Dictionary
Thesaurus
Encyclopedia
Translator
Web
Related Searches
Nearby Words

orthogonality

 - 4 dictionary results

or⋅thog⋅o⋅nal

  [awr-thog-uh-nl]
Use orthogonality in a Sentence
–adjective
1. Mathematics.
a. Also, orthographic. pertaining to or involving right angles or perpendiculars: an orthogonal projection.
b. (of a system of real functions) defined so that the integral of the product of any two different functions is zero.
c. (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.
d. (of two vectors) having an inner product equal to zero.
e. (of a linear transformation) defined so that the length of a vector under the transformation equals the length of the original vector.
f. (of a square matrix) defined so that its product with its transpose results in the identity matrix.
2. Crystallography. referable to a rectangular set of axes.
Origin:
1565–75; obs. orthogon(ium) right triangle (< LL orthogōnium < Gk orthognion (neut.) right-angled, equiv. to ortho- ortho- + -gōnion -gon ) + -al 1

Related forms:
or⋅thog⋅o⋅nal⋅i⋅ty, noun
or⋅thog⋅o⋅nal⋅ly, adverb
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2009.
Cite This Source Link To orthogonality
or·thog·o·nal   (ôr-thŏg'ə-nəl)   
adj.  

  1. Relating to or composed of right angles.

  2. Mathematics

    1. Of or relating to a matrix whose transpose equals its inverse.

    2. Of or relating to a linear transformation that preserves the length of vectors.


[From Greek orthogōnios : ortho-, ortho- + gōniā, angle; see genu-1 in Indo-European roots.]
or·thog'o·nal'i·ty (-nāl'ĭ-tē) n., or·thog'o·nal·ly adv.
The American Heritage® Dictionary of the English Language, Fourth Edition
Copyright © 2009 by Houghton Mifflin Company.
Published by Houghton Mifflin Company. All rights reserved.
Cite This Source
Medical Dictionary

Main Entry: or·thog·o·nal
Pronunciation: or-'thäg-&n-&l
Function: adjective
1 a : lying or intersectingat right angles b : being, using, or made with three ECG leads whose axes are perpendicular to each other and to the frontal, horizontal, and sagittal axes of the body orthogonal leads were recorded simultaneously on magnetic tape —Massoud Nemati et al>
2 : statistically independent orthogonal … factors —O. D. Duncan>
Merriam-Webster's Medical Dictionary, © 2002 Merriam-Webster, Inc.
Cite This Source
Science Dictionary
orthogonal   (ôr-thŏg'ə-nəl)  Pronunciation Key 

  1. Relating to or composed of right angles.

  2. Relating to a matrix whose transpose equals its inverse.

  3. Relating to a linear transformation that preserves the length of vectors.


The American Heritage® Science Dictionary
Copyright © 2002. Published by Houghton Mifflin. All rights reserved.
Cite This Source
Search another word or see orthogonality on Thesaurus | Reference
FacebookTwitterFollow us:
Partner Sites:
Ask AnswersEviteExpediaHotelsHotwireLife123LiveDailyMy Way