- harmonic conjugates
-
Math.two points whose cross ratio with two specified points equals -1.[1880-85]
* * *
Universalium. 2010.
* * *
Universalium. 2010.
harmonic conjugates — noun plural : the two points that divide a line segment internally and externally in the same ratio * * * Math. two points whose cross ratio with two specified points equals 1. [1880 85] * * * harmonic conjugates plural noun Two points dividing a … Useful english dictionary
Projective harmonic conjugates — is defined by the following harmonic construction::“Given three collinear points A, B, C, let L be a point not lying on their join and let any line through C met LA, LB at M, N respectively. If AN and BM met at K , and LK meets AB at D , then D… … Wikipedia
Harmonic conjugate — For geometric conjugate points, see Projective harmonic conjugates. In mathematics, a function defined on some open domain is said to have as a conjugate a function if and only if they are respectively real and imaginary part of a holomorphic… … Wikipedia
harmonic division — noun : the division of a line segment at two points internally and externally in the same ratio compare harmonic conjugates * * * harmonic division noun Division by such conjugates • • • Main Entry: ↑harmony … Useful english dictionary
harmonic row — noun or harmonic range : a set of four collinear points compare harmonic conjugates … Useful english dictionary
Harmonic wavelet transform — In the mathematics of signal processing, the harmonic wavelet transform, introduced by David Edward Newland in 1993, is a wavelet based linear transformation of a given function into a time frequency representation. It combines advantages of the… … Wikipedia
Cross-ratio — D is the harmonic conjugate of C with respect to A and B In geometry, the cross ratio, also called double ratio and anharmonic ratio, is a special number associated with an ordered quadruple of collinear points, particularly points on a… … Wikipedia
Paraboloid — of revolution In mathematics, a paraboloid is a quadric surface of special kind. There are two kinds of paraboloids: elliptic and hyperbolic. The elliptic paraboloid is shaped like an oval cup and can have a maximum or minimum point. In a… … Wikipedia
Jean-Victor Poncelet — Infobox Scientist name = Jean Victor Poncelet image width = 250px caption = birth date = birth date|1788|7|1|fd=y birth place = Metz, France residence = Metz, France (later Paris, France) nationality = French death date = death date and… … Wikipedia
List of mathematics articles (P) — NOTOC P P = NP problem P adic analysis P adic number P adic order P compact group P group P² irreducible P Laplacian P matrix P rep P value P vector P y method Pacific Journal of Mathematics Package merge algorithm Packed storage matrix Packing… … Wikipedia