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orthogonal
or·thog·o·nal O0130000 (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) adj1. (Mathematics) relating to, consisting of, or involving right angles; perpendicular2. (Mathematics) maths a. (of a pair of vectors) having a defined scalar product equal to zerob. (of a pair of functions) having a defined product equal to zero orˈthogonally advor•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. Thesaurus| 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"extraneous, impertinent, immaterialirrelevant - having no bearing on or connection with the subject at issue; "an irrelevant comment"; "irrelevant allegations" | | 2. | orthogonal - statistically unrelatedunrelated - 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"rectangularperpendicular - intersecting at or forming right angles; "the axes are perpendicular to each other" |
Translationsorthogonalκάθετοςορθογώνιοςorthogonalortogonaleorthogonal
orthogonal[ȯr′thäg·ən·əl] (computer science) An area of a computer display in which units of distance are the same horizontally and vertically so that there is no distortion. A viewing area in which positions are determined by using a cartesian coordinate system with horizontal and vertical axes. (mathematics) Perpendicular, or some concept analogous to it. orthogonal (geometry)At 90 degrees (right angles).
N mutually orthogonal vectors span an N-dimensionalvector space, meaning that, any vector in the space can beexpressed as a linear combination of the vectors. This istrue of any set of N linearly independent vectors.
The term is used loosely to mean mutually independent or wellseparated. It is used to describe sets of primitives orcapabilities that, like linearly independent vectors ingeometry, span the entire "capability space" and are in somesense non-overlapping or mutually independent. For example,in logic, the set of operators "not" and "or" is described asorthogonal, but the set "nand", "or", and "not" is not(because any one of these can be expressed in terms of theothers).
Also used loosely to mean "irrelevant to", e.g. "This may beorthogonal to the discussion, but ...", similar to "going offat a tangent".
See also orthogonal instruction set.orthogonalAt right angles. The term is used to describe electronic signals that appear at 90 degree angles to each other. It is also widely used to describe conditions that are contradictory, or opposite, rather than in parallel or in sync with each other.orthogonal
orthogonal Imaging
adjective An MRI term referring to a plane or section perpendicular to the XYZ co-ordinate system.AcronymsSeeOorthogonal
Related to orthogonal: orthogonal projection, Orthogonal matrix, Orthogonal vectorsSynonyms for orthogonaladj not pertinent to the matter under considerationSynonyms- extraneous
- impertinent
- immaterial
Related Wordsadj statistically unrelatedRelated Wordsadj having a set of mutually perpendicular axesSynonymsRelated Words |