Etymology From Middle French orthogonal, in turn from Medieval Latin orthogōnālis and Latin orthogōnius (“right-angled”), ultimately from Ancient Greek ὀρθογώνιος (orthogṓnios, “rectangular”). By surface analysis, ortho- + -gon + -al.
Geometry, Mathematics, Sciences Of two objects, at right angles; perpendicular to each other.
A chord and the radius that bisects it are orthogonal.
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Mathematics, Sciences Of a pair of vectors: having a zero inner product; perpendicular.
The normal vector and tangent vector at a given point are orthogonal.
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Mathematics, Sciences Of a square matrix: such that its transpose is equal to its inverse.
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Mathematics, Sciences Of a linear transformation: preserving its angles.
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Mathematics, Sciences Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
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Mathematics, Sciences Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
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Mathematics, Sciences, Statistics Statistically independent, with reference to variates.
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Computing, Engineering, Mathematics, Natural sciences, Physical sciences, Sciences, Software Of two or more aspects of a problem, able to be treated separately; of a design, exhibiting consistency and composability.
The content of the message should be orthogonal to the means of its delivery.
An orthogonal approach also promotes reuse. If components have specific, well-defined responsibilities, they can be combined with new components in ways that were not envisioned by their original implementors.1999, Andrew Hunt, David Thomas, The Pragmatic Programmer: From Journeyman to Master, Addison-Wesley Professional, →ISBN, page 36:
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Of two or more problems or subjects, independent of or irrelevant to each other.
Even in a geostate, some people are willing to fight and die for their views, but the institutional change to a polystate seems somewhat orthogonal to such issues.2014 March 22, Rick Weber, “Polystate: Book 2”, in Notes on Liberty:
Etymology From Middle French orthogonal, in turn from Medieval Latin orthogōnālis and Latin orthogōnius (“right-angled”), ultimately from Ancient Greek ὀρθογώνιος (orthogṓnios, “rectangular”). By surface analysis, ortho- + -gon + -al.
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An orthogonal line.
All of the orthogonals in this painting display an understanding of linear perspective.