"-adic" meaning in All languages combined

See -adic on Wiktionary

Suffix [English]

Etymology: Back-formation from monadic, etc., from Ancient Greek -άς (-ás) (genitive -άδος (-ádos)) + -ικός (-ikós) (English -ad + -ic). Compare related adicity and Latinate -ary. The algebraic sense is by analogy with p-adic, since ℤ₍ₚ₎ equipped with the (p)-adic topology passes to the ring of p-adic numbers under the operation of completion. Etymology templates: {{back-formation|en|monadic}} Back-formation from monadic, {{der|en|grc|-άς}} Ancient Greek -άς (-ás), {{m|grc|-άδος}} -άδος (-ádos), {{m|grc|-ικός}} -ικός (-ikós), {{m|en|-ad}} -ad, {{m|en|-ic}} -ic, {{m|en|adicity}} adicity, {{m|en|-ary}} -ary, {{back-formation|en|p-adic|notext=1}} p-adic Head templates: {{head|en|suffix|cat2=adjective-forming suffixes}} -adic
  1. (mathematics, computing) Having a specified adicity. Tags: morpheme Categories (topical): Computing, Mathematics Synonyms (adicity): -ary Translations (having a number of arguments): -adinen (Finnish), -adique (French), -adisch (German), -adikus (Hungarian), -adico (Italian), -adic (Romanian)
    Sense id: en--adic-en-suffix-vMru4jbh Categories (other): English back-formations, English entries with incorrect language header, English links with redundant target parameters Disambiguation of English back-formations: 58 42 Disambiguation of English entries with incorrect language header: 59 41 Disambiguation of English links with redundant target parameters: 64 36 Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences Disambiguation of 'adicity': 86 14 Related terms: decadic, duadic, dyadic, enneadic, heptadic, hexadic, monadic, n-adic, niladic, nonadic, octadic, p-adic, pentadic, polyadic, tetradic, triadic, variadic Disambiguation of 'having a number of arguments': 87 13
  2. (algebra, of a topology on a module M over a ring R, combined with a symbol (here I but also often p, m, or a) representing an ideal of R) Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology. Tags: morpheme Categories (topical): Algebra
    Sense id: en--adic-en-suffix-lq3NsK5n Topics: algebra, mathematics, sciences

Download JSON data for -adic meaning in All languages combined (5.3kB)

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      "expansion": "Back-formation from monadic",
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        "2": "p-adic",
        "notext": "1"
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  "etymology_text": "Back-formation from monadic, etc., from Ancient Greek -άς (-ás) (genitive -άδος (-ádos)) + -ικός (-ikós) (English -ad + -ic). Compare related adicity and Latinate -ary.\nThe algebraic sense is by analogy with p-adic, since ℤ₍ₚ₎ equipped with the (p)-adic topology passes to the ring of p-adic numbers under the operation of completion.",
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        "Having a specified adicity."
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        "(mathematics, computing) Having a specified adicity."
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          "_dis1": "63 37",
          "word": "decadic"
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        {
          "_dis1": "63 37",
          "word": "duadic"
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        {
          "_dis1": "63 37",
          "word": "dyadic"
        },
        {
          "_dis1": "63 37",
          "word": "enneadic"
        },
        {
          "_dis1": "63 37",
          "word": "heptadic"
        },
        {
          "_dis1": "63 37",
          "word": "hexadic"
        },
        {
          "_dis1": "63 37",
          "word": "monadic"
        },
        {
          "_dis1": "63 37",
          "word": "n-adic"
        },
        {
          "_dis1": "63 37",
          "word": "niladic"
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        {
          "_dis1": "63 37",
          "word": "nonadic"
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          "_dis1": "63 37",
          "word": "octadic"
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        {
          "_dis1": "63 37",
          "word": "p-adic"
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        {
          "_dis1": "63 37",
          "word": "pentadic"
        },
        {
          "_dis1": "63 37",
          "word": "polyadic"
        },
        {
          "_dis1": "63 37",
          "word": "tetradic"
        },
        {
          "_dis1": "63 37",
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          "_dis1": "63 37",
          "word": "variadic"
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          "_dis1": "86 14",
          "sense": "adicity",
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      "translations": [
        {
          "_dis1": "87 13",
          "code": "fi",
          "lang": "Finnish",
          "sense": "having a number of arguments",
          "word": "-adinen"
        },
        {
          "_dis1": "87 13",
          "code": "fr",
          "lang": "French",
          "sense": "having a number of arguments",
          "word": "-adique"
        },
        {
          "_dis1": "87 13",
          "code": "de",
          "lang": "German",
          "sense": "having a number of arguments",
          "word": "-adisch"
        },
        {
          "_dis1": "87 13",
          "code": "hu",
          "lang": "Hungarian",
          "sense": "having a number of arguments",
          "word": "-adikus"
        },
        {
          "_dis1": "87 13",
          "code": "it",
          "lang": "Italian",
          "sense": "having a number of arguments",
          "word": "-adico"
        },
        {
          "_dis1": "87 13",
          "code": "pl",
          "lang": "Polish",
          "note": "not used in Polish",
          "sense": "having a number of arguments"
        },
        {
          "_dis1": "87 13",
          "code": "ro",
          "lang": "Romanian",
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          "word": "-adic"
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            "Sciences",
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            "Fundamental"
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        "(algebra, of a topology on a module M over a ring R, combined with a symbol (here I but also often p, m, or a) representing an ideal of R) Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology.",
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      ],
      "id": "en--adic-en-suffix-lq3NsK5n",
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        "(algebra, of a topology on a module M over a ring R, combined with a symbol (here I but also often p, m, or a) representing an ideal of R) Such that the sets x+Iⁿᴹ (where x∈M, n a non-negative integer) form a basis for the topology."
      ],
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        "of a topology on a module M over a ring R"
      ],
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        "mathematics",
        "sciences"
      ]
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  "word": "-adic"
}
{
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    "English back-formations",
    "English entries with incorrect language header",
    "English lemmas",
    "English links with redundant target parameters",
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    "English terms derived from Ancient Greek"
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        "2": "p-adic",
        "notext": "1"
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  "etymology_text": "Back-formation from monadic, etc., from Ancient Greek -άς (-ás) (genitive -άδος (-ádos)) + -ικός (-ikós) (English -ad + -ic). Compare related adicity and Latinate -ary.\nThe algebraic sense is by analogy with p-adic, since ℤ₍ₚ₎ equipped with the (p)-adic topology passes to the ring of p-adic numbers under the operation of completion.",
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        "(mathematics, computing) Having a specified adicity."
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      ],
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      "word": "-ary"
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  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "having a number of arguments",
      "word": "-adinen"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "having a number of arguments",
      "word": "-adique"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "having a number of arguments",
      "word": "-adisch"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "having a number of arguments",
      "word": "-adikus"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "having a number of arguments",
      "word": "-adico"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "note": "not used in Polish",
      "sense": "having a number of arguments"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "having a number of arguments",
      "word": "-adic"
    }
  ],
  "wikipedia": [
    "p-adic numbers"
  ],
  "word": "-adic"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-26 from the enwiktionary dump dated 2024-04-21 using wiktextract (93a6c53 and 21a9316). 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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