{"componentChunkName":"component---src-templates-form-page-js","path":"/sdm/","matchPath":"/sdm/*","result":{"data":{"page":{"body":"function _extends() { _extends = Object.assign || function (target) { for (var i = 1; i < arguments.length; i++) { var source = arguments[i]; for (var key in source) { if (Object.prototype.hasOwnProperty.call(source, key)) { target[key] = source[key]; } } } return target; }; return _extends.apply(this, arguments); }\n\nfunction _objectWithoutProperties(source, excluded) { if (source == null) return {}; var target = _objectWithoutPropertiesLoose(source, excluded); var key, i; if (Object.getOwnPropertySymbols) { var sourceSymbolKeys = Object.getOwnPropertySymbols(source); for (i = 0; i < sourceSymbolKeys.length; i++) { key = sourceSymbolKeys[i]; if (excluded.indexOf(key) >= 0) continue; if (!Object.prototype.propertyIsEnumerable.call(source, key)) continue; target[key] = source[key]; } } return target; }\n\nfunction _objectWithoutPropertiesLoose(source, excluded) { if (source == null) return {}; var target = {}; var sourceKeys = Object.keys(source); var key, i; for (i = 0; i < sourceKeys.length; i++) { key = sourceKeys[i]; if (excluded.indexOf(key) >= 0) continue; target[key] = source[key]; } return target; }\n\n/* @jsx mdx */\nvar _frontmatter = {\n  \"template\": \"form-page\",\n  \"slug\": \"sdm\",\n  \"title\": \"SDM\",\n  \"featuredImage\": \"\",\n  \"subtitle\": \"\",\n  \"meta\": {\n    \"description\": \"PVfit Single Diode Model (SDM) Calibration over a Range of Irradiance and Temperature\",\n    \"title\": \"Single Diode Model (SDM)\"\n  },\n  \"tabs\": [{\n    \"path\": \"/sdm/fit/\",\n    \"label\": \"Fit\"\n  }, {\n    \"path\": \"/sdm/info/\",\n    \"label\": \"Info\"\n  }, {\n    \"path\": \"/sdm/api/\",\n    \"label\": \"API\"\n  }]\n};\n\nvar makeShortcode = function makeShortcode(name) {\n  return function MDXDefaultShortcode(props) {\n    console.warn(\"Component \" + name + \" was not imported, exported, or provided by MDXProvider as global scope\");\n    return mdx(\"div\", props);\n  };\n};\n\nvar Link = makeShortcode(\"Link\");\nvar layoutProps = {\n  _frontmatter: _frontmatter\n};\nvar MDXLayout = \"wrapper\";\nreturn function MDXContent(_ref) {\n  var components = _ref.components,\n      props = _objectWithoutProperties(_ref, [\"components\"]);\n\n  return mdx(MDXLayout, _extends({}, layoutProps, props, {\n    components: components,\n    mdxType: \"MDXLayout\"\n  }), mdx(\"h2\", null, \"Model Description and Calibration Algorithm\"), mdx(\"h3\", null, \"Model Description\"), mdx(\"p\", null, \"PVfit's Single Diode Model (SDM) is similar to \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"http://files.pvsyst.com/help/pvmodule_model.htm\"\n  }), \"PVsyst's model\"), \", except that PVfit's SDM does not require a short-circuit temperature coefficient and assumes a constant parallel conductance (equivalently, shunt resistance) and ideality factor. The SDM models the direct-current\", \"\\xA0\", \"(DC) relationship between terminal current \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"I\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\")))), \" and terminal voltage \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"V\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"V\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.22222em\"\n    }\n  }), \"V\")))), \" for a photovoltaic\", \"\\xA0\", \"(PV) device as a function of irradiance and temperature and assuming homogeneous conditions. A \", mdx(\"em\", {\n    parentName: \"p\"\n  }, \"PV device\"), \" is defined as some number \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"N_\\\\text{p}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.969438em\",\n      \"verticalAlign\": \"-0.286108em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" of strings of PV cells connected in parallel, where each string has \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"N_\\\\text{s}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.83333em\",\n      \"verticalAlign\": \"-0.15em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" cells in series, and all cells are at temperature \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"T\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), \". Irradiance is modeled as the \", mdx(\"em\", {\n    parentName: \"p\"\n  }, \"effective irradiance ratio\"), \" \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"F\"), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\")), mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"F = \\\\frac{I_\\\\text{sc}}{I_{\\\\text{sc}_0}}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"F\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.4833509999999999em\",\n      \"verticalAlign\": \"-0.59492em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.8884309999999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.655em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.1645428571428571em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3569999999999998em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3447999999999998em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.64444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.29964em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3570285714285715em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.23em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.04em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.4101em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.16454285714285719em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.59492em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter\"\n  })))))), \", where \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_\\\\text{sc}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.83333em\",\n      \"verticalAlign\": \"-0.15em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" is the device's short-circuit current at operating conditions\", \"\\xA0\", \"(OC), and \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_{\\\\text{sc}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.93343em\",\n      \"verticalAlign\": \"-0.2501em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.31731428571428577em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" is the device's short-circuit at reference conditions\", \"\\xA0\", \"(RC).\"), mdx(\"p\", null, \"The model is ideally calibrated using I-V curves taken at the RC and over a wide range of OC with steady state T and F determined from a PV reference device with spectral mismatch correction. \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"https://webstore.iec.ch/publication/6035\"\n  }), \"IEC 61853-1 matrix datasets\"), \" are readily accomodated by converting \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_\\\\text{sc}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.83333em\",\n      \"verticalAlign\": \"-0.15em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" values to \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"F\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"F\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"F\")))), \" values at each OC. (PVfit can do this conversion for you.) For subsequent performance prediction, the F and T inputs to calibrated model may be available from a matched PV reference device (\", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"https://pvpmc.sandia.gov/download/7302/\"\n  }), \"poster\"), \"). However the model inputs can also be derived from conventional meteorological data using, e.g., the \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"https://pvpmc.sandia.gov/modeling-steps/2-dc-module-iv/point-value-models/sandia-pv-array-performance-model/\"\n  }), \"Sandia Array Performance Model\"), \". You are welcome to \", mdx(Link, {\n    to: \"/about\",\n    mdxType: \"Link\"\n  }, \"contact us\"), \" about how to best determine these values for your particular device and measurements.\"), mdx(\"p\", null, \"Specifically, the relationship for conserved current at the diode node is given by\\u2014\"), mdx(\"span\", {\n    \"className\": \"katex-display\"\n  }, mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\",\n    \"display\": \"block\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mn\", {\n    parentName: \"mrow\"\n  }, \"0\"), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"ph\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"rs\")), mdx(\"mtext\", {\n    parentName: \"mrow\"\n  }, \"\\u2009\\u2063\"), mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"mtext\", {\n    parentName: \"mrow\"\n  }, \"\\u2009\\u2063\"), mdx(\"msup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msup\"\n  }, \"e\"), mdx(\"mfrac\", {\n    parentName: \"msup\"\n  }, mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"q\"), mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"V\"), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"+\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\"))), mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"k\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"b\")), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"n\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"T\")))), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"mn\", {\n    parentName: \"mrow\"\n  }, \"1\"), mdx(\"mtext\", {\n    parentName: \"mrow\"\n  }, \"\\u2009\\u2063\"), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\")), mdx(\"mtext\", {\n    parentName: \"mrow\"\n  }, \"\\u2009\\u2063\"), mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"V\"), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"+\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"I\"), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"0 = I_\\\\text{ph} - I_\\\\text{rs}\\\\!\\\\left(\\\\!e^{\\\\frac{q  \\\\left(V + I R_\\\\text{s} \\\\right)}{N_\\\\text{s} k_\\\\text{b} n T}} - 1\\\\!\\\\right) - G_\\\\text{p}\\\\!\\\\left( V + I R_\\\\text{s} \\\\right) - I,\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.64444em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), \"0\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.969438em\",\n      \"verticalAlign\": \"-0.286108em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3361079999999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"ph\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"\\u2212\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"2.40003em\",\n      \"verticalAlign\": \"-0.95003em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"rs\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"-0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size3\"\n  }), \"(\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"-0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"e\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.24982em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.5233700000000003em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter sizing reset-size3 size6\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.0377857142857143em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.656em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03148em\"\n    }\n  }), \"k\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3448em\",\n      \"marginLeft\": \"-0.03148em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.69444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"b\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.34963999999999995em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\"\n  }), \"n\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.2255000000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line mtight\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.049em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.5020714285714285em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03588em\"\n    }\n  }), \"q\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen mtight delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mtight\"\n  }), \"(\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.22222em\"\n    }\n  }), \"V\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin mtight\"\n  }), \"+\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose mtight delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mtight\"\n  }), \")\"))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.5937428571428571em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter sizing reset-size3 size6\"\n  }))))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"\\u2212\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), \"1\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"-0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size3\"\n  }), \")\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"\\u2212\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.036108em\",\n      \"verticalAlign\": \"-0.286108em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"-0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), \"(\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.22222em\"\n    }\n  }), \"V\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"+\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), \")\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"\\u2212\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.8777699999999999em\",\n      \"verticalAlign\": \"-0.19444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mpunct\"\n  }), \",\"))))), mdx(\"p\", null, \"with auxiliary equations\\u2014\"), mdx(\"span\", {\n    \"className\": \"katex-display\"\n  }, mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\",\n    \"display\": \"block\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mtable\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"rowspacing\": \"0.24999999999999992em\",\n    \"columnalign\": \"right left\",\n    \"columnspacing\": \"0em\"\n  }), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"ph\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"rs\")), mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"msup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msup\"\n  }, \"e\"), mdx(\"mfrac\", {\n    parentName: \"msup\"\n  }, mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"q\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\")), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"))), mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"k\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"b\")), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"n\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"T\")))), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"mn\", {\n    parentName: \"mrow\"\n  }, \"1\"), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"+\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\")), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\")), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"+\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\")), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"rs\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"rs\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"msup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mrow\", {\n    parentName: \"msup\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"mfrac\"\n  }, \"T\"), mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"T\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\")), mdx(\"mn\", {\n    parentName: \"msup\"\n  }, \"3\")), mdx(\"msup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msup\"\n  }, \"e\"), mdx(\"mrow\", {\n    parentName: \"msup\"\n  }, mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"\\u03BD\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"q\")), mdx(\"mrow\", {\n    parentName: \"mfrac\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"k\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"b\")), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"n\"))), mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }, mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \"(\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"E\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"g\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"T\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"\\u2212\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"E\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"g\")), mdx(\"mi\", {\n    parentName: \"mfrac\"\n  }, \"T\")), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"fence\": \"true\"\n  }), \")\")))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mi\", {\n    parentName: \"mstyle\"\n  }, \"n\"))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"n\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"E\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"g\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"E\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"g\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\"))))), mdx(\"mtr\", {\n    parentName: \"mtable\"\n  }, mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"msub\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\")))), mdx(\"mtd\", {\n    parentName: \"mtr\"\n  }, mdx(\"mstyle\", _extends({\n    parentName: \"mtd\"\n  }, {\n    \"scriptlevel\": \"0\",\n    \"displaystyle\": \"true\"\n  }), mdx(\"mrow\", {\n    parentName: \"mstyle\"\n  }, mdx(\"mrow\", {\n    parentName: \"mrow\"\n  }), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"F\"), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"mo\", _extends({\n    parentName: \"mrow\"\n  }, {\n    \"separator\": \"true\"\n  }), \",\")))))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"\\\\begin{aligned}\\n  I_\\\\text{ph} &= I_\\\\text{rs} \\\\left(e^{\\\\frac{q I_\\\\text{sc} R_\\\\text{s}}{N_\\\\text{s} k_\\\\text{b} n T}} - 1 \\\\right) + G_\\\\text{p} I_\\\\text{sc} R_\\\\text{s} + I_\\\\text{sc}, \\\\\\\\\\n  I_\\\\text{rs} &= I_{\\\\text{rs}_0} \\\\left( \\\\frac{T}{T_0} \\\\right)^3 e^{\\\\frac{\\\\nu q}{k_\\\\text{b} n} \\\\left( \\\\frac{E_{\\\\text{g}_0}}{T_0} - \\\\frac{E_\\\\text{g}}{T} \\\\right)}, \\\\\\\\\\n  n &= n_0, \\\\\\\\\\n  R_\\\\text{s} &= R_{\\\\text{s}_0}, \\\\\\\\\\n  G_\\\\text{p} &= G_{\\\\text{p}_0}, \\\\\\\\\\n  E_\\\\text{g} &= E_{\\\\text{g}_0}, \\\\\\\\\\n  I_\\\\text{sc} &= F I_{\\\\text{sc}_0},\\n\\\\end{aligned}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"12.545542999999999em\",\n      \"verticalAlign\": \"-6.0227715em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mtable\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"col-align-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"6.522771499999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-8.9852945em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3361079999999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"ph\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-6.381266499999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"rs\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-4.291236499999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"n\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.7912364999999992em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-1.2912364999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"0.20876349999999988em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.05764em\"\n    }\n  }), \"E\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.05764em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"g\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"1.7087634999999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"6.0227715em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"col-align-l\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"6.522771499999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-8.9852945em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"rs\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size2\"\n  }), \"(\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"e\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.191485em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.5233700000000003em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter sizing reset-size3 size6\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.95445em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.656em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03148em\"\n    }\n  }), \"k\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3448em\",\n      \"marginLeft\": \"-0.03148em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.69444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"b\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.34963999999999995em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\"\n  }), \"n\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.2255000000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line mtight\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.049em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.466357142857143em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03588em\"\n    }\n  }), \"q\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.5937428571428571em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter sizing reset-size3 size6\"\n  }))))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"\\u2212\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), \"1\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size2\"\n  }), \")\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"+\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin\"\n  }), \"+\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2222222222222222em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mpunct\"\n  }), \",\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-6.381266499999999em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3.654008em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"rs\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.31731428571428577em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size3\"\n  }), \"(\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.36033em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3139999999999996em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.30110799999999993em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.13889em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.23em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.04em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.677em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.8360000000000001em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter\"\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose delimcenter\",\n    \"style\": {\n      \"top\": \"0em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"delimsizing size3\"\n  }), \")\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.6540080000000001em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.9029000000000003em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"3\")))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.16666666666666666em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"e\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"1.341305em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.5233700000000003em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter sizing reset-size3 size6\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: 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\"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03148em\"\n    }\n  }), \"k\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3448em\",\n      \"marginLeft\": \"-0.03148em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.69444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"b\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.34963999999999995em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\"\n  }), \"n\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.2255000000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line mtight\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.049em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.4623857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.06366em\"\n    }\n  }), \"\\u03BD\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.03588em\"\n    }\n  }), \"q\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.5937428571428571em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter sizing reset-size3 size6\"\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"minner mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen sizing reset-size3 size6 mtight delimcenter\",\n    \"style\": {\n      \"top\": \"0.07500000000000001em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  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mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3447999999999998em\",\n      \"marginLeft\": \"-0.13889em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.64444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.29964em\"\n    }\n  }), mdx(\"span\", {\n    parentName: 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parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"g\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.3448em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3447999999999998em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.64444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\"))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.29964em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", 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_extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.2255000000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line mtight\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.049em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.605242857142857em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.05764em\"\n    }\n  }), \"E\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.23056em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.3000000000000003em\",\n      \"marginLeft\": \"-0.05764em\",\n      \"marginRight\": \"0.1em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"g\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": 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\"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  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parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mpunct\"\n  }), \",\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"6.0227715em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))))), mdx(\"p\", null, \"four device-level observables at OC\\u2014\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"V\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"V\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.22222em\"\n    }\n  }), \"V\")))), \" terminal voltage \", \"[V]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"I\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\")))), \" terminal current \", \"[A]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"F\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"F\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"F\")))), \" effective irradiance ratio \", \"[\\xB7]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"T\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"T\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.68333em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.13889em\"\n    }\n  }), \"T\")))), \" cell temperature \", \"[K]\", \",\")), mdx(\"p\", null, \"six device-level model parameters at RC\\u2014\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"sc\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_{\\\\text{sc}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.93343em\",\n      \"verticalAlign\": \"-0.2501em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"sc\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.31731428571428577em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" short-circuit current \", \"[A]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"rs\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_{\\\\text{rs}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.93343em\",\n      \"verticalAlign\": \"-0.2501em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"rs\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.31731428571428577em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" diode reverse-saturation current \", \"[A]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"n\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"n_0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.58056em\",\n      \"verticalAlign\": \"-0.15em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"n\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.30110799999999993em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" diode ideality factor \", \"[\\xB7]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"R_{\\\\text{s}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.93343em\",\n      \"verticalAlign\": \"-0.2501em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139199999999997em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.31731428571428577em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2501em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" series resistance \", \"[\\u03A9]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"G_{\\\\text{p}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.019438em\",\n      \"verticalAlign\": \"-0.33610799999999996em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.19444571428571428em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.2341314285714287em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.26586857142857145em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.33610799999999996em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" parallel (shunt) conductance \", \"[S]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"E\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"g\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"E_{\\\\text{g}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.019438em\",\n      \"verticalAlign\": \"-0.33610799999999996em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.05764em\"\n    }\n  }), \"E\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15139200000000003em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.05764em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"g\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.19444571428571428em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.2341314285714287em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.26586857142857145em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.33610799999999996em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" material band gap \", \"[eV]\", \",\")), mdx(\"p\", null, \"and constants\\u2014\"), mdx(\"ul\", null, mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"q\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"q\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.625em\",\n      \"verticalAlign\": \"-0.19444em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.03588em\"\n    }\n  }), \"q\")))), \" elementary charge \", \"[1.602176634e-19\", \"\\xA0\", \"C]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"k\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"B\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"k_\\\\text{B}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.84444em\",\n      \"verticalAlign\": \"-0.15em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.03148em\"\n    }\n  }), \"k\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.32833099999999993em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.03148em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"B\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" Boltzmann constant \", \"[1.380649e-23\", \"\\xA0\", \"J/K]\", \",\"), mdx(\"li\", {\n    parentName: \"ul\"\n  }, mdx(\"span\", _extends({\n    parentName: \"li\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"mi\", {\n    parentName: \"mrow\"\n  }, \"\\u03BD\")), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"\\\\nu\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.43056em\",\n      \"verticalAlign\": \"0em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.06366em\"\n    }\n  }), \"\\u03BD\")))), \" coversion factor \", \"[1\", \"\\xA0\", \"J/eV/C]\", \".\")), mdx(\"p\", null, \"If needed, then the series resistance and parallel conductance of each PV cell in the device can be calculated as \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msubsup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msubsup\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msubsup\"\n  }, \"s\"), mdx(\"mo\", {\n    parentName: \"msubsup\"\n  }, \"\\u2217\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\")), mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"))), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"R\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"R_\\\\text{s}^* = \\\\frac{N_\\\\text{p}}{N_\\\\text{s}} R_\\\\text{s}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"0.935696em\",\n      \"verticalAlign\": \"-0.247em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.688696em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.4530000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.063em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin mtight\"\n  }), \"\\u2217\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.247em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.4307509999999999em\",\n      \"verticalAlign\": \"-0.44509999999999994em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mopen nulldelimiter\"\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mfrac\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.985651em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.655em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.16454285714285719em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.23em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"frac-line\",\n    \"style\": {\n      \"borderBottomWidth\": \"0.04em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.50732em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.16454285714285716em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.2818857142857143em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.44509999999999994em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter\"\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.00773em\"\n    }\n  }), \"R\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.151392em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.00773em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"s\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.15em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \" and \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msubsup\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msubsup\"\n  }, \"G\"), mdx(\"mtext\", {\n    parentName: \"msubsup\"\n  }, \"p\"), mdx(\"mo\", {\n    parentName: \"msubsup\"\n  }, \"\\u2217\")), mdx(\"mo\", {\n    parentName: \"mrow\"\n  }, \"=\"), mdx(\"mfrac\", {\n    parentName: \"mrow\"\n  }, mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"s\")), mdx(\"msub\", {\n    parentName: \"mfrac\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"N\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\"))), mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"G\"), mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"p\"))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"G_\\\\text{p}^* = \\\\frac{N_\\\\text{s}}{N_\\\\text{p}} G_\\\\text{p}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.071804em\",\n      \"verticalAlign\": \"-0.383108em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.688696em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.4530000000000003em\",\n      \"marginLeft\": \"0em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-3.063em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mbin mtight\"\n  }), \"\\u2217\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.383108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mrel\"\n  }), \"=\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mspace\",\n    \"style\": {\n      \"marginRight\": \"0.2777777777777778em\"\n    }\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    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\"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"3em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal mtight\",\n    \"style\": {\n      \"marginRight\": \"0.10903em\"\n    }\n  }), \"N\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.16454285714285716em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.357em\",\n      \"marginLeft\": \"-0.10903em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"p\"))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": 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}\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.5423199999999999em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mclose nulldelimiter\"\n  }))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\"\n  }), \"G\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": 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mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.286108em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \", respectively.\"), mdx(\"h3\", null, \"Calibration Algorithm\"), mdx(\"p\", null, \"Given current-voltage\", \"\\xA0\", \"(I-V) curve data for a PV device over a range of irradiance and temperature, PVfit's calibration algorithm finds optimal model parameters for the SDM that fit this data. The fitting of six parameters requires I-V data over a sufficient range of irradiance and temperature, and automated selection of initial conditions requires at least one I-V curve to be close to RC and sufficiently dense (\", \"\\u2265\", \"3 well-distributed points). The derived parameters, e.g., \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"I\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"ph\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"I_{\\\\text{ph}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"strut\",\n    \"style\": {\n      \"height\": \"1.019438em\",\n      \"verticalAlign\": \"-0.33610799999999996em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mathnormal\",\n    \"style\": {\n      \"marginRight\": \"0.07847em\"\n    }\n  }), \"I\"), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.33610799999999996em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.5500000000000003em\",\n      \"marginLeft\": \"-0.07847em\",\n      \"marginRight\": \"0.05em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.7em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size6 size3 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord text mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"ph\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"msupsub\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-t vlist-t2\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.19444571428571428em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"style\": {\n      \"top\": \"-2.2341314285714287em\",\n      \"marginRight\": \"0.07142857142857144em\"\n    }\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"pstrut\",\n    \"style\": {\n      \"height\": \"2.5em\"\n    }\n  })), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"sizing reset-size3 size1 mtight\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"mord mtight\"\n  }), \"0\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.26586857142857145em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  })))))))))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-s\"\n  }), \"\\u200B\")), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist-r\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"vlist\",\n    \"style\": {\n      \"height\": \"0.33610799999999996em\"\n    }\n  }), mdx(\"span\", {\n    parentName: \"span\"\n  }))))))))), \", \", mdx(\"span\", _extends({\n    parentName: \"p\"\n  }, {\n    \"className\": \"katex\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-mathml\"\n  }), mdx(\"math\", _extends({\n    parentName: \"span\"\n  }, {\n    \"xmlns\": \"http://www.w3.org/1998/Math/MathML\"\n  }), mdx(\"semantics\", {\n    parentName: \"math\"\n  }, mdx(\"mrow\", {\n    parentName: \"semantics\"\n  }, mdx(\"msub\", {\n    parentName: \"mrow\"\n  }, mdx(\"mi\", {\n    parentName: \"msub\"\n  }, \"P\"), mdx(\"msub\", {\n    parentName: \"msub\"\n  }, mdx(\"mtext\", {\n    parentName: \"msub\"\n  }, \"mp\"), mdx(\"mn\", {\n    parentName: \"msub\"\n  }, \"0\")))), mdx(\"annotation\", _extends({\n    parentName: \"semantics\"\n  }, {\n    \"encoding\": \"application/x-tex\"\n  }), \"P_{\\\\text{mp}_0}\")))), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"katex-html\",\n    \"aria-hidden\": \"true\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n    \"className\": \"base\"\n  }), mdx(\"span\", _extends({\n    parentName: \"span\"\n  }, {\n 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The optimizer minimizes the sum of squared residuals for each I-V point for the high-voltage diode node's current sum, which defines the SDM. No model is perfect, and users are expected to inspect the quality of the fit for thier particular device and data, e.g., look for non-random patterns in the fit residuals. Open-source computational code for further analyses, such as fit quality and performance predictions, is available (in Python) at \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"https://github.com/markcampanelli/pvfit\"\n  }), \"https://github.com/markcampanelli/pvfit\"), \".\"), mdx(\"p\", null, \"The IEC 61853-1 matrix dataset examples are taken from \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"https://pvpmc.sandia.gov/pv-research/pv-lifetime-project/pv-lifetime-modules/\"\n  }), \"Sandia National Labs\"), \" and \", mdx(\"a\", _extends({\n    parentName: \"p\"\n  }, {\n    \"href\": \"http://www.firstsolar.com/-/media/First-Solar/Technical-Documents/Series-4-Energy-Prediction/Third-Party-Validation-of-First-Solar-PAN-Files.ashx\"\n  }), \"First Solar\"), \", whom we graciously thank. 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mono x-Si module","data":[{"name":"IEC_61853-1_matrix","value":"null, null, null, null\n11.395,\t351.1,\t32.70,\t40.30\n11.482,\t316.2,\t29.49,\t37.40\n11.572,\t280.6,\t26.40,\t34.45\n\n10.328,\t332.7,\t33.97,\t41.25\n10.355,\t320.3,\t32.72,\t40.13\n10.434,\t288.5,\t29.57,\t37.23\n10.500,\t255.9,\t26.42,\t34.27\n\n8.236,\t267.0,\t34.09,\t40.91\n8.264,\t257.0,\t32.86,\t39.77\n8.325,\t231.7,\t29.70,\t36.84\n8.384,\t205.6,\t26.48,\t33.81\n\n6.167,\t200.3,\t34.06,\t40.45\n6.187,\t192.47,\t32.82,\t39.30\n6.231,\t173.90,\t29.70,\t36.32\n6.273,\t154.08,\t26.43,\t33.25\n\n4.089,\t132.77,\t33.83,\t39.81\n4.097,\t127.59,\t32.59,\t38.63\n4.136,\t115.06,\t29.55,\t35.59\n4.172,\t101.97,\t26.22,\t32.45\n\n2.042,\t65.10,\t33.26,\t38.69\n2.041,\t62.36,\t31.98,\t37.47\n2.064,\t56.21,\t28.73,\t34.33\n2.083,\t49.68,\t25.45,\t31.09\n\n1.0243,\t31.75,\t32.48,\t37.58\n1.0276,\t30.64,\t30.98,\t36.33\n1.0391,\t27.25,\t27.83,\t33.12\n1.0449,\t23.83,\t24.45,\t29.75"},{"name":"N_s","value":"60"},{"name":"material","value":"x-Si"}]},{"fieldset":"IEC_61853-1_matrix","label":"72-cell poly x-Si module","data":[{"name":"IEC_61853-1_matrix","value":"null, null, null, null\n10.229, 304.7, 31.46, 38.46\n10.322, 273.1, 28.30, 35.54\n10.414, 241.6, 25.17, 32.58\n\n9.262, 288.5, 32.74, 39.46\n9.299, 277.4, 31.48, 38.29\n9.385, 248.5, 28.29, 35.35\n9.455, 219.7, 25.18, 32.39\n\n7.387, 230.5, 32.74, 39.08\n7.420, 221.4, 31.47, 37.92\n7.490, 198.65, 28.27, 34.95\n7.548, 175.45, 25.12, 31.94\n\n5.533, 172.54, 32.65, 38.61\n5.550, 165.40, 31.36, 37.43\n5.610, 148.34, 28.14, 34.41\n5.649, 130.66, 24.97, 31.36\n\n3.664, 113.50, 32.38, 37.94\n3.677, 108.93, 31.07, 36.73\n3.723, 97.44, 27.82, 33.66\n3.753, 85.87, 24.60, 30.54\n\n1.8303, 55.34, 31.63, 36.81\n1.8334, 53.12, 30.30, 35.56\n1.8621, 47.36, 27.04, 32.39\n1.8772, 41.39, 23.73, 29.16\n\n0.9133, 26.78, 30.77, 35.70\n0.9223, 25.61, 29.41, 34.40\n0.9342, 22.68, 26.09, 31.14\n0.9411, 19.73, 22.71, 27.79"},{"name":"T_degC_0","value":"25"},{"name":"N_s","value":"72"},{"name":"material","value":"x-Si"}]},{"fieldset":"IEC_61853-1_matrix","label":"216-cell CdTe module","data":[{"name":"IEC_61853-1_matrix","value":"null, null, null, null\n2.01, 123.15, 67.62, 87.38\n2.03, 114.34, 62.65, 82.71\n2.05, 107.27, 58.83, 79.11\n\n1.82, 115.61, 70.05, 88.92\n1.83, 112.47, 67.89, 87.0\n1.85, 104.38, 62.88, 82.3\n1.86, 97.89, 58.97, 78.64\n\n1.46, 93.16, 70.41, 88.07\n1.46, 90.59, 68.31, 86.1\n1.48, 83.97, 63.1, 81.25\n1.49, 78.66, 59.2, 77.52\n\n1.09, 70.06, 70.73, 86.96\n1.1, 68.08, 68.48, 84.92\n1.11, 62.98, 63.16, 79.93\n1.12, 58.9, 59.02, 76.08\n\n0.73, 46.48, 70.43, 85.38\n0.73, 45.1, 68.17, 83.25\n0.74, 41.59, 62.61, 78.06\n0.75, 38.77, 58.42, 74.06\n\n0.37, 22.7, 69.26, 82.65\n0.37, 21.97, 66.77, 80.38\n0.37, 20.12, 60.93, 74.85\n0.37, 18.64, 56.37, 70.57\n\n0.18, 10.9, 67.21, 79.87\n0.18, 10.51, 64.71, 77.47\n0.19, 9.55, 58.49, 71.61\n0.19, 8.78, 53.73, 67.05"},{"name":"T_degC_0","value":"25"},{"name":"N_s","value":"216"},{"name":"material","value":"CdTe"}]}]},"api":{"name":"sdm","heading":"API (Application Programming Interface)","description":"Call this fitting service with clients other than a web browser.\nPVfit offers a simple RESTful interface. Options include using—\n","platforms":[{"name":"curl","language":"shell","ext":"sh","description":"[cURL](https://en.wikipedia.org/wiki/CURL) from a terminal prompt. \n(Tools like [Postman](https://www.getpostman.com/) can import the cURL command.)\n","template":"curl -i -H \"Content-Type: {{dataProvider.contentType}}\" -X {{dataProvider.method}} -d \\\n'{ \"V_V\": [ {{i_v_curve_data.V_V|split:,|takeNthOfArray:3|join:,}} ], \"I_A\": [ {{i_v_curve_data.I_A|split:,|takeNthOfArray:3|join:,}} ], \"F\": [ {{i_v_curve_data.F|split:,|takeNthOfArray:3|join:,}} ], \"N_s\": {{i_v_curve_data.N_s}}, \"T_degC\": [ {{i_v_curve_data.T_degC|split:,|takeNthOfArray:3|join:,}} ], \"T_degC_0\": {{i_v_curve_data.T_degC_0}}, \"material\": \"{{i_v_curve_data.material}}\" }' \\\n{{dataProvider.url}}"},{"name":"python","language":"python","ext":"py","description":"A Python script using the [numpy](https://numpy.org) and [requests](https://requests.readthedocs.io) packages.\n","template":"import numpy\nimport requests\n\n# Start with some \"flattened\" numpy vector data for the V-I-F-T curves\n# Voltages\nV_V = numpy.array([ {{i_v_curve_data.V_V|split:,|takeNthOfArray:3|join:,}} ])\n\n# Currents\nI_A = numpy.array([ {{i_v_curve_data.I_A|split:,|takeNthOfArray:3|join:,}} ])\n\n# Effective Irradiance Ratios\nF = numpy.array([ {{i_v_curve_data.F|split:,|takeNthOfArray:3|join:,}} ])\n\n# Cell temperatures (a.k.a. the effective diode-junction temperatures)\nT_degC = numpy.array([ {{i_v_curve_data.T_degC|split:,|takeNthOfArray:3|join:,}} ])\n\n# The PV device's number of cells in series in each parallel string\nN_s = {{i_v_curve_data.N_s}}\n\n# The reference temperature\nT_degC_0 = {{i_v_curve_data.T_degC_0}}\n\n# The material (currently CIS, or CIGS, CdTe, GaAs, or x-Si)\nmaterial = \"{{i_v_curve_data.material}}\"\n\n# Call the REST API to fit I-V data to the basic single diode model\nresponse = requests.{{dataProvider.method|toLowerCase}}('{{dataProvider.url}}', headers={'Content-Type': '{{dataProvider.contentType}}'}, json={'V_V': V_V.tolist(), 'I_A': I_A.tolist(), 'F': F.tolist(), 'T_degC': T_degC.tolist(), 'N_s': N_s, 'T_degC_0': T_degC_0, 'material': material})\n\n# Did call succeed? (If not 200, then the remaining calls probably will not work as expected.)\nprint('Response status code: ' + str(response.status_code))\n\n# Get the json response as a Python dict and display all the results\nresponse_json_dict = response.json()\nprint('Response json string:\\n ' + str(response_json_dict))\n\n# Print some key results\nprint('Fit success:\\n ' + str(response_json_dict['success']))\nprint('Fit model parameters:\\n ' + str(response_json_dict['model_params_fit']))\nprint('I_ph_A_0 = ' + str(response_json_dict['derived_params_fit']['I_ph_A_0']))\nprint('P_mp_W_0 = ' + str(response_json_dict['derived_params_fit']['P_mp_W_0']))\nprint('V_oc_V_0 = ' + str(response_json_dict['derived_params_fit']['V_oc_V_0']))\nprint('rmsd_norm_by_I_ph_0 = ' + str(response_json_dict['fit_info']['rmsd_norm_by_I_ph_0']))\n\n# Example of converting back to numpy array\nres_A_fit = numpy.asarray(response_json_dict['fit_info']['res_A_fit'], dtype=numpy.float64)\nprint('res_A_fit = \\n' + numpy.array_str(res_A_fit))"}]}},"pageContext":{"matchPath":"/sdm/*","id":"fffba337-1656-52b8-82b4-93b2a32aeb9f","slug":"sdm"}}}