See convolution on Wiktionary
Download JSON data for convolution meaning in All languages combined (10.5kB)
{ "derived": [ { "_dis1": "0 0 0 0 0 0 0", "word": "convolutional" }, { "_dis1": "0 0 0 0 0 0 0", "word": "convolution theorem" }, { "_dis1": "0 0 0 0 0 0 0", "word": "convolution transform" }, { "_dis1": "0 0 0 0 0 0 0", "word": "Titchmarsh convolution theorem" } ], "etymology_templates": [ { "args": { "1": "en", "2": "la", "3": "convolutus", "4": "", "5": "to roll together" }, "expansion": "Latin convolutus (“to roll together”)", "name": "bor" }, { "args": { "1": "la", "2": "convolvere" }, "expansion": "convolvere", "name": "m" }, { "args": { "1": "la", "2": "con-" }, "expansion": "con-", "name": "m" }, { "args": { "1": "la", "2": "volvere", "3": "", "4": "to roll" }, "expansion": "volvere (“to roll”)", "name": "m" }, { "args": { "1": "en", "2": "-tion" }, "expansion": "-tion", "name": "m" }, { "args": { "1": "en", "2": "convolute", "3": "ion" }, "expansion": "convolute + -ion", "name": "suffix" }, { "args": { "1": "de", "2": "Faltung" }, "expansion": "Faltung", "name": "m" } ], "etymology_text": "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.", "forms": [ { "form": "convolutions", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~" }, "expansion": "convolution (countable and uncountable, plural convolutions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "_dis1": "0 0 0 0 0 0 0", "word": "convolve" }, { "_dis1": "0 0 0 0 0 0 0", "word": "convolute" }, { "_dis1": "0 0 0 0 0 0 0", "word": "convoluted" }, { "_dis1": "0 0 0 0 0 0 0", "word": "autocorrelation" }, { "_dis1": "0 0 0 0 0 0 0", "word": "cross-correlation" } ], "senses": [ { "glosses": [ "A twist or fold." ], "id": "en-convolution-en-noun-ZJPkFvvY", "links": [ [ "twist", "twist" ], [ "fold", "fold" ] ], "tags": [ "countable", "uncountable" ], "translations": [ { "_dis1": "98 2 0 0 0 0 0", "code": "bg", "lang": "Bulgarian", "roman": "izvivka", "sense": "twist or fold", "tags": [ "feminine" ], "word": "извивка" }, { "_dis1": "98 2 0 0 0 0 0", "code": "bg", "lang": "Bulgarian", "roman": "vitka", "sense": "twist or fold", "tags": [ "feminine" ], "word": "витка" }, { "_dis1": "98 2 0 0 0 0 0", "code": "fi", "lang": "Finnish", "sense": "twist or fold", "word": "poimu" }, { "_dis1": "98 2 0 0 0 0 0", "code": "fi", "lang": "Finnish", "sense": "twist or fold", "word": "laskos" } ] }, { "categories": [ { "_dis": "1 33 5 5 15 20 21", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "3 32 8 12 14 13 18", "kind": "other", "name": "English terms suffixed with -ion", "parents": [], "source": "w+disamb" } ], "glosses": [ "Any of the folds on the surface of the brain." ], "id": "en-convolution-en-noun-N9C79Q9J", "links": [ [ "fold", "fold" ], [ "surface", "surface" ], [ "brain", "brain" ] ], "tags": [ "countable", "uncountable" ], "translations": [ { "_dis1": "1 92 0 0 3 2 2", "code": "bg", "lang": "Bulgarian", "roman": "gǎnka", "sense": "any of the folds on the surface of the brain", "tags": [ "feminine" ], "word": "гънка" }, { "_dis1": "1 92 0 0 3 2 2", "code": "ca", "lang": "Catalan", "sense": "any of the folds on the surface of the brain", "tags": [ "feminine" ], "word": "circumvolució" }, { "_dis1": "1 92 0 0 3 2 2", "code": "fi", "lang": "Finnish", "sense": "any of the folds on the surface of the brain", "word": "poimu" }, { "_dis1": "1 92 0 0 3 2 2", "code": "fr", "lang": "French", "sense": "any of the folds on the surface of the brain", "tags": [ "feminine" ], "word": "circonvolution" } ] }, { "glosses": [ "The shape of something rotating; a vortex." ], "id": "en-convolution-en-noun-yoYEuKOO", "links": [ [ "rotating", "rotating" ], [ "vortex", "vortex" ] ], "tags": [ "countable", "uncountable" ], "translations": [ { "_dis1": "0 5 66 5 15 6 4", "code": "bg", "lang": "Bulgarian", "roman": "vitka", "sense": "shape of something rotating; a vortex — see also vortex", "tags": [ "feminine" ], "word": "витка" }, { "_dis1": "0 5 66 5 15 6 4", "code": "fi", "lang": "Finnish", "sense": "shape of something rotating; a vortex — see also vortex", "word": "kierre" } ] }, { "glosses": [ "The state or condition of being convoluted." ], "id": "en-convolution-en-noun-8K-SjUYX", "links": [ [ "convoluted", "convoluted" ] ], "tags": [ "countable", "uncountable" ], "translations": [ { "_dis1": "0 1 4 89 3 2 1", "code": "fi", "lang": "Finnish", "sense": "state or condition of being convoluted", "word": "kiertyminen" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Functional analysis", "orig": "en:Functional analysis", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "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." ], "id": "en-convolution-en-noun-~Wk~rI3T", "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" ], "translations": [ { "_dis1": "0 4 6 4 67 14 5", "code": "cmn", "lang": "Chinese Mandarin", "sense": "mathematics: mathematical operation on two functions", "word": "卷積" }, { "_dis1": "0 4 6 4 67 14 5", "code": "cmn", "lang": "Chinese Mandarin", "roman": "juǎnjī", "sense": "mathematics: mathematical operation on two functions", "word": "卷积" }, { "_dis1": "0 4 6 4 67 14 5", "code": "cmn", "lang": "Chinese Mandarin", "sense": "mathematics: mathematical operation on two functions", "word": "褶積" }, { "_dis1": "0 4 6 4 67 14 5", "code": "cmn", "lang": "Chinese Mandarin", "roman": "zhějī", "sense": "mathematics: mathematical operation on two functions", "word": "褶积" }, { "_dis1": "0 4 6 4 67 14 5", "code": "hu", "lang": "Hungarian", "sense": "mathematics: mathematical operation on two functions", "word": "konvolúció" }, { "_dis1": "0 4 6 4 67 14 5", "code": "is", "lang": "Icelandic", "sense": "mathematics: mathematical operation on two functions", "tags": [ "feminine" ], "word": "földun" }, { "_dis1": "0 4 6 4 67 14 5", "code": "it", "lang": "Italian", "sense": "mathematics: mathematical operation on two functions", "tags": [ "feminine" ], "word": "convoluzione" }, { "_dis1": "0 4 6 4 67 14 5", "code": "ckb", "lang": "Central Kurdish", "roman": "lûl", "sense": "mathematics: mathematical operation on two functions", "word": "لوول" }, { "_dis1": "0 4 6 4 67 14 5", "code": "ckb", "lang": "Central Kurdish", "roman": "pêç", "sense": "mathematics: mathematical operation on two functions", "word": "پێچ" }, { "_dis1": "0 4 6 4 67 14 5", "code": "pl", "lang": "Polish", "sense": "mathematics: mathematical operation on two functions", "tags": [ "masculine" ], "word": "splot" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Computing", "orig": "en:Computing", "parents": [ "Technology", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "A function which maps a tuple of sequences into a sequence of tuples." ], "id": "en-convolution-en-noun-z3C6CZ7I", "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." ], "id": "en-convolution-en-noun-EVICXe76", "tags": [ "countable", "uncountable" ], "translations": [ { "_dis1": "0 1 1 1 2 1 94", "code": "fi", "lang": "Finnish", "sense": "one 360° turn in a spring or similar helix", "word": "kierros" } ] } ], "sounds": [ { "rhymes": "-uːʃən" } ], "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": [ { "kind": "other", "name": "French entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" } ], "glosses": [ "convolution" ], "id": "en-convolution-fr-noun-nKAclEec", "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" }
{ "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English terms borrowed from Latin", "English terms derived from Latin", "English terms suffixed with -ion", "English uncountable nouns", "Requests for review of Scottish Gaelic translations", "Rhymes:English/uːʃən", "Rhymes:English/uːʃən/4 syllables" ], "derived": [ { "word": "convolutional" }, { "word": "convolution theorem" }, { "word": "convolution transform" }, { "word": "Titchmarsh convolution theorem" } ], "etymology_templates": [ { "args": { "1": "en", "2": "la", "3": "convolutus", "4": "", "5": "to roll together" }, "expansion": "Latin convolutus (“to roll together”)", "name": "bor" }, { "args": { "1": "la", "2": "convolvere" }, "expansion": "convolvere", "name": "m" }, { "args": { "1": "la", "2": "con-" }, "expansion": "con-", "name": "m" }, { "args": { "1": "la", "2": "volvere", "3": "", "4": "to roll" }, "expansion": "volvere (“to roll”)", "name": "m" }, { "args": { "1": "en", "2": "-tion" }, "expansion": "-tion", "name": "m" }, { "args": { "1": "en", "2": "convolute", "3": "ion" }, "expansion": "convolute + -ion", "name": "suffix" }, { "args": { "1": "de", "2": "Faltung" }, "expansion": "Faltung", "name": "m" } ], "etymology_text": "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.", "forms": [ { "form": "convolutions", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "~" }, "expansion": "convolution (countable and uncountable, plural convolutions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "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" }
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