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
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
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
\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...
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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...
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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...
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The proper orthogonal decomposition is a numerical method that enables a reduction in the complexity of computer intensive simulations such as computational...
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in 1971 with the introduction of a guard interval, providing better orthogonality in transmission channels affected by multipath propagation. Each subcarrier...
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circle orthogonal to the circle of ideal points bounding the disk. Orthogonality Radical axis Power center (geometry) Apollonian circles Bipolar coordinates...
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Existential risk from artificial intelligence (redirect from Orthogonality thesis)
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
Projection (linear algebra) (redirect from Orthogonal projection)
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
Inner product space (redirect from Orthogonal vector)
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...
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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...
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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
Persistence (computer science) (redirect from Orthogonal persistence)
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