"Jordan block" meaning in English

{
  "etymology_text": "Named after Camille Jordan.",
  "forms": [
    {
      "form": "Jordan blocks",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Jordan block (plural Jordan blocks)",
      "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": "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones."
      ],
      "id": "en-Jordan_block-en-noun-8NM9B-5O",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "identities",
          "identity"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "element",
          "element"
        ],
        [
          "superdiagonal",
          "superdiagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones."
      ],
      "related": [
        {
          "word": "Jordan matrix"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Camille Jordan",
        "Jordan block"
      ]
    }
  ],
  "word": "Jordan block"
}

{
  "etymology_text": "Named after Camille Jordan.",
  "forms": [
    {
      "form": "Jordan blocks",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Jordan block (plural Jordan blocks)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Jordan matrix"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with language name categories using raw markup",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms with non-redundant non-automated sortkeys",
        "en:Mathematics"
      ],
      "glosses": [
        "A Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "identities",
          "identity"
        ],
        [
          "diagonal",
          "diagonal"
        ],
        [
          "element",
          "element"
        ],
        [
          "superdiagonal",
          "superdiagonal"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Jordan block over a ring R (whose identities are the zero 0 and one 1) is a matrix composed of 0 elements everywhere except for the diagonal, which is filled with a fixed element λ ∈ R, and the superdiagonal, which is composed of ones."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Camille Jordan",
        "Jordan block"
      ]
    }
  ],
  "word": "Jordan block"
}