"homomesy" meaning in English

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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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          "langcode": "en",
          "name": "Mathematics",
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      "examples": [
        {
          "ref": "2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv",
          "text": "After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The property of a set where all orbit averages are equal to the global average."
      ],
      "id": "en-homomesy-en-noun-YHHpAO2V",
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          "mathematics",
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          "orbit",
          "orbit"
        ],
        [
          "average",
          "average"
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        [
          "global",
          "global"
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      ],
      "raw_glosses": [
        "(mathematics) The property of a set where all orbit averages are equal to the global average."
      ],
      "related": [
        {
          "word": "homomesic"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
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  "word": "homomesy"
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "homomesic"
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      "examples": [
        {
          "ref": "2015, David B. Rush, Kelvin Wang, “On Orbits of Order Ideals of Minuscule Posets II: Homomesy”, in arXiv",
          "text": "After recourse to work of Rush and Shi mapping the anatomy of the lattice isomorphism, the upshot is a uniform proof that the cardinality statistic exhibits homomesy. A further application of these ideas shows that the statistic tracking the number of maximal elements in an order ideal is also homomesic, extending another result of Propp and Roby..",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The property of a set where all orbit averages are equal to the global average."
      ],
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          "mathematics",
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          "orbit",
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          "average",
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        ],
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          "global",
          "global"
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      "raw_glosses": [
        "(mathematics) The property of a set where all orbit averages are equal to the global average."
      ],
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        "mathematics",
        "sciences"
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  "word": "homomesy"
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