calculus of variations en · NOUN
Pronunciation
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Meanings
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(uncountable) The form of calculus that deals with the maxima and minima of definite integrals of functions of many variables.
The next advance was made by Cauchy in a memoir on the calculus of variations published in the third volume of his Exercices d'analyse et de Physique Mathématique, 1844, extending from page 50 to page 130.
1885, Lewis Buffett Carll, A Treatise on the Calculus of Variations, Macmillan and Co., page 550:2004, Bernard Dacorogna, Introduction to the Calculus of Variations, 2nd Edition, Imperial College Press, page 2, In the nineteenth century and in parallel to some of the work that was mentioned above, probably, the most celebrated problem of the calculus of variations emerged, namely the study of the Dirichlet integral; a problem of multiple integrals.
On the other hand, we can also consider that the calculus of variations includes all optimization problems where the unknown are functions[…].
2023, Filippo Santambrogio, A Course in the Calculus of Variations, Springer, page 57:
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| the calculus of variations | canonical | lexicographic |
Translations (27)
sv variationskalkyl (form of calculus) · es cálculo de variaciones (form of calculus) · uk варіаційне числення (form of calculus) · mt Kalkulu tal-Varjazzjonijiet (form of calculus) · et variatsioonarvutus (form of calculus) · it calcolo delle variazioni (form of calculus) · fr calcul des variations (form of calculus) · pl rachunek wariacyjny (form of calculus) · nl variatierekening (form of calculus) · el μεταβολικός λογισμός (form of calculus) · vi phép tính biến phân (form of calculus) · el λογισμός των μεταβολών (form of calculus) · hy վարիացիոն հաշիվ (form of calculus) · is hnikareikningur (form of calculus) · de Variationsrechnung (form of calculus) · ru вариацио́нное исчисле́ние (form of calculus) · hu variációszámítás (form of calculus) · cs variační počet (form of calculus) · pt cálculo de variações (form of calculus) · fa حسابان وردشها (form of calculus) · ko 변분법 (form of calculus) · sl variacijski račun (form of calculus) · fi variaatiolaskenta (form of calculus) · cmn 變分法 /变分法 (form of calculus) · he חשבון וריאציות (form of calculus) · pms càlcol dle variassion (form of calculus) · ja 変分法 (form of calculus)