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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 ?
Foreign exchange rate market efficiency may be also tested by carrying out orthogonality tests of the forward rate forecast error ([s.
12), applying the orthogonality condition of exponential function with respect to [phi] from 0 to 2[pi] gives
Many definitions of orthogonality in Banach spaces were introduced over the years.
Previously, the most common way to test the orthogonality condition has been to regress [s.
This, in addition to (4)-(5), induces one more orthogonality relation [30, 31]:
It involves a modal feed network which makes use of the orthogonality of the eigenmodes of the array to achieve decoupling.
Usually, two-dimensional diffraction problems are reduced to independent consideration of two different field polarizations [1-5]: the first of which is characterized by orthogonality of the electric vector to the plane of wave incidence (we call that the H polarization), and the second one is defined by orthogonality of the magnetic vector to this plane (the E polarization).
One neither has to impose untested orthogonality restrictions, as required when estimating under the assumption of rational expectations, nor has to make restrictive assumptions about the precise form of nonrationality present in agents' forecast functions.
We use the generalized orthogonality principle to tune the forecaster parameters.
Most of the work about the Sobolev-type polynomials has been done in the case that the orthogonality measure d[mu] corresponds to classical polynomials.
geometric transformations against the inherent orthogonality of the grid as a reference, remained clearly articulated.
As for the Fourier series, we rely on an orthogonality principle, but this time replacing the integral by a sum.

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