Baron Augustin-Louis Cauchy FRS FRSE (UK: /ˈkoʊʃi/ KOH-shee, /ˈkaʊʃi / KOW-shee, US: /koʊˈʃiː / koh-SHEE; French: [oɡystɛ̃ lwi koʃi]; 21 August 1789 –...

vectors in Hilbert spaces). The inequality for sums was published by Augustin-Louis Cauchy (1821). The corresponding inequality for integrals was published...

after Augustin-Louis Cauchy. For a partial differential equation defined on Rn+1 and a smooth manifold S ⊂ Rn+1 of dimension n (S is called the Cauchy surface)...

named after Augustin-Louis Cauchy. Cauchy theorem may mean: Cauchy's integral theorem in complex analysis, also Cauchy's integral formula Cauchy's mean value...

after the prolific 19th-century French mathematical analyst Augustin-Louis Cauchy. Cauchy boundary conditions are simple and common in second-order ordinary...

Augustin-Louis Cauchy, who originally defined it in 1830 in his article "The refraction and reflection of light". The most general form of Cauchy's equation...

geodesics. The concept is named after Augustin-Louis Cauchy. Under the averaged weak energy condition (AWEC), Cauchy horizons are inherently unstable. However...

In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a...

The Cauchy distribution, named after Augustin-Louis Cauchy, is a continuous probability distribution. It is also known, especially among physicists, as...

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

Augustin-Louis Cauchy include: Binet–Cauchy identity Bolzano–Cauchy theorem Cauchy's argument principle Cauchy–Binet formula Cauchy–Born rule Cauchy boundary...

In mathematics, the Cauchy principal value, named after Augustin-Louis Cauchy, is a method for assigning values to certain improper integrals which would...

continuum mechanics, the Cauchy stress tensor (symbol σ {\displaystyle {\boldsymbol {\sigma }}} , named after Augustin-Louis Cauchy), also called true stress...

terms in the series. This convergence criterion is named after Augustin-Louis Cauchy who published it in his textbook Cours d'Analyse 1821. A series...

mathematics, specifically linear algebra, the Cauchy–Binet formula, named after Augustin-Louis Cauchy and Jacques Philippe Marie Binet, is an identity...

named after Émile Picard, Ernst Lindelöf, Rudolf Lipschitz and Augustin-Louis Cauchy. Let D ⊆ R × R n {\displaystyle D\subseteq \mathbb {R} \times \mathbb...

the Cauchy product is the discrete convolution of two infinite series. It is named after the French mathematician Augustin-Louis Cauchy. The Cauchy product...

xp = e, where e is the identity element of G. It is named after Augustin-Louis Cauchy, who discovered it in 1845. The theorem is a partial converse to...

differential equations associated with Cauchy initial value problems. A special case was proven by Augustin Cauchy (1842), and the full result by Sofya...

In complex analysis, the residue theorem, sometimes called Cauchy's residue theorem, is a powerful tool to evaluate line integrals of analytic functions...

mathematics, the Cauchy–Hadamard theorem is a result in complex analysis named after the French mathematicians Augustin Louis Cauchy and Jacques Hadamard...

Louis François Cauchy (27 May 1760 – 28 December 1848) was a senior French government official and the father of the mathematician Augustin-Louis Cauchy...

In mathematics, a Cauchy matrix, named after Augustin-Louis Cauchy, is an m×n matrix with elements aij in the form a i j = 1 x i − y j ; x i − y j ≠ 0...

It was developed by Colin Maclaurin and Augustin-Louis Cauchy and is sometimes known as the Maclaurin–Cauchy test. Consider an integer N and a function...

mean value theorem in its modern form was stated and proved by Augustin Louis Cauchy in 1823. Many variations of this theorem have been proved since...

They are named for French mathematician Augustin-Louis Cauchy (1789-1857) due to their relevance for the Cauchy problem of general relativity. Although...

{\displaystyle P(a_{1},\ldots ,a_{n})\not =0.} The Cauchy–Davenport theorem, named after Augustin Louis Cauchy and Harold Davenport, asserts that for any prime...

infinitesimals by mathematicians such as Leonhard Euler and Joseph-Louis Lagrange. Augustin-Louis Cauchy exploited infinitesimals both in defining continuity in...

mathematics, the Cauchy integral theorem (also known as the Cauchy–Goursat theorem) in complex analysis, named after Augustin-Louis Cauchy (and Édouard Goursat)...

symmetry when counting mathematical objects. It was discovered by Augustin Louis Cauchy and Ferdinand Georg Frobenius, and became well-known after William...