"convolution" meaning in All languages combined

See convolution on Wiktionary

Noun [English]

Forms: convolutions [plural]
Rhymes: -uːʃən Etymology: Borrowed from Latin convolutus (“to roll together”), past participle of convolvere, from con- + volvere (“to roll”), with the suffix -tion. Equivalent to convolute + -ion. The mathematical sense is a semantic calque from Faltung. Etymology templates: {{bor|en|la|convolutus||to roll together}} Latin convolutus (“to roll together”), {{m|la|convolvere}} convolvere, {{m|la|con-}} con-, {{m|la|volvere||to roll}} volvere (“to roll”), {{m|en|-tion}} -tion, {{suffix|en|convolute|ion}} convolute + -ion, {{m|de|Faltung}} Faltung Head templates: {{en-noun|~}} convolution (countable and uncountable, plural convolutions)
  1. A twist or fold. Tags: countable, uncountable Translations (twist or fold): извивка (izvivka) [feminine] (Bulgarian), витка (vitka) [feminine] (Bulgarian), poimu (Finnish), laskos (Finnish)
    Sense id: en-convolution-en-noun-ZJPkFvvY Disambiguation of 'twist or fold': 98 2 0 0 0 0 0
  2. Any of the folds on the surface of the brain. Tags: countable, uncountable Translations (any of the folds on the surface of the brain): гънка (gǎnka) [feminine] (Bulgarian), circumvolució [feminine] (Catalan), poimu (Finnish), circonvolution [feminine] (French)
    Sense id: en-convolution-en-noun-N9C79Q9J Categories (other): English entries with incorrect language header, English terms suffixed with -ion Disambiguation of English entries with incorrect language header: 1 33 5 5 15 20 21 Disambiguation of English terms suffixed with -ion: 3 32 8 12 14 13 18 Disambiguation of 'any of the folds on the surface of the brain': 1 92 0 0 3 2 2
  3. The shape of something rotating; a vortex. Tags: countable, uncountable Translations (shape of something rotating; a vortex — see also vortex): витка (vitka) [feminine] (Bulgarian), kierre (Finnish)
    Sense id: en-convolution-en-noun-yoYEuKOO Disambiguation of 'shape of something rotating; a vortex — see also vortex': 0 5 66 5 15 6 4
  4. The state or condition of being convoluted. Tags: countable, uncountable Translations (state or condition of being convoluted): kiertyminen (Finnish)
    Sense id: en-convolution-en-noun-8K-SjUYX Disambiguation of 'state or condition of being convoluted': 0 1 4 89 3 2 1
  5. (mathematics, functional analysis) A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis. Tags: countable, uncountable Categories (topical): Functional analysis, Mathematics Translations (mathematics: mathematical operation on two functions): لوول (lûl) (Central Kurdish), پێچ (pêç) (Central Kurdish), 卷積 (Chinese Mandarin), 卷积 (juǎnjī) (Chinese Mandarin), 褶積 (Chinese Mandarin), 褶积 (zhějī) (Chinese Mandarin), konvolúció (Hungarian), földun [feminine] (Icelandic), convoluzione [feminine] (Italian), splot [masculine] (Polish)
    Sense id: en-convolution-en-noun-~Wk~rI3T Topics: mathematics, sciences Disambiguation of 'mathematics: mathematical operation on two functions': 0 4 6 4 67 14 5
  6. (computing) A function which maps a tuple of sequences into a sequence of tuples. Tags: countable, uncountable Categories (topical): Computing
    Sense id: en-convolution-en-noun-z3C6CZ7I Topics: computing, engineering, mathematics, natural-sciences, physical-sciences, sciences
  7. One 360° turn in a spring or similar helix. Tags: countable, uncountable Translations (one 360° turn in a spring or similar helix): kierros (Finnish)
    Sense id: en-convolution-en-noun-EVICXe76 Disambiguation of 'one 360° turn in a spring or similar helix': 0 1 1 1 2 1 94
The following are not (yet) sense-disambiguated
Derived forms: convolutional, convolution theorem, convolution transform, Titchmarsh convolution theorem Related terms: convolve, convolute, convoluted, autocorrelation, cross-correlation

Noun [French]

Audio: LL-Q150 (fra)-WikiLucas00-convolution.wav Forms: convolutions [plural]
Etymology: Formed from Latin convolutus, with the suffix -tion. Etymology templates: {{der|fr|la|convolutus}} Latin convolutus, {{m|fr|-tion}} -tion Head templates: {{fr-noun|f}} convolution f (plural convolutions)
  1. convolution Tags: feminine
    Sense id: en-convolution-fr-noun-nKAclEec Categories (other): French entries with incorrect language header

Inflected forms

Download JSON data for convolution meaning in All languages combined (10.5kB)

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        {
          "ref": "1997, Richard Tolimieri, Myoung An, Chao Lu, Algorithms for Discrete Fourier Transform and Convolution, 2nd edition, Springer, page 101",
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    {
      "word": "convolve"
    },
    {
      "word": "convolute"
    },
    {
      "word": "convoluted"
    },
    {
      "word": "autocorrelation"
    },
    {
      "word": "cross-correlation"
    }
  ],
  "senses": [
    {
      "glosses": [
        "A twist or fold."
      ],
      "links": [
        [
          "twist",
          "twist"
        ],
        [
          "fold",
          "fold"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    },
    {
      "glosses": [
        "Any of the folds on the surface of the brain."
      ],
      "links": [
        [
          "fold",
          "fold"
        ],
        [
          "surface",
          "surface"
        ],
        [
          "brain",
          "brain"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    },
    {
      "glosses": [
        "The shape of something rotating; a vortex."
      ],
      "links": [
        [
          "rotating",
          "rotating"
        ],
        [
          "vortex",
          "vortex"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    },
    {
      "glosses": [
        "The state or condition of being convoluted."
      ],
      "links": [
        [
          "convoluted",
          "convoluted"
        ]
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    },
    {
      "categories": [
        "English terms with quotations",
        "en:Functional analysis",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "The proper method in dealing with distribution functions and their convolutions (“Faltungen”) is the method of Fourier transforms, first applied systematically by Levy in his book on the calculus of probability.\nAurel Wintner, 1934"
        },
        {
          "ref": "1997, Richard Tolimieri, Myoung An, Chao Lu, Algorithms for Discrete Fourier Transform and Convolution, 2nd edition, Springer, page 101",
          "text": "Linear convolution is one of the most frequent computations carried out in digital signal processing (DSP).",
          "type": "quotation"
        },
        {
          "ref": "1994, Semen B. Yakubovich, Yurii F. Luchko, The Hypergeometric Approach to Integral Transforms and Convolutions, Springer, page 183",
          "text": "In Chapter 11 we considered H-convolutions of generalized H-transforms. These convolutions are bilinear, commutative and associative operations[…].",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "functional analysis",
          "functional analysis"
        ],
        [
          "integral",
          "integral"
        ]
      ],
      "qualifier": "functional analysis",
      "raw_glosses": [
        "(mathematics, functional analysis) A mathematical operation on two functions that produces a third that expresses how the shape of one is modified by the other; the integral of the product of the two functions after one is reflected about the y-axis and shifted along the x-axis."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Computing"
      ],
      "glosses": [
        "A function which maps a tuple of sequences into a sequence of tuples."
      ],
      "links": [
        [
          "computing",
          "computing#Noun"
        ],
        [
          "tuple",
          "tuple"
        ],
        [
          "sequences",
          "sequences"
        ]
      ],
      "raw_glosses": [
        "(computing) A function which maps a tuple of sequences into a sequence of tuples."
      ],
      "tags": [
        "countable",
        "uncountable"
      ],
      "topics": [
        "computing",
        "engineering",
        "mathematics",
        "natural-sciences",
        "physical-sciences",
        "sciences"
      ]
    },
    {
      "glosses": [
        "One 360° turn in a spring or similar helix."
      ],
      "tags": [
        "countable",
        "uncountable"
      ]
    }
  ],
  "sounds": [
    {
      "rhymes": "-uːʃən"
    }
  ],
  "translations": [
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "izvivka",
      "sense": "twist or fold",
      "tags": [
        "feminine"
      ],
      "word": "извивка"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "vitka",
      "sense": "twist or fold",
      "tags": [
        "feminine"
      ],
      "word": "витка"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "twist or fold",
      "word": "poimu"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "twist or fold",
      "word": "laskos"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "gǎnka",
      "sense": "any of the folds on the surface of the brain",
      "tags": [
        "feminine"
      ],
      "word": "гънка"
    },
    {
      "code": "ca",
      "lang": "Catalan",
      "sense": "any of the folds on the surface of the brain",
      "tags": [
        "feminine"
      ],
      "word": "circumvolució"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "any of the folds on the surface of the brain",
      "word": "poimu"
    },
    {
      "code": "fr",
      "lang": "French",
      "sense": "any of the folds on the surface of the brain",
      "tags": [
        "feminine"
      ],
      "word": "circonvolution"
    },
    {
      "code": "bg",
      "lang": "Bulgarian",
      "roman": "vitka",
      "sense": "shape of something rotating; a vortex — see also vortex",
      "tags": [
        "feminine"
      ],
      "word": "витка"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "shape of something rotating; a vortex — see also vortex",
      "word": "kierre"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "state or condition of being convoluted",
      "word": "kiertyminen"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "卷積"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "juǎnjī",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "卷积"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "褶積"
    },
    {
      "code": "cmn",
      "lang": "Chinese Mandarin",
      "roman": "zhějī",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "褶积"
    },
    {
      "code": "hu",
      "lang": "Hungarian",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "konvolúció"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "mathematics: mathematical operation on two functions",
      "tags": [
        "feminine"
      ],
      "word": "földun"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "mathematics: mathematical operation on two functions",
      "tags": [
        "feminine"
      ],
      "word": "convoluzione"
    },
    {
      "code": "ckb",
      "lang": "Central Kurdish",
      "roman": "lûl",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "لوول"
    },
    {
      "code": "ckb",
      "lang": "Central Kurdish",
      "roman": "pêç",
      "sense": "mathematics: mathematical operation on two functions",
      "word": "پێچ"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "mathematics: mathematical operation on two functions",
      "tags": [
        "masculine"
      ],
      "word": "splot"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "one 360° turn in a spring or similar helix",
      "word": "kierros"
    }
  ],
  "wikipedia": [
    "convolution"
  ],
  "word": "convolution"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "fr",
        "2": "la",
        "3": "convolutus"
      },
      "expansion": "Latin convolutus",
      "name": "der"
    },
    {
      "args": {
        "1": "fr",
        "2": "-tion"
      },
      "expansion": "-tion",
      "name": "m"
    }
  ],
  "etymology_text": "Formed from Latin convolutus, with the suffix -tion.",
  "forms": [
    {
      "form": "convolutions",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "f"
      },
      "expansion": "convolution f (plural convolutions)",
      "name": "fr-noun"
    }
  ],
  "lang": "French",
  "lang_code": "fr",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "French countable nouns",
        "French entries with incorrect language header",
        "French feminine nouns",
        "French lemmas",
        "French nouns",
        "French terms derived from Latin",
        "French terms with audio links"
      ],
      "glosses": [
        "convolution"
      ],
      "links": [
        [
          "convolution",
          "#Noun"
        ]
      ],
      "tags": [
        "feminine"
      ]
    }
  ],
  "sounds": [
    {
      "audio": "LL-Q150 (fra)-WikiLucas00-convolution.wav",
      "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ed/LL-Q150_%28fra%29-WikiLucas00-convolution.wav/LL-Q150_%28fra%29-WikiLucas00-convolution.wav.mp3",
      "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/e/ed/LL-Q150_%28fra%29-WikiLucas00-convolution.wav/LL-Q150_%28fra%29-WikiLucas00-convolution.wav.ogg",
      "text": "Audio"
    }
  ],
  "word": "convolution"
}

This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-05-03 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.