Sylvester theorem

Sylvester theorem
Математика: теорема Сильвестра

Универсальный англо-русский словарь. . 2011.

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  • Sylvester–Gallai theorem — The Sylvester–Gallai theorem asserts that given a finite number of points in the Euclidean plane, either all the points are collinear; or there is a line which contains exactly two of the points. This claim was posed as a problem by J. J.… …   Wikipedia

  • Sylvester's determinant theorem — In matrix theory, Sylvester s determinant theorem is a theorem useful for evaluating certain types of determinants. It is named after James Joseph Sylvester.The theorem states that if A , B are matrices of size p times; n and n times; p… …   Wikipedia

  • Sylvester's sequence — In number theory, Sylvester s sequence is a sequence of integers in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are::2, 3, 7, 43, 1807, 3263443, 10650056950807,… …   Wikipedia

  • Sylvester's law of inertia — In linear algebra, Sylvester s law of inertia is a theorem describing a canonical representative for a real symmetric matrix under congruence transformations. It is named for J. J. Sylvester who stated and proved it in 1852.The theorem states… …   Wikipedia

  • Sylvester's formula — In matrix theory, Sylvester s formula, named after James Joseph Sylvester, expresses matrix functions in terms of the eigenvalues and eigenvectors of a matrix. It is only valid for diagonalizable matrices; an extension due to Buchheim covers the… …   Wikipedia

  • Théorème de Sylvester–Gallai — Le théorème de Sylvester–Gallai affirme qu étant donné un ensemble fini de points du plan, on a l alternative suivante : soit tous les points sont colinéaires, soit il existe une droite qui contient exactement deux de ces points (droite… …   Wikipédia en Français

  • James Joseph Sylvester — Infobox Scientist box width = 300px name = James Joseph Sylvester image width = 300px caption = James Joseph Sylvester (1814 1897) birth date = birth date|1814|09|03 birth place = London, England death date = death date and… …   Wikipedia

  • De Bruijn–Erdős theorem (incidence geometry) — See also: De Bruijn–Erdős theorem (graph theory) In incidence geometry, the De Bruijn–Erdős theorem, originally published by Nicolaas Govert de Bruijn and Paul Erdős (1948), states a lower bound on the number of lines determined by n points… …   Wikipedia

  • Suite de Sylvester — Démonstration graphique de la convergence vers 1 de la somme 1/2 + 1/3 + 1/7 + 1/43 +... Chaque rang de n carrés de côté 1/n a une aire totale de 1/n ; l ensemble des rangs recouvre exactement un carré plus grand, d aire 1. [Les carrés de… …   Wikipédia en Français

  • Sucesión de Sylvester — Demostración gráfica de la convergencia de la suma a 1. Cada fila de k cuadrados de lado tiene un área total de , y todos los cuadra …   Wikipedia Español

  • James Joseph Sylvester — James Joseph Sylvester, mathématicien et géomètre anglais, est né à Londres le 3 septembre 1814 et est décédé à Mayfair le 13 mars 1897. Il a commencé à enseigner les …   Wikipédia en Français


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