List of topics named after Augustin-Louis Cauchy
Encyclopedia
Many things are named after the 19th-century French mathematician Augustin-Louis Cauchy:
- Binet–Cauchy identity
- Cauchy–Binet formula
- Cauchy boundary conditionCauchy boundary conditionIn mathematics, a Cauchy boundary condition imposed on an ordinary differential equation or a partial differential equation specifies both the values a solution of a differential equation is to take on the boundary of the domain and the normal derivative at the boundary. It corresponds to imposing...
- Cauchy condensation test
- Cauchy's convergence test
- Cauchy (crater)Cauchy (crater)Cauchy is a small lunar impact crater on the eastern Mare Tranquillitatis. It is circular and symmetric, with a small interior floor at the mid-point of the sloping inner walls. Due to the high albedo of this bowl-shaped formation, it is particularly prominent at full Moon...
- Cauchy determinant
- Cauchy distributionCauchy distributionThe Cauchy–Lorentz distribution, named after Augustin Cauchy and Hendrik Lorentz, is a continuous probability distribution. As a probability distribution, it is known as the Cauchy distribution, while among physicists, it is known as the Lorentz distribution, Lorentz function, or Breit–Wigner...
- Cauchy's equationCauchy's equationCauchy's equation is an empirical relationship between the refractive index and wavelength of light for a particular transparent material. It is named for the mathematician Augustin Louis Cauchy, who defined it in 1836.-The equation:...
- Cauchy–Euler equation
- Cauchy functional equation
- Cauchy formula for repeated integrationCauchy formula for repeated integrationThe Cauchy formula for repeated integration, named after Augustin Louis Cauchy, allows one to compress n antidifferentiations of a function into a single integral .-Scalar case:Let ƒ be a continuous function on the real line...
- Cauchy–Frobenius lemma
- Cauchy–Hadamard theorem
- Cauchy horizonCauchy horizonIn physics, a Cauchy horizon is a light-like boundary of the domain of validity of a Cauchy problem...
- Cauchy's integral formulaCauchy's integral formulaIn mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all...
- Cauchy's integral theoremCauchy's integral theoremIn mathematics, the Cauchy integral theorem in complex analysis, named after Augustin-Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane...
- Cauchy–Kovalevskaya theorem
- Cauchy matrix
- Cauchy momentum equation
- Cauchy–Peano theorem
- Cauchy principal valueCauchy principal valueIn mathematics, the Cauchy principal value, named after Augustin Louis Cauchy, is a method for assigning values to certain improper integrals which would otherwise be undefined.-Formulation:...
- Cauchy problemCauchy problemA Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions which are given on a hypersurface in the domain. Cauchy problems are an extension of initial value problems and are to be contrasted with boundary value problems...
- Cauchy product
- Cauchy's radical test
- Cauchy–Riemann equations
- Cauchy–Schwarz inequalityCauchy–Schwarz inequalityIn mathematics, the Cauchy–Schwarz inequality , is a useful inequality encountered in many different settings, such as linear algebra, analysis, probability theory, and other areas...
- Cauchy sequenceCauchy sequenceIn mathematics, a Cauchy sequence , named after Augustin-Louis Cauchy, is a sequence whose elements become arbitrarily close to each other as the sequence progresses...
- Cauchy surfaceCauchy surfaceIntuitively, a Cauchy surface is a plane in space-time which is like an instant of time; its significance is that giving the initial conditions on this plane determines the future uniquely....
- Cauchy's integral theoremCauchy's integral theoremIn mathematics, the Cauchy integral theorem in complex analysis, named after Augustin-Louis Cauchy, is an important statement about line integrals for holomorphic functions in the complex plane...
- Cauchy's integral formulaCauchy's integral formulaIn mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis. It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all...
- Cauchy's mean value theorem
- Cauchy stress tensor
- Cauchy's theorem (geometry)Cauchy's theorem (geometry)Cauchy's theorem is a theorem in geometry, named after Augustin Cauchy. It states thatconvex polytopes in three dimensions with congruent corresponding faces must be congruent to each other...
- Cauchy's theorem (group theory)Cauchy's theorem (group theory)Cauchy's theorem is a theorem in the mathematics of group theory, named after Augustin Louis Cauchy. It states that if G is a finite group and p is a prime number dividing the order of G , then G contains an element of order p...
- Maclaurin–Cauchy test