orthogonal series
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Orthogonal polarization spectral imaging — is a method for imaging small blood vessels[1] in tissue like the nail bed or lip. It uses a light source of linearly polarized light with a wavelength of 550 nanometers, the isobestic point for hemoglobin, thus imaging the erythrocytes as they… … Wikipedia
Orthogonal matrix — In linear algebra, an orthogonal matrix (less commonly called orthonormal matrix[1]), is a square matrix with real entries whose columns and rows are orthogonal unit vectors (i.e., orthonormal vectors). Equivalently, a matrix Q is orthogonal if… … Wikipedia
Orthogonal polynomials — In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product. The most widely used orthogonal polynomials are the… … Wikipedia
Orthogonal — Orthogonalité L équation régissant la propagation de la chaleur se résout à l aide de l orthogonalité dans un espace de dimension infinie. En mathématiques, l orthogonalité est un concept d algèbre linéaire associé à une forme bilinéaire. Un cas… … Wikipédia en Français
Séries de Fourier — Série de Fourier Le premier graphe donne l allure du graphe d une fonction périodique ; l histogramme donne les valeurs des modules des coefficients de Fourier correspondant aux différentes fréquences. En analyse, les séries de Fourier sont… … Wikipédia en Français
Séries L de Dirichlet — Série L de Dirichlet Johann Peter Gustav Lejeune Dirichlet En mathématiques, une série L de Dirichlet, est une série du plan complexe utilisée en théorie analytique des nombres. Par prolongement analytique, cette fonction peut être étendue à une… … Wikipédia en Français
Classical orthogonal polynomials — In mathematics, the classical orthogonal polynomials are the most widely used orthogonal polynomials, and consist of the Hermite polynomials, the Laguerre polynomials, the Jacobi polynomials together with their special cases the ultraspherical… … Wikipedia
Discrete series representation — In mathematics, a discrete series representation is an irreducible unitary representation of a locally compact topological group G that is a subrepresentation of the left regular representation of G on L²(G). In the Plancherel measure, such… … Wikipedia
Volterra series — The Volterra series and Volterra theorem was developed in 1887 by Vito Volterra. It is a model for non linear behavior, similar to the Taylor series. It differs from the Taylor series in its ability to capture memory effects. The Taylor series… … Wikipedia
Generalized Fourier series — In mathematical analysis, many generalizations of Fourier series have proved to be useful.They are all special cases of decompositions over an orthonormal basis of an inner product space.Here we consider that of square integrable functions… … Wikipedia
Fourier–Bessel series — In mathematics, Fourier–Bessel series are a particular kind of infinite series expansion on a finite interval, based on Bessel functions and as such are part of a large class of expansions based on orthogonal functions. Fourier Bessel series are… … Wikipedia
