"Hasse diagram" meaning in English

See Hasse diagram in All languages combined, or Wiktionary

Noun

Forms: Hasse diagrams [plural]
Etymology: Named after Helmut Hasse (1898–1979), though he was not the first to use them. Head templates: {{en-noun}} Hasse diagram (plural Hasse diagrams)
  1. (set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x<y and y<z then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that x<z<y) then an arrow is draw from x to y. Wikipedia link: Hasse diagram Categories (topical): Set theory
    Sense id: en-Hasse_diagram-en-noun-7IEd--Q9 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences, set-theory

Inflected forms

{
  "etymology_text": "Named after Helmut Hasse (1898–1979), though he was not the first to use them.",
  "forms": [
    {
      "form": "Hasse diagrams",
      "tags": [
        "plural"
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  "head_templates": [
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      "args": {},
      "expansion": "Hasse diagram (plural Hasse diagrams)",
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  "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Set theory",
          "orig": "en:Set theory",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x<y and y<z then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that x<z<y) then an arrow is draw from x to y."
      ],
      "id": "en-Hasse_diagram-en-noun-7IEd--Q9",
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "poset",
          "poset"
        ],
        [
          "Transitivity",
          "transitivity"
        ],
        [
          "tacit",
          "tacit"
        ],
        [
          "distinct",
          "distinct"
        ]
      ],
      "raw_glosses": [
        "(set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x<y and y<z then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that x<z<y) then an arrow is draw from x to y."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "wikipedia": [
        "Hasse diagram"
      ]
    }
  ],
  "word": "Hasse diagram"
}
{
  "etymology_text": "Named after Helmut Hasse (1898–1979), though he was not the first to use them.",
  "forms": [
    {
      "form": "Hasse diagrams",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Hasse diagram (plural Hasse diagrams)",
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
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        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Set theory"
      ],
      "glosses": [
        "A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x<y and y<z then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that x<z<y) then an arrow is draw from x to y."
      ],
      "links": [
        [
          "set theory",
          "set theory"
        ],
        [
          "finite",
          "finite"
        ],
        [
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        [
          "Transitivity",
          "transitivity"
        ],
        [
          "tacit",
          "tacit"
        ],
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          "distinct",
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      ],
      "raw_glosses": [
        "(set theory) A diagram which represents a finite poset, in which nodes are elements of the poset and arrows represent the order relation between elements. Transitivity of the order relation is tacit, in other words, if x<y and y<z then no arrow is drawn from x to z, but if there is no distinct z between x and y (such that x<z<y) then an arrow is draw from x to y."
      ],
      "topics": [
        "mathematics",
        "sciences",
        "set-theory"
      ],
      "wikipedia": [
        "Hasse diagram"
      ]
    }
  ],
  "word": "Hasse diagram"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.

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