"prime implicant" meaning in All languages combined

See prime implicant on Wiktionary

Noun [English]

Forms: prime implicants [plural]
Etymology: An implicant (Boolean product term) which is called "prime" because none of its proper factors is itself an implicant. Head templates: {{en-noun}} prime implicant (plural prime implicants)
  1. (electrical engineering) A group of related 1's (implicant) on a Karnaugh map which is not subsumed by any other implicant in the same map. Equivalently (in terms of Boolean algebra), a product term which is a "minimal" implicant in the sense that removing any of its literals will yield a product term which is not an implicant (but beware: on a Karnaugh map it would appear "maximal"). Categories (topical): Electrical engineering
    Sense id: en-prime_implicant-en-noun-aOi9k-tB Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 54 46 Disambiguation of Pages with entries: 49 51 Topics: business, electrical, electrical-engineering, electricity, electromagnetism, energy, engineering, natural-sciences, physical-sciences, physics
  2. (electrical engineering) A group of related 0's (implicant) on a Karnaugh map which is not subsumed by any other implicant (of 0's) in the same map. Categories (topical): Electrical engineering
    Sense id: en-prime_implicant-en-noun-ki0aTJwe Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 50 50 Disambiguation of Pages with 1 entry: 54 46 Disambiguation of Pages with entries: 49 51 Topics: business, electrical, electrical-engineering, electricity, electromagnetism, energy, engineering, natural-sciences, physical-sciences, physics
The following are not (yet) sense-disambiguated
Derived forms: essential prime implicant, non-essential prime implicant

Inflected forms

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      "_dis1": "48 52",
      "word": "essential prime implicant"
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      "_dis1": "48 52",
      "word": "non-essential prime implicant"
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  "etymology_text": "An implicant (Boolean product term) which is called \"prime\" because none of its proper factors is itself an implicant.",
  "forms": [
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      "form": "prime implicants",
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          "name": "Electrical engineering",
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        "A group of related 1's (implicant) on a Karnaugh map which is not subsumed by any other implicant in the same map. Equivalently (in terms of Boolean algebra), a product term which is a \"minimal\" implicant in the sense that removing any of its literals will yield a product term which is not an implicant (but beware: on a Karnaugh map it would appear \"maximal\")."
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        "(electrical engineering) A group of related 1's (implicant) on a Karnaugh map which is not subsumed by any other implicant in the same map. Equivalently (in terms of Boolean algebra), a product term which is a \"minimal\" implicant in the sense that removing any of its literals will yield a product term which is not an implicant (but beware: on a Karnaugh map it would appear \"maximal\")."
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        "A group of related 0's (implicant) on a Karnaugh map which is not subsumed by any other implicant (of 0's) in the same map."
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      "raw_glosses": [
        "(electrical engineering) A group of related 0's (implicant) on a Karnaugh map which is not subsumed by any other implicant (of 0's) in the same map."
      ],
      "topics": [
        "business",
        "electrical",
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        "physical-sciences",
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  "word": "prime implicant"
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  "derived": [
    {
      "word": "essential prime implicant"
    },
    {
      "word": "non-essential prime implicant"
    }
  ],
  "etymology_text": "An implicant (Boolean product term) which is called \"prime\" because none of its proper factors is itself an implicant.",
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        "A group of related 1's (implicant) on a Karnaugh map which is not subsumed by any other implicant in the same map. Equivalently (in terms of Boolean algebra), a product term which is a \"minimal\" implicant in the sense that removing any of its literals will yield a product term which is not an implicant (but beware: on a Karnaugh map it would appear \"maximal\")."
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        "(electrical engineering) A group of related 0's (implicant) on a Karnaugh map which is not subsumed by any other implicant (of 0's) in the same map."
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}

Download raw JSONL data for prime implicant meaning in All languages combined (2.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-02-26 from the enwiktionary dump dated 2025-02-21 using wiktextract (ce0be54 and f2e72e5). 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.