orthogonal functions

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• Orthogonal functions — In mathematics, two functions f and g are called orthogonal if their inner product is zero for f ≠ g. Whether or not two particular functions are orthogonal depends on how their inner product has been defined. A typical definition of an …   Wikipedia

• orthogonal functions — ortogonaliosios funkcijos statusas T sritis fizika atitikmenys: angl. orthogonal functions vok. orthogonale Funktionen, f rus. ортогональные функции, f pranc. fonctions orthogonales, f …   Fizikos terminų žodynas

• orthogonal functions — noun plural : two mathematical functions such that with suitable limits the definite integral of their product is zero …   Useful english dictionary

• Empirical orthogonal functions — In statistics and signal processing, the method of empirical orthogonal function (EOF) analysis is a decomposition of a signal or data set in terms of orthogonal basis functions which are determined from the data. It is the same as performing a… …   Wikipedia

• Orthogonal coordinates — In mathematics, orthogonal coordinates are defined as a set of d coordinates q = (q1, q2, ..., qd) in which the coordinate surfaces all meet at right angles (note: superscripts are indices, not exponents). A coordinate surface for a particular… …   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 trajectory — In mathematics, orthogonal trajectories are a family of curves in the plane that intersect a given family of curves at right angles. The problem is classical, but is now understood by means of complex analysis; see for example harmonic conjugate …   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 — adjective Etymology: Middle French, from Latin orthogonius, from Greek orthogōnios, from orth + gōnia angle more at gon Date: 1612 1. a. intersecting or lying at right angles b. having perpendicular slopes or tangents at the point of intersection …   New Collegiate Dictionary

• Orthogonal polynomials on the unit circle — In mathematics, orthogonal polynomials on the unit circle are families of polynomials that are orthogonal with respect to integration over the unit circle in the complex plane, for some probability measure on the unit circle. They were introduced …   Wikipedia

• orthogonal — adjective /ɔːˈθɒɡənəl/ a) pertaining to right angles; perpendicular (to) A chord and the radius that bisects it are orthogonal. b) Of two functions, linearly independent; having a zero inner product. The content of the message should be… …   Wiktionary