"subsemiring" meaning in All languages combined

See subsemiring on Wiktionary

Noun [English]

Forms: subsemirings [plural]
Etymology: sub- + semiring Etymology templates: {{prefix|en|sub|semiring}} sub- + semiring Head templates: {{en-noun}} subsemiring (plural subsemirings)
  1. (mathematics) Tags: empty-gloss, no-gloss Categories (topical): Mathematics
    Sense id: en-subsemiring-en-noun-47DEQpj8 Categories (other): English entries with incorrect language header, English terms prefixed with sub- Topics: mathematics, sciences

Inflected forms

Download JSON data for subsemiring meaning in All languages combined (1.6kB)

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  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "sub",
        "3": "semiring"
      },
      "expansion": "sub- + semiring",
      "name": "prefix"
    }
  ],
  "etymology_text": "sub- + semiring",
  "forms": [
    {
      "form": "subsemirings",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "subsemiring (plural subsemirings)",
      "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"
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          "source": "w"
        },
        {
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          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "2016, Moses Ganardi, Danny Hucke, Daniel König, Markus Lohrey, “Circuit Evaluation for Finite Semirings”, in arXiv",
          "text": "The following dichotomy is shown: If a finite semiring is such that (i) the multiplicative semigroup is solvable and (ii) it does not contain a subsemiring with an additive identity 0 and a multiplicative identity 1#x5C;neq 0, then the circuit evaluation problem for the semiring is in #x5C;mathsf#x7B;DET#x7D;#x5C;subseteq#x5C;mathsf#x7B;NC#x7D;².",
          "type": "quotation"
        }
      ],
      "id": "en-subsemiring-en-noun-47DEQpj8",
      "links": [
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      "raw_glosses": [
        "(mathematics)"
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        "no-gloss"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "subsemiring"
}
{
  "etymology_templates": [
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      "args": {
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  "etymology_text": "sub- + semiring",
  "forms": [
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      "tags": [
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    }
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      "expansion": "subsemiring (plural subsemirings)",
      "name": "en-noun"
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  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "ref": "2016, Moses Ganardi, Danny Hucke, Daniel König, Markus Lohrey, “Circuit Evaluation for Finite Semirings”, in arXiv",
          "text": "The following dichotomy is shown: If a finite semiring is such that (i) the multiplicative semigroup is solvable and (ii) it does not contain a subsemiring with an additive identity 0 and a multiplicative identity 1#x5C;neq 0, then the circuit evaluation problem for the semiring is in #x5C;mathsf#x7B;DET#x7D;#x5C;subseteq#x5C;mathsf#x7B;NC#x7D;².",
          "type": "quotation"
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  "word": "subsemiring"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-25 from the enwiktionary dump dated 2024-05-02 using wiktextract (bb24e0f and c7ea76d). 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.