# orthogonal

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## or·thog·o·nal

(ôr-thŏg′ə-nəl)
1. Relating to or composed of right angles.
2. Mathematics
a. Of or relating to a matrix whose transpose equals its inverse.
b. Of or relating to a linear transformation that preserves the length of vectors.
3. Very different or unrelated; sharply divergent: "Radical Islamists are ultimately seeking to create something orthogonal to our model of democracy" (Richard A. Clarke).

[From Greek orthogōnios : ortho-, ortho- + gōniā, angle; see genu- in Indo-European roots.]

or·thog′o·nal′i·ty (-năl′ĭ-tē) n.

## orthogonal

(ɔːˈθɒɡənəl)
1. (Mathematics) relating to, consisting of, or involving right angles; perpendicular
2. (Mathematics) maths
a. (of a pair of vectors) having a defined scalar product equal to zero
b. (of a pair of functions) having a defined product equal to zero
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

## or•thog•o•nal

(ɔrˈθɒg ə nl)

1. Also, orthographic. Math. pertaining to or involving right angles or perpendiculars.
2. Crystall. referable to a rectangular set of axes.
[1565–75; obsolete orthogon(ium) right triangle]
or•thog`o•nal′i•ty, n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Adj. 1 orthogonal - not pertinent to the matter under consideration; "an issue extraneous to the debate"; "the price was immaterial"; "mentioned several impertinent facts before finally coming to the point"irrelevant - having no bearing on or connection with the subject at issue; "an irrelevant comment"; "irrelevant allegations" 2 orthogonal - statistically unrelatedunrelated - lacking a logical or causal relation 3 orthogonal - having a set of mutually perpendicular axes; meeting at right angles; "wind and sea may displace the ship's center of gravity along three orthogonal axes"; "a rectangular Cartesian coordinate system"rectangularperpendicular - intersecting at or forming right angles; "the axes are perpendicular to each other"
Based on WordNet 3.0, Farlex clipart collection. © 2003-2012 Princeton University, Farlex Inc.
Translations

## orthogonal

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995
References in periodicals archive ?
Using these defining relations, we can design Muntz-Legendre type orthogonal filter as it is presented in [13].
Three different structures layer to layer, orthogonal and angle interlock weaves have been used.
"He brings a breadth of knowledge and skill-set from over 30 years as CEO, to enable Orthogonal to move to the next level."
However, due to shortage in orthogonal pilot sequence and the condensed network deployment, several neighbor cells may use the same pilot sequence (nonorthogonal) and the pilot spots in pilot patterns of the several neighbor cells may super impose, which will directly affect the performance of the system.
In this paper we present a graph-theoretical method for computing the maximum orthogonal subset of a set of coiled-coil peptides.
The two sets of four are what Leonard Euler (1707-1783) in the last years of his life called mutually orthogonal squares or 4x4 squares that could be superimposed so no two entries were duplicated.
Mason and Snaith apply the method that Conrey and Snaith used to calculate the n-correlation of the zeros of the Riemann zeta function to the zeros of families of L-functions with orthogonal or symplectic symmetry.
In the beginning of the 80's, Walter Gautschi developed the constructive theory of orthogonal polynomials on the real line, including effective algorithms for numerically generating orthogonal polynomials with respect to an arbitary measures, and provided rigorus and detailed stability analyses of these algorithms.
Wang Yiping combined with orthogonal experimental design method, through computer and mathematical analysis, to evaluate the influence degree of various parameters on slope stability.
At first, a suitable orthogonal sparse transform basis will be chosen to reduce the number of nonzero values in the sparse coefficient vector in order to get the signal sparse representation.

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