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Dirichlet character
Dirichlet character In mathematics, in the area of number theory, Dirichlet characters are certain arithmetic functions that capture ... some important properties of the cyclic group. Dirichlet characters are used to define Dirichlet L-functions, meromorphic functions which have a ... in honour of Johann Peter Gustav Lejeune Dirichlet. Axiomatic definition A Dirichlet character is ...
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Dirichlet prime
Dirichlet prime In mathematics, a prime number p is called a Dirichlet prime if p is in the form 3n + 1. The first few Dirichlet primes are 7, 13, 19, 31, 37, 43, 61 Dirichlet proved in 1835 that there are infinitely ... primes in any relatively prime arithmetic progression (Dirichlet's theorem). Using special case of ...
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Dirichlet (crater)
Dirichlet (crater) Crater characteristics Coordinates 11.1° N ... 208 at sunrise Eponym Peter G. L. Dirichlet Dirichlet is a lunar impact crater that is ... crater mid-point that is closest to Dirichlet crater. Dirichlet Latitude Longitude Diameter E 12.2 ...
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Dirichlet conditions
Dirichlet conditions In mathematics, the Dirichlet conditions are the conditions that must be ... f(x), to have a Fourier transform. Dirichlet conditions are named after Johann Peter Gustav Lejeune Dirichlet. The conditions are: f(x) must be ... x) must be absolutely integrable External link Dirichlet conditions on PlanetMath.
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Dirichlet principle
Dirichlet principle In mathematics, Dirichlet's principle in potential theory states that ... be obtained as the minimizer of the Dirichlet integral |
Dirichlet integral
Dirichlet integral In mathematics, there are several integrals known as the Dirichlet integral, after the German mathematician Peter Gustav Lejeune Dirichlet. One of those is |
Dirichlet distribution
Dirichlet distribution Several images of the probability density of the Dirichlet distribution when K=3 for various parameter ... 3, 4). In probability and statistics, the Dirichlet distribution (after Johann Peter Gustav Lejeune Dirichlet), often denoted Dir(α), is a family ... function The probability density function of the Dirichlet distribution of order K is the ...
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Dirichlet problem
Dirichlet problem In mathematics, a Dirichlet problem is the problem of finding a ... on the boundary of the region. The Dirichlet problem can be solved for many PDEs ... the boundary? This requirement is called the Dirichlet boundary condition. The main issue is to ... proved using the maximum principle. History The Dirichlet problem is named after Lejeune Dirichlet, ...
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Dirichlet series
Dirichlet series In mathematics, a Dirichlet series is a series taken over the ... case of the series, as are the Dirichlet L-functions. It is conjectured that the ... in honor of Johann Peter Gustav Lejeune Dirichlet. Definition A Dirichlet series is a series of the ...
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Dirichlet kernel
Dirichlet kernel In mathematical analysis, the Dirichlet kernel is the collection of functions |
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