[ awr-thog-uh-nl ]
/ ɔrˈθɒg ə nl /
- Also orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection.
- (of a system of real functions) defined so that the integral of the product of any two different functions is zero.
- (of a system of complex functions) defined so that the integral of the product of a function times the complex conjugate of any other function equals zero.
- (of two vectors) having an inner product equal to zero.
- (of a linear transformation) defined so that the length of a vector under the transformation equals the length of the original vector.
- (of a square matrix) defined so that its product with its transpose results in the identity matrix.
Crystallography. referable to a rectangular set of axes.
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Origin of orthogonal
OTHER WORDS FROM orthogonalor·thog·o·nal·i·ty, nounor·thog·o·nal·ly, adverb
Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2020
British Dictionary definitions for orthogonal
/ (ɔːˈθɒɡənəl) /
relating to, consisting of, or involving right angles; perpendicular
- (of a pair of vectors) having a defined scalar product equal to zero
- (of a pair of functions) having a defined product equal to zero
Derived forms of orthogonalorthogonally, adverb
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012
Scientific definitions for orthogonal
[ ôr-thŏg′ə-nəl ]
Relating to or composed of right angles.
Relating to a matrix whose transpose equals its inverse.
Relating to a linear transformation that preserves the length of vectors.
The American Heritage® Science Dictionary Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.