• Thumbnail for Orthogonality
    orthogonality is the generalization of the geometric notion of perpendicularity. Although many authors use the two terms perpendicular and orthogonal...
    16 KB (2,698 words) - 18:06, 20 May 2025
  • most-frequently used regarding assembly instruction sets, as orthogonal instruction set. Orthogonality in a programming language means that a relatively small...
    5 KB (636 words) - 00:20, 9 June 2025
  • Thumbnail for Hyperbolic orthogonality
    In geometry, the relation of hyperbolic orthogonality between two lines separated by the asymptotes of a hyperbola is a concept used in special relativity...
    9 KB (1,291 words) - 23:58, 8 May 2025
  • the orthogonality principle is a necessary and sufficient condition for the optimality of a Bayesian estimator. Loosely stated, the orthogonality principle...
    9 KB (1,707 words) - 22:35, 27 May 2022
  • the unit disk and have orthogonality of both radial and angular parts. Walsh functions and Haar wavelets are examples of orthogonal functions with discrete...
    6 KB (771 words) - 05:51, 24 December 2024
  • Thumbnail for Orthogonal group
    In mathematics, the orthogonal group in dimension n, denoted O(n), is the group of distance-preserving transformations of a Euclidean space of dimension...
    56 KB (7,882 words) - 17:12, 19 June 2025
  • not true; having a determinant of ±1 is no guarantee of orthogonality, even with orthogonal columns, as shown by the following counterexample. [ 2 0...
    36 KB (4,802 words) - 21:06, 14 April 2025
  • Thumbnail for Orthogonality (mathematics)
    \langle f,g\rangle _{w}=0.} Orthogonality of two functions with respect to one inner product does not imply orthogonality with respect to another inner...
    14 KB (2,185 words) - 16:59, 3 May 2025
  • ⁠ ⟨ ⋅ , ⋅ ⟩ {\displaystyle \langle \cdot ,\cdot \rangle } ⁠, where orthogonality of two vectors v {\displaystyle v} and w {\displaystyle w} means ⁠ ⟨...
    3 KB (529 words) - 22:28, 27 November 2024
  • In mathematics, the Schur orthogonality relations, which were proven by Issai Schur through Schur's lemma, express a central fact about representations...
    14 KB (2,618 words) - 14:03, 28 May 2025
  • orthogonality in the usual way, namely that two polynomials are orthogonal if their inner product is zero. Then the sequence (Pn)∞ n=0 of orthogonal polynomials...
    15 KB (2,079 words) - 21:55, 22 May 2025
  • often simulate orthogonality in a preprocessing step before performing the actual tasks in a RISC-like core. This "simulated orthogonality" in general is...
    21 KB (3,017 words) - 05:34, 20 April 2025
  • In mathematics, an orthogonal array (more specifically, a fixed-level orthogonal array) is a "table" (array) whose entries come from a fixed finite set...
    27 KB (3,395 words) - 18:39, 6 October 2023
  • Orthogonal array testing is a systematic and statistically-driven black-box testing technique employed in the field of software testing. This method is...
    6 KB (708 words) - 22:16, 12 June 2024
  • In linear algebra, an orthogonal transformation is a linear transformation T : V → V on a real inner product space V, that preserves the inner product...
    4 KB (727 words) - 01:37, 16 October 2024
  • Orthogonal is a science fiction trilogy by Australian author Greg Egan taking place in a universe where, rather than three dimensions of space and one...
    4 KB (358 words) - 14:37, 4 January 2025
  • the mathematical fields of linear algebra and functional analysis, the orthogonal complement of a subspace W {\displaystyle W} of a vector space V {\displaystyle...
    13 KB (2,087 words) - 08:58, 29 January 2025
  • The proper orthogonal decomposition is a numerical method that enables a reduction in the complexity of computer intensive simulations such as computational...
    5 KB (678 words) - 22:34, 19 June 2025
  • Thumbnail for Orthogonal frequency-division multiplexing
    in 1971 with the introduction of a guard interval, providing better orthogonality in transmission channels affected by multipath propagation. Each subcarrier...
    88 KB (11,274 words) - 20:03, 27 June 2025
  • Thumbnail for Orthogonal circles
    circle orthogonal to the circle of ideal points bounding the disk. Orthogonality Radical axis Power center (geometry) Apollonian circles Bipolar coordinates...
    3 KB (244 words) - 23:02, 12 May 2024
  • valuable from the perspective of an artificial intelligence. Bostrom's "orthogonality thesis" argues instead that, with some technical caveats, almost any...
    127 KB (13,309 words) - 06:31, 2 July 2025
  • In mathematics, orthogonal coordinates are defined as a set of d coordinates q = ( q 1 , q 2 , … , q d ) {\displaystyle \mathbf {q} =(q^{1},q^{2},\dots...
    30 KB (3,364 words) - 09:49, 16 June 2025
  • Thumbnail for Projection (linear algebra)
    the concept of orthogonality can be used. A projection P {\displaystyle P} on a Hilbert space V {\displaystyle V} is called an orthogonal projection if...
    34 KB (5,806 words) - 14:46, 17 February 2025
  • Thumbnail for Inner product space
    definitions of intuitive geometric notions, such as lengths, angles, and orthogonality (zero inner product) of vectors. Inner product spaces generalize Euclidean...
    57 KB (7,357 words) - 12:13, 30 June 2025
  • In mathematics, Sobolev orthogonal polynomials are orthogonal polynomials with respect to a Sobolev inner product, i.e. an inner product with derivatives...
    3 KB (418 words) - 22:30, 20 March 2024
  • linear algebra, an orthogonal diagonalization of a normal matrix (e.g. a symmetric matrix) is a diagonalization by means of an orthogonal change of coordinates...
    2 KB (253 words) - 19:26, 18 May 2025
  • number λn. The interval of orthogonality is bounded by whatever roots Q has. The root of L is inside the interval of orthogonality. Letting R ( x ) = e ∫...
    35 KB (6,139 words) - 08:45, 3 February 2025
  • Copy-on-write CRUD Java Data Objects Java Persistence API System prevalence Orthogonality Service Data Object Snapshot (computer storage) Atkinson, M.P.; Bailey...
    8 KB (907 words) - 18:50, 8 December 2024
  • order, all pairs of which are orthogonal is called a set of mutually orthogonal Latin squares. This concept of orthogonality in combinatorics is strongly...
    42 KB (4,827 words) - 07:06, 13 April 2025
  • The Anderson orthogonality theorem is a theorem in physics by the physicist P. W. Anderson. It relates to the introduction of a magnetic impurity in a...
    1 KB (166 words) - 00:21, 11 July 2022