orthogonal function system
1Orthogonal 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… …
2Orthogonal 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… …
3Orthogonal 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… …
4orthogonal — orthogonality, n. orthogonally, adv. /awr thog euh nl/, adj. 1. Math. a. Also, orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection. b. (of a system of real functions) defined so that the integral of… …
5System of imprimitivity — The concept of system of imprimitivity is used in mathematics, particularly in algebra and analysis, both within the context of the theory of group representations. It was used by George Mackey as the basis for his theory of induced unitary… …
6Walsh function — In mathematical analysis, the set of Walsh functions form an orthogonal basis of the square integrable functions on the unit interval. The functions take the values 1 and 1 only, on sub intervals defined by dyadic fractions. They are useful in… …
7Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… …
8Cylindrical coordinate system — A cylindrical coordinate system with origin O, polar axis A, and longitudinal axis L. The dot is the point with radial distance ρ = 4, angular coordinate φ = 130°, and height z = 4. A cylindrical coordinate system is …
9Polar coordinate system — Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 …
10Coordinate system — For geographical coordinates on Wikipedia, see Wikipedia:WikiProject Geographical coordinates. In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other… …
