"diagram chase" meaning in English

See diagram chase in All languages combined, or Wiktionary

Noun

Forms: diagram chases [plural]
Head templates: {{en-noun}} diagram chase (plural diagram chases)
  1. (mathematics, somewhat informal) A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms. Tags: informal Categories (topical): Mathematics Related terms: diagram chasing
    Sense id: en-diagram_chase-en-noun-bx3N5L3P Categories (other): English entries with incorrect language header Topics: mathematics, sciences

Inflected forms

Download JSON data for diagram chase meaning in English (1.2kB)

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  "forms": [
    {
      "form": "diagram chases",
      "tags": [
        "plural"
      ]
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  "head_templates": [
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      "args": {},
      "expansion": "diagram chase (plural diagram chases)",
      "name": "en-noun"
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  "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": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "To prove the five lemma, just use a diagram chase."
        }
      ],
      "glosses": [
        "A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "id": "en-diagram_chase-en-noun-bx3N5L3P",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proof",
          "proof"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics, somewhat informal) A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "related": [
        {
          "word": "diagram chasing"
        }
      ],
      "tags": [
        "informal"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "diagram chase"
}
{
  "forms": [
    {
      "form": "diagram chases",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "diagram chase (plural diagram chases)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "diagram chasing"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English informal terms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "To prove the five lemma, just use a diagram chase."
        }
      ],
      "glosses": [
        "A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "proof",
          "proof"
        ],
        [
          "morphism",
          "morphism"
        ]
      ],
      "raw_glosses": [
        "(mathematics, somewhat informal) A proof in stages, each of which, in general, depends on the previous stages and can be visualized by means of a diagram of morphisms."
      ],
      "tags": [
        "informal"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "diagram chase"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.