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15:53 Mar 13, 2018 |
French to English translations [PRO] Science - Mathematics & Statistics / Licence Sciences, Technologie & Santé Option Mathématiques | |||||
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| Selected response from: Tony M France Local time: 02:45 | ||||
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Summary of answers provided | ||||
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3 +1 | p-order Taylor's theorem with integral remainder |
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Discussion entries: 1 | |
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formule de Taylor à l'ordre p avec reste integral p-order Taylor's theorem with integral remainder Explanation: I am not a maths / statistics specialist, whence the lowish cofnidence level — I have found plenty of references for both parts of the expression separately, but have not dug deeper to find them collocated, so my word-order suggestion is only a guess: usually, 'X-order' anything is a pre-qualifier, though I don't know if that holds good here. Taylor's Theorem - Integral Remainder - Penn Math https://www.math.upenn.edu/~kazdan/361F15/Notes/Taylor-integ... Remark In this version, the error term involves an integral. Because of this, we assume that fk+1 is continuous, whereas previously we only assumed this derivative exists. However, we get the valuable bonus that this integral version of Taylor's theorem does not involve the essentially unknown constant c. This is vital in ... The Integral Form of the Remainder in Taylor's Theorem MATH 141H www.math.umd.edu/~jmr/141/remainder.pdf The Integral Form of the Remainder in Taylor's Theorem. MATH 141H. Jonathan Rosenberg. April 24, 2006. Let f be a smooth function near x = 0. For x close to 0, we can write f(x) in terms of f(0) by using the Fundamental Theorem of Calculus: f(x) = f(0) + ∫ x. 0 f (t) dt. Now integrate by parts, setting u = f (t), du = f (t) dt, v = t ... Théorème de Taylor — Wikipédia https://fr.wikipedia.org/wiki/Théorème_de_Taylor En mathématiques, plus précisément en analyse, le théorème de Taylor (ou formule de Taylor), du nom du mathématicien anglais Brook Taylor qui l'établit en 1715, montre qu'une fonction plusieurs fois dérivable au voisinage d'un point peut être approchée par une fonction polynôme dont les coefficients dépendent ... Formule de Taylor-Young · Formule de Taylor ... · Formule de Taylor avec ... Taylor's theorem - Wikipedia https://en.wikipedia.org/wiki/Taylor's_theorem Explicit formulas for the remainder - for some number ξ between a and x. This version covers the Lagrange and Cauchy forms of the remainder as special cases, and is proved below using Cauchy's mean value theorem. The statement for the integral form of the remainder is more advanced than the ... |
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