"Weinstein-Aronszajn identity" meaning in All languages combined

{
  "forms": [
    {
      "form": "the Weinstein-Aronszajn identity",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Weinstein-Aronszajn identity",
      "name": "en-prop"
    }
  ],
  "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": "other",
          "name": "English entries with language name categories using raw markup",
          "parents": [
            "Entries with language name categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms with non-redundant non-automated sortkeys",
          "parents": [
            "Terms with non-redundant non-automated sortkeys",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An identity stating that if A and B are matrices of size m × n and n × m respectively (either or both of which may be infinite) then, provided AB (and hence, also BA) is of trace class, det (I_m+AB)= det (I_n+BA), where I_k is the k × k identity matrix."
      ],
      "id": "en-Weinstein-Aronszajn_identity-en-name-6tEWyJ3~",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "matrices",
          "matrix"
        ],
        [
          "trace class",
          "trace class"
        ],
        [
          "identity matrix",
          "identity matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An identity stating that if A and B are matrices of size m × n and n × m respectively (either or both of which may be infinite) then, provided AB (and hence, also BA) is of trace class, det (I_m+AB)= det (I_n+BA), where I_k is the k × k identity matrix."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Weinstein-Aronszajn identity"
}

{
  "forms": [
    {
      "form": "the Weinstein-Aronszajn identity",
      "tags": [
        "canonical"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "def": "1"
      },
      "expansion": "the Weinstein-Aronszajn identity",
      "name": "en-prop"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with non-redundant non-automated sortkeys",
        "English uncountable nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "An identity stating that if A and B are matrices of size m × n and n × m respectively (either or both of which may be infinite) then, provided AB (and hence, also BA) is of trace class, det (I_m+AB)= det (I_n+BA), where I_k is the k × k identity matrix."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "matrices",
          "matrix"
        ],
        [
          "trace class",
          "trace class"
        ],
        [
          "identity matrix",
          "identity matrix"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An identity stating that if A and B are matrices of size m × n and n × m respectively (either or both of which may be infinite) then, provided AB (and hence, also BA) is of trace class, det (I_m+AB)= det (I_n+BA), where I_k is the k × k identity matrix."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "Weinstein-Aronszajn identity"
}