# orthogonality

Also found in: Thesaurus, Medical, Encyclopedia, Wikipedia.

## or·thog·o·nal

(ôr-thŏg′ə-nəl)
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.

## orthogonality

(ɔːˈθɒɡənælɪtɪ)
n
the state or condition of being orthogonal

## orthogonality

the state or quality of being right-angled or perpendicular. — orthogonal, adj.
the state or quality of being right-angled or perpendicular. — orthogonal, adj.
ThesaurusAntonymsRelated WordsSynonymsLegend:
 Noun 1 orthogonality - the relation of opposition between things at right anglesopposition - a direction opposite to another 2 orthogonality - the quality of lying or intersecting at right anglesoblongness, rectangularity - the property of being shaped like a rectangle
Translations
orthogonalité
References in periodicals archive ?
The 15 papers report new developments in the symmetrization of Jordan dialgebras, a prismatic classifying space, simple right conjugacy closed loops, multiplicative loops of Jha-Johnson semifields, and the orthogonality of approximate Latin squares and quasigroups.
Hua Ma, has concluded that, if vector space is having the following symmetry, orthogonality, homogeneity and completeness, it should have three dimensions having the energy obeys the law of conservation and the dynamics law is ruled by the covariance principle and hence we can define the cross product in the space.
The Coastal Act offers several advantages for measuring the effects of land-use regulations, including plausible exogeneity of the boundary location, which we confirm using historical data on boundary placement, and orthogonality of the boundary to other jurisdictional divisions.
Gyro Errors Accelerometer Errors Bias Instability ([??]/hr) Bias Instability (m/[s.sup.2]) Angle Random Walk ([??]/[??]hr) Velocity Random Walk (m/s/[??]hr) Scale Factor & Non-Linearity ([??]/hr) Scale Factor & Non-Linearity (m/[s.sup.2]) Axis Orthogonality ([??]) Axis Orthogonality ([??]) These errors always need to be considered, however, additional errors can also be important such as the sensitivity of the gyro to linear acceleration, and the accelerometer bias sensitivity to vibration.
Multiple orthogonal polynomials are polynomials of one variable that satisfy orthogonality conditions with respect to a certain number of weight functions.
The orthogonality of OAM modes is utilized to increase the capacity of communication in the form of optical fiber [8] and wireless communication [9-11].
In fact, we have the following orthogonality relation:
The 2nd and 3rd modes both begin to show a low-temperature interval area in the right direction of the pipeline, and the left parts of such 2nd and 3rd modes exhibit the characteristics of opposite changes with orthogonality. From the 4th mode, the increase in the number of static temperature variation interval area in the pipeline occurs.
To minimize the error, we should calculate the coefficients of the chosen functions, according to the method of orthogonality, for instance.

Site: Follow: Share:
Open / Close