goursatの例文

• The hypotheses of Goursat's theorem can be weakened significantly.
• The extended symmetry of each Goursat tetrahedron is also given below.
• In this form, Goursat's theorem also implies the snake lemma.
• Maybe the trick can be found in the proof of Goursat-lemma.
• Darmois earned his doctorate from the University of Paris in 1921, under supervision of 蒬ouard Goursat.
• As a consequence of Goursat's theorem, one can derive a very general version on the Schreier theorem in Goursat varieties.
• As a consequence of Goursat's theorem, one can derive a very general version on the Schreier theorem in Goursat varieties.
• Malikov suggested new methods to obtain the necessary conditions for optimality in described processes with simple equations, integrodifferential equations, Goursat-Darboux and acted equations.
• "' Goursat's lemma "', named after the French mathematician 蒬ouard Goursat, is an algebraic theorem about subgroups of the groups.
• "' Goursat's lemma "', named after the French mathematician 蒬ouard Goursat, is an algebraic theorem about subgroups of the groups.
• Cartan's idea of introducing the frame bundle as a central object was the natural culmination of the theory of moving frames, developed in France by Goursat.
• An extended symmetry of the Goursat tetrahedron is a semidirect product of the Coxeter group symmetry and the fundamental domain symmetry ( the Goursat tetrahedron in these cases ).
• An extended symmetry of the Goursat tetrahedron is a semidirect product of the Coxeter group symmetry and the fundamental domain symmetry ( the Goursat tetrahedron in these cases ).
• It can be stated more generally in a Goursat variety ( and consequently it also holds in any Maltsev variety ), from which one recovers a more general version of Zassenhaus'butterfly lemma.
• Coxeter notation supports this symmetry as double-brackets like [ Y [ X ] ] means full Coxeter group symmetry [ X ], with "'Y "'as a symmetry of the Goursat tetrahedron.
• This integral can be split into two smaller integrals by Cauchy-Goursat theorem; that is, we can express the integral around the contour as the sum of the integral around " z " 1 and " z " 2 where the contour is a small circle around each pole.
• In 1919, he was awarded the " Prix FrancS
  ur " for his work on the theory of automorphic functions : the members of the commission who examined his work and nominated him were Camille Jordan, Paul Appell, Marie Georges Humbert, Jacques Hadamard, 蒬ouard Goursat, Joseph Boussinesq, L閛n Lecornu and Emile Picard ( the relator ).
• Suppose that " u " & thinsp; + & thinsp; i " v " } } is a complex-valued function which is Goursat's theorem "'asserts that " f " is analytic in an open complex domain ? if and only if it satisfies the Cauchy Riemann equation in the domain.
• Illustrations were contributed by well-known artists such as Henri de Toulouse-Lautrec, Georges Goursat, Ren?Georges Hermann-Paul, Juan Gris, Lucien Metivet, Georges Meunier, Jean-Louis Forain, Adolphe Willette, Joaqu韓 Xaudar? Leonetto Cappiello, Albert Guillaume, Manuel Luque, Jules Grandjouan, Abel Faivre, and Jules-Alexandre Grun.
• He attended there lectures by Charles Hermite ( 1822-1901 ), Jules Tannery ( 1848-1910 ), Gaston Darboux ( 1842-1917 ), Paul Appell ( 1855-1930 ), 蒻ile Picard ( 1856-1941 ), Edouard Goursat ( 1858-1936 ), and Henri Poincar?( 1854-1912 ) whose lectures were what Cartan thought most highly of.