# Definitions for **orthogonality**

### This page provides all possible meanings and translations of the word **orthogonality**

### Random House Webster's College Dictionary

or•thog•o•nalɔrˈθɒg ə nl(adj.)

Math. pertaining to or involving right angles or perpendiculars.

**Category:**Math**Ref:**Also, orthographic. 2Crystall. referable to a rectangular set of axes.

**Category:**Crystallography

#### Origin of **orthogonal**:

1565–75; obs. orthogon(ium) right triangle

or•thog`o•nal′i•ty(n.)

### Princeton's WordNet

orthogonality, perpendicularity, orthogonal opposition(noun)

the relation of opposition between things at right angles

orthogonality(noun)

the quality of lying or intersecting at right angles

### Wiktionary

orthogonality(Noun)

the property of being orthogonal

### Freebase

Orthogonality

In mathematics, orthogonality is the relation of two lines at right angles to one another, and the generalization of this relation into n dimensions; and to a variety of mathematical relations thought of as describing non-overlapping, uncorrelated, or independent objects of some kind. The concept of orthogonality has been broadly generalized in mathematics, science, and engineering, especially since the beginning of the 16th century. Much of it has involved the concepts of mathematical functions, calculus, and linear algebra.

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"orthogonality." *Definitions.net.* STANDS4 LLC, 2014. Web. 26 Nov. 2014. <http://www.definitions.net/definition/orthogonality>.