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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.


the state or condition of being orthogonal


the state or quality of being right-angled or perpendicular. — orthogonal, adj.
See also: Form
the state or quality of being right-angled or perpendicular. — orthogonal, adj.
See also: Mathematics
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.orthogonality - the relation of opposition between things at right angles
opposition - a direction opposite to another
2.orthogonality - the quality of lying or intersecting at right angles
oblongness, rectangularity - the property of being shaped like a rectangle
References in periodicals archive ?
Solitonic coding signal processing with using the orthogonality properties needed in classical nonlinear imaging potentially allows the use of elastic properties of soliton-soliton interactions in order to conduct fast nonlinear imaging.
Orthogonality based filters for MMSE- dTHP were derived in (Liu and Krzymien, 2008).
Part I covers the basic concepts of linear algebra, including vectors and matrices, linear independence and basis sets, determinants, eigenvalues, product spaces, and orthogonality, canonical forms, matrices with special properties such as Hermitian and unitary, and spectral theory.
We also utilize the C-test to evaluate orthogonality of three subsets of instruments ([DELTA]fd, [DELTA]usgdp, and [DELTA]jgdp).
The orthogonality relations of these polynomials are given by
Taking advantage of the orthogonality of the eigenfunctions [R.
The orthogonality condition of the optimal forecast under a flexible loss function and the estimate of [phi] are derived by assuming the forecasters minimize the expected loss function conditional on the information set available at the time of the forecast.
Following an iterative strategy, the sparse coded representation is generated in which selected features satisfy the orthogonality assumption.
At the plate edge the orthogonality relation is simplified as the stresses equal to zero.
There are several orthogonality notions on a real normed spaces as Birkhoff-James, semi-inner product, Carlsson, Singer, Roberts, Pythagorean, isosceles and Diminnie (see, e.
That is to say, [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] have orthogonality property.

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