"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.",
  "forms": [
    {
      "form": "the ham sandwich theorem",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1",
        "head": "ham sandwich theorem"
      },
      "expansion": "the ham sandwich theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "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."
      ],
      "id": "en-ham_sandwich_theorem-en-name-bTql25Ig",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "divide",
          "divide"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "hyperplane",
          "hyperplane"
        ]
      ],
      "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"
      ]
    }
  ],
  "word": "ham sandwich theorem"
}

{
  "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",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1",
        "head": "ham sandwich theorem"
      },
      "expansion": "the ham sandwich theorem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "related": [
    {
      "word": "pancake theorem"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "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."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Euclidean space",
          "Euclidean space"
        ],
        [
          "divide",
          "divide"
        ],
        [
          "measure",
          "measure"
        ],
        [
          "volume",
          "volume"
        ],
        [
          "hyperplane",
          "hyperplane"
        ]
      ],
      "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."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "ham sandwich theorem"
      ]
    }
  ],
  "word": "ham sandwich theorem"
}