mathmlben/data/19.json

Visualization for goldstandard

{
  "definitions": {
    "Z": [
      "canonical partition function",
      {
        "Q230963": "Partition function (statistical mechanics) "
      }
    ],
    "j": [
      {
        "Q2303886": "index (the numbering of various objects within the mathematical notation )"
      }
    ],
    "g_{j}": [
      "degeneracy factor",
      {}
    ],
    "\\mathrm{e}": [
      {
        "Q168698": "exponential function (unique function which is its own derivative and equals one at zero)"
      }
    ],
    "\\beta": [
      "inverse temperature",
      {
        "Q917476": "Thermodynamic beta"
      }
    ],
    "E_{j}": [
      "energy level",
      {}
    ]
  },
  "constraints": [],
  "math_inputtex": " Z = \\sum_{j} g_j \\cdot \\mathrm{e}^{- \\beta E_j}",
  "math_inputtex_semantic": "\\wf{Q230963}{Z} = \\sum_{\\w{Q2303886}{j}} g_j \\cdot \\mathrm{e}^{-{\\w{Q917476}{\\beta} \\w{Q669532}{E}_j}}",
  "correct_tex": " Z = \\sum_{j} g_j \\cdot \\mathrm{e}^{- \\beta E_j}",
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  "uri": "https://en.formulasearchengine.com/w/index.php?oldid=3897#math3897.2",
  "title": "Partition_function_(statistical_mechanics)",
  "type": "equation",
  "check": {
    "tree": true,
    "qid": true
  }
}