"ham sandwich theorem" meaning in English

{
  "etymology_text": "By analogy with cutting a sandwich having three layers (two of bread and one of ham), for the case where n=3.",
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  "lang": "English",
  "lang_code": "en",
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      "glosses": [
        "A theorem stating that, given n measurable \"objects\" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane."
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          "Euclidean space",
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        [
          "divide",
          "divide"
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        [
          "measure",
          "measure"
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          "volume",
          "volume"
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          "hyperplane",
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      "raw_glosses": [
        "(mathematics) A theorem stating that, given n measurable \"objects\" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane."
      ],
      "related": [
        {
          "word": "pancake theorem"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "ham sandwich theorem"
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  "word": "ham sandwich theorem"
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{
  "etymology_text": "By analogy with cutting a sandwich having three layers (two of bread and one of ham), for the case where n=3.",
  "forms": [
    {
      "form": "the ham sandwich theorem",
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        "canonical"
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  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "pancake theorem"
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      "glosses": [
        "A theorem stating that, given n measurable \"objects\" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane."
      ],
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          "Euclidean space"
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          "measure"
        ],
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          "volume",
          "volume"
        ],
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        "(mathematics) A theorem stating that, given n measurable \"objects\" in n-dimensional Euclidean space, it is possible to divide all of them in half (with respect to their measure, i.e. volume) with a single (n−1)-dimensional hyperplane."
      ],
      "topics": [
        "mathematics",
        "sciences"
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