ORTHOGONAL

orthogonal, rectangular

(adjective) 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”

orthogonal

(adjective) statistically unrelated

extraneous, immaterial, impertinent, orthogonal

(adjective) 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”

Source: WordNet® 3.1

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Etymology

Adjective

orthogonal (not comparable)

(geometry) Of two objects, at right angles; perpendicular to each other.

(mathematics)

Of a pair of vectors: having a zero inner product; perpendicular.

Of a square matrix: such that its transpose is equal to its inverse.

Of a linear transformation: preserving its angles.

Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.

Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.

(statistics) Statistically independent, with reference to variates.

(software engineering) Of two or more aspects of a problem, able to be treated separately.

Of two or more problems or subjects, independent of or irrelevant to each other.

Noun

orthogonal (plural orthogonals)

An orthogonal line

Source: Wiktionary

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Or*thog"o*nal, a. Etym: [Cf. F. orthogonal.]

Definition: Right-angled; rectangular; as, an orthogonal intersection of one curve with another. Orthogonal projection. See under Orthographic.

Source: Webster’s Unabridged Dictionary 1913 Edition

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