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Longer titles found: Domain (mathematical analysis) (view), Timeline of calculus and mathematical analysis (view), Journal of Mathematical Analysis and Applications (view), Chicago school (mathematical analysis) (view), An Essay on the Application of Mathematical Analysis to the Theories of Electricity and Magnetism (view), Banach Journal of Mathematical Analysis (view), Principles of Mathematical Analysis (view)

searching for Mathematical analysis 95 found (2672 total)

alternate case: mathematical analysis

Martingale (betting system) (1,948 words) [view diff] no match in snippet view article

A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed

Riemann–Lebesgue lemma (961 words) [view diff] no match in snippet view article find links to article

In mathematics, the Riemann–Lebesgue lemma, named after Bernhard Riemann and Henri Lebesgue, states that the Fourier transform or Laplace transform of

Mazur's lemma (278 words) [view diff] no match in snippet view article find links to article

In mathematics, Mazur's lemma is a result in the theory of normed vector spaces. It shows that any weakly convergent sequence in a normed space has a sequence

Principal branch (491 words) [view diff] no match in snippet view article find links to article

In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions defined

Principal branch (491 words) [view diff] no match in snippet view article find links to article

In mathematics, a principal branch is a function which selects one branch ("slice") of a multi-valued function. Most often, this applies to functions defined

Cauchy–Kovalevskaya theorem (986 words) [view diff] no match in snippet view article find links to article

In mathematics, the Cauchy–Kovalevskaya theorem (also written as the Cauchy–Kowalevski theorem) is the main local existence and uniqueness theorem for

Fenchel–Moreau theorem (260 words) [view diff] no match in snippet view article find links to article

In convex analysis, the Fenchel–Moreau theorem (named after Werner Fenchel and Jean Jacques Moreau) or Fenchel biconjugation theorem (or just biconjugation

Closed and exact differential forms (2,603 words) [view diff] no match in snippet view article find links to article

In mathematics, especially vector calculus and differential topology, a closed form is a differential form α whose exterior derivative is zero (dα = 0);

Probably approximately correct learning (907 words) [view diff] exact match in snippet view article find links to article

probably approximately correct (PAC) learning is a framework for mathematical analysis of machine learning. It was proposed in 1984 by Leslie Valiant.

Carathéodory's existence theorem (1,138 words) [view diff] no match in snippet view article find links to article

In mathematics, Carathéodory's existence theorem says that an ordinary differential equation has a solution under relatively mild conditions. It is a generalization

Global analysis (230 words) [view diff] exact match in snippet view article find links to article

Field of mathematical analysis

Transonic (1,665 words) [view diff] no match in snippet view article find links to article

Transonic (or transsonic) flow is air flowing around an object at a speed that generates regions of both subsonic and supersonic airflow around that object

Eric Schechter (488 words) [view diff] exact match in snippet view article find links to article

Analysis and its Foundations, which provides a novel approach to mathematical analysis and related topics at the graduate level. Schechter has authored

Coupon collector's problem (2,099 words) [view diff] exact match in snippet view article find links to article

In probability theory, the coupon collector's problem refers to mathematical analysis of "collect all coupons and win" contests. It asks the following

Peano existence theorem (1,835 words) [view diff] no match in snippet view article find links to article

In mathematics, specifically in the study of ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named

Euler–Maclaurin formula (3,779 words) [view diff] no match in snippet view article find links to article

In mathematics, the Euler–Maclaurin formula is a formula for the difference between an integral and a closely related sum. It can be used to approximate

FETI-DP (413 words) [view diff] exact match in snippet view article find links to article

at subdomain corners, which remain primal variables. The first mathematical analysis of the method was provided by Mandel and Tezaur. The method was

Dynamic method (574 words) [view diff] no match in snippet view article find links to article

The dynamic method is a procedure for the determination of the masses of asteroids. The procedure gets its name from its use of the Newtonian laws of the

Linearity of differentiation (3,096 words) [view diff] no match in snippet view article find links to article

In calculus, the derivative of any linear combination of functions equals the same linear combination of the derivatives of the functions; this property

Harold Hopkins (physicist) (2,650 words) [view diff] exact match in snippet view article

1950), is central to all modern optical design and provides the mathematical analysis which enables the use of computers to create the highest quality

List of permutation topics (282 words) [view diff] no match in snippet view article find links to article

This is a list of topics on mathematical permutations. Alternating permutation Circular shift Cyclic permutation Derangement Even and odd permutations—see

Perturbation (astronomy) (2,425 words) [view diff] no match in snippet view article

In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive

Perturbation (astronomy) (2,425 words) [view diff] no match in snippet view article

In astronomy, perturbation is the complex motion of a massive body subjected to forces other than the gravitational attraction of a single other massive

Due column betting (985 words) [view diff] no match in snippet view article find links to article

Due-column betting (also: due column betting) is a type of fixed-profit betting strategy whereby a bettor increases the amount they wager on a single proposition

Picard–Lindelöf theorem (3,801 words) [view diff] no match in snippet view article find links to article

In mathematics, specifically the study of differential equations, the Picard–Lindelöf theorem gives a set of conditions under which an initial value problem

Frequency response (1,282 words) [view diff] exact match in snippet view article find links to article

systems, such as audio and control systems, where they simplify mathematical analysis by converting governing differential equations into algebraic equations

Fixed-point theorem (1,278 words) [view diff] no match in snippet view article find links to article

In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x) = x), under some

Jensen's inequality (5,129 words) [view diff] case mismatch in snippet view article find links to article

Mean-Concentrated Distributions" (PDF). The Australian Journal of Mathematical Analysis and Applications. 16 (2). arXiv:1712.05267. p. 25 of Rick Durrett

Gaussian integral (4,365 words) [view diff] no match in snippet view article find links to article

The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function f ( x ) = e − x 2 {\displaystyle f(x)=e^{-x^{2}}}

Mahjong solitaire (1,049 words) [view diff] no match in snippet view article find links to article

Mahjong solitaire (also known as Shanghai solitaire, electronic or computerized mahjong, solitaire mahjong or simply mahjong) is a single-player matching

Centre de Recherches Mathématiques (215 words) [view diff] exact match in snippet view article find links to article

Montréal. The CRM has ten research laboratories, one in each of: mathematical analysis, number theory and symbolic computation, differential geometry and

Hausdorff paradox (451 words) [view diff] no match in snippet view article find links to article

The Hausdorff paradox is a paradox in mathematics named after Felix Hausdorff. It involves the sphere S 2 {\displaystyle {S^{2}}} (the surface of a 3-dimensional

Quantitative psychology (2,058 words) [view diff] exact match in snippet view article find links to article

measurement. Psychologists have long contributed to statistical and mathematical analysis, and quantitative psychology is now a specialty recognized by the

Man bites dog (1,808 words) [view diff] no match in snippet view article find links to article

The phrase man bites dog is a shortened version of an aphorism in journalism that describes how an unusual, infrequent event (such as a man biting a dog)

Cutoff frequency (1,847 words) [view diff] no match in snippet view article find links to article

In physics and electrical engineering, a cutoff frequency, corner frequency, or break frequency is a boundary in a system's frequency response at which

Piecewise function (1,065 words) [view diff] exact match in snippet view article find links to article

derivatives of the two neighboring subintervals coincide. In applied mathematical analysis, "piecewise-regular" functions have been found to be consistent

Arnold Snyder (835 words) [view diff] exact match in snippet view article find links to article

The Blackjack Shuffle Tracker's Cookbook, he published the first mathematical analysis of the value of different types of blackjack shuffle tracking, as

Jordan's lemma (1,346 words) [view diff] no match in snippet view article find links to article

In complex analysis, Jordan's lemma is a result frequently used in conjunction with the residue theorem to evaluate contour integrals and improper integrals

Hartman–Grobman theorem (1,522 words) [view diff] no match in snippet view article find links to article

In mathematics, in the study of dynamical systems, the Hartman–Grobman theorem or linearisation theorem is a theorem about the local behaviour of dynamical

Fenchel's duality theorem (703 words) [view diff] no match in snippet view article find links to article

In mathematics, Fenchel's duality theorem is a result in the theory of convex functions named after Werner Fenchel. Let ƒ be a proper convex function on

Calderón–Zygmund lemma (504 words) [view diff] no match in snippet view article find links to article

In mathematics, the Calderón–Zygmund lemma is a fundamental result in Fourier analysis, harmonic analysis, and singular integrals. It is named for the

Mahler's theorem (353 words) [view diff] no match in snippet view article find links to article

In mathematics, Mahler's theorem, introduced by Kurt Mahler (1958), expresses any continuous p-adic function as an infinite series of certain special polynomials

Borel's lemma (498 words) [view diff] no match in snippet view article find links to article

In mathematics, Borel's lemma, named after Émile Borel, is an important result used in the theory of asymptotic expansions and partial differential equations

Cartan–Kähler theorem (339 words) [view diff] no match in snippet view article find links to article

In mathematics, the Cartan–Kähler theorem is a major result on the integrability conditions for differential systems, in the case of analytic functions

Markov brothers' inequality (306 words) [view diff] exact match in snippet view article find links to article

Chebyshev polynomials of the first kind. Bernstein's inequality (mathematical analysis) Remez inequality Markov's inequality is used to obtain lower bounds

Forced convection (360 words) [view diff] exact match in snippet view article find links to article

{Gr}{Re^{2}}}} When natural convection isn't a significant factor, mathematical analysis with forced convection theories typically yields accurate results

Riesz's lemma (2,421 words) [view diff] no match in snippet view article find links to article

In mathematics, Riesz's lemma (after Frigyes Riesz) is a lemma in functional analysis. It specifies (often easy to check) conditions that guarantee that

Universal approximation theorem (5,222 words) [view diff] case mismatch in snippet view article find links to article

neural network can represent any multivariate function". Journal of Mathematical Analysis and Applications. 523 (1): 127096. arXiv:2012.03016. doi:10.1016/j

Laplace principle (large deviations theory) (386 words) [view diff] no match in snippet view article

In mathematics, Laplace's principle is a basic theorem in large deviations theory which is similar to Varadhan's lemma. It gives an asymptotic expression

Itô's lemma (5,921 words) [view diff] no match in snippet view article find links to article

In mathematics, Itô's lemma or Itô's formula (also called the Itô–Döblin formula) is an identity used in Itô calculus to find the differential of a time-dependent

Fundamental lemma of the calculus of variations (1,649 words) [view diff] no match in snippet view article find links to article

In mathematics, specifically in the calculus of variations, a variation δf of a function f can be concentrated on an arbitrarily small interval, but not

List of Jewish mathematicians (15,830 words) [view diff] exact match in snippet view article find links to article

mathematician, physician and philosopher Shmuel Agmon (1922–2025), mathematical analysis and partial differential equations Matest Agrest (1915–2005), mathematician

Itô's lemma (5,921 words) [view diff] no match in snippet view article find links to article

In mathematics, Itô's lemma or Itô's formula (also called the Itô–Döblin formula) is an identity used in Itô calculus to find the differential of a time-dependent

Reciprocal rule (1,345 words) [view diff] no match in snippet view article find links to article

In calculus, the reciprocal rule gives the derivative of the reciprocal of a function f in terms of the derivative of f. The reciprocal rule can be used

Laplace principle (large deviations theory) (386 words) [view diff] no match in snippet view article

In mathematics, Laplace's principle is a basic theorem in large deviations theory which is similar to Varadhan's lemma. It gives an asymptotic expression

Mean shift (2,023 words) [view diff] exact match in snippet view article find links to article

Mean shift is a non-parametric feature-space mathematical analysis technique for locating the maxima of a density function, a so-called mode-seeking algorithm

John Charles Burkill (504 words) [view diff] case mismatch in snippet view article find links to article

1929, he returned to Cambridge to take up a position as Reader in Mathematical Analysis, as a fellow not of Trinity but of Peterhouse. In 1948, he won the

Code (cryptography) (2,241 words) [view diff] exact match in snippet view article

because codes are representational, they are not susceptible to mathematical analysis of the individual codebook elements. In the example, the message

Aubin–Lions lemma (509 words) [view diff] no match in snippet view article find links to article

In mathematics, the Aubin–Lions lemma (or theorem) is the result in the theory of Sobolev spaces of Banach space-valued functions, which provides a compactness

Cartan–Kuranishi prolongation theorem (148 words) [view diff] no match in snippet view article find links to article

Given an exterior differential system defined on a manifold M, the Cartan–Kuranishi prolongation theorem says that after a finite number of prolongations

Neil Trudinger (398 words) [view diff] case mismatch in snippet view article find links to article

the Department of Pure Mathematics, as Director of the Centre for Mathematical Analysis and as Director of the Centre for Mathematics and its Applications

Cartan–Kuranishi prolongation theorem (148 words) [view diff] no match in snippet view article find links to article

Given an exterior differential system defined on a manifold M, the Cartan–Kuranishi prolongation theorem says that after a finite number of prolongations

Denjoy–Koksma inequality (212 words) [view diff] no match in snippet view article find links to article

In mathematics, the Denjoy–Koksma inequality, introduced by Herman (1979, p.73) as a combination of work of Arnaud Denjoy and the Koksma–Hlawka inequality

Pugh's closing lemma (236 words) [view diff] no match in snippet view article find links to article

In mathematics, Pugh's closing lemma is a result that links periodic orbit solutions of differential equations to chaotic behaviour. It can be formally

Lax equivalence theorem (324 words) [view diff] no match in snippet view article find links to article

In numerical analysis, the Lax equivalence theorem is a fundamental theorem in the analysis of linear finite difference methods for the numerical solution

Lebesgue's lemma (204 words) [view diff] no match in snippet view article find links to article

In mathematics, Lebesgue's lemma is an important statement in approximation theory. It provides a bound for the projection error, controlling the error

Malgrange–Ehrenpreis theorem (833 words) [view diff] no match in snippet view article find links to article

In mathematics, the Malgrange–Ehrenpreis theorem states that every non-zero linear differential operator with constant coefficients has a Green's function

Shift theorem (584 words) [view diff] no match in snippet view article find links to article

In mathematics, the (exponential) shift theorem is a theorem about polynomial differential operators (D-operators) and exponential functions. It permits

Babuška–Lax–Milgram theorem (841 words) [view diff] no match in snippet view article find links to article

In mathematics, the Generalized–Lax–Milgram theorem is a generalization of the famous Lax–Milgram theorem, which gives conditions under which a bilinear

Exponential map (Lie theory) (2,325 words) [view diff] exact match in snippet view article

tool for studying Lie groups. The ordinary exponential function of mathematical analysis is a special case of the exponential map when G {\displaystyle G}

Narasimhan–Seshadri theorem (266 words) [view diff] no match in snippet view article find links to article

In mathematics, the Narasimhan–Seshadri theorem, proved by Narasimhan and Seshadri (1965), says that a holomorphic vector bundle over a Riemann surface

Rellich–Kondrachov theorem (525 words) [view diff] no match in snippet view article find links to article

In mathematics, the Rellich–Kondrachov theorem is a compact embedding theorem concerning Sobolev spaces. It is named after the Austrian-German mathematician

Fatou's lemma (5,120 words) [view diff] case mismatch in snippet view article find links to article

Kasyanov; Zgurovsky (2016). "Uniform Fatou's lemma". Journal of Mathematical Analysis and Applications. 444: 550–567. Carothers, N. L. (2000). Real Analysis

Rotamer (3,949 words) [view diff] no match in snippet view article find links to article

In chemistry, rotamers are chemical species that differ from one another primarily due to rotations about one or more single bonds. Various arrangements

Kademlia (4,223 words) [view diff] no match in snippet view article find links to article

Kademlia is a distributed hash table for decentralized peer-to-peer computer networks designed by Petar Maymounkov and David Mazières in 2002. It specifies

Fraňková–Helly selection theorem (584 words) [view diff] no match in snippet view article find links to article

In mathematics, the Fraňková–Helly selection theorem is a generalisation of Helly's selection theorem for functions of bounded variation to the case of

Lévy–Steinitz theorem (323 words) [view diff] no match in snippet view article find links to article

In mathematics, the Lévy–Steinitz theorem identifies the set of values to which sums of rearrangements of an infinite series of vectors in Rn can converge

Random optimization (613 words) [view diff] exact match in snippet view article find links to article

to Matyas who made an early presentation of RO along with basic mathematical analysis. RO works by iteratively moving to better positions in the search-space

Kantorovich theorem (1,474 words) [view diff] no match in snippet view article find links to article

The Kantorovich theorem, or Newton–Kantorovich theorem, is a mathematical statement on the semi-local convergence of Newton's method. It was first stated

Yang Hui (810 words) [view diff] case mismatch in snippet view article find links to article

Conference on Mathematical Analysis, Applications and Computational Simulation - Awards". ICMAACS. "International Conference on Mathematical Analysis, Applications

Dominated convergence theorem (2,206 words) [view diff] exact match in snippet view article find links to article

Riemann integration. In addition to its frequent appearance in mathematical analysis and partial differential equations, it is widely used in probability

Malgrange preparation theorem (849 words) [view diff] no match in snippet view article find links to article

In mathematics, the Malgrange preparation theorem is an analogue of the Weierstrass preparation theorem for smooth functions. It was conjectured by René

Malliavin's absolute continuity lemma (220 words) [view diff] no match in snippet view article find links to article

In mathematics — specifically, in measure theory — Malliavin's absolute continuity lemma is a result due to the French mathematician Paul Malliavin that

Bipolar theorem (824 words) [view diff] no match in snippet view article find links to article

In mathematics, the bipolar theorem is a theorem in functional analysis that characterizes the bipolar (that is, the polar of the polar) of a set. In convex

Sturm–Picone comparison theorem (427 words) [view diff] no match in snippet view article find links to article

In mathematics, in the field of ordinary differential equations, the Sturm–Picone comparison theorem, named after Jacques Charles François Sturm and Mauro

Remez inequality (1,250 words) [view diff] no match in snippet view article find links to article

In mathematics, the Remez inequality, discovered by the Soviet mathematician Evgeny Yakovlevich Remez (Remez 1936), gives a bound on the sup norms of certain

Lagrange reversion theorem (879 words) [view diff] case mismatch in snippet view article find links to article

Laplace's proof is presented in: Goursat, Édouard, A Course in Mathematical Analysis (translated by E.R. Hedrick and O. Dunkel) [N.Y., N.Y.: Dover, 1959]

Kalah (1,132 words) [view diff] no match in snippet view article find links to article

Kalah is a modern variation in the ancient Mancala family of games. The Kalah board was first patented and sold in the United States by William Julius

Marginal rate of substitution (1,503 words) [view diff] no match in snippet view article find links to article

In economics, the marginal rate of substitution (MRS) is the rate at which a consumer can give up some amount of one good in exchange for another good

Overhead power line (4,742 words) [view diff] no match in snippet view article find links to article

An overhead power line is a structure used in electric power transmission and distribution to transmit electrical energy along large distances. It consists

Pontryagin duality (5,827 words) [view diff] no match in snippet view article find links to article

In mathematics, Pontryagin duality is a duality between locally compact abelian groups that allows generalizing Fourier transform to all such groups, which

Cauchy formula for repeated integration (985 words) [view diff] no match in snippet view article find links to article

The Cauchy formula for repeated integration, named after Augustin-Louis Cauchy, allows one to compress n antiderivatives of a function into a single integral

Grigorii Fikhtengol'ts (398 words) [view diff] exact match in snippet view article find links to article

Course of Differential and Integral Calculus". The textbook covers mathematical analysis of functions of one real variable, functions of many real variables

Ahlfors finiteness theorem (326 words) [view diff] no match in snippet view article find links to article

In the mathematical theory of Kleinian groups, the Ahlfors finiteness theorem describes the quotient of the domain of discontinuity by a finitely generated

Godunov's theorem (934 words) [view diff] no match in snippet view article find links to article

In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important