"elliptope" meaning in All languages combined

{
  "etymology_text": "coined in: M. Laurent and S. Poljak, On a positive semidefinite relaxation of the cut polytope, Linear Algebra Appl., 223/224, (1995), 439-461",
  "forms": [
    {
      "form": "elliptopes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "elliptope (plural elliptopes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Anupam Prakash, Jamie Sikora, Antonios Varvitsiotis, Zhaohui Wei, “Completely positive semidefinite rank”, in arXiv",
          "text": "In particular, we use a known lower bound on the size of matrix representations of extremal quantum correlations which we apply to high-rank extreme points of the n-dimensional elliptope. Lastly, we study cpsd-graphs, i.e., graphs G with the property that every doubly nonnegative matrix whose support is given by G is cpsd.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative."
      ],
      "id": "en-elliptope-en-noun-WzBjkzJn",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "real",
          "real"
        ],
        [
          "square",
          "square"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "matrices",
          "matrix"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "elliptope"
}

{
  "etymology_text": "coined in: M. Laurent and S. Poljak, On a positive semidefinite relaxation of the cut polytope, Linear Algebra Appl., 223/224, (1995), 439-461",
  "forms": [
    {
      "form": "elliptopes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "elliptope (plural elliptopes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2016, Anupam Prakash, Jamie Sikora, Antonios Varvitsiotis, Zhaohui Wei, “Completely positive semidefinite rank”, in arXiv",
          "text": "In particular, we use a known lower bound on the size of matrix representations of extremal quantum correlations which we apply to high-rank extreme points of the n-dimensional elliptope. Lastly, we study cpsd-graphs, i.e., graphs G with the property that every doubly nonnegative matrix whose support is given by G is cpsd.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "set",
          "set"
        ],
        [
          "real",
          "real"
        ],
        [
          "square",
          "square"
        ],
        [
          "symmetric",
          "symmetric"
        ],
        [
          "matrices",
          "matrix"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The set of all real, square symmetric matrices whose diagonal entries are all equal to one and whose eigenvalues are all non-negative."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "elliptope"
}