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- {{Short description|Family of mathematical integrals}} ..., and more precisely in [[mathematical analysis|analysis]], the '''Wallis integrals''' constitute a family of [[integral]]s introduced by [[John Wallis]]. ...12 KB (1,782 words) - 19:42, 7 April 2023
- ...computing properties of atoms which have natural spherical symmetry. These integrals are defined below along with some of their mathematical properties. These integrals are useful and necessary when doing atomic calculations of the [[Hartree–Fo ...3 KB (539 words) - 23:47, 15 July 2022
- The rate of change of one-dimensional integrals with sufficiently [[smooth function|smooth]] integrands, is governed by thi ...als over [[differential geometry of surfaces]], curved surfaces, including integrals over curved surfaces with moving contour [[Boundary (topology)|boundaries]] ...5 KB (784 words) - 01:45, 22 March 2022
- ...and definite integrals and introduces a technique for evaluating definite integrals. ...t of [[indefinite integral]]s see ''[[List of integrals|List of indefinite integrals]]''. ...14 KB (2,353 words) - 08:23, 9 July 2024
- ...inert, ''[https://cds.cern.ch/record/1055551/files/9812700099_TOC.pdf PATH INTEGRALS in Quantum mechanics, Statistics, Polymer Physics, and Financial Markets]'' ...published.</ref> now commonly known as [[Path integral formulation|Feynman Integrals]]. ...38 KB (6,078 words) - 05:27, 3 December 2023
- ...ntegrals can be approximated by versions of the Gaussian integral. Fourier integrals are also considered. === Integrals of exponents and even powers of ''x'' === ...29 KB (4,497 words) - 17:10, 24 April 2024
- {{DEFAULTSORT:Derivatives And Integrals Of Elementary Functions In Alternative Calculi}} ...8 KB (1,210 words) - 08:19, 2 August 2024
- Owen<ref>{{harvnb|Owen|1980}}.</ref> has an extensive list of Gaussian-type integrals; only a subset is given below. == Indefinite integrals == ...7 KB (1,107 words) - 05:15, 16 February 2025
Page text matches
- Consequently, Fresnel integrals can be expressed in terms of the Böhmer integrals as ...ral]] and [[cosine integral]] can also be expressed in terms of the Böhmer integrals ...2 KB (235 words) - 05:32, 25 December 2023
- The rate of change of one-dimensional integrals with sufficiently [[smooth function|smooth]] integrands, is governed by thi ...als over [[differential geometry of surfaces]], curved surfaces, including integrals over curved surfaces with moving contour [[Boundary (topology)|boundaries]] ...5 KB (784 words) - 01:45, 22 March 2022
- ...computing properties of atoms which have natural spherical symmetry. These integrals are defined below along with some of their mathematical properties. These integrals are useful and necessary when doing atomic calculations of the [[Hartree–Fo ...3 KB (539 words) - 23:47, 15 July 2022
- Owen<ref>{{harvnb|Owen|1980}}.</ref> has an extensive list of Gaussian-type integrals; only a subset is given below. == Indefinite integrals == ...7 KB (1,107 words) - 05:15, 16 February 2025
- ...ntegral]] named after the Italian mathematician [[Giuliano Frullani]]. The integrals are of the form ...i's theorem#Tonelli's theorem | Tonelli’s theorem]] to interchange the two integrals: ...3 KB (525 words) - 13:06, 26 November 2024
- ...al''', named after M. Sugeno,<ref>Sugeno, M. (1974) ''Theory of fuzzy integrals and its applications'', Doctoral. Thesis, [[Tokyo Institute of Technology]] ...rst1=Radko |last2=Gagolewski |first2=Marek |title=H-Index and Other Sugeno Integrals: Some Defects and Their Compensation |journal=IEEE Transactions on Fuzzy Sy ...2 KB (320 words) - 07:19, 24 January 2025
- In [[functional analysis]], '''double operator integrals''' (DOI) are integrals of the form ...calar-valued [[measurable function]] called the ''symbol'' of the DOI. The integrals are to be understood in the form of [[Stieltjes integral]]s. ...6 KB (858 words) - 07:12, 14 August 2023
- The model case for orbital integrals is a [[Riemannian symmetric space]] ''G''/''K'', where ''G'' is a [[Lie gro ...only unimodular. Lorentzian symmetric spaces are of this kind. The orbital integrals in this case are also obtained by integrating over a ''K''-orbit in ''G''/' ...3 KB (517 words) - 15:22, 1 January 2024
- ...inequality''' is a generalization of the [[Cauchy–Schwarz inequality]] to integrals of [[stochastic processes]]. ...c variation|quadratic variation and quadratic covariation]] operators. The integrals are understood in the [[Lebesgue–Stieltjes integration|Lebesgue–Stieltjes]] ...2 KB (210 words) - 10:01, 3 April 2023
- ...troduced it in 1983.<ref>Glasser, M. L. "A Remarkable Property of Definite Integrals." ''Mathematics of Computation'' 40, 561–563, 1983.</ref> ...2 KB (337 words) - 15:47, 18 September 2018
- to order lists of two electron repulsion integrals. It is implemented in the IBM Alchemy program repulsion integrals involving four basis functions. Any given basis set may be ordered so that ...8 KB (1,250 words) - 20:11, 12 March 2024
- ...and definite integrals and introduces a technique for evaluating definite integrals. ...t of [[indefinite integral]]s see ''[[List of integrals|List of indefinite integrals]]''. ...14 KB (2,353 words) - 08:23, 9 July 2024
- ...ande |author2-link=Rahul Pandharipande |arxiv=math.AG/9805114 |title=Hodge integrals, partition matrices, and the <math>\lambda_g</math> conjecture|journal=Ann. ...'<sub>2''g''</sub> are [[Bernoulli number]]s, gives a way to calculate all integrals on <math>\overline{\mathcal M}_{g, n}</math> involving products in <math>\p ...3 KB (418 words) - 07:22, 27 January 2025
- {{Short description|Elementary functions and their finitely iterated integrals}} ...ouvillian functions can be [[recursive definition|recursively defined]] as integrals of other Liouvillian functions. ...4 KB (455 words) - 23:32, 25 November 2022
- ...of complete elliptic integrals. It was introduced (for complete elliptic integrals) by {{harvs|txt|first=A. M. |last=Legendre|authorlink=A. M. Legendre|year1= ==Complete elliptic integrals== ...10 KB (1,485 words) - 21:50, 2 March 2023
- {{Short description|Family of mathematical integrals}} ..., and more precisely in [[mathematical analysis|analysis]], the '''Wallis integrals''' constitute a family of [[integral]]s introduced by [[John Wallis]]. ...12 KB (1,782 words) - 19:42, 7 April 2023
- ...[Gaussian quadrature]]. Gauss–Jacobi quadrature can be used to approximate integrals of the form ...r transformation. Thus, Gauss–Jacobi quadrature can be used to approximate integrals with singularities at the end points. [[Gauss–Legendre quadrature]] is a sp ...3 KB (474 words) - 10:27, 18 February 2024
- ...''Harmonic Analysis: Real-variable Methods, Orthogonality and Oscillatory Integrals''. Princeton University Press, 1993. {{ISBN|0-691-03216-5}}</ref> ...2 KB (319 words) - 19:05, 31 August 2022
- ...sian function|Gaussian]] type-regularization and is defined, for divergent integrals, by<ref>Garrido, E., Fedorov, D. V., Jensen, A. S., & Fynbo, H. O. U. (2006 ...2 KB (258 words) - 21:40, 12 January 2025
- ...als of motion]] in the given potential, and conversely any function of the integrals is a steady-state solution. ...is one example. In generic potentials, some orbits respect only one or two integrals and the corresponding motion is chaotic. Jeans's theorem can be generalized ...4 KB (587 words) - 07:18, 13 March 2024