See calculus of variations on Wiktionary
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a problem of multiple integrals." }, { "ref": "2023, Filippo Santambrogio, A Course in the Calculus of Variations, Springer, page 57:", "text": "On the other hand, we can also consider that the calculus of variations includes all optimization problems where the unknown are functions[…].", "type": "quote" } ], "glosses": [ "The form of calculus that deals with the maxima and minima of definite integrals of functions of many variables." ], "id": "en-calculus_of_variations-en-noun-dJtBxm19", "links": [ [ "calculus", "calculus" ], [ "maxima", "maxima" ], [ "minima", "minima" ], [ "definite integral", "definite integral" ], [ "function", "function" ], [ "variable", "variable" ] ], "raw_glosses": [ "(calculus) The form of calculus that deals with the maxima and minima of definite integrals of functions of many variables." ], "tags": [ "uncountable" ], "topics": [ "calculus", "mathematics", "sciences" ], "translations": [ { "code": "cmn", "lang": "Chinese Mandarin", "sense": "form of calculus", "word": "變分法" }, { "code": "cmn", "lang": "Chinese Mandarin", "roman": "biànfēnfǎ", "sense": "form of calculus", "word": "变分法" }, { "code": "cs", "lang": "Czech", "sense": "form of calculus", "tags": [ "masculine" ], "word": "variační počet" }, { "code": "nl", "lang": "Dutch", "sense": "form of calculus", "tags": [ "feminine" ], "word": "variatierekening" }, { "code": "fi", "lang": "Finnish", "sense": "form of calculus", "word": "variaatiolaskenta" }, { "code": "fr", "lang": "French", "sense": "form of calculus", "tags": [ "masculine" ], "word": "calcul des variations" }, { "code": "de", "lang": "German", "sense": "form of calculus", "tags": [ "feminine" ], "word": "Variationsrechnung" }, { "code": "he", "lang": "Hebrew", "sense": "form of calculus", "word": "חשבון וריאציות" }, { "code": "hu", "lang": "Hungarian", "sense": "form of calculus", "word": "variációszámítás" }, { "code": "is", "lang": "Icelandic", "sense": "form of calculus", "tags": [ "masculine" ], "word": "hnikareikningur" }, { "code": "it", "lang": "Italian", "sense": "form of calculus", "tags": [ "masculine" ], "word": "calcolo delle variazioni" }, { "code": "ja", "lang": "Japanese", "roman": "henbunhō", "sense": "form of calculus", "word": "変分法" }, { "code": "mt", "lang": "Maltese", "sense": "form of calculus", "word": "Kalkulu tal-Varjazzjonijiet" }, { "code": "fa", "lang": "Persian", "sense": "form of calculus", "word": "حسابان وردشها" }, { "code": "pms", "lang": "Piedmontese", "sense": "form of calculus", "word": "càlcol dle variassion" }, { "code": "pl", "lang": "Polish", "sense": "form of calculus", "tags": [ "masculine" ], "word": "rachunek wariacyjny" }, { "code": "pt", "lang": "Portuguese", "sense": "form of calculus", "tags": [ "masculine" ], "word": "cálculo de variações" }, { "code": "ru", "lang": "Russian", "roman": "variaciónnoje isčislénije", "sense": "form of calculus", "word": "вариацио́нное исчисле́ние" }, { "code": "sl", "lang": "Slovene", "sense": "form of calculus", "tags": [ "masculine" ], "word": "variacijski račun" }, { "code": "es", "lang": "Spanish", "sense": "form of calculus", "tags": [ "masculine" ], "word": "cálculo de variaciones" }, { "code": "sv", "lang": "Swedish", "sense": "form of calculus", "tags": [ "common-gender" ], "word": "variationskalkyl" }, { "code": "uk", "lang": "Ukrainian", "roman": "variacijne čyslennja", "sense": "form of calculus", "word": "варіаційне числення" }, { "code": "vi", "lang": "Vietnamese", "sense": "form of calculus", "word": "phép tính biến phân" } ], "wikipedia": [ "calculus of variations" ] } ], "word": "calculus of variations" }
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