orthogonal
UK /ɔːˈθɒɡ.ə.nəl/ · US /ɔɹˈθɑ.ɡə.nəl/ adjective, noun
Forms orthogonals orthagonal
- adjective (geometry) Of two objects, at right angles; perpendicular to each other. “A chord and the radius that bisects it are orthogonal.”
- adjective Of a pair of vectors: having a zero inner product; perpendicular. “The normal vector and tangent vector at a given point are orthogonal.”
- adjective Of a square matrix: such that its transpose is equal to its inverse.
- adjective Of a linear transformation: preserving its angles.
- adjective Of grid graphs, board games and polyominoes: vertical or horizontal but not diagonal.
- adjective Of a pair of elements in an ortholattice: each less than or equal to the orthocomplement of the other.
- adjective (statistics) Statistically independent, with reference to variates.
- adjective (software engineering) 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.”
- noun An orthogonal line. “All of the orthogonals in this painting display an understanding of linear perspective.”
Synonyms
Antonyms
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.
Webster’s 1913
- adjective Right-angled; rectangular; as, an orthogonal intersection of one curve with another. Orthogonal projection. See under Orthographic.
Etymology [Cf. F. orthogonal.]
Sources: Wiktionary · WordNet 3.0 · Webster’s 1913 — from the Wiktionary entry “orthogonal”, CC BY-SA 4.0. Details