"eigenpair" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "pair"
      },
      "expansion": "eigen- + pair",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + pair",
  "forms": [
    {
      "form": "eigenpairs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigenpair (plural eigenpairs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "_dis1": "0 0",
      "word": "eigenbasis"
    },
    {
      "_dis1": "0 0",
      "word": "eigendecomposition"
    },
    {
      "_dis1": "0 0",
      "word": "eigen decomposition"
    },
    {
      "_dis1": "0 0",
      "word": "eigenface"
    },
    {
      "_dis1": "0 0",
      "word": "eigenfunction"
    },
    {
      "_dis1": "0 0",
      "word": "eigenmode"
    },
    {
      "_dis1": "0 0",
      "word": "eigenspace"
    },
    {
      "_dis1": "0 0",
      "word": "eigenspinor"
    },
    {
      "_dis1": "0 0",
      "word": "eigenstate"
    },
    {
      "_dis1": "0 0",
      "word": "eigensystem"
    },
    {
      "_dis1": "0 0",
      "word": "eigentheory"
    },
    {
      "_dis1": "0 0",
      "word": "eigenvalue"
    },
    {
      "_dis1": "0 0",
      "word": "eigenvector"
    }
  ],
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Linear algebra",
          "orig": "en:Linear algebra",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English terms prefixed with eigen-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "id": "en-eigenpair-en-noun-29ZV8iFi",
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "49 51",
          "kind": "other",
          "name": "English terms prefixed with eigen-",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "The mathematical pair of an eigenelement (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "id": "en-eigenpair-en-noun-TyiCNc9g",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "eigenelement",
          "eigenelement"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(mathematics, by extension) The mathematical pair of an eigenelement (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "tags": [
        "broadly"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigenpair"
}

{
  "categories": [
    "English countable nouns",
    "English entries with incorrect language header",
    "English lemmas",
    "English nouns",
    "English terms prefixed with eigen-"
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "eigen",
        "3": "pair"
      },
      "expansion": "eigen- + pair",
      "name": "prefix"
    }
  ],
  "etymology_text": "eigen- + pair",
  "forms": [
    {
      "form": "eigenpairs",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "eigenpair (plural eigenpairs)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "eigenbasis"
    },
    {
      "word": "eigendecomposition"
    },
    {
      "word": "eigen decomposition"
    },
    {
      "word": "eigenface"
    },
    {
      "word": "eigenfunction"
    },
    {
      "word": "eigenmode"
    },
    {
      "word": "eigenspace"
    },
    {
      "word": "eigenspinor"
    },
    {
      "word": "eigenstate"
    },
    {
      "word": "eigensystem"
    },
    {
      "word": "eigentheory"
    },
    {
      "word": "eigenvalue"
    },
    {
      "word": "eigenvector"
    }
  ],
  "senses": [
    {
      "categories": [
        "en:Linear algebra"
      ],
      "glosses": [
        "The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "links": [
        [
          "linear algebra",
          "linear algebra"
        ],
        [
          "eigenvector",
          "eigenvector"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(linear algebra) The mathematical pair of an eigenvector (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "topics": [
        "linear-algebra",
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "The mathematical pair of an eigenelement (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "eigenelement",
          "eigenelement"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ]
      ],
      "raw_glosses": [
        "(mathematics, by extension) The mathematical pair of an eigenelement (ẕ), and its associated eigenvalue (λ). This is written as (λ,ẕ)"
      ],
      "tags": [
        "broadly"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "eigenpair"
}