In mathematics, the Lagrange reversion theorem gives series or formal power series expansions of certain implicitly defined functions; indeed, of compositions...
5 KB (879 words) - 03:08, 20 April 2025
four squares of integers Mean value theorem in calculus The Lagrange inversion theorem The Lagrange reversion theorem The method of Lagrangian multipliers...
544 bytes (99 words) - 01:17, 22 April 2017
In mathematical analysis, the Lagrange inversion theorem, also known as the Lagrange–Bürmann formula, gives the Taylor series expansion of the inverse...
13 KB (2,428 words) - 11:22, 18 June 2025
method Lagrange number Lagrange point colonization Lagrange polynomial Lagrange property Lagrange reversion theorem Lagrange resolvent Lagrange spectrum...
3 KB (208 words) - 14:05, 29 June 2023
1/4 theorem (complex analysis) Lagrange inversion theorem (mathematical analysis, combinatorics) Lagrange reversion theorem (mathematical analysis, combinatorics)...
78 KB (6,296 words) - 20:31, 6 July 2025
Evaluation of several common definite integrals; General proof of the Lagrange reversion theorem. Laplace built upon the qualitative work of Thomas Young to develop...
107 KB (13,309 words) - 13:05, 18 July 2025
point Lagrange reversion theorem Lagrange polynomial Lagrange's four-square theorem Lagrange's theorem Lagrange's theorem (group theory) Lagrange invariant...
21 KB (100 words) - 19:25, 23 July 2025
Regression toward the mean (redirect from Reversion to the mean)
regression toward the mean (also called regression to the mean, reversion to the mean, and reversion to mediocrity) is the phenomenon where if one sample of a...
41 KB (5,820 words) - 08:53, 20 July 2025
differential equation of the second order and general proof of the Lagrange reversion theorem by Pierre-Simon Laplace in the late eighteenth and the early nineteenth...
113 KB (10,863 words) - 06:42, 12 July 2025
cannot be solved for E in terms of elementary functions, but the Lagrange reversion theorem gives the solution as a power series in ε: E = M + sin ( M )...
4 KB (502 words) - 20:37, 3 June 2025
schoolgirl problem Knapsack problem Kruskal–Katona theorem Lagrange inversion theorem Lagrange reversion theorem Lah number Large number Latin square Levenshtein...
7 KB (626 words) - 21:27, 20 August 2024
Lambert's Theorem - A Complete Series Solution. Paper by James D. Thorne with a direct algebraic solution based on hypergeometric series reversion of all...
17 KB (2,430 words) - 02:54, 7 July 2025
Bell polynomials (section Reversion of series)
applications, such as in Faà di Bruno's formula and an explicit formula for Lagrange inversion. The partial or incomplete exponential Bell polynomials are a...
32 KB (7,654 words) - 19:03, 18 July 2025
correlation coefficient As early as 1877, Galton was using the term "reversion" and the symbol "r" for what would become "regression". "SPSS Tutorials:...
58 KB (8,398 words) - 00:35, 24 June 2025
(Chapter XIII describes what was known about reversion in Galton's time. Darwin uses the term "reversion".) Draper, N. R.; Smith, H. (1998). Applied Regression...
76 KB (10,482 words) - 04:54, 7 July 2025
The series for f − 1 {\displaystyle f^{-1}} can then be obtained by reversion of the Taylor series for f ( x ) {\displaystyle f(x)} (which is simply...
40 KB (8,570 words) - 10:26, 18 June 2025
Nature 15 (1877), 492–495, 512–514, 532–533. (Galton uses the term "reversion" in this paper, which discusses the size of peas.) Francis Galton. Presidential...
37 KB (5,235 words) - 03:23, 20 June 2025
fundamental information as well as exhibiting technical trending and mean-reversion effects due to market participants.[citation needed] There are various...
18 KB (2,461 words) - 21:53, 16 July 2025
A r ∗ = ( − 1 ) r A r {\displaystyle A_{r}^{\ast }=(-1)^{r}\ A_{r}} Reversion transformation occurs by decomposing any spacetime element as a sum of...
48 KB (7,335 words) - 02:07, 12 July 2025
ISSN 2053-5902. S2CID 124083316. Whittkaer, E. T. (1950). "On the reversion of series". Gaz. Mat. Lisboa. 12 (50): 1. Greenstreet, William John (1927)...
146 KB (9,695 words) - 17:16, 17 July 2025