orthogonal


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or·thog·o·nal

 (ôr-thŏg′ə-nəl)
adj.
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.

orthogonal

(ɔːˈθɒɡənəl)
adj
1. (Mathematics) relating to, consisting of, or involving right angles; perpendicular
2. (Mathematics) maths
a. (of a pair of vectors) having a defined scalar product equal to zero
b. (of a pair of functions) having a defined product equal to zero
orˈthogonally adv

or•thog•o•nal

(ɔrˈθɒg ə nl)

adj.
1. Also, orthographic. Math. pertaining to or involving right angles or perpendiculars.
2. Crystall. referable to a rectangular set of axes.
[1565–75; obsolete orthogon(ium) right triangle]
or•thog′o•nal•ly, adv.
or•thog`o•nal′i•ty, n.
ThesaurusAntonymsRelated WordsSynonymsLegend:
Adj.1.orthogonal - not pertinent to the matter under consideration; "an issue extraneous to the debate"; "the price was immaterial"; "mentioned several impertinent facts before finally coming to the point"
irrelevant - having no bearing on or connection with the subject at issue; "an irrelevant comment"; "irrelevant allegations"
2.orthogonal - statistically unrelated
unrelated - lacking a logical or causal relation
3.orthogonal - having a set of mutually perpendicular axes; meeting at right angles; "wind and sea may displace the ship's center of gravity along three orthogonal axes"; "a rectangular Cartesian coordinate system"
perpendicular - intersecting at or forming right angles; "the axes are perpendicular to each other"
Translations
References in periodicals archive ?
Orthogonal Polynomials in MATLAB: Exercises and Solutions
Qualcomm develops and commercialises a digital communication technology called code division multiple access (CDMA) and orthogonal frequency division multiple access (OFDMA) family of technologies, including long-term evolution (LTE), which is an Orthogonal Frequency Division Multiplexing (OFDM)-based standard that uses OFDMA and single-carrier Frequency Division Multiple Access (FDMA), for cellular wireless communication applications.
Furthermore, the cleanliness of 80 roots was assessed based on orthogonal and mesio-angulated radiographs.
Orthogonal frequency division multiplexing (OFDM) is a very popular modulation technique used in high speed wireless communications due to its high data rate transmission ability with high bandwidth qualifications.
Contract Awarded for Delivery of orthogonal wide-azimuth survey to improve subsalt seismic imaging in the Perdido deepwater area offshore Mexico.
We write P(m) for the convex cone of real m x m positive definite matrices, and we write @(m) for the orthogonal group, that is, the set of mxm orthogonal matrices.
The orthogonal series expansion using a vector of random variables to represent the random field is widely exploited and applied in the stochastic structural systems [14-17].
Outlining a connection from random matrices to the six-vertex model of statistical physics, Bleher and Liechty focus on the Riemann-Hilbert method for both continuous and discrete orthogonal polynomials, and applications of this approach to matrix models as well as to the six-vertex model.
With its small package, the accelerometer is suited for vibration measurements across three orthogonal axes on aircraft engines, aerospace components, ground-based turbine engines, power plant equipment and other machinery that operates at high temperatures.
From the necessity for mathematical tools for analysis of complex dynamical systems, orthogonal filters were derived.
Known results on orthogonal systems and permutation polynomials vectors over finite fields are extended to modular algebras of the form [L.
The columns employ orthogonal selectivity to speed up effective method development and maximize the effectiveness of users' column screening systems, while fitting any HPLC or UHPLC instrumentation.