or·thog·o·nal

(ôr-thŏg′ə-nəl)

adj.

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.

or·thog′o·nal·ly adv.

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

orthogonal

(ɔːˈθɒɡənəl)

adj

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

orˈthogonally adv

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)

adj.

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•ly, adv.

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" extraneous, impertinent, immaterial irrelevant - having no bearing on or connection with the subject at issue; "an irrelevant comment"; "irrelevant allegations"
	2.	orthogonal - statistically unrelated unrelated - 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" rectangular perpendicular - intersecting at or forming right angles; "the axes are perpendicular to each other"

Translations

orthogonal

[ɔːˈθɒgən/əl] adj → ortogonale

Collins Italian Dictionary 1st Edition © HarperCollins Publishers 1995

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References in periodicals archive

Using these defining relations, we can design Muntz-Legendre type orthogonal filter as it is presented in [13].

Application of the hybrid bond graphs and orthogonal rational filters in sag voltage effect reduction

Three different structures layer to layer, orthogonal and angle interlock weaves have been used.

EFFECT OF WEAVE STRUCTURE ON TENSILE STRENGTH AND YARN CRIMP OF THREE-DIMENSIONAL FIBRE WOVEN FABRIC

"He brings a breadth of knowledge and skill-set from over 30 years as CEO, to enable Orthogonal to move to the next level."

Orthogonal names new leader

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.

Pilot Contamination Effect Mitigation in Massive Multiple Input Multiple Output System and Analysis of Mitigation Techniques

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.

EULER ENTERTAINMENTS

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.

Orthogonal and Symplectic n-level Densities

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.

Dedicated to Walter Gautschi on the occasion of his 90th birthday

Wang Yiping combined with orthogonal experimental design method, through computer and mathematical analysis, to evaluate the influence degree of various parameters on slope stability.

Experimental Study on the Ratio of Similar Materials in Weak Surrounding Rock Based on Orthogonal Design

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.

Composite Plate Phased Array Structural Health Monitoring Signal Reconstruction Based on Orthogonal Matching Pursuit Algorithm