"self-adjoint" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "self",
        "3": "adjoint"
      },
      "expansion": "self- + adjoint",
      "name": "prefix"
    }
  ],
  "etymology_text": "self- + adjoint",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "self-adjoint (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "68 32",
          "kind": "other",
          "name": "English terms prefixed with self-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Adjoint to itself."
      ],
      "id": "en-self-adjoint-en-adj-isIEQKN2",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Adjoint",
          "adjoint"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Adjoint to itself."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Functional analysis",
          "orig": "en:Functional analysis",
          "parents": [
            "Mathematical analysis",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "20 80",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space."
      ],
      "id": "en-self-adjoint-en-adj-9sqMMWyL",
      "links": [
        [
          "functional analysis",
          "functional analysis"
        ],
        [
          "Hilbert space",
          "Hilbert space"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "Hermitian",
          "Hermitian"
        ],
        [
          "eigenvector",
          "eigenvector"
        ]
      ],
      "qualifier": "functional analysis",
      "raw_glosses": [
        "(functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space."
      ],
      "tags": [
        "not-comparable"
      ],
      "translations": [
        {
          "_dis1": "13 87",
          "code": "fr",
          "lang": "French",
          "sense": "Translations",
          "word": "autoadjoint"
        },
        {
          "_dis1": "13 87",
          "code": "de",
          "lang": "German",
          "sense": "Translations",
          "word": "selbstadjungiert"
        }
      ]
    }
  ],
  "wikipedia": [
    "self-adjoint"
  ],
  "word": "self-adjoint"
}

{
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English multiword terms",
    "English terms prefixed with self-",
    "English uncomparable adjectives",
    "Translation table header lacks gloss"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "self",
        "3": "adjoint"
      },
      "expansion": "self- + adjoint",
      "name": "prefix"
    }
  ],
  "etymology_text": "self- + adjoint",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "self-adjoint (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Adjoint to itself."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Adjoint",
          "adjoint"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Adjoint to itself."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Functional analysis"
      ],
      "glosses": [
        "Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space."
      ],
      "links": [
        [
          "functional analysis",
          "functional analysis"
        ],
        [
          "Hilbert space",
          "Hilbert space"
        ],
        [
          "operator",
          "operator"
        ],
        [
          "Hermitian",
          "Hermitian"
        ],
        [
          "eigenvector",
          "eigenvector"
        ]
      ],
      "qualifier": "functional analysis",
      "raw_glosses": [
        "(functional analysis) Being a Hilbert space operator which is Hermitian and also whose eigenvectors span the entire Hilbert space."
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "Translations",
      "word": "autoadjoint"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "Translations",
      "word": "selbstadjungiert"
    }
  ],
  "wikipedia": [
    "self-adjoint"
  ],
  "word": "self-adjoint"
}