See integral on Wiktionary
{
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"word": "integral polynomial"
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"word": "integral transformative practice"
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{
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"word": "integral yoga"
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"word": "integrity"
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"word": "semi-integral"
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"args": {
"1": "en",
"2": "frm",
"3": "integral"
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"expansion": "Borrowed from 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"
]
}
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"expansion": "integral (comparative more integral, superlative most integral)",
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"lang_code": "en",
"pos": "adj",
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"word": "integer"
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"_dis1": "0 0 0 0 0",
"word": "integrity"
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"tags": [
"rare"
],
"word": "integrous"
}
],
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"examples": [
{
"ref": "1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, volume (please specify |volume=I to VI), London:",
"text": "Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.",
"type": "quote"
}
],
"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": "79 0 0 0 20",
"code": "ba",
"lang": "Bashkir",
"roman": "ayırılğıhıź",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "айырылғыһыҙ"
},
{
"_dis1": "79 0 0 0 20",
"code": "bg",
"lang": "Bulgarian",
"roman": "nerazdelen",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "неразделен"
},
{
"_dis1": "79 0 0 0 20",
"code": "bg",
"lang": "Bulgarian",
"roman": "cjalosten",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "цялостен"
},
{
"_dis1": "79 0 0 0 20",
"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": "79 0 0 0 20",
"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": "79 0 0 0 20",
"code": "cs",
"lang": "Czech",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "nedílný"
},
{
"_dis1": "79 0 0 0 20",
"code": "nl",
"lang": "Dutch",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integraal"
},
{
"_dis1": "79 0 0 0 20",
"code": "eo",
"lang": "Esperanto",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integra"
},
{
"_dis1": "79 0 0 0 20",
"code": "fi",
"lang": "Finnish",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "olennainen"
},
{
"_dis1": "79 0 0 0 20",
"code": "fi",
"lang": "Finnish",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "kokonaisuuteen kuuluva"
},
{
"_dis1": "79 0 0 0 20",
"code": "de",
"lang": "German",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integral"
},
{
"_dis1": "79 0 0 0 20",
"code": "de",
"lang": "German",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "ein Ganzes ausmachend"
},
{
"_dis1": "79 0 0 0 20",
"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": "79 0 0 0 20",
"code": "el",
"lang": "Greek",
"roman": "anapóspastos",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "αναπόσπαστος"
},
{
"_dis1": "79 0 0 0 20",
"code": "he",
"lang": "Hebrew",
"roman": "integráli",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "אִינְטֶגְרָלִי"
},
{
"_dis1": "79 0 0 0 20",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldy",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "интегралды"
},
{
"_dis1": "79 0 0 0 20",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldyq",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "интегралдық"
},
{
"_dis1": "79 0 0 0 20",
"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": "79 0 0 0 20",
"code": "gv",
"lang": "Manx",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "slane"
},
{
"_dis1": "79 0 0 0 20",
"code": "pl",
"lang": "Polish",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "jednolity"
},
{
"_dis1": "79 0 0 0 20",
"code": "pl",
"lang": "Polish",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integralny"
},
{
"_dis1": "79 0 0 0 20",
"code": "pt",
"lang": "Portuguese",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integral"
},
{
"_dis1": "79 0 0 0 20",
"code": "ro",
"lang": "Romanian",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "integral"
},
{
"_dis1": "79 0 0 0 20",
"code": "ru",
"lang": "Russian",
"roman": "neotʺjémlemyj",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "неотъе́млемый"
},
{
"_dis1": "79 0 0 0 20",
"code": "ru",
"lang": "Russian",
"roman": "nedelímyj",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "недели́мый"
},
{
"_dis1": "79 0 0 0 20",
"code": "ru",
"lang": "Russian",
"roman": "neotdelímyj",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "неотдели́мый"
},
{
"_dis1": "79 0 0 0 20",
"code": "sv",
"lang": "Swedish",
"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "hel"
},
{
"_dis1": "79 0 0 0 20",
"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": "9 50 22 15 4",
"code": "ar",
"lang": "Arabic",
"roman": "takāmul",
"sense": "math: of, pertaining to, or being an integer",
"tags": [
"masculine"
],
"word": "تَكَامُل"
},
{
"_dis1": "9 50 22 15 4",
"code": "ba",
"lang": "Bashkir",
"roman": "bötön hanlı",
"sense": "math: of, pertaining to, or being an integer",
"word": "бөтөн һанлы"
},
{
"_dis1": "9 50 22 15 4",
"code": "cs",
"lang": "Czech",
"sense": "math: of, pertaining to, or being an integer",
"word": "celočíselný"
},
{
"_dis1": "9 50 22 15 4",
"code": "nl",
"lang": "Dutch",
"sense": "math: of, pertaining to, or being an integer",
"word": "geheel"
},
{
"_dis1": "9 50 22 15 4",
"code": "eo",
"lang": "Esperanto",
"sense": "math: of, pertaining to, or being an integer",
"word": "entjera"
},
{
"_dis1": "9 50 22 15 4",
"code": "fi",
"lang": "Finnish",
"sense": "math: of, pertaining to, or being an integer",
"word": "kokonaisluku-"
},
{
"_dis1": "9 50 22 15 4",
"code": "fr",
"lang": "French",
"sense": "math: of, pertaining to, or being an integer",
"word": "intégral"
},
{
"_dis1": "9 50 22 15 4",
"code": "de",
"lang": "German",
"sense": "math: of, pertaining to, or being an integer",
"word": "ganzzahlig"
},
{
"_dis1": "9 50 22 15 4",
"code": "el",
"lang": "Greek",
"roman": "akéraios",
"sense": "math: of, pertaining to, or being an integer",
"tags": [
"masculine"
],
"word": "ακέραιος"
},
{
"_dis1": "9 50 22 15 4",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldy",
"sense": "math: of, pertaining to, or being an integer",
"word": "интегралды"
},
{
"_dis1": "9 50 22 15 4",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldyq",
"sense": "math: of, pertaining to, or being an integer",
"word": "интегралдық"
},
{
"_dis1": "9 50 22 15 4",
"code": "gv",
"lang": "Manx",
"sense": "math: of, pertaining to, or being an integer",
"word": "slane-earrooagh"
},
{
"_dis1": "9 50 22 15 4",
"code": "pt",
"lang": "Portuguese",
"sense": "math: of, pertaining to, or being an integer",
"word": "inteiro"
},
{
"_dis1": "9 50 22 15 4",
"code": "ro",
"lang": "Romanian",
"sense": "math: of, pertaining to, or being an integer",
"word": "integral"
},
{
"_dis1": "9 50 22 15 4",
"code": "ru",
"lang": "Russian",
"roman": "celočíslennyj",
"sense": "math: of, pertaining to, or being an integer",
"word": "целочи́сленный"
},
{
"_dis1": "9 50 22 15 4",
"code": "es",
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"word": "entero"
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{
"_dis1": "9 50 22 15 4",
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"sense": "math: of, pertaining to, or being an integer",
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{
"_dis1": "9 50 22 15 4",
"code": "tl",
"lang": "Tagalog",
"sense": "math: of, pertaining to, or being an integer",
"word": "buumbilangin"
}
]
},
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[
"mathematics",
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[
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[
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{
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"sense": "math: relating to integration",
"word": "интегрален"
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{
"_dis1": "7 7 74 10 2",
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"sense": "math: relating to integration",
"word": "integrala"
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{
"_dis1": "7 7 74 10 2",
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"lang": "Finnish",
"sense": "math: relating to integration",
"word": "integraali-"
},
{
"_dis1": "7 7 74 10 2",
"code": "fr",
"lang": "French",
"sense": "math: relating to integration",
"word": "intégral"
},
{
"_dis1": "7 7 74 10 2",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldy",
"sense": "math: relating to integration",
"word": "интегралды"
},
{
"_dis1": "7 7 74 10 2",
"code": "kk",
"lang": "Kazakh",
"roman": "integraldyq",
"sense": "math: relating to integration",
"word": "интегралдық"
},
{
"_dis1": "7 7 74 10 2",
"code": "es",
"lang": "Spanish",
"sense": "math: relating to integration",
"word": "integral"
}
]
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[
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[
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[
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[
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[
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[
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[
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"sciences"
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"ref": "1627 (indicated as 1626), Francis [Bacon], “(please specify the page, or |century=I to X)”, in Sylua Syluarum: Or A Naturall Historie. In Ten Centuries. […], London: […] William Rawley […]; [p]rinted by J[ohn] H[aviland] for William Lee […], →OCLC:",
"text": "A local motion keepeth bodies integral.",
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"(obsolete) Whole; undamaged."
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{
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{
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},
{
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},
{
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{
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{
"_dis1": "0 0 0 0 0",
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{
"_dis1": "0 0 0 0 0",
"word": "Choquet integral"
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{
"_dis1": "0 0 0 0 0",
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
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{
"_dis1": "0 0 0 0 0",
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{
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{
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{
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{
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{
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{
"_dis1": "0 0 0 0 0",
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{
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},
{
"_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",
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{
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{
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],
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"text": "The integral of a univariate real-valued function is the area under its curve; but be warned! Not all functions are integrable!",
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],
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"entire"
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{
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"word": "integral brick"
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{
"word": "integral closure"
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{
"word": "integral cosmology"
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{
"word": "integral cuboid"
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{
"word": "integral current"
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{
"word": "integral curvature"
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{
"word": "integral curve"
},
{
"word": "integral domain"
},
{
"word": "integral drawing"
},
{
"word": "integral ecology"
},
{
"word": "integral element"
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{
"word": "integral energy"
},
{
"word": "integral extension"
},
{
"word": "integral fast reactor"
},
{
"word": "integral field unit"
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{
"word": "integral function"
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{
"word": "integral geometry"
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{
"word": "integral graph"
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{
"word": "integral homology group"
},
{
"word": "integral kernel"
},
{
"word": "integral membrane protein"
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{
"word": "integral number"
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{
"word": "integral politics"
},
{
"word": "integral polygedron"
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{
"word": "integral polynomial"
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{
"word": "integral post-metaphysics"
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{
"word": "integral psychology"
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{
"word": "integral transformative practice"
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{
"word": "integral yoga"
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{
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{
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"ref": "1692–1717, Robert South, Twelve Sermons Preached upon Several Occasions, volume (please specify |volume=I to VI), London:",
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{
"ref": "1627 (indicated as 1626), Francis [Bacon], “(please specify the page, or |century=I to X)”, in Sylua Syluarum: Or A Naturall Historie. In Ten Centuries. […], London: […] William Rawley […]; [p]rinted by J[ohn] H[aviland] for William Lee […], →OCLC:",
"text": "A local motion keepeth bodies integral.",
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"glosses": [
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"(obsolete) Whole; undamaged."
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"sounds": [
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"ipa": "/ˈɪntɪɡr(ə)l/",
"tags": [
"UK"
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},
{
"ipa": "/ɪnˈtɛɡr(ə)l/",
"tags": [
"UK"
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},
{
"enpr": "ĭn-tĕgʹrəl",
"tags": [
"US"
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},
{
"ipa": "/ˈɪntəɡɹəl/",
"tags": [
"US"
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},
{
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"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"
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{
"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",
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"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "hel"
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{
"code": "sv",
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"sense": "constituting a whole together with other parts or factors; not omittable or removable",
"word": "enhetlig"
},
{
"code": "ar",
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"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",
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"roman": "integraldyq",
"sense": "math: relating to integration",
"word": "интегралдық"
},
{
"code": "es",
"lang": "Spanish",
"sense": "math: relating to integration",
"word": "integral"
}
],
"word": "integral"
}
{
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"en:Calculus",
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"derived": [
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"word": "Barnes integral"
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{
"word": "Choquet integral"
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{
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{
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{
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{
"word": "integral theory"
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{
"word": "integral transform"
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{
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{
"word": "iterated integral"
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{
"word": "Jackson integral"
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{
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{
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{
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{
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{
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{
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{
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{
"word": "Riemann integral"
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{
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{
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{
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{
"word": "Volterra integral equation"
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{
"word": "volume integral"
}
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"(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."
],
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"sciences"
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{
"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;,.",
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"(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."
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"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"
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"code": "bg",
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"roman": "integrál",
"sense": "limit of sums",
"tags": [
"masculine"
],
"word": "интегра́л"
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{
"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"
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"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"
},
{
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"lang": "Czech",
"sense": "limit of sums",
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],
"word": "integrál"
},
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"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"
],
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},
{
"code": "ka",
"lang": "Georgian",
"roman": "inṭegrali",
"sense": "limit of sums",
"word": "ინტეგრალი"
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"lang": "German",
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"code": "el",
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"sense": "limit of sums",
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],
"word": "ολοκλήρωμα"
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{
"code": "he",
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"english": "Academy of the Hebrew Language",
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],
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},
{
"code": "hu",
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"word": "integrál"
},
{
"code": "is",
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{
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"tags": [
"feminine"
],
"word": "tegrun"
},
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"code": "it",
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{
"alt": "せきぶん",
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"word": "積分"
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"word": "អាំងតេក្រាល"
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{
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{
"code": "no",
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"code": "pl",
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{
"code": "pl",
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"word": "całka oznaczona"
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{
"code": "pt",
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"word": "integral"
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"word": "integrală"
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{
"code": "sh",
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{
"code": "sh",
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{
"code": "es",
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"word": "integral"
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"code": "su",
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{
"code": "tl",
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"word": "lagom"
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{
"code": "th",
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"roman": "bpà-rí-pan",
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"word": "ปริพันธ์"
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"code": "tr",
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{
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},
{
"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": "integrante"
},
{
"word": "integrasyon"
}
],
"senses": [
{
"categories": [
"Pages with 11 entries",
"Pages with entries",
"Rhymes:Tagalog/al",
"Rhymes:Tagalog/al/3 syllables",
"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 mabilis pronunciation",
"Tagalog terms with missing Baybayin script entries"
],
"glosses": [
"integral"
],
"links": [
[
"integral",
"integral#English"
]
],
"synonyms": [
{
"word": "buo"
},
{
"word": "kompleto"
}
]
}
],
"sounds": [
{
"ipa": "/ʔinteɡˈɾal/",
"tags": [
"Standard-Tagalog"
]
},
{
"ipa": "[ʔɪn̪.t̪ɛɡˈɾal]",
"tags": [
"Standard-Tagalog"
]
},
{
"rhymes": "-al"
}
],
"word": "integral"
}
{
"etymology_templates": [
{
"args": {
"1": "tr",
"2": "fr",
"3": "intégral"
},
"expansion": "Borrowed from 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": [
"Pages with 11 entries",
"Pages with entries",
"Turkish entries with incorrect language header",
"Turkish lemmas",
"Turkish nouns",
"Turkish terms borrowed from French",
"Turkish terms derived from French",
"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"
}
Download raw JSONL data for integral meaning in All languages combined (66.4kB)
{
"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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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.