orthogonal


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Related to orthogonal: orthogonal projection, Orthogonal matrix, Orthogonal vectors

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 ?
1) are orthogonal with respect to the classical weight function w (x); cf.
International Workshop on Orthogonal Polynomials and Approximation Theory (2008: Madrid, Spain) Ed.
Hence there exists an orthogonal matrix Q such that A = Q[[LAMBDA].
Conclusion: Abnormalities in the correlation of orthogonal components of repolarization with depolarization are highly specific for a small group of patients with old myocardial infarction at high risk of ventricular tachycardia.
Keywords: Deformable template, Orthogonal curve, Polygonal object, Matching, Genetic algorithm.
An exploratory factor analysis was then conducted that extracted four factors with orthogonal rotation.
NIST and PTB staff have completed StatistiCAL[TM], a software algorithm that combines a decade of experience in applying orthogonal distance regression and other iterative techniques to solving vector network analyzer (VNA) calibrations with an easy-to-use user interface.
The center's orthogonal Y-axis structure enhances chip removal, and a rolling guideway for the Y- and Z-axes provides highly rigid cutting capacity.
In the 3D-view software system, displays of component cross-sections at orthogonal or oblique angles is possible.
Orthogonal Frequency Division Modulation (OFDM) is a new technology that promises to overcome signaling transmission barriers and step up transmission speeds.
In northern Louisiana, two orthogonal lineation orientations, and possibly a third, have been identified.
Lawrence and his collaborators are free to investigate how well the Paranormal Belief Scale (PBS) subscale structure is accounted for by any factor model that they select--including an Orthogonal Seven Factor Model.