- duality on plane
- мат. двойственность на плоскости
Большой англо-русский и русско-английский словарь. 2001.
duality on plane
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Duality (projective geometry) — A striking feature of projective planes is the symmetry of the roles played by points and lines in the definitions and theorems, and (plane) duality is the formalization of this metamathematical concept. There are two approaches to the subject of … Wikipedia
Duality (mathematics) — In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one to one fashion, often (but not always) by means of an involution operation: if the dual… … Wikipedia
duality — /dooh al i tee, dyooh /, n. 1. a dual state or quality. 2. Math. a symmetry within a mathematical system such that a theorem remains valid if certain objects, relations, or operations are interchanged, as the interchange of points and lines in a… … Universalium
Projective plane — See real projective plane and complex projective plane, for the cases met as manifolds of respective dimension 2 and 4 In mathematics, a projective plane has two possible definitions, one of them coming from linear algebra, and another (which is… … Wikipedia
Englert-Greenberger duality relation — The Englert Greenberger duality relation relates the visibility, V, of interference fringes with the definiteness, or distinguishability, D, of the photons paths in quantum optics. Gregg Jaeger, Abner Shimony, Lev Vaidman, Two interferometric… … Wikipedia
Duel and Duality — The duelling theme of the episode is illustrated by the titlecard artwork. Episode no. Series 3 Episode 6 … Wikipedia
principle of duality — a principle in projective geometry: from a geometric theorem another theorem may be derived by substituting in the original theorem the word point for the word line in the case of a point or line in the plane or the word point for the word plane… … Useful english dictionary
Mysterious duality — In theoretical physics, mysterious duality is a set of mathematical similarities between some objects and laws (and perhaps all of them, if the conjecture is extended appropriately) describing M theory on k dimensional tori (i.e. type II… … Wikipedia
Desargues' theorem — Perspective triangles. Corresponding sides of the triangles, when extended, meet at points on a line called the axis of perspectivity. The lines which run through corresponding vertices on the triangles meet at a point called the center of… … Wikipedia
Projective geometry — is a non metrical form of geometry, notable for its principle of duality. Projective geometry grew out of the principles of perspective art established during the Renaissance period, and was first systematically developed by Desargues in the 17th … Wikipedia
Dual polyhedron — The dual of a cube is an octahedron, shown here with vertices at the cube face centers … Wikipedia
