See integral on Wiktionary
Download JSON data for integral meaning in All languages combined (67.4kB)
{ "derived": [ { "_dis1": "0 0 0 0 0", "word": "integral brick" }, { "_dis1": "0 0 0 0 0", "word": "integral closure" }, { "_dis1": "0 0 0 0 0", "word": "integral cosmology" }, { "_dis1": "0 0 0 0 0", "word": "integral cuboid" }, { "_dis1": "0 0 0 0 0", "word": "integral current" }, { "_dis1": "0 0 0 0 0", "word": "integral curvature" }, { "_dis1": "0 0 0 0 0", "word": "integral curve" }, { "_dis1": "0 0 0 0 0", "word": "integral domain" }, { "_dis1": "0 0 0 0 0", "word": "integral drawing" }, { "_dis1": "0 0 0 0 0", "word": "integral ecology" }, { "_dis1": "0 0 0 0 0", "word": "integral element" }, { "_dis1": "0 0 0 0 0", "word": "integral energy" }, { "_dis1": "0 0 0 0 0", "word": "integral extension" }, { "_dis1": "0 0 0 0 0", "word": "integral fast reactor" }, { "_dis1": "0 0 0 0 0", "word": "integral field unit" }, { "_dis1": "0 0 0 0 0", "word": "integral function" }, { "_dis1": "0 0 0 0 0", "word": "integral geometry" }, { "_dis1": "0 0 0 0 0", "word": "integral graph" }, { "_dis1": "0 0 0 0 0", "word": "integral homology group" }, { "_dis1": "0 0 0 0 0", "word": "integral kernel" }, { "_dis1": "0 0 0 0 0", "word": "integral membrane protein" }, { "_dis1": "0 0 0 0 0", "word": "integral politics" }, { "_dis1": "0 0 0 0 0", "word": "integral polygedron" }, { "_dis1": "0 0 0 0 0", "word": "integral polynomial" }, { "_dis1": "0 0 0 0 0", "word": "integral post-metaphysics" }, { "_dis1": "0 0 0 0 0", "word": "integral psychology" }, { "_dis1": "0 0 0 0 0", "word": "integral transformative practice" }, { "_dis1": "0 0 0 0 0", "word": "integral yoga" }, { "_dis1": "0 0 0 0 0", "word": "integrity" }, { "_dis1": "0 0 0 0 0", "word": "semi-integral" } ], "etymology_templates": [ { "args": { "1": "en", "2": "frm", "3": "integral" }, "expansion": "Middle French integral", "name": "bor" }, { "args": { "1": "en", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "der" }, { "args": { "1": "en", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.", "forms": [ { "form": "more integral", "tags": [ "comparative" ] }, { "form": "most integral", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "integral (comparative more integral, superlative most integral)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "related": [ { "_dis1": "0 0 0 0 0 0 0 0 0 0", "word": "integer" }, { "_dis1": "0 0 0 0 0", "word": "integrity" }, { "_dis1": "0 0 0 0 0", "tags": [ "rare" ], "word": "integrous" } ], "senses": [ { "categories": [ { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "Constituting a whole together with other parts or factors; not omittable or removable" ], "id": "en-integral-en-adj-2mBjIkgK", "links": [ [ "Constituting", "constitute" ], [ "whole", "whole" ], [ "part", "part" ], [ "factor", "factor" ], [ "omittable", "omittable" ], [ "removable", "removable" ] ], "synonyms": [ { "word": "immanent" }, { "word": "inherent" }, { "word": "necessary" }, { "word": "intrinsic" } ], "translations": [ { "_dis1": "78 1 0 1 19", "code": "ba", "lang": "Bashkir", "roman": "ayırılğıhıź", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "айырылғыһыҙ" }, { "_dis1": "78 1 0 1 19", "code": "bg", "lang": "Bulgarian", "roman": "nerazdelen", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неразделен" }, { "_dis1": "78 1 0 1 19", "code": "bg", "lang": "Bulgarian", "roman": "cjalosten", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "цялостен" }, { "_dis1": "78 1 0 1 19", "code": "yue", "lang": "Chinese Cantonese", "roman": "jyun⁴ zing² ge³", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "完整嘅" }, { "_dis1": "78 1 0 1 19", "code": "cmn", "lang": "Chinese Mandarin", "roman": "wánzhěng de", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "完整的" }, { "_dis1": "78 1 0 1 19", "code": "cs", "lang": "Czech", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "nedílný" }, { "_dis1": "78 1 0 1 19", "code": "nl", "lang": "Dutch", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integraal" }, { "_dis1": "78 1 0 1 19", "code": "eo", "lang": "Esperanto", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integra" }, { "_dis1": "78 1 0 1 19", "code": "fi", "lang": "Finnish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "olennainen" }, { "_dis1": "78 1 0 1 19", "code": "fi", "lang": "Finnish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "kokonaisuuteen kuuluva" }, { "_dis1": "78 1 0 1 19", "code": "de", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "_dis1": "78 1 0 1 19", "code": "de", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "ein Ganzes ausmachend" }, { "_dis1": "78 1 0 1 19", "code": "de", "english": "descriptive", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "zur Erhaltung des Ganzen unentbehrlich" }, { "_dis1": "78 1 0 1 19", "code": "el", "lang": "Greek", "roman": "anapóspastos", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "αναπόσπαστος" }, { "_dis1": "78 1 0 1 19", "code": "he", "lang": "Hebrew", "roman": "integráli", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "אִינְטֶגְרָלִי" }, { "_dis1": "78 1 0 1 19", "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "интегралды" }, { "_dis1": "78 1 0 1 19", "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "интегралдық" }, { "_dis1": "78 1 0 1 19", "code": "km", "lang": "Khmer", "roman": "dael teang srong", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "ដែលទាំងស្រុង" }, { "_dis1": "78 1 0 1 19", "code": "gv", "lang": "Manx", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "slane" }, { "_dis1": "78 1 0 1 19", "code": "pl", "lang": "Polish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "jednolity" }, { "_dis1": "78 1 0 1 19", "code": "pl", "lang": "Polish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integralny" }, { "_dis1": "78 1 0 1 19", "code": "pt", "lang": "Portuguese", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "_dis1": "78 1 0 1 19", "code": "ro", "lang": "Romanian", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "_dis1": "78 1 0 1 19", "code": "ru", "lang": "Russian", "roman": "neotʺjémlemyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неотъе́млемый" }, { "_dis1": "78 1 0 1 19", "code": "ru", "lang": "Russian", "roman": "nedelímyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "недели́мый" }, { "_dis1": "78 1 0 1 19", "code": "ru", "lang": "Russian", "roman": "neotdelímyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неотдели́мый" }, { "_dis1": "78 1 0 1 19", "code": "sv", "lang": "Swedish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "hel" }, { "_dis1": "78 1 0 1 19", "code": "sv", "lang": "Swedish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "enhetlig" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "Of, pertaining to, or being an integer." ], "id": "en-integral-en-adj-hypLjVmH", "links": [ [ "mathematics", "mathematics" ], [ "integer", "integer" ] ], "raw_glosses": [ "(mathematics) Of, pertaining to, or being an integer." ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "17 51 14 8 11", "code": "ar", "lang": "Arabic", "roman": "takāmul", "sense": "math: of, pertaining to, or being an integer", "tags": [ "masculine" ], "word": "تَكَامُل" }, { "_dis1": "17 51 14 8 11", "code": "ba", "lang": "Bashkir", "roman": "bötön hanlı", "sense": "math: of, pertaining to, or being an integer", "word": "бөтөн һанлы" }, { "_dis1": "17 51 14 8 11", "code": "cs", "lang": "Czech", "sense": "math: of, pertaining to, or being an integer", "word": "celočíselný" }, { "_dis1": "17 51 14 8 11", "code": "nl", "lang": "Dutch", "sense": "math: of, pertaining to, or being an integer", "word": "geheel" }, { "_dis1": "17 51 14 8 11", "code": "eo", "lang": "Esperanto", "sense": "math: of, pertaining to, or being an integer", "word": "entjera" }, { "_dis1": "17 51 14 8 11", "code": "fi", "lang": "Finnish", "sense": "math: of, pertaining to, or being an integer", "word": "kokonaisluku-" }, { "_dis1": "17 51 14 8 11", "code": "fr", "lang": "French", "sense": "math: of, pertaining to, or being an integer", "word": "intégral" }, { "_dis1": "17 51 14 8 11", "code": "de", "lang": "German", "sense": "math: of, pertaining to, or being an integer", "word": "ganzzahlig" }, { "_dis1": "17 51 14 8 11", "code": "el", "lang": "Greek", "roman": "akéraios", "sense": "math: of, pertaining to, or being an integer", "tags": [ "masculine" ], "word": "ακέραιος" }, { "_dis1": "17 51 14 8 11", "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "math: of, pertaining to, or being an integer", "word": "интегралды" }, { "_dis1": "17 51 14 8 11", "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "math: of, pertaining to, or being an integer", "word": "интегралдық" }, { "_dis1": "17 51 14 8 11", "code": "gv", "lang": "Manx", "sense": "math: of, pertaining to, or being an integer", "word": "slane-earrooagh" }, { "_dis1": "17 51 14 8 11", "code": "pt", "lang": "Portuguese", "sense": "math: of, pertaining to, or being an integer", "word": "inteiro" }, { "_dis1": "17 51 14 8 11", "code": "ro", "lang": "Romanian", "sense": "math: of, pertaining to, or being an integer", "word": "integral" }, { "_dis1": "17 51 14 8 11", "code": "ru", "lang": "Russian", "roman": "celočíslennyj", "sense": "math: of, pertaining to, or being an integer", "word": "целочи́сленный" }, { "_dis1": "17 51 14 8 11", "code": "es", "lang": "Spanish", "sense": "math: of, pertaining to, or being an integer", "word": "entero" }, { "_dis1": "17 51 14 8 11", "code": "sv", "lang": "Swedish", "sense": "math: of, pertaining to, or being an integer", "word": "compounds with heltal" }, { "_dis1": "17 51 14 8 11", "code": "tl", "lang": "Tagalog", "sense": "math: of, pertaining to, or being an integer", "word": "buumbilangin" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "Relating to integration (“the process of finding the integral [noun] of a function”)." ], "id": "en-integral-en-adj-W0p7Idnu", "links": [ [ "mathematics", "mathematics" ], [ "integration", "integration#English" ], [ "integral [noun", "integral#Noun" ], [ "function", "function" ] ], "raw_glosses": [ "(mathematics) Relating to integration (“the process of finding the integral [noun] of a function”)." ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "7 10 72 9 2", "code": "bg", "lang": "Bulgarian", "roman": "integralen", "sense": "math: relating to integration", "word": "интегрален" }, { "_dis1": "7 10 72 9 2", "code": "eo", "lang": "Esperanto", "sense": "math: relating to integration", "word": "integrala" }, { "_dis1": "7 10 72 9 2", "code": "fi", "lang": "Finnish", "sense": "math: relating to integration", "word": "integraali-" }, { "_dis1": "7 10 72 9 2", "code": "fr", "lang": "French", "sense": "math: relating to integration", "word": "intégral" }, { "_dis1": "7 10 72 9 2", "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "math: relating to integration", "word": "интегралды" }, { "_dis1": "7 10 72 9 2", "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "math: relating to integration", "word": "интегралдық" }, { "_dis1": "7 10 72 9 2", "code": "es", "lang": "Spanish", "sense": "math: relating to integration", "word": "integral" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Algebra", "orig": "en:Algebra", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "Being the root of some monic polynomial in A." ], "id": "en-integral-en-adj-JhLlSgIy", "links": [ [ "algebra", "algebra" ], [ "commutative algebra", "commutative algebra" ], [ "ring", "ring" ], [ "element", "element" ], [ "subring", "subring" ], [ "root", "root" ], [ "monic", "monic" ], [ "polynomial", "polynomial" ] ], "qualifier": "commutative algebra", "raw_glosses": [ "(algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A." ], "raw_tags": [ "of a ring element in a ring B relative to a subring A" ], "topics": [ "algebra", "mathematics", "sciences" ] }, { "categories": [], "glosses": [ "Whole; undamaged." ], "id": "en-integral-en-adj-b6ypeN0u", "links": [ [ "Whole", "whole" ], [ "undamaged", "undamaged" ] ], "raw_glosses": [ "(obsolete) Whole; undamaged." ], "tags": [ "obsolete" ] } ], "sounds": [ { "ipa": "/ˈɪntɪɡr(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ɪnˈtɛɡr(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ˈɪntəɡɹəl/", "tags": [ "US" ] }, { "ipa": "/ɪnˈtɛɡɹəl/", "tags": [ "US" ] }, { "audio": "en-uk-integral-noun.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/bc/En-uk-integral-noun.ogg/En-uk-integral-noun.ogg.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/bc/En-uk-integral-noun.ogg", "tags": [ "UK" ], "text": "Audio (UK)" }, { "audio": "en-uk-integral-adjective.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/85/En-uk-integral-adjective.ogg/En-uk-integral-adjective.ogg.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/8/85/En-uk-integral-adjective.ogg", "tags": [ "UK" ], "text": "Audio (UK)" }, { "enpr": "ĭnʹtĭ-grəl" }, { "enpr": "ĭnʹtə-grəl" }, { "enpr": "ĭn-tĕgʹrəl" } ], "word": "integral" } { "derived": [ { "_dis1": "0 0 0 0 0", "word": "Barnes integral" }, { "_dis1": "0 0 0 0 0", "word": "Choquet integral" }, { "_dis1": "0 0 0 0 0", "word": "contour integral" }, { "_dis1": "0 0 0 0 0", "word": "definite integral" }, { "_dis1": "0 0 0 0 0", "word": "half-integral" }, { "_dis1": "0 0 0 0 0", "word": "Hellinger integral" }, { "_dis1": "0 0 0 0 0", "word": "improper integral" }, { "_dis1": "0 0 0 0 0", "word": "indefinite integral" }, { "_dis1": "0 0 0 0 0", "word": "integral calculus" }, { "_dis1": "0 0 0 0 0", "word": "integral equation" }, { "_dis1": "0 0 0 0 0", "word": "integral theory" }, { "_dis1": "0 0 0 0 0", "word": "integral transform" }, { "_dis1": "0 0 0 0 0", "word": "integration" }, { "_dis1": "0 0 0 0 0", "word": "iterated integral" }, { "_dis1": "0 0 0 0 0", "word": "Jackson integral" }, { "_dis1": "0 0 0 0 0", "word": "Lebesgue integral" }, { "_dis1": "0 0 0 0 0", "word": "line integral" }, { "_dis1": "0 0 0 0 0", "word": "logarithmic integral" }, { "_dis1": "0 0 0 0 0", "word": "Mellin-Barnes integral" }, { "_dis1": "0 0 0 0 0", "word": "ordered integral domain" }, { "_dis1": "0 0 0 0 0", "word": "particular integral" }, { "_dis1": "0 0 0 0 0", "word": "path integral formalism" }, { "_dis1": "0 0 0 0 0", "word": "Riemann integral" }, { "_dis1": "0 0 0 0 0", "word": "Riemann-Stieltjes integral" }, { "_dis1": "0 0 0 0 0", "word": "Sugeno integral" }, { "_dis1": "0 0 0 0 0", "word": "surface integral" }, { "_dis1": "0 0 0 0 0", "word": "Volterra integral equation" }, { "_dis1": "0 0 0 0 0", "word": "volume integral" } ], "etymology_templates": [ { "args": { "1": "en", "2": "frm", "3": "integral" }, "expansion": "Middle French integral", "name": "bor" }, { "args": { "1": "en", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "der" }, { "args": { "1": "en", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.", "forms": [ { "form": "integrals", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral (plural integrals)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "_dis1": "0 0 0 0 0 0 0 0 0 0", "word": "integer" } ], "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "8 6 3 3 5 13 13 14 16 19", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "5 3 4 3 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" }, { "_dis": "5 3 3 4 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" } ], "examples": [ { "text": "The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!", "type": "example" } ], "glosses": [ "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof." ], "id": "en-integral-en-noun-2y84Ivz~", "links": [ [ "mathematics", "mathematics" ], [ "operations", "operations" ], [ "calculus", "calculus" ], [ "differentiation", "differentiation" ], [ "function", "function" ], [ "displacement", "displacement" ], [ "area", "area" ], [ "volume", "volume" ], [ "infinitesimal", "infinitesimal" ], [ "limiting", "limit" ], [ "sequence", "sequence" ], [ "partial sum", "partial sum" ], [ "long s", "long s" ], [ "∫", "∫" ] ], "raw_glosses": [ "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "10 4 3 3 7 13 23 10 11 15", "kind": "other", "name": "English entries with language name categories using raw markup", "parents": [ "Entries with language name categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "8 6 3 3 5 13 13 14 16 19", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "5 3 4 3 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" }, { "_dis": "5 3 3 4 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" } ], "glosses": [ "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.", "Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc." ], "id": "en-integral-en-noun-ph7r4pW~", "links": [ [ "mathematics", "mathematics" ], [ "operations", "operations" ], [ "calculus", "calculus" ], [ "differentiation", "differentiation" ], [ "function", "function" ], [ "displacement", "displacement" ], [ "area", "area" ], [ "volume", "volume" ], [ "infinitesimal", "infinitesimal" ], [ "limiting", "limit" ], [ "sequence", "sequence" ], [ "partial sum", "partial sum" ], [ "long s", "long s" ], [ "∫", "∫" ], [ "analytic", "analysis" ], [ "formalization", "formalization" ], [ "Riemann integral", "Riemann integral" ], [ "Lebesgue integral", "Lebesgue integral" ] ], "raw_glosses": [ "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.", "(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc." ], "tags": [ "specifically" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "8 6 3 3 5 13 13 14 16 19", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" } ], "examples": [ { "text": "The integral of #x5C;frac#x7B;1#x7D;#x7B;x#x7D; on #x5B;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;,1#x5D; is #x5C;ln(2), but the integral of the same function on (0,1#x5D; diverges. In notation, #x5C;int#x5F;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;ln(2), but #x5C;int#x5F;0¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;infty.", "type": "example" }, { "text": "Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #x5C;int#x5F;S#x5C;nabla#x5C;times#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;S#x7D;#x3D;#x5C;int#x5F;#x7B;#x5C;partialS#x7D;#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;r#x7D;,.", "type": "example" } ], "glosses": [ "A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign." ], "id": "en-integral-en-noun-RVlHYzKc", "links": [ [ "mathematics", "mathematics" ], [ "definite integral", "definite integral" ], [ "application", "application" ], [ "subset", "subset" ], [ "domain", "domain" ], [ "number", "number" ], [ "positive", "positive" ], [ "negative", "negative" ], [ "infinity", "infinity" ], [ "finite", "finite" ], [ "converge", "converge" ], [ "diverge", "diverge" ], [ "interval", "interval" ], [ "integrand", "integrand" ], [ "differential form", "differential form" ] ], "raw_glosses": [ "(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign." ], "topics": [ "mathematics", "sciences" ] }, { "antonyms": [ { "word": "derivative" } ], "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "8 6 3 3 5 13 13 14 16 19", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" } ], "examples": [ { "text": "The integral of x² is #x5C;frac#x7B;x³#x7D;#x7B;3#x7D; plus a constant.", "type": "example" } ], "glosses": [ "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;" ], "id": "en-integral-en-noun-ZVvpbXsn", "links": [ [ "mathematics", "mathematics" ], [ "indefinite integral", "indefinite integral" ], [ "indefinite", "indefinite" ], [ "antiderivative", "antiderivative" ] ], "raw_glosses": [ "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;" ], "synonyms": [ { "word": "antiderivative" }, { "word": "indefinite integral" }, { "word": "∫" } ], "topics": [ "mathematics", "sciences" ] }, { "antonyms": [ { "word": "derivative" } ], "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "14 5 3 3 9 12 16 12 13 14", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "8 6 3 3 5 13 13 14 16 19", "kind": "other", "name": "English entries with topic categories using raw markup", "parents": [ "Entries with topic categories using raw markup", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "12 5 5 2 8 11 15 11 12 19", "kind": "other", "name": "English heteronyms", "parents": [], "source": "w+disamb" }, { "_dis": "5 3 4 3 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Calculus", "orig": "en:Calculus", "parents": [ "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" }, { "_dis": "5 3 3 4 3 22 22 7 6 24", "kind": "topical", "langcode": "en", "name": "Functions", "orig": "en:Functions", "parents": [ "Algebra", "Calculus", "Geometry", "Mathematical analysis", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w+disamb" } ], "glosses": [ "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;", "The fluent of a given fluxion in Newtonian calculus." ], "id": "en-integral-en-noun-33mxjsHp", "links": [ [ "mathematics", "mathematics" ], [ "indefinite integral", "indefinite integral" ], [ "indefinite", "indefinite" ], [ "antiderivative", "antiderivative" ], [ "fluent", "fluent" ], [ "fluxion", "fluxion" ], [ "Newtonian", "Newtonian" ] ], "raw_glosses": [ "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;", "(mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus." ], "synonyms": [ { "word": "antiderivative" }, { "word": "indefinite integral" }, { "word": "∫" } ], "tags": [ "historical", "obsolete" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ˈɪntɪɡɹ(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ˈɪntəɡɹəl/", "tags": [ "US" ] }, { "ipa": "/ɪnˈtɛɡɹəl/", "tags": [ "US" ] } ], "translations": [ { "_dis1": "34 34 8 9 15", "code": "hy", "lang": "Armenian", "roman": "integral", "sense": "limit of sums", "word": "ինտեգրալ" }, { "_dis1": "34 34 8 9 15", "code": "be", "lang": "Belarusian", "roman": "intehrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "інтэгра́л" }, { "_dis1": "34 34 8 9 15", "code": "bg", "lang": "Bulgarian", "roman": "integrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "интегра́л" }, { "_dis1": "34 34 8 9 15", "code": "ca", "lang": "Catalan", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integració" }, { "_dis1": "34 34 8 9 15", "code": "yue", "lang": "Chinese Cantonese", "sense": "limit of sums", "word": "積分" }, { "_dis1": "34 34 8 9 15", "code": "yue", "lang": "Chinese Cantonese", "roman": "zik¹ fan¹", "sense": "limit of sums", "word": "积分" }, { "_dis1": "34 34 8 9 15", "code": "hak", "lang": "Hakka Chinese", "sense": "limit of sums", "word": "chit-fûn-ho̍k" }, { "_dis1": "34 34 8 9 15", "code": "cmn", "lang": "Chinese Mandarin", "sense": "limit of sums", "word": "積分" }, { "_dis1": "34 34 8 9 15", "code": "cmn", "lang": "Chinese Mandarin", "roman": "jī fēn", "sense": "limit of sums", "word": "积分" }, { "_dis1": "34 34 8 9 15", "code": "cs", "lang": "Czech", "sense": "limit of sums", "tags": [ "masculine" ], "word": "integrál" }, { "_dis1": "34 34 8 9 15", "code": "nl", "lang": "Dutch", "sense": "limit of sums", "word": "integraal" }, { "_dis1": "34 34 8 9 15", "code": "eo", "lang": "Esperanto", "sense": "limit of sums", "word": "integralo" }, { "_dis1": "34 34 8 9 15", "code": "eo", "lang": "Esperanto", "sense": "limit of sums", "word": "integro" }, { "_dis1": "34 34 8 9 15", "code": "fi", "lang": "Finnish", "sense": "limit of sums", "word": "integraali" }, { "_dis1": "34 34 8 9 15", "code": "fr", "lang": "French", "sense": "limit of sums", "tags": [ "feminine" ], "word": "intégrale" }, { "_dis1": "34 34 8 9 15", "code": "ka", "lang": "Georgian", "roman": "inṭegrali", "sense": "limit of sums", "word": "ინტეგრალი" }, { "_dis1": "34 34 8 9 15", "code": "de", "lang": "German", "sense": "limit of sums", "tags": [ "neuter" ], "word": "Integral" }, { "_dis1": "34 34 8 9 15", "code": "el", "lang": "Greek", "roman": "oloklíroma", "sense": "limit of sums", "tags": [ "neuter" ], "word": "ολοκλήρωμα" }, { "_dis1": "34 34 8 9 15", "code": "he", "lang": "Hebrew", "roman": "integrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "אִינְטֶגְרָל" }, { "_dis1": "34 34 8 9 15", "code": "he", "english": "Academy of the Hebrew Language", "lang": "Hebrew", "roman": "askémet", "sense": "limit of sums", "tags": [ "feminine" ], "word": "אַסְכֶּמֶת" }, { "_dis1": "34 34 8 9 15", "code": "hu", "lang": "Hungarian", "sense": "limit of sums", "word": "integrál" }, { "_dis1": "34 34 8 9 15", "code": "is", "lang": "Icelandic", "sense": "limit of sums", "tags": [ "feminine" ], "word": "heildun" }, { "_dis1": "34 34 8 9 15", "code": "is", "lang": "Icelandic", "sense": "limit of sums", "tags": [ "feminine" ], "word": "tegrun" }, { "_dis1": "34 34 8 9 15", "code": "it", "lang": "Italian", "sense": "limit of sums", "tags": [ "masculine" ], "word": "integrale" }, { "_dis1": "34 34 8 9 15", "alt": "せきぶん", "code": "ja", "lang": "Japanese", "roman": "sekibun", "sense": "limit of sums", "word": "積分" }, { "_dis1": "34 34 8 9 15", "code": "kk", "lang": "Kazakh", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "_dis1": "34 34 8 9 15", "code": "km", "lang": "Khmer", "roman": "ʼangteekraal", "sense": "limit of sums", "word": "អាំងតេក្រាល" }, { "_dis1": "34 34 8 9 15", "code": "ko", "lang": "Korean", "roman": "jeokbun", "sense": "limit of sums", "word": "적분" }, { "_dis1": "34 34 8 9 15", "code": "ky", "lang": "Kyrgyz", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "_dis1": "34 34 8 9 15", "code": "ms", "lang": "Malay", "sense": "limit of sums", "word": "kamiran" }, { "_dis1": "34 34 8 9 15", "code": "gv", "lang": "Manx", "sense": "limit of sums", "tags": [ "masculine" ], "word": "co-hym" }, { "_dis1": "34 34 8 9 15", "code": "mn", "lang": "Mongolian", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "_dis1": "34 34 8 9 15", "code": "no", "lang": "Norwegian", "sense": "limit of sums", "tags": [ "neuter" ], "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "pl", "lang": "Polish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "całka" }, { "_dis1": "34 34 8 9 15", "code": "pl", "lang": "Polish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "całka oznaczona" }, { "_dis1": "34 34 8 9 15", "code": "pt", "lang": "Portuguese", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "ro", "lang": "Romanian", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integrală" }, { "_dis1": "34 34 8 9 15", "code": "ru", "lang": "Russian", "roman": "intɛgrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "интегра́л" }, { "_dis1": "34 34 8 9 15", "code": "sh", "lang": "Serbo-Croatian", "sense": "limit of sums", "tags": [ "Cyrillic", "masculine" ], "word": "интѐгра̄л" }, { "_dis1": "34 34 8 9 15", "code": "sh", "lang": "Serbo-Croatian", "sense": "limit of sums", "tags": [ "Roman", "masculine" ], "word": "intègrāl" }, { "_dis1": "34 34 8 9 15", "code": "es", "lang": "Spanish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "su", "lang": "Sundanese", "sense": "limit of sums", "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "sv", "lang": "Swedish", "sense": "limit of sums", "tags": [ "common-gender" ], "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "tl", "lang": "Tagalog", "sense": "limit of sums", "word": "lagom" }, { "_dis1": "34 34 8 9 15", "code": "th", "lang": "Thai", "sense": "limit of sums", "word": "ปริพันธ์" }, { "_dis1": "34 34 8 9 15", "code": "tr", "lang": "Turkish", "sense": "limit of sums", "word": "integral" }, { "_dis1": "34 34 8 9 15", "code": "uk", "lang": "Ukrainian", "roman": "intehrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "інтегра́л" }, { "_dis1": "34 34 8 9 15", "code": "vi", "lang": "Vietnamese", "sense": "limit of sums", "word": "tích phân" } ], "wikipedia": [ "integral" ], "word": "integral" } { "head_templates": [ { "args": { "1": "sq", "2": "noun", "cat2": "masculine nouns", "g": "m", "head": "", "sort": "" }, "expansion": "integral m", "name": "head" }, { "args": { "1": "m" }, "expansion": "integral m", "name": "sq-noun" } ], "lang": "Albanian", "lang_code": "sq", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "Albanian entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "sq", "name": "Mathematics", "orig": "sq:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "integral (relating to integration)" ], "id": "en-integral-sq-noun-MLG0XmMe", "links": [ [ "mathematics", "mathematics" ], [ "integral", "#English" ], [ "integration", "integration" ] ], "raw_glosses": [ "(mathematics) integral (relating to integration)" ], "tags": [ "masculine" ], "topics": [ "mathematics", "sciences" ] } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "ca", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrals", "tags": [ "feminine", "masculine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (masculine and feminine plural integrals)", "name": "ca-adj" } ], "lang": "Catalan", "lang_code": "ca", "pos": "adj", "related": [ { "_dis1": "0 0", "word": "enter" }, { "_dis1": "0 0", "word": "integració" }, { "_dis1": "0 0", "word": "integrar" }, { "_dis1": "0 0", "word": "íntegre" } ], "senses": [ { "glosses": [ "integral" ], "id": "en-integral-ca-adj-GiD21VEO", "links": [ [ "integral", "integral#English" ] ], "tags": [ "feminine", "masculine" ] }, { "categories": [ { "_dis": "1 71 28", "kind": "other", "name": "Catalan entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "13 58 28", "kind": "other", "name": "Catalan feminine nouns with no feminine ending", "parents": [], "source": "w+disamb" } ], "glosses": [ "wholegrain, wholemeal" ], "id": "en-integral-ca-adj-RtlfygDc", "links": [ [ "wholegrain", "wholegrain" ], [ "wholemeal", "wholemeal" ] ], "raw_glosses": [ "(of bread, etc.) wholegrain, wholemeal" ], "raw_tags": [ "of bread" ], "tags": [ "feminine", "masculine", "usually" ] } ], "sounds": [ { "ipa": "[in.təˈɣɾal]", "tags": [ "Balearic", "Central" ] }, { "ipa": "[in.teˈɣɾal]", "tags": [ "Valencian" ] } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "ca", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrals", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f" }, "expansion": "integral f (plural integrals)", "name": "ca-noun" } ], "lang": "Catalan", "lang_code": "ca", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "ca", "name": "Mathematics", "orig": "ca:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "derived": [ { "word": "integral indefinida" } ], "glosses": [ "integral" ], "id": "en-integral-ca-noun-GiD21VEO", "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "feminine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "[in.təˈɣɾal]", "tags": [ "Balearic", "Central" ] }, { "ipa": "[in.teˈɣɾal]", "tags": [ "Valencian" ] } ], "word": "integral" } { "descendants": [ { "depth": 1, "templates": [ { "args": { "1": "fr", "2": "intégral" }, "expansion": "French: intégral", "name": "desc" } ], "text": "French: intégral" } ], "etymology_templates": [ { "args": { "1": "frm", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "frm", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrale", "tags": [ "feminine", "singular" ] }, { "form": "integraux", "tags": [ "masculine", "plural" ] }, { "form": "integrales", "tags": [ "feminine", "plural" ] } ], "head_templates": [ { "args": { "1": "frm", "10": "{{{mp2}}}", "11": "feminine plural", "12": "integrales", "2": "adjective", "3": "", "4": "integraux", "5": "feminine singular", "6": "integrale", "7": "masculine plural", "8": "integraux", "9": "", "f1accel-form": "p", "f2accel-form": "f|s", "f3accel-form": "m|p", "f5accel-form": "f|p", "g": "m", "g2": "", "head": "" }, "expansion": "integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)", "name": "head" }, { "args": { "1": "integrale", "2": "integraux", "3": "integrales" }, "expansion": "integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)", "name": "frm-adj" } ], "lang": "Middle French", "lang_code": "frm", "pos": "adj", "senses": [ { "glosses": [ "integral, necessary to the function of the whole" ], "id": "en-integral-frm-adj-T0eolj3C", "links": [ [ "integral", "integral#English" ] ], "tags": [ "masculine" ] }, { "categories": [ { "_dis": "25 75", "kind": "other", "name": "Middle French entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "whole; entire" ], "id": "en-integral-frm-adj-U4eRVpUH", "links": [ [ "whole", "whole" ], [ "entire", "entire" ] ], "tags": [ "masculine" ] } ], "word": "integral" } { "derived": [ { "_dis1": "0 0", "word": "integralmente" } ], "etymology_templates": [ { "args": { "1": "pt", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "pt", "2": "la", "3": "integer", "t": "entire; untouched" }, "expansion": "Latin integer (“entire; untouched”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire; untouched”).", "forms": [ { "form": "integrais", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (plural integrais)", "name": "pt-adj" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Portuguese", "lang_code": "pt", "pos": "adj", "senses": [ { "glosses": [ "integral; whole; entire" ], "id": "en-integral-pt-adj-M7onPtfT", "links": [ [ "integral", "integral#English" ], [ "whole", "whole" ], [ "entire", "entire" ] ], "synonyms": [ { "_dis1": "59 41", "sense": "whole", "word": "completo" }, { "_dis1": "59 41", "sense": "whole", "word": "íntegro" }, { "_dis1": "59 41", "sense": "whole", "word": "inteiro" }, { "_dis1": "59 41", "sense": "whole", "word": "intacto" }, { "_dis1": "59 41", "sense": "whole", "word": "total" } ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "whole (from which none of its constituents has been removed)" ], "id": "en-integral-pt-adj-T1BeDijA", "links": [ [ "whole", "whole" ] ], "raw_glosses": [ "(of food) whole (from which none of its constituents has been removed)" ], "raw_tags": [ "of food" ], "tags": [ "feminine", "masculine" ] } ], "sounds": [ { "ipa": "/ĩ.teˈɡɾaw/", "tags": [ "Brazil" ] }, { "ipa": "[ĩ.teˈɡɾaʊ̯]", "tags": [ "Brazil" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾa.li/", "tags": [ "Portugal", "Southern" ] }, { "ipa": "[ĩ.tɨˈɣɾa.li]", "tags": [ "Portugal", "Southern" ] }, { "rhymes": "-al" }, { "rhymes": "-aw" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "pt", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "pt", "2": "la", "3": "integer", "t": "entire; untouched" }, "expansion": "Latin integer (“entire; untouched”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire; untouched”).", "forms": [ { "form": "integrais", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f", "g2": "m" }, "expansion": "integral f or m (plural integrais)", "name": "pt-noun" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Portuguese", "lang_code": "pt", "pos": "noun", "related": [ { "_dis1": "0 0", "word": "integrado" }, { "_dis1": "0 0", "word": "integrar" }, { "_dis1": "0 0", "word": "íntegro" } ], "senses": [ { "categories": [ { "kind": "topical", "langcode": "pt", "name": "Mathematics", "orig": "pt:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "integral (limits of sums)" ], "id": "en-integral-pt-noun-kps-l~pi", "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral (limits of sums)" ], "tags": [ "feminine", "masculine" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ { "kind": "topical", "langcode": "pt", "name": "Mathematics", "orig": "pt:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "8 23 12 57", "kind": "other", "name": "Portuguese entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "antiderivative" ], "id": "en-integral-pt-noun-LSOwYaVr", "links": [ [ "mathematics", "mathematics" ], [ "antiderivative", "antiderivative" ] ], "raw_glosses": [ "(mathematics) antiderivative" ], "synonyms": [ { "word": "antiderivada" } ], "tags": [ "feminine", "masculine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ĩ.teˈɡɾaw/", "tags": [ "Brazil" ] }, { "ipa": "[ĩ.teˈɡɾaʊ̯]", "tags": [ "Brazil" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾa.li/", "tags": [ "Portugal", "Southern" ] }, { "ipa": "[ĩ.tɨˈɣɾa.li]", "tags": [ "Portugal", "Southern" ] }, { "rhymes": "-al" }, { "rhymes": "-aw" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ro", "2": "fr", "3": "intégral", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "French intégral", "name": "bor" }, { "args": { "1": "ro", "2": "fr", "3": "intégral" }, "expansion": "Borrowed from French intégral", "name": "bor+" }, { "args": { "1": "ro", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" } ], "etymology_text": "Borrowed from French intégral, Medieval Latin integrālis.", "forms": [ { "form": "integrală", "tags": [ "feminine", "singular" ] }, { "form": "integrali", "tags": [ "masculine", "plural" ] }, { "form": "integrale", "tags": [ "feminine", "neuter", "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "ro-adj-4", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "accusative", "indefinite", "masculine", "neuter", "nominative", "singular" ] }, { "form": "integrală", "source": "declension", "tags": [ "accusative", "feminine", "indefinite", "nominative", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "accusative", "indefinite", "masculine", "nominative", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "accusative", "feminine", "indefinite", "neuter", "nominative", "plural" ] }, { "form": "integralul", "source": "declension", "tags": [ "accusative", "definite", "masculine", "neuter", "nominative", "singular" ] }, { "form": "integrala", "source": "declension", "tags": [ "accusative", "definite", "feminine", "nominative", "singular" ] }, { "form": "integralii", "source": "declension", "tags": [ "accusative", "definite", "masculine", "nominative", "plural" ] }, { "form": "integralele", "source": "declension", "tags": [ "accusative", "definite", "feminine", "neuter", "nominative", "plural" ] }, { "form": "integral", "source": "declension", "tags": [ "dative", "genitive", "indefinite", "masculine", "neuter", "singular" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "feminine", "genitive", "indefinite", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "dative", "genitive", "indefinite", "masculine", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "feminine", "genitive", "indefinite", "neuter", "plural" ] }, { "form": "integralului", "source": "declension", "tags": [ "dative", "definite", "genitive", "masculine", "neuter", "singular" ] }, { "form": "integralei", "source": "declension", "tags": [ "dative", "definite", "feminine", "genitive", "singular" ] }, { "form": "integralelor", "source": "declension", "tags": [ "dative", "definite", "genitive", "masculine", "plural" ] }, { "form": "integralilor", "source": "declension", "tags": [ "dative", "definite", "feminine", "genitive", "neuter", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)", "name": "ro-adj" } ], "inflection_templates": [ { "args": { "1": "integral", "10": "integralei", "11": "integralelor", "12": "integralilor", "2": "integrală", "3": "integrali", "4": "integrale", "5": "integralul", "6": "integrala", "7": "integralii", "8": "integralele", "9": "integralului" }, "name": "ro-decl-adj" } ], "lang": "Romanian", "lang_code": "ro", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "Romanian entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" } ], "glosses": [ "integral" ], "id": "en-integral-ro-adj-GiD21VEO", "links": [ [ "integral", "integral#English" ] ], "related": [ { "word": "integru" } ], "synonyms": [ { "word": "întreg" }, { "word": "complet" } ], "tags": [ "masculine", "neuter" ] } ], "sounds": [ { "ipa": "/in.teˈɡral/" } ], "word": "integral" } { "derived": [ { "_dis1": "0 0 0 0", "word": "arroz integral" }, { "_dis1": "0 0 0 0", "word": "cálculo integral" }, { "_dis1": "0 0 0 0", "word": "integralidad" }, { "_dis1": "0 0 0 0", "word": "integralmente" }, { "_dis1": "0 0 0 0", "word": "pan integral" }, { "_dis1": "0 0 0 0", "word": "parte integral" } ], "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "es", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire”).", "forms": [ { "form": "integrales", "tags": [ "feminine", "masculine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (masculine and feminine plural integrales)", "name": "es-adj" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Spanish", "lang_code": "es", "pos": "adj", "related": [ { "_dis1": "0 0 0 0", "word": "íntegro" } ], "senses": [ { "glosses": [ "integral" ], "id": "en-integral-es-adj-GiD21VEO", "links": [ [ "integral", "integral#English" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "whole" ], "id": "en-integral-es-adj-XVdmzy14", "links": [ [ "whole", "whole" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "brown (rice)" ], "id": "en-integral-es-adj-eOgXFL-U", "links": [ [ "brown", "brown" ] ], "tags": [ "feminine", "masculine" ] }, { "categories": [ { "_dis": "1 5 1 71 22", "kind": "other", "name": "Spanish entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" } ], "glosses": [ "wholegrain" ], "id": "en-integral-es-adj-QF0-16S7", "links": [ [ "wholegrain", "wholegrain" ] ], "tags": [ "feminine", "masculine" ] } ], "sounds": [ { "ipa": "/inteˈɡɾal/" }, { "ipa": "[ĩn̪.t̪eˈɣ̞ɾal]" }, { "rhymes": "-al" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "es", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire”).", "forms": [ { "form": "integrales", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f" }, "expansion": "integral f (plural integrales)", "name": "es-noun" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Spanish", "lang_code": "es", "pos": "noun", "senses": [ { "categories": [ { "kind": "topical", "langcode": "es", "name": "Mathematics", "orig": "es:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "integral" ], "id": "en-integral-es-noun-GiD21VEO", "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "feminine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/inteˈɡɾal/" }, { "ipa": "[ĩn̪.t̪eˈɣ̞ɾal]" }, { "rhymes": "-al" } ], "word": "integral" } { "forms": [ { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "sv-infl-noun-c-er", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "indefinite", "nominative", "singular" ] }, { "form": "integralen", "source": "declension", "tags": [ "definite", "nominative", "singular" ] }, { "form": "integraler", "source": "declension", "tags": [ "indefinite", "nominative", "plural" ] }, { "form": "integralerna", "source": "declension", "tags": [ "definite", "nominative", "plural" ] }, { "form": "integrals", "source": "declension", "tags": [ "genitive", "indefinite", "singular" ] }, { "form": "integralens", "source": "declension", "tags": [ "definite", "genitive", "singular" ] }, { "form": "integralers", "source": "declension", "tags": [ "genitive", "indefinite", "plural" ] }, { "form": "integralernas", "source": "declension", "tags": [ "definite", "genitive", "plural" ] } ], "head_templates": [ { "args": { "1": "sv", "2": "nouns", "3": "", "g": "c", "g2": "", "head": "", "sort": "" }, "expansion": "integral c", "name": "head" }, { "args": { "1": "c" }, "expansion": "integral c", "name": "sv-noun" } ], "inflection_templates": [ { "args": {}, "name": "sv-infl-noun-c-er" } ], "lang": "Swedish", "lang_code": "sv", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "Swedish entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "sv", "name": "Mathematics", "orig": "sv:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "integral" ], "id": "en-integral-sv-noun-GiD21VEO", "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "common-gender" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ɪntɛˈɡraːl/" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "tl", "2": "es", "3": "integral" }, "expansion": "Spanish integral", "name": "bor" } ], "etymology_text": "Borrowed from Spanish integral.", "forms": [ { "form": "integrál", "tags": [ "canonical" ] }, { "form": "ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔", "tags": [ "Baybayin" ] } ], "head_templates": [ { "args": { "1": "integrál", "b": "+" }, "expansion": "integrál (Baybayin spelling ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔)", "name": "tl-adj" } ], "hyphenation": [ "in‧teg‧ral" ], "lang": "Tagalog", "lang_code": "tl", "pos": "adj", "senses": [ { "categories": [ { "kind": "other", "name": "Tagalog entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Tagalog terms with Baybayin script", "parents": [], "source": "w" }, { "kind": "other", "name": "Tagalog terms with missing Baybayin script entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Tagalog terms without tl-pr template", "parents": [], "source": "w" } ], "glosses": [ "integral" ], "id": "en-integral-tl-adj-GiD21VEO", "links": [ [ "integral", "integral#English" ] ], "related": [ { "word": "integrasyon" }, { "word": "integrante" } ], "synonyms": [ { "word": "buo" }, { "word": "kompleto" } ] } ], "sounds": [ { "ipa": "/ʔinteɡˈɾal/" }, { "ipa": "[ʔɪn.tɛɡˈɾal]" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "tr", "2": "fr", "3": "intégral" }, "expansion": "French intégral", "name": "bor" } ], "etymology_text": "Borrowed from French intégral.", "forms": [ { "form": "integrali", "tags": [ "accusative", "definite" ] }, { "form": "integraller", "tags": [ "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "tr-infl-noun-c", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "nominative", "singular" ] }, { "form": "integraller", "source": "declension", "tags": [ "nominative", "plural" ] }, { "form": "integrali", "source": "declension", "tags": [ "accusative", "definite", "singular" ] }, { "form": "integralleri", "source": "declension", "tags": [ "accusative", "definite", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "singular" ] }, { "form": "integrallere", "source": "declension", "tags": [ "dative", "plural" ] }, { "form": "integralde", "source": "declension", "tags": [ "locative", "singular" ] }, { "form": "integrallerde", "source": "declension", "tags": [ "locative", "plural" ] }, { "form": "integralden", "source": "declension", "tags": [ "ablative", "singular" ] }, { "form": "integrallerden", "source": "declension", "tags": [ "ablative", "plural" ] }, { "form": "integralin", "source": "declension", "tags": [ "genitive", "singular" ] }, { "form": "integrallerin", "source": "declension", "tags": [ "genitive", "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "tr-infl-noun-c", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integralim", "source": "declension", "tags": [ "first-person", "nominative", "singular" ] }, { "form": "integrallerim", "source": "declension", "tags": [ "first-person", "nominative", "singular" ] }, { "form": "integralin", "source": "declension", "tags": [ "nominative", "second-person", "singular" ] }, { "form": "integrallerin", "source": "declension", "tags": [ "nominative", "second-person", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "nominative", "singular", "third-person" ] }, { "form": "integralleri", "source": "declension", "tags": [ "nominative", "singular", "third-person" ] }, { "form": "integralimiz", "source": "declension", "tags": [ "first-person", "nominative", "plural" ] }, { "form": "integrallerimiz", "source": "declension", "tags": [ "first-person", "nominative", "plural" ] }, { "form": "integraliniz", "source": "declension", "tags": [ "nominative", "plural", "second-person" ] }, { "form": "integralleriniz", "source": "declension", "tags": [ "nominative", "plural", "second-person" ] }, { "form": "integralleri", "source": "declension", "tags": [ "nominative", "plural", "third-person" ] }, { "form": "integralimi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "singular" ] }, { "form": "integrallerimi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "singular" ] }, { "form": "integralini", "source": "declension", "tags": [ "accusative", "definite", "second-person", "singular" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "second-person", "singular" ] }, { "form": "integralini", "source": "declension", "tags": [ "accusative", "definite", "singular", "third-person" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "singular", "third-person" ] }, { "form": "integralimizi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "plural" ] }, { "form": "integrallerimizi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "plural" ] }, { "form": "integralinizi", "source": "declension", "tags": [ "accusative", "definite", "plural", "second-person" ] }, { "form": "integrallerinizi", "source": "declension", "tags": [ "accusative", "definite", "plural", "second-person" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "plural", "third-person" ] }, { "form": "integralime", "source": "declension", "tags": [ "dative", "first-person", "singular" ] }, { "form": "integrallerime", "source": "declension", "tags": [ "dative", "first-person", "singular" ] }, { "form": "integraline", "source": "declension", "tags": [ "dative", "second-person", "singular" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "second-person", "singular" ] }, { "form": "integraline", "source": "declension", "tags": [ "dative", "singular", "third-person" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "singular", "third-person" ] }, { "form": "integralimize", "source": "declension", "tags": [ "dative", "first-person", "plural" ] }, { "form": "integrallerimize", "source": "declension", "tags": [ "dative", "first-person", "plural" ] }, { "form": "integralinize", "source": "declension", "tags": [ "dative", "plural", "second-person" ] }, { "form": "integrallerinize", "source": "declension", "tags": [ "dative", "plural", "second-person" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "plural", "third-person" ] }, { "form": "integralimde", "source": "declension", "tags": [ "first-person", "locative", "singular" ] }, { "form": "integrallerimde", "source": "declension", "tags": [ "first-person", "locative", "singular" ] }, { "form": "integralinde", "source": "declension", "tags": [ "locative", "second-person", "singular" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "second-person", "singular" ] }, { "form": "integralinde", "source": "declension", "tags": [ "locative", "singular", "third-person" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "singular", "third-person" ] }, { "form": "integralimizde", "source": "declension", "tags": [ "first-person", "locative", "plural" ] }, { "form": "integrallerimizde", "source": "declension", "tags": [ "first-person", "locative", "plural" ] }, { "form": "integralinizde", "source": "declension", "tags": [ "locative", "plural", "second-person" ] }, { "form": "integrallerinizde", "source": "declension", "tags": [ "locative", "plural", "second-person" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "plural", "third-person" ] }, { "form": "integralimden", "source": "declension", "tags": [ "ablative", "first-person", "singular" ] }, { "form": "integrallerimden", "source": "declension", "tags": [ "ablative", "first-person", "singular" ] }, { "form": "integralinden", "source": "declension", "tags": [ "ablative", "second-person", "singular" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "second-person", "singular" ] }, { "form": "integralinden", "source": "declension", "tags": [ "ablative", "singular", "third-person" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "singular", "third-person" ] }, { "form": "integralimizden", "source": "declension", "tags": [ "ablative", "first-person", "plural" ] }, { "form": "integrallerimizden", "source": "declension", "tags": [ "ablative", "first-person", "plural" ] }, { "form": "integralinizden", "source": "declension", "tags": [ "ablative", "plural", "second-person" ] }, { "form": "integrallerinizden", "source": "declension", "tags": [ "ablative", "plural", "second-person" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "plural", "third-person" ] }, { "form": "integralimin", "source": "declension", "tags": [ "first-person", "genitive", "singular" ] }, { "form": "integrallerimin", "source": "declension", "tags": [ "first-person", "genitive", "singular" ] }, { "form": "integralinin", "source": "declension", "tags": [ "genitive", "second-person", "singular" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "second-person", "singular" ] }, { "form": "integralinin", "source": "declension", "tags": [ "genitive", "singular", "third-person" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "singular", "third-person" ] }, { "form": "integralimizin", "source": "declension", "tags": [ "first-person", "genitive", "plural" ] }, { "form": "integrallerimizin", "source": "declension", "tags": [ "first-person", "genitive", "plural" ] }, { "form": "integralinizin", "source": "declension", "tags": [ "genitive", "plural", "second-person" ] }, { "form": "integrallerinizin", "source": "declension", "tags": [ "genitive", "plural", "second-person" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "plural", "third-person" ] } ], "head_templates": [ { "args": { "1": "tr", "2": "noun", "3": "definite accusative", "4": "integrali", "5": "", "6": "", "7": "plural", "8": "integraller", "f1accel-form": "def|acc|s", "f1request": "1", "f3accel-form": "nom|p", "f3request": "1", "head": "", "sort": "" }, "expansion": "integral (definite accusative integrali, plural integraller)", "name": "head" }, { "args": { "1": "i", "2": "ler" }, "expansion": "integral (definite accusative integrali, plural integraller)", "name": "tr-noun" } ], "inflection_templates": [ { "args": { "1": "e", "poss": "1" }, "name": "tr-infl-noun-c" } ], "lang": "Turkish", "lang_code": "tr", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "Turkish entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "tr", "name": "Mathematics", "orig": "tr:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "text": "∫ₐᵇ!f(x),dx," } ], "glosses": [ "integral" ], "id": "en-integral-tr-noun-GiD21VEO", "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "[in.tɛɟ.ˈɾalʲ]" } ], "word": "integral" }
{ "head_templates": [ { "args": { "1": "sq", "2": "noun", "cat2": "masculine nouns", "g": "m", "head": "", "sort": "" }, "expansion": "integral m", "name": "head" }, { "args": { "1": "m" }, "expansion": "integral m", "name": "sq-noun" } ], "lang": "Albanian", "lang_code": "sq", "pos": "noun", "senses": [ { "categories": [ "Albanian entries with incorrect language header", "Albanian lemmas", "Albanian masculine nouns", "Albanian nouns", "sq:Mathematics" ], "glosses": [ "integral (relating to integration)" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "#English" ], [ "integration", "integration" ] ], "raw_glosses": [ "(mathematics) integral (relating to integration)" ], "tags": [ "masculine" ], "topics": [ "mathematics", "sciences" ] } ], "word": "integral" } { "categories": [ "Catalan adjectives", "Catalan countable nouns", "Catalan entries with incorrect language header", "Catalan epicene adjectives", "Catalan feminine nouns", "Catalan feminine nouns with no feminine ending", "Catalan lemmas", "Catalan nouns", "Catalan terms borrowed from Medieval Latin", "Catalan terms derived from Latin", "Catalan terms derived from Medieval Latin", "Catalan terms with IPA pronunciation" ], "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "ca", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrals", "tags": [ "feminine", "masculine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (masculine and feminine plural integrals)", "name": "ca-adj" } ], "lang": "Catalan", "lang_code": "ca", "pos": "adj", "related": [ { "word": "enter" }, { "word": "integració" }, { "word": "integrar" }, { "word": "íntegre" } ], "senses": [ { "glosses": [ "integral" ], "links": [ [ "integral", "integral#English" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "wholegrain, wholemeal" ], "links": [ [ "wholegrain", "wholegrain" ], [ "wholemeal", "wholemeal" ] ], "raw_glosses": [ "(of bread, etc.) wholegrain, wholemeal" ], "raw_tags": [ "of bread" ], "tags": [ "feminine", "masculine", "usually" ] } ], "sounds": [ { "ipa": "[in.təˈɣɾal]", "tags": [ "Balearic", "Central" ] }, { "ipa": "[in.teˈɣɾal]", "tags": [ "Valencian" ] } ], "word": "integral" } { "categories": [ "Catalan adjectives", "Catalan countable nouns", "Catalan entries with incorrect language header", "Catalan epicene adjectives", "Catalan feminine nouns", "Catalan feminine nouns with no feminine ending", "Catalan lemmas", "Catalan nouns", "Catalan terms borrowed from Medieval Latin", "Catalan terms derived from Latin", "Catalan terms derived from Medieval Latin", "Catalan terms with IPA pronunciation" ], "derived": [ { "word": "integral indefinida" } ], "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "ca", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "ca", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrals", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f" }, "expansion": "integral f (plural integrals)", "name": "ca-noun" } ], "lang": "Catalan", "lang_code": "ca", "pos": "noun", "senses": [ { "categories": [ "ca:Mathematics" ], "glosses": [ "integral" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "feminine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "[in.təˈɣɾal]", "tags": [ "Balearic", "Central" ] }, { "ipa": "[in.teˈɣɾal]", "tags": [ "Valencian" ] } ], "word": "integral" } { "categories": [ "English 3-syllable words", "English adjectives", "English countable nouns", "English entries with incorrect language header", "English entries with language name categories using raw markup", "English entries with topic categories using raw markup", "English heteronyms", "English lemmas", "English nouns", "English terms borrowed from Middle French", "English terms derived from Latin", "English terms derived from Medieval Latin", "English terms derived from Middle French", "English terms with IPA pronunciation", "English terms with audio links", "Requests for review of Hungarian translations", "Requests for review of Manx translations", "en:Calculus", "en:Functions" ], "derived": [ { "word": "integral brick" }, { "word": "integral closure" }, { "word": "integral cosmology" }, { "word": "integral cuboid" }, { "word": "integral current" }, { "word": "integral curvature" }, { "word": "integral curve" }, { "word": "integral domain" }, { "word": "integral drawing" }, { "word": "integral ecology" }, { "word": "integral element" }, { "word": "integral energy" }, { "word": "integral extension" }, { "word": "integral fast reactor" }, { "word": "integral field unit" }, { "word": "integral function" }, { "word": "integral geometry" }, { "word": "integral graph" }, { "word": "integral homology group" }, { "word": "integral kernel" }, { "word": "integral membrane protein" }, { "word": "integral politics" }, { "word": "integral polygedron" }, { "word": "integral polynomial" }, { "word": "integral post-metaphysics" }, { "word": "integral psychology" }, { "word": "integral transformative practice" }, { "word": "integral yoga" }, { "word": "integrity" }, { "word": "semi-integral" } ], "etymology_templates": [ { "args": { "1": "en", "2": "frm", "3": "integral" }, "expansion": "Middle French integral", "name": "bor" }, { "args": { "1": "en", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "der" }, { "args": { "1": "en", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.", "forms": [ { "form": "more integral", "tags": [ "comparative" ] }, { "form": "most integral", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "integral (comparative more integral, superlative most integral)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "related": [ { "word": "integer" }, { "word": "integrity" }, { "tags": [ "rare" ], "word": "integrous" } ], "senses": [ { "glosses": [ "Constituting a whole together with other parts or factors; not omittable or removable" ], "links": [ [ "Constituting", "constitute" ], [ "whole", "whole" ], [ "part", "part" ], [ "factor", "factor" ], [ "omittable", "omittable" ], [ "removable", "removable" ] ], "synonyms": [ { "word": "immanent" }, { "word": "inherent" }, { "word": "necessary" }, { "word": "intrinsic" } ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "Of, pertaining to, or being an integer." ], "links": [ [ "mathematics", "mathematics" ], [ "integer", "integer" ] ], "raw_glosses": [ "(mathematics) Of, pertaining to, or being an integer." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Mathematics" ], "glosses": [ "Relating to integration (“the process of finding the integral [noun] of a function”)." ], "links": [ [ "mathematics", "mathematics" ], [ "integration", "integration#English" ], [ "integral [noun", "integral#Noun" ], [ "function", "function" ] ], "raw_glosses": [ "(mathematics) Relating to integration (“the process of finding the integral [noun] of a function”)." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "en:Algebra" ], "glosses": [ "Being the root of some monic polynomial in A." ], "links": [ [ "algebra", "algebra" ], [ "commutative algebra", "commutative algebra" ], [ "ring", "ring" ], [ "element", "element" ], [ "subring", "subring" ], [ "root", "root" ], [ "monic", "monic" ], [ "polynomial", "polynomial" ] ], "qualifier": "commutative algebra", "raw_glosses": [ "(algebra, commutative algebra, of a ring element in a ring B relative to a subring A) Being the root of some monic polynomial in A." ], "raw_tags": [ "of a ring element in a ring B relative to a subring A" ], "topics": [ "algebra", "mathematics", "sciences" ] }, { "categories": [ "English terms with obsolete senses" ], "glosses": [ "Whole; undamaged." ], "links": [ [ "Whole", "whole" ], [ "undamaged", "undamaged" ] ], "raw_glosses": [ "(obsolete) Whole; undamaged." ], "tags": [ "obsolete" ] } ], "sounds": [ { "ipa": "/ˈɪntɪɡr(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ɪnˈtɛɡr(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ˈɪntəɡɹəl/", "tags": [ "US" ] }, { "ipa": "/ɪnˈtɛɡɹəl/", "tags": [ "US" ] }, { "audio": "en-uk-integral-noun.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/b/bc/En-uk-integral-noun.ogg/En-uk-integral-noun.ogg.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/b/bc/En-uk-integral-noun.ogg", "tags": [ "UK" ], "text": "Audio (UK)" }, { "audio": "en-uk-integral-adjective.ogg", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/8/85/En-uk-integral-adjective.ogg/En-uk-integral-adjective.ogg.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/8/85/En-uk-integral-adjective.ogg", "tags": [ "UK" ], "text": "Audio (UK)" }, { "enpr": "ĭnʹtĭ-grəl" }, { "enpr": "ĭnʹtə-grəl" }, { "enpr": "ĭn-tĕgʹrəl" } ], "translations": [ { "code": "ba", "lang": "Bashkir", "roman": "ayırılğıhıź", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "айырылғыһыҙ" }, { "code": "bg", "lang": "Bulgarian", "roman": "nerazdelen", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неразделен" }, { "code": "bg", "lang": "Bulgarian", "roman": "cjalosten", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "цялостен" }, { "code": "yue", "lang": "Chinese Cantonese", "roman": "jyun⁴ zing² ge³", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "完整嘅" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "wánzhěng de", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "完整的" }, { "code": "cs", "lang": "Czech", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "nedílný" }, { "code": "nl", "lang": "Dutch", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integraal" }, { "code": "eo", "lang": "Esperanto", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integra" }, { "code": "fi", "lang": "Finnish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "olennainen" }, { "code": "fi", "lang": "Finnish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "kokonaisuuteen kuuluva" }, { "code": "de", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "code": "de", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "ein Ganzes ausmachend" }, { "code": "de", "english": "descriptive", "lang": "German", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "zur Erhaltung des Ganzen unentbehrlich" }, { "code": "el", "lang": "Greek", "roman": "anapóspastos", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "αναπόσπαστος" }, { "code": "he", "lang": "Hebrew", "roman": "integráli", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "אִינְטֶגְרָלִי" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "интегралды" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "интегралдық" }, { "code": "km", "lang": "Khmer", "roman": "dael teang srong", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "ដែលទាំងស្រុង" }, { "code": "gv", "lang": "Manx", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "slane" }, { "code": "pl", "lang": "Polish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "jednolity" }, { "code": "pl", "lang": "Polish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integralny" }, { "code": "pt", "lang": "Portuguese", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "code": "ro", "lang": "Romanian", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "integral" }, { "code": "ru", "lang": "Russian", "roman": "neotʺjémlemyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неотъе́млемый" }, { "code": "ru", "lang": "Russian", "roman": "nedelímyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "недели́мый" }, { "code": "ru", "lang": "Russian", "roman": "neotdelímyj", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "неотдели́мый" }, { "code": "sv", "lang": "Swedish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "hel" }, { "code": "sv", "lang": "Swedish", "sense": "constituting a whole together with other parts or factors; not omittable or removable", "word": "enhetlig" }, { "code": "ar", "lang": "Arabic", "roman": "takāmul", "sense": "math: of, pertaining to, or being an integer", "tags": [ "masculine" ], "word": "تَكَامُل" }, { "code": "ba", "lang": "Bashkir", "roman": "bötön hanlı", "sense": "math: of, pertaining to, or being an integer", "word": "бөтөн һанлы" }, { "code": "cs", "lang": "Czech", "sense": "math: of, pertaining to, or being an integer", "word": "celočíselný" }, { "code": "nl", "lang": "Dutch", "sense": "math: of, pertaining to, or being an integer", "word": "geheel" }, { "code": "eo", "lang": "Esperanto", "sense": "math: of, pertaining to, or being an integer", "word": "entjera" }, { "code": "fi", "lang": "Finnish", "sense": "math: of, pertaining to, or being an integer", "word": "kokonaisluku-" }, { "code": "fr", "lang": "French", "sense": "math: of, pertaining to, or being an integer", "word": "intégral" }, { "code": "de", "lang": "German", "sense": "math: of, pertaining to, or being an integer", "word": "ganzzahlig" }, { "code": "el", "lang": "Greek", "roman": "akéraios", "sense": "math: of, pertaining to, or being an integer", "tags": [ "masculine" ], "word": "ακέραιος" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "math: of, pertaining to, or being an integer", "word": "интегралды" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "math: of, pertaining to, or being an integer", "word": "интегралдық" }, { "code": "gv", "lang": "Manx", "sense": "math: of, pertaining to, or being an integer", "word": "slane-earrooagh" }, { "code": "pt", "lang": "Portuguese", "sense": "math: of, pertaining to, or being an integer", "word": "inteiro" }, { "code": "ro", "lang": "Romanian", "sense": "math: of, pertaining to, or being an integer", "word": "integral" }, { "code": "ru", "lang": "Russian", "roman": "celočíslennyj", "sense": "math: of, pertaining to, or being an integer", "word": "целочи́сленный" }, { "code": "es", "lang": "Spanish", "sense": "math: of, pertaining to, or being an integer", "word": "entero" }, { "code": "sv", "lang": "Swedish", "sense": "math: of, pertaining to, or being an integer", "word": "compounds with heltal" }, { "code": "tl", "lang": "Tagalog", "sense": "math: of, pertaining to, or being an integer", "word": "buumbilangin" }, { "code": "bg", "lang": "Bulgarian", "roman": "integralen", "sense": "math: relating to integration", "word": "интегрален" }, { "code": "eo", "lang": "Esperanto", "sense": "math: relating to integration", "word": "integrala" }, { "code": "fi", "lang": "Finnish", "sense": "math: relating to integration", "word": "integraali-" }, { "code": "fr", "lang": "French", "sense": "math: relating to integration", "word": "intégral" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldy", "sense": "math: relating to integration", "word": "интегралды" }, { "code": "kk", "lang": "Kazakh", "roman": "integraldyq", "sense": "math: relating to integration", "word": "интегралдық" }, { "code": "es", "lang": "Spanish", "sense": "math: relating to integration", "word": "integral" } ], "word": "integral" } { "categories": [ "English 3-syllable words", "English adjectives", "English countable nouns", "English entries with incorrect language header", "English entries with language name categories using raw markup", "English entries with topic categories using raw markup", "English heteronyms", "English lemmas", "English nouns", "English terms borrowed from Middle French", "English terms derived from Latin", "English terms derived from Medieval Latin", "English terms derived from Middle French", "English terms with IPA pronunciation", "English terms with audio links", "Requests for review of Hungarian translations", "Requests for review of Manx translations", "en:Calculus", "en:Functions" ], "derived": [ { "word": "Barnes integral" }, { "word": "Choquet integral" }, { "word": "contour integral" }, { "word": "definite integral" }, { "word": "half-integral" }, { "word": "Hellinger integral" }, { "word": "improper integral" }, { "word": "indefinite integral" }, { "word": "integral calculus" }, { "word": "integral equation" }, { "word": "integral theory" }, { "word": "integral transform" }, { "word": "integration" }, { "word": "iterated integral" }, { "word": "Jackson integral" }, { "word": "Lebesgue integral" }, { "word": "line integral" }, { "word": "logarithmic integral" }, { "word": "Mellin-Barnes integral" }, { "word": "ordered integral domain" }, { "word": "particular integral" }, { "word": "path integral formalism" }, { "word": "Riemann integral" }, { "word": "Riemann-Stieltjes integral" }, { "word": "Sugeno integral" }, { "word": "surface integral" }, { "word": "Volterra integral equation" }, { "word": "volume integral" } ], "etymology_templates": [ { "args": { "1": "en", "2": "frm", "3": "integral" }, "expansion": "Middle French integral", "name": "bor" }, { "args": { "1": "en", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "der" }, { "args": { "1": "en", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Middle French integral, from Medieval Latin integrālis, from Latin integer (“entire”); see integer.", "forms": [ { "form": "integrals", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral (plural integrals)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "integer" } ], "senses": [ { "categories": [ "English terms with usage examples", "en:Mathematics" ], "examples": [ { "text": "The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!", "type": "example" } ], "glosses": [ "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof." ], "links": [ [ "mathematics", "mathematics" ], [ "operations", "operations" ], [ "calculus", "calculus" ], [ "differentiation", "differentiation" ], [ "function", "function" ], [ "displacement", "displacement" ], [ "area", "area" ], [ "volume", "volume" ], [ "infinitesimal", "infinitesimal" ], [ "limiting", "limit" ], [ "sequence", "sequence" ], [ "partial sum", "partial sum" ], [ "long s", "long s" ], [ "∫", "∫" ] ], "raw_glosses": [ "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof." ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "English terms with usage examples", "en:Mathematics" ], "glosses": [ "One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.", "Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc." ], "links": [ [ "mathematics", "mathematics" ], [ "operations", "operations" ], [ "calculus", "calculus" ], [ "differentiation", "differentiation" ], [ "function", "function" ], [ "displacement", "displacement" ], [ "area", "area" ], [ "volume", "volume" ], [ "infinitesimal", "infinitesimal" ], [ "limiting", "limit" ], [ "sequence", "sequence" ], [ "partial sum", "partial sum" ], [ "long s", "long s" ], [ "∫", "∫" ], [ "analytic", "analysis" ], [ "formalization", "formalization" ], [ "Riemann integral", "Riemann integral" ], [ "Lebesgue integral", "Lebesgue integral" ] ], "raw_glosses": [ "(mathematics) One of the two fundamental operations of calculus (the other being differentiation), whereby a function's displacement, area, volume, or other qualities arising from the study of infinitesimal change are quantified, usually defined as a limiting process on a sequence of partial sums. Denoted using a long s: ∫, or a variant thereof.", "(specifically) Any of several analytic formalizations of this operation: the Riemann integral, the Lebesgue integral, etc." ], "tags": [ "specifically" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "English terms with usage examples", "en:Mathematics" ], "examples": [ { "text": "The integral of #x5C;frac#x7B;1#x7D;#x7B;x#x7D; on #x5B;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;,1#x5D; is #x5C;ln(2), but the integral of the same function on (0,1#x5D; diverges. In notation, #x5C;int#x5F;#x5C;frac#x7B;1#x7D;#x7B;2#x7D;¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;ln(2), but #x5C;int#x5F;0¹#x5C;frac#x7B;1#x7D;#x7B;x#x7D;dx#x3D;#x5C;infty.", "type": "example" }, { "text": "Stokes' theorem relates the integral over a surface of the curl of a vector field to a line integral around the boundary of that surface: #x5C;int#x5F;S#x5C;nabla#x5C;times#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;S#x7D;#x3D;#x5C;int#x5F;#x7B;#x5C;partialS#x7D;#x5C;mathbf#x7B;F#x7D;#x5C;cdotd#x5C;mathbf#x7B;r#x7D;,.", "type": "example" } ], "glosses": [ "A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign." ], "links": [ [ "mathematics", "mathematics" ], [ "definite integral", "definite integral" ], [ "application", "application" ], [ "subset", "subset" ], [ "domain", "domain" ], [ "number", "number" ], [ "positive", "positive" ], [ "negative", "negative" ], [ "infinity", "infinity" ], [ "finite", "finite" ], [ "converge", "converge" ], [ "diverge", "diverge" ], [ "interval", "interval" ], [ "integrand", "integrand" ], [ "differential form", "differential form" ] ], "raw_glosses": [ "(mathematics) A definite integral: the result of the application of such an operation onto a function and a suitable subset of the function's domain: either a number or positive or negative infinity. In the former case, the integral is said to be finite or to converge; in the latter, the integral is said to diverge. In notation, the domain of integration is indicated either below the sign, or, if it is an interval, with its endpoints as sub- and super-scripts, and the function being integrated forming part of the integrand (or, generally, differential form) appearing in front of the integral sign." ], "topics": [ "mathematics", "sciences" ] }, { "antonyms": [ { "word": "derivative" } ], "categories": [ "English terms with usage examples", "en:Mathematics" ], "examples": [ { "text": "The integral of x² is #x5C;frac#x7B;x³#x7D;#x7B;3#x7D; plus a constant.", "type": "example" } ], "glosses": [ "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;" ], "links": [ [ "mathematics", "mathematics" ], [ "indefinite integral", "indefinite integral" ], [ "indefinite", "indefinite" ], [ "antiderivative", "antiderivative" ] ], "raw_glosses": [ "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;" ], "synonyms": [ { "word": "antiderivative" }, { "word": "indefinite integral" }, { "word": "∫" } ], "topics": [ "mathematics", "sciences" ] }, { "antonyms": [ { "word": "derivative" } ], "categories": [ "English terms with usage examples", "en:Mathematics" ], "glosses": [ "An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;", "The fluent of a given fluxion in Newtonian calculus." ], "links": [ [ "mathematics", "mathematics" ], [ "indefinite integral", "indefinite integral" ], [ "indefinite", "indefinite" ], [ "antiderivative", "antiderivative" ], [ "fluent", "fluent" ], [ "fluxion", "fluxion" ], [ "Newtonian", "Newtonian" ] ], "raw_glosses": [ "(mathematics) An indefinite integral: the result of the application of such an operation onto a function together with an indefinite domain, yielding a function; a function's antiderivative;", "(mathematics, historical or obsolete) The fluent of a given fluxion in Newtonian calculus." ], "synonyms": [ { "word": "antiderivative" }, { "word": "indefinite integral" }, { "word": "∫" } ], "tags": [ "historical", "obsolete" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ˈɪntɪɡɹ(ə)l/", "tags": [ "UK" ] }, { "ipa": "/ˈɪntəɡɹəl/", "tags": [ "US" ] }, { "ipa": "/ɪnˈtɛɡɹəl/", "tags": [ "US" ] } ], "translations": [ { "code": "hy", "lang": "Armenian", "roman": "integral", "sense": "limit of sums", "word": "ինտեգրալ" }, { "code": "be", "lang": "Belarusian", "roman": "intehrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "інтэгра́л" }, { "code": "bg", "lang": "Bulgarian", "roman": "integrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "интегра́л" }, { "code": "ca", "lang": "Catalan", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integració" }, { "code": "yue", "lang": "Chinese Cantonese", "sense": "limit of sums", "word": "積分" }, { "code": "yue", "lang": "Chinese Cantonese", "roman": "zik¹ fan¹", "sense": "limit of sums", "word": "积分" }, { "code": "hak", "lang": "Hakka Chinese", "sense": "limit of sums", "word": "chit-fûn-ho̍k" }, { "code": "cmn", "lang": "Chinese Mandarin", "sense": "limit of sums", "word": "積分" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "jī fēn", "sense": "limit of sums", "word": "积分" }, { "code": "cs", "lang": "Czech", "sense": "limit of sums", "tags": [ "masculine" ], "word": "integrál" }, { "code": "nl", "lang": "Dutch", "sense": "limit of sums", "word": "integraal" }, { "code": "eo", "lang": "Esperanto", "sense": "limit of sums", "word": "integralo" }, { "code": "eo", "lang": "Esperanto", "sense": "limit of sums", "word": "integro" }, { "code": "fi", "lang": "Finnish", "sense": "limit of sums", "word": "integraali" }, { "code": "fr", "lang": "French", "sense": "limit of sums", "tags": [ "feminine" ], "word": "intégrale" }, { "code": "ka", "lang": "Georgian", "roman": "inṭegrali", "sense": "limit of sums", "word": "ინტეგრალი" }, { "code": "de", "lang": "German", "sense": "limit of sums", "tags": [ "neuter" ], "word": "Integral" }, { "code": "el", "lang": "Greek", "roman": "oloklíroma", "sense": "limit of sums", "tags": [ "neuter" ], "word": "ολοκλήρωμα" }, { "code": "he", "lang": "Hebrew", "roman": "integrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "אִינְטֶגְרָל" }, { "code": "he", "english": "Academy of the Hebrew Language", "lang": "Hebrew", "roman": "askémet", "sense": "limit of sums", "tags": [ "feminine" ], "word": "אַסְכֶּמֶת" }, { "code": "hu", "lang": "Hungarian", "sense": "limit of sums", "word": "integrál" }, { "code": "is", "lang": "Icelandic", "sense": "limit of sums", "tags": [ "feminine" ], "word": "heildun" }, { "code": "is", "lang": "Icelandic", "sense": "limit of sums", "tags": [ "feminine" ], "word": "tegrun" }, { "code": "it", "lang": "Italian", "sense": "limit of sums", "tags": [ "masculine" ], "word": "integrale" }, { "alt": "せきぶん", "code": "ja", "lang": "Japanese", "roman": "sekibun", "sense": "limit of sums", "word": "積分" }, { "code": "kk", "lang": "Kazakh", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "code": "km", "lang": "Khmer", "roman": "ʼangteekraal", "sense": "limit of sums", "word": "អាំងតេក្រាល" }, { "code": "ko", "lang": "Korean", "roman": "jeokbun", "sense": "limit of sums", "word": "적분" }, { "code": "ky", "lang": "Kyrgyz", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "code": "ms", "lang": "Malay", "sense": "limit of sums", "word": "kamiran" }, { "code": "gv", "lang": "Manx", "sense": "limit of sums", "tags": [ "masculine" ], "word": "co-hym" }, { "code": "mn", "lang": "Mongolian", "roman": "integral", "sense": "limit of sums", "word": "интеграл" }, { "code": "no", "lang": "Norwegian", "sense": "limit of sums", "tags": [ "neuter" ], "word": "integral" }, { "code": "pl", "lang": "Polish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "całka" }, { "code": "pl", "lang": "Polish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "całka oznaczona" }, { "code": "pt", "lang": "Portuguese", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integral" }, { "code": "ro", "lang": "Romanian", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integrală" }, { "code": "ru", "lang": "Russian", "roman": "intɛgrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "интегра́л" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "limit of sums", "tags": [ "Cyrillic", "masculine" ], "word": "интѐгра̄л" }, { "code": "sh", "lang": "Serbo-Croatian", "sense": "limit of sums", "tags": [ "Roman", "masculine" ], "word": "intègrāl" }, { "code": "es", "lang": "Spanish", "sense": "limit of sums", "tags": [ "feminine" ], "word": "integral" }, { "code": "su", "lang": "Sundanese", "sense": "limit of sums", "word": "integral" }, { "code": "sv", "lang": "Swedish", "sense": "limit of sums", "tags": [ "common-gender" ], "word": "integral" }, { "code": "tl", "lang": "Tagalog", "sense": "limit of sums", "word": "lagom" }, { "code": "th", "lang": "Thai", "sense": "limit of sums", "word": "ปริพันธ์" }, { "code": "tr", "lang": "Turkish", "sense": "limit of sums", "word": "integral" }, { "code": "uk", "lang": "Ukrainian", "roman": "intehrál", "sense": "limit of sums", "tags": [ "masculine" ], "word": "інтегра́л" }, { "code": "vi", "lang": "Vietnamese", "sense": "limit of sums", "word": "tích phân" } ], "wikipedia": [ "integral" ], "word": "integral" } { "categories": [ "Middle French adjectives", "Middle French entries with incorrect language header", "Middle French lemmas", "Middle French terms borrowed from Medieval Latin", "Middle French terms derived from Latin", "Middle French terms derived from Medieval Latin" ], "descendants": [ { "depth": 1, "templates": [ { "args": { "1": "fr", "2": "intégral" }, "expansion": "French: intégral", "name": "desc" } ], "text": "French: intégral" } ], "etymology_templates": [ { "args": { "1": "frm", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "frm", "2": "la", "3": "integer" }, "expansion": "Latin integer", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer.", "forms": [ { "form": "integrale", "tags": [ "feminine", "singular" ] }, { "form": "integraux", "tags": [ "masculine", "plural" ] }, { "form": "integrales", "tags": [ "feminine", "plural" ] } ], "head_templates": [ { "args": { "1": "frm", "10": "{{{mp2}}}", "11": "feminine plural", "12": "integrales", "2": "adjective", "3": "", "4": "integraux", "5": "feminine singular", "6": "integrale", "7": "masculine plural", "8": "integraux", "9": "", "f1accel-form": "p", "f2accel-form": "f|s", "f3accel-form": "m|p", "f5accel-form": "f|p", "g": "m", "g2": "", "head": "" }, "expansion": "integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)", "name": "head" }, { "args": { "1": "integrale", "2": "integraux", "3": "integrales" }, "expansion": "integral m (feminine singular integrale, masculine plural integraux, feminine plural integrales)", "name": "frm-adj" } ], "lang": "Middle French", "lang_code": "frm", "pos": "adj", "senses": [ { "glosses": [ "integral, necessary to the function of the whole" ], "links": [ [ "integral", "integral#English" ] ], "tags": [ "masculine" ] }, { "glosses": [ "whole; entire" ], "links": [ [ "whole", "whole" ], [ "entire", "entire" ] ], "tags": [ "masculine" ] } ], "word": "integral" } { "categories": [ "Portuguese 3-syllable words", "Portuguese 4-syllable words", "Portuguese adjectives", "Portuguese countable nouns", "Portuguese entries with incorrect language header", "Portuguese feminine nouns", "Portuguese lemmas", "Portuguese masculine nouns", "Portuguese nouns", "Portuguese nouns with multiple genders", "Portuguese terms borrowed from Medieval Latin", "Portuguese terms derived from Latin", "Portuguese terms derived from Medieval Latin", "Portuguese terms with IPA pronunciation", "Rhymes:Portuguese/al", "Rhymes:Portuguese/al/3 syllables", "Rhymes:Portuguese/aw", "Rhymes:Portuguese/aw/3 syllables" ], "derived": [ { "word": "integralmente" } ], "etymology_templates": [ { "args": { "1": "pt", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "pt", "2": "la", "3": "integer", "t": "entire; untouched" }, "expansion": "Latin integer (“entire; untouched”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire; untouched”).", "forms": [ { "form": "integrais", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (plural integrais)", "name": "pt-adj" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Portuguese", "lang_code": "pt", "pos": "adj", "senses": [ { "glosses": [ "integral; whole; entire" ], "links": [ [ "integral", "integral#English" ], [ "whole", "whole" ], [ "entire", "entire" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "whole (from which none of its constituents has been removed)" ], "links": [ [ "whole", "whole" ] ], "raw_glosses": [ "(of food) whole (from which none of its constituents has been removed)" ], "raw_tags": [ "of food" ], "tags": [ "feminine", "masculine" ] } ], "sounds": [ { "ipa": "/ĩ.teˈɡɾaw/", "tags": [ "Brazil" ] }, { "ipa": "[ĩ.teˈɡɾaʊ̯]", "tags": [ "Brazil" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾa.li/", "tags": [ "Portugal", "Southern" ] }, { "ipa": "[ĩ.tɨˈɣɾa.li]", "tags": [ "Portugal", "Southern" ] }, { "rhymes": "-al" }, { "rhymes": "-aw" } ], "synonyms": [ { "sense": "whole", "word": "completo" }, { "sense": "whole", "word": "íntegro" }, { "sense": "whole", "word": "inteiro" }, { "sense": "whole", "word": "intacto" }, { "sense": "whole", "word": "total" } ], "word": "integral" } { "categories": [ "Portuguese 3-syllable words", "Portuguese 4-syllable words", "Portuguese adjectives", "Portuguese countable nouns", "Portuguese entries with incorrect language header", "Portuguese feminine nouns", "Portuguese lemmas", "Portuguese masculine nouns", "Portuguese nouns", "Portuguese nouns with multiple genders", "Portuguese terms borrowed from Medieval Latin", "Portuguese terms derived from Latin", "Portuguese terms derived from Medieval Latin", "Portuguese terms with IPA pronunciation", "Rhymes:Portuguese/al", "Rhymes:Portuguese/al/3 syllables", "Rhymes:Portuguese/aw", "Rhymes:Portuguese/aw/3 syllables" ], "etymology_templates": [ { "args": { "1": "pt", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "pt", "2": "la", "3": "integer", "t": "entire; untouched" }, "expansion": "Latin integer (“entire; untouched”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire; untouched”).", "forms": [ { "form": "integrais", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f", "g2": "m" }, "expansion": "integral f or m (plural integrais)", "name": "pt-noun" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Portuguese", "lang_code": "pt", "pos": "noun", "related": [ { "word": "integrado" }, { "word": "integrar" }, { "word": "íntegro" } ], "senses": [ { "categories": [ "pt:Mathematics" ], "glosses": [ "integral (limits of sums)" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral (limits of sums)" ], "tags": [ "feminine", "masculine" ], "topics": [ "mathematics", "sciences" ] }, { "categories": [ "pt:Mathematics" ], "glosses": [ "antiderivative" ], "links": [ [ "mathematics", "mathematics" ], [ "antiderivative", "antiderivative" ] ], "raw_glosses": [ "(mathematics) antiderivative" ], "synonyms": [ { "word": "antiderivada" } ], "tags": [ "feminine", "masculine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ĩ.teˈɡɾaw/", "tags": [ "Brazil" ] }, { "ipa": "[ĩ.teˈɡɾaʊ̯]", "tags": [ "Brazil" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾal/", "tags": [ "Portugal" ] }, { "ipa": "[ĩ.tɨˈɣɾaɫ]", "tags": [ "Portugal" ] }, { "ipa": "/ĩ.tɨˈɡɾa.li/", "tags": [ "Portugal", "Southern" ] }, { "ipa": "[ĩ.tɨˈɣɾa.li]", "tags": [ "Portugal", "Southern" ] }, { "rhymes": "-al" }, { "rhymes": "-aw" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "ro", "2": "fr", "3": "intégral", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "French intégral", "name": "bor" }, { "args": { "1": "ro", "2": "fr", "3": "intégral" }, "expansion": "Borrowed from French intégral", "name": "bor+" }, { "args": { "1": "ro", "2": "ML.", "3": "integrālis" }, "expansion": "Medieval Latin integrālis", "name": "bor" } ], "etymology_text": "Borrowed from French intégral, Medieval Latin integrālis.", "forms": [ { "form": "integrală", "tags": [ "feminine", "singular" ] }, { "form": "integrali", "tags": [ "masculine", "plural" ] }, { "form": "integrale", "tags": [ "feminine", "neuter", "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "ro-adj-4", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "accusative", "indefinite", "masculine", "neuter", "nominative", "singular" ] }, { "form": "integrală", "source": "declension", "tags": [ "accusative", "feminine", "indefinite", "nominative", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "accusative", "indefinite", "masculine", "nominative", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "accusative", "feminine", "indefinite", "neuter", "nominative", "plural" ] }, { "form": "integralul", "source": "declension", "tags": [ "accusative", "definite", "masculine", "neuter", "nominative", "singular" ] }, { "form": "integrala", "source": "declension", "tags": [ "accusative", "definite", "feminine", "nominative", "singular" ] }, { "form": "integralii", "source": "declension", "tags": [ "accusative", "definite", "masculine", "nominative", "plural" ] }, { "form": "integralele", "source": "declension", "tags": [ "accusative", "definite", "feminine", "neuter", "nominative", "plural" ] }, { "form": "integral", "source": "declension", "tags": [ "dative", "genitive", "indefinite", "masculine", "neuter", "singular" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "feminine", "genitive", "indefinite", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "dative", "genitive", "indefinite", "masculine", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "feminine", "genitive", "indefinite", "neuter", "plural" ] }, { "form": "integralului", "source": "declension", "tags": [ "dative", "definite", "genitive", "masculine", "neuter", "singular" ] }, { "form": "integralei", "source": "declension", "tags": [ "dative", "definite", "feminine", "genitive", "singular" ] }, { "form": "integralelor", "source": "declension", "tags": [ "dative", "definite", "genitive", "masculine", "plural" ] }, { "form": "integralilor", "source": "declension", "tags": [ "dative", "definite", "feminine", "genitive", "neuter", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or n (feminine singular integrală, masculine plural integrali, feminine and neuter plural integrale)", "name": "ro-adj" } ], "inflection_templates": [ { "args": { "1": "integral", "10": "integralei", "11": "integralelor", "12": "integralilor", "2": "integrală", "3": "integrali", "4": "integrale", "5": "integralul", "6": "integrala", "7": "integralii", "8": "integralele", "9": "integralului" }, "name": "ro-decl-adj" } ], "lang": "Romanian", "lang_code": "ro", "pos": "adj", "related": [ { "word": "integru" } ], "senses": [ { "categories": [ "Romanian adjectives", "Romanian entries with incorrect language header", "Romanian lemmas", "Romanian terms borrowed from French", "Romanian terms borrowed from Medieval Latin", "Romanian terms derived from French", "Romanian terms derived from Medieval Latin", "Romanian terms with IPA pronunciation" ], "glosses": [ "integral" ], "links": [ [ "integral", "integral#English" ] ], "synonyms": [ { "word": "întreg" }, { "word": "complet" } ], "tags": [ "masculine", "neuter" ] } ], "sounds": [ { "ipa": "/in.teˈɡral/" } ], "word": "integral" } { "categories": [ "Rhymes:Spanish/al", "Rhymes:Spanish/al/3 syllables", "Spanish 3-syllable words", "Spanish adjectives", "Spanish countable nouns", "Spanish entries with incorrect language header", "Spanish epicene adjectives", "Spanish feminine nouns", "Spanish lemmas", "Spanish nouns", "Spanish terms borrowed from Medieval Latin", "Spanish terms derived from Latin", "Spanish terms derived from Medieval Latin", "Spanish terms with IPA pronunciation", "Spanish terms with audio links" ], "derived": [ { "word": "arroz integral" }, { "word": "cálculo integral" }, { "word": "integralidad" }, { "word": "integralmente" }, { "word": "pan integral" }, { "word": "parte integral" } ], "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "es", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire”).", "forms": [ { "form": "integrales", "tags": [ "feminine", "masculine", "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "integral m or f (masculine and feminine plural integrales)", "name": "es-adj" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Spanish", "lang_code": "es", "pos": "adj", "related": [ { "word": "íntegro" } ], "senses": [ { "glosses": [ "integral" ], "links": [ [ "integral", "integral#English" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "whole" ], "links": [ [ "whole", "whole" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "brown (rice)" ], "links": [ [ "brown", "brown" ] ], "tags": [ "feminine", "masculine" ] }, { "glosses": [ "wholegrain" ], "links": [ [ "wholegrain", "wholegrain" ] ], "tags": [ "feminine", "masculine" ] } ], "sounds": [ { "ipa": "/inteˈɡɾal/" }, { "ipa": "[ĩn̪.t̪eˈɣ̞ɾal]" }, { "rhymes": "-al" } ], "word": "integral" } { "categories": [ "Rhymes:Spanish/al", "Rhymes:Spanish/al/3 syllables", "Spanish 3-syllable words", "Spanish adjectives", "Spanish countable nouns", "Spanish entries with incorrect language header", "Spanish epicene adjectives", "Spanish feminine nouns", "Spanish lemmas", "Spanish nouns", "Spanish terms borrowed from Medieval Latin", "Spanish terms derived from Latin", "Spanish terms derived from Medieval Latin", "Spanish terms with IPA pronunciation", "Spanish terms with audio links" ], "etymology_templates": [ { "args": { "1": "loanword", "2": "Borrowed" }, "expansion": "Borrowed", "name": "glossary" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis", "4": "", "5": "", "g": "", "g2": "", "g3": "", "id": "", "lit": "", "nocat": "", "pos": "", "sc": "", "sort": "", "tr": "", "ts": "" }, "expansion": "Medieval Latin integrālis", "name": "bor" }, { "args": { "1": "es", "2": "ML.", "3": "integrālis" }, "expansion": "Borrowed from Medieval Latin integrālis", "name": "bor+" }, { "args": { "1": "es", "2": "la", "3": "integer", "t": "entire" }, "expansion": "Latin integer (“entire”)", "name": "der" } ], "etymology_text": "Borrowed from Medieval Latin integrālis, from Latin integer (“entire”).", "forms": [ { "form": "integrales", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "f" }, "expansion": "integral f (plural integrales)", "name": "es-noun" } ], "hyphenation": [ "in‧te‧gral" ], "lang": "Spanish", "lang_code": "es", "pos": "noun", "senses": [ { "categories": [ "es:Mathematics" ], "glosses": [ "integral" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "feminine" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/inteˈɡɾal/" }, { "ipa": "[ĩn̪.t̪eˈɣ̞ɾal]" }, { "rhymes": "-al" } ], "word": "integral" } { "forms": [ { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "sv-infl-noun-c-er", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "indefinite", "nominative", "singular" ] }, { "form": "integralen", "source": "declension", "tags": [ "definite", "nominative", "singular" ] }, { "form": "integraler", "source": "declension", "tags": [ "indefinite", "nominative", "plural" ] }, { "form": "integralerna", "source": "declension", "tags": [ "definite", "nominative", "plural" ] }, { "form": "integrals", "source": "declension", "tags": [ "genitive", "indefinite", "singular" ] }, { "form": "integralens", "source": "declension", "tags": [ "definite", "genitive", "singular" ] }, { "form": "integralers", "source": "declension", "tags": [ "genitive", "indefinite", "plural" ] }, { "form": "integralernas", "source": "declension", "tags": [ "definite", "genitive", "plural" ] } ], "head_templates": [ { "args": { "1": "sv", "2": "nouns", "3": "", "g": "c", "g2": "", "head": "", "sort": "" }, "expansion": "integral c", "name": "head" }, { "args": { "1": "c" }, "expansion": "integral c", "name": "sv-noun" } ], "inflection_templates": [ { "args": {}, "name": "sv-infl-noun-c-er" } ], "lang": "Swedish", "lang_code": "sv", "pos": "noun", "senses": [ { "categories": [ "Swedish common-gender nouns", "Swedish entries with incorrect language header", "Swedish lemmas", "Swedish nouns", "Swedish terms with IPA pronunciation", "sv:Mathematics" ], "glosses": [ "integral" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "tags": [ "common-gender" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "/ɪntɛˈɡraːl/" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "tl", "2": "es", "3": "integral" }, "expansion": "Spanish integral", "name": "bor" } ], "etymology_text": "Borrowed from Spanish integral.", "forms": [ { "form": "integrál", "tags": [ "canonical" ] }, { "form": "ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔", "tags": [ "Baybayin" ] } ], "head_templates": [ { "args": { "1": "integrál", "b": "+" }, "expansion": "integrál (Baybayin spelling ᜁᜈ᜔ᜆᜒᜄ᜔ᜇᜎ᜔)", "name": "tl-adj" } ], "hyphenation": [ "in‧teg‧ral" ], "lang": "Tagalog", "lang_code": "tl", "pos": "adj", "related": [ { "word": "integrasyon" }, { "word": "integrante" } ], "senses": [ { "categories": [ "Tagalog 3-syllable words", "Tagalog adjectives", "Tagalog entries with incorrect language header", "Tagalog lemmas", "Tagalog terms borrowed from Spanish", "Tagalog terms derived from Spanish", "Tagalog terms with Baybayin script", "Tagalog terms with IPA pronunciation", "Tagalog terms with missing Baybayin script entries", "Tagalog terms without tl-pr template" ], "glosses": [ "integral" ], "links": [ [ "integral", "integral#English" ] ], "synonyms": [ { "word": "buo" }, { "word": "kompleto" } ] } ], "sounds": [ { "ipa": "/ʔinteɡˈɾal/" }, { "ipa": "[ʔɪn.tɛɡˈɾal]" } ], "word": "integral" } { "etymology_templates": [ { "args": { "1": "tr", "2": "fr", "3": "intégral" }, "expansion": "French intégral", "name": "bor" } ], "etymology_text": "Borrowed from French intégral.", "forms": [ { "form": "integrali", "tags": [ "accusative", "definite" ] }, { "form": "integraller", "tags": [ "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "tr-infl-noun-c", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integral", "source": "declension", "tags": [ "nominative", "singular" ] }, { "form": "integraller", "source": "declension", "tags": [ "nominative", "plural" ] }, { "form": "integrali", "source": "declension", "tags": [ "accusative", "definite", "singular" ] }, { "form": "integralleri", "source": "declension", "tags": [ "accusative", "definite", "plural" ] }, { "form": "integrale", "source": "declension", "tags": [ "dative", "singular" ] }, { "form": "integrallere", "source": "declension", "tags": [ "dative", "plural" ] }, { "form": "integralde", "source": "declension", "tags": [ "locative", "singular" ] }, { "form": "integrallerde", "source": "declension", "tags": [ "locative", "plural" ] }, { "form": "integralden", "source": "declension", "tags": [ "ablative", "singular" ] }, { "form": "integrallerden", "source": "declension", "tags": [ "ablative", "plural" ] }, { "form": "integralin", "source": "declension", "tags": [ "genitive", "singular" ] }, { "form": "integrallerin", "source": "declension", "tags": [ "genitive", "plural" ] }, { "form": "no-table-tags", "source": "declension", "tags": [ "table-tags" ] }, { "form": "tr-infl-noun-c", "source": "declension", "tags": [ "inflection-template" ] }, { "form": "integralim", "source": "declension", "tags": [ "first-person", "nominative", "singular" ] }, { "form": "integrallerim", "source": "declension", "tags": [ "first-person", "nominative", "singular" ] }, { "form": "integralin", "source": "declension", "tags": [ "nominative", "second-person", "singular" ] }, { "form": "integrallerin", "source": "declension", "tags": [ "nominative", "second-person", "singular" ] }, { "form": "integrali", "source": "declension", "tags": [ "nominative", "singular", "third-person" ] }, { "form": "integralleri", "source": "declension", "tags": [ "nominative", "singular", "third-person" ] }, { "form": "integralimiz", "source": "declension", "tags": [ "first-person", "nominative", "plural" ] }, { "form": "integrallerimiz", "source": "declension", "tags": [ "first-person", "nominative", "plural" ] }, { "form": "integraliniz", "source": "declension", "tags": [ "nominative", "plural", "second-person" ] }, { "form": "integralleriniz", "source": "declension", "tags": [ "nominative", "plural", "second-person" ] }, { "form": "integralleri", "source": "declension", "tags": [ "nominative", "plural", "third-person" ] }, { "form": "integralimi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "singular" ] }, { "form": "integrallerimi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "singular" ] }, { "form": "integralini", "source": "declension", "tags": [ "accusative", "definite", "second-person", "singular" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "second-person", "singular" ] }, { "form": "integralini", "source": "declension", "tags": [ "accusative", "definite", "singular", "third-person" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "singular", "third-person" ] }, { "form": "integralimizi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "plural" ] }, { "form": "integrallerimizi", "source": "declension", "tags": [ "accusative", "definite", "first-person", "plural" ] }, { "form": "integralinizi", "source": "declension", "tags": [ "accusative", "definite", "plural", "second-person" ] }, { "form": "integrallerinizi", "source": "declension", "tags": [ "accusative", "definite", "plural", "second-person" ] }, { "form": "integrallerini", "source": "declension", "tags": [ "accusative", "definite", "plural", "third-person" ] }, { "form": "integralime", "source": "declension", "tags": [ "dative", "first-person", "singular" ] }, { "form": "integrallerime", "source": "declension", "tags": [ "dative", "first-person", "singular" ] }, { "form": "integraline", "source": "declension", "tags": [ "dative", "second-person", "singular" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "second-person", "singular" ] }, { "form": "integraline", "source": "declension", "tags": [ "dative", "singular", "third-person" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "singular", "third-person" ] }, { "form": "integralimize", "source": "declension", "tags": [ "dative", "first-person", "plural" ] }, { "form": "integrallerimize", "source": "declension", "tags": [ "dative", "first-person", "plural" ] }, { "form": "integralinize", "source": "declension", "tags": [ "dative", "plural", "second-person" ] }, { "form": "integrallerinize", "source": "declension", "tags": [ "dative", "plural", "second-person" ] }, { "form": "integrallerine", "source": "declension", "tags": [ "dative", "plural", "third-person" ] }, { "form": "integralimde", "source": "declension", "tags": [ "first-person", "locative", "singular" ] }, { "form": "integrallerimde", "source": "declension", "tags": [ "first-person", "locative", "singular" ] }, { "form": "integralinde", "source": "declension", "tags": [ "locative", "second-person", "singular" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "second-person", "singular" ] }, { "form": "integralinde", "source": "declension", "tags": [ "locative", "singular", "third-person" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "singular", "third-person" ] }, { "form": "integralimizde", "source": "declension", "tags": [ "first-person", "locative", "plural" ] }, { "form": "integrallerimizde", "source": "declension", "tags": [ "first-person", "locative", "plural" ] }, { "form": "integralinizde", "source": "declension", "tags": [ "locative", "plural", "second-person" ] }, { "form": "integrallerinizde", "source": "declension", "tags": [ "locative", "plural", "second-person" ] }, { "form": "integrallerinde", "source": "declension", "tags": [ "locative", "plural", "third-person" ] }, { "form": "integralimden", "source": "declension", "tags": [ "ablative", "first-person", "singular" ] }, { "form": "integrallerimden", "source": "declension", "tags": [ "ablative", "first-person", "singular" ] }, { "form": "integralinden", "source": "declension", "tags": [ "ablative", "second-person", "singular" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "second-person", "singular" ] }, { "form": "integralinden", "source": "declension", "tags": [ "ablative", "singular", "third-person" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "singular", "third-person" ] }, { "form": "integralimizden", "source": "declension", "tags": [ "ablative", "first-person", "plural" ] }, { "form": "integrallerimizden", "source": "declension", "tags": [ "ablative", "first-person", "plural" ] }, { "form": "integralinizden", "source": "declension", "tags": [ "ablative", "plural", "second-person" ] }, { "form": "integrallerinizden", "source": "declension", "tags": [ "ablative", "plural", "second-person" ] }, { "form": "integrallerinden", "source": "declension", "tags": [ "ablative", "plural", "third-person" ] }, { "form": "integralimin", "source": "declension", "tags": [ "first-person", "genitive", "singular" ] }, { "form": "integrallerimin", "source": "declension", "tags": [ "first-person", "genitive", "singular" ] }, { "form": "integralinin", "source": "declension", "tags": [ "genitive", "second-person", "singular" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "second-person", "singular" ] }, { "form": "integralinin", "source": "declension", "tags": [ "genitive", "singular", "third-person" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "singular", "third-person" ] }, { "form": "integralimizin", "source": "declension", "tags": [ "first-person", "genitive", "plural" ] }, { "form": "integrallerimizin", "source": "declension", "tags": [ "first-person", "genitive", "plural" ] }, { "form": "integralinizin", "source": "declension", "tags": [ "genitive", "plural", "second-person" ] }, { "form": "integrallerinizin", "source": "declension", "tags": [ "genitive", "plural", "second-person" ] }, { "form": "integrallerinin", "source": "declension", "tags": [ "genitive", "plural", "third-person" ] } ], "head_templates": [ { "args": { "1": "tr", "2": "noun", "3": "definite accusative", "4": "integrali", "5": "", "6": "", "7": "plural", "8": "integraller", "f1accel-form": "def|acc|s", "f1request": "1", "f3accel-form": "nom|p", "f3request": "1", "head": "", "sort": "" }, "expansion": "integral (definite accusative integrali, plural integraller)", "name": "head" }, { "args": { "1": "i", "2": "ler" }, "expansion": "integral (definite accusative integrali, plural integraller)", "name": "tr-noun" } ], "inflection_templates": [ { "args": { "1": "e", "poss": "1" }, "name": "tr-infl-noun-c" } ], "lang": "Turkish", "lang_code": "tr", "pos": "noun", "senses": [ { "categories": [ "Turkish entries with incorrect language header", "Turkish lemmas", "Turkish nouns", "Turkish terms borrowed from French", "Turkish terms derived from French", "Turkish terms with IPA pronunciation", "tr:Mathematics" ], "examples": [ { "text": "∫ₐᵇ!f(x),dx," } ], "glosses": [ "integral" ], "links": [ [ "mathematics", "mathematics" ], [ "integral", "integral#English" ] ], "raw_glosses": [ "(mathematics) integral" ], "topics": [ "mathematics", "sciences" ] } ], "sounds": [ { "ipa": "[in.tɛɟ.ˈɾalʲ]" } ], "word": "integral" }
{ "called_from": "translations/324", "msg": "possible sense number in translation item: Hungarian: __IGNORE__ (2)", "path": [ "integral" ], "section": "English", "subsection": "adjective", "title": "integral", "trace": "" }
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-04-30 from the enwiktionary dump dated 2024-04-21 using wiktextract (210104c 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.