- Riemann sphere
-
Math.a sphere used for a stereographic projection.[named after G. F. B. RIEMANN]
* * *
Universalium. 2010.
* * *
Universalium. 2010.
Riemann sphere — The Riemann sphere can be visualized as the complex number plane wrapped around a sphere (by some form of stereographic projection – details are given below). In mathematics, the Riemann sphere (or extended complex plane), named after the 19th… … Wikipedia
Riemann sphere — Math. a sphere used for a stereographic projection. [named after G. F. B. RIEMANN] … Useful english dictionary
Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… … Wikipedia
Riemann mapping theorem — In complex analysis, the Riemann mapping theorem states that if U is a simply connected open subset of the complex number plane Bbb C which is not all of Bbb C, then there exists a biholomorphic (bijective and holomorphic) mapping f, from U, onto … Wikipedia
Riemann-Hurwitz formula — In mathematics, the Riemann Hurwitz formula, named after Bernhard Riemann and Adolf Hurwitz, describes the relationship of the Euler characteristics of two surfaces when one is a ramified covering of the other. It therefore connects ramification… … Wikipedia
Riemann's differential equation — In mathematics, Riemann s differential equation is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0,1, and infin;.DefinitionThe… … Wikipedia
Riemann–Roch theorem — In mathematics, specifically in complex analysis and algebraic geometry, the Riemann–Roch theorem is an important tool in the computation of the dimension of the space of meromorphic functions with prescribed zeroes and allowed poles. It relates… … Wikipedia
Sphere de Riemann — Sphère de Riemann Pour les articles homonymes, voir Sphère (homonymie). En mathématiques, la sphère de Riemann est une manière de prolonger le plan des nombres complexes avec un point additionnel à l infini, de manière à ce que certaines… … Wikipédia en Français
Sphère de riemann — Pour les articles homonymes, voir Sphère (homonymie). En mathématiques, la sphère de Riemann est une manière de prolonger le plan des nombres complexes avec un point additionnel à l infini, de manière à ce que certaines expressions mathématiques… … Wikipédia en Français
Sphère de Gauss — Sphère de Riemann Pour les articles homonymes, voir Sphère (homonymie). En mathématiques, la sphère de Riemann est une manière de prolonger le plan des nombres complexes avec un point additionnel à l infini, de manière à ce que certaines… … Wikipédia en Français