orthogonal

orthogonal
adjective Etymology: Middle French, from Latin orthogonius, from Greek orthogōnios, from orth- + gōnia angle — more at -gon Date: 1612 1. a. intersecting or lying at right angles b. having perpendicular slopes or tangents at the point of intersection <
orthogonal curves
> 2. having a sum of products or an integral that is zero or sometimes one under specified conditions: as a. of real-valued functions having the integral of the product of each pair of functions over a specific interval equal to zero b. of vectors having the scalar product equal to zero c. of a square matrix having the sum of products of corresponding elements in any two rows or any two columns equal to one if the rows or columns are the same and equal to zero otherwise ; having a transpose with which the product equals the identity matrix 3. of a linear transformation having a matrix that is orthogonal ; preserving length and distance 4. composed of mutually orthogonal elements <
an orthogonal basis of a vector space
> 5. statistically independent • orthogonality noun • orthogonally adverb

New Collegiate Dictionary. 2001.

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  • orthogonal — orthogonal, ale, aux [ ɔrtɔgɔnal, o ] adj. • 1520; du lat. d o. gr. orthogonus « à angle droit » ♦ Géom. Qui forme un angle droit, qui se fait à angle droit. ⇒ perpendiculaire. Deux droites orthogonales. Vecteurs orthogonaux deux à deux.… …   Encyclopédie Universelle

  • Orthogonal — Or*thog o*nal, a. [Cf. F. orthogonal.] Right angled; rectangular; as, an orthogonal intersection of one curve with another. [1913 Webster] {Orthogonal projection}. See under {Orthographic}. [1913 Webster] …   The Collaborative International Dictionary of English

  • orthogonal — from Fr. orthogonal, from orthogone, from L.L. orthogonius, from Gk. orthogonios right angled, from ortho straight (see ORTHO (Cf. ortho )) + gonia angle, related to gony knee (see KNEE (Cf …   Etymology dictionary

  • Orthogonāl — (griech.), soviel wie rechtwinklig. Orthogonale Substitution, s. Substitution; orthogonale Trajektorien, s. Trajektorien …   Meyers Großes Konversations-Lexikon

  • Orthogonal — Orthogonal, so viel als senkrecht. Orthogonaltrajektorien einer Kurvenschar heißen die Kurven, welche die Scharkurven, wo sie sie treffen, rechtwinklig durchschneiden. Ist F (x, y, y ) = 0 die Differentialgleichung der Kurvenschar, so ist F (x, y …   Lexikon der gesamten Technik

  • orthogonal — orthogonal, ale (or to go nal, na l ) adj. Terme de géométrie descriptive. Une projection est dite orthogonale quand chaque ligne projetant un point de la figure est perpendiculaire au plan de projection. ÉTYMOLOGIE    Ortho..., et terme grec… …   Dictionnaire de la Langue Française d'Émile Littré

  • orthogonal — [ôr thäg′ə nəl] adj. [Fr < orthogone, right angled < L orthogonius < Gr orthogōnios: see ORTHO & GON] having to do with right angles; perpendicular; rectangular orthogonally adv …   English World dictionary

  • Orthogonal — Orthogonalité L équation régissant la propagation de la chaleur se résout à l aide de l orthogonalité dans un espace de dimension infinie. En mathématiques, l orthogonalité est un concept d algèbre linéaire associé à une forme bilinéaire. Un cas… …   Wikipédia en Français

  • Orthogonal — Die Orthogonalität bezeichnet: in der Mathematik das Konzept des Senkrechtstehens und des rechten Winkels (daher die Benennung orthogonal aus dem Griechischen für rechtwinklig); in der Informatik die freie Kombinierbarkeit unabhängiger Konzepte… …   Deutsch Wikipedia

  • orthogonal — adjective /ɔːˈθɒɡənəl/ a) pertaining to right angles; perpendicular (to) A chord and the radius that bisects it are orthogonal. b) Of two functions, linearly independent; having a zero inner product. The content of the message should be… …   Wiktionary

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