theory of groups उदाहरण वाक्य

उदाहरण वाक्य

1. "' Friederich Ignaz Mautner "'( 1921  2001 ) was an American mathematician, known for his research on the representation theory of groups, functional analysis, and differential geometry.
2. Borel subgroups are one of the two key ingredients in understanding the structure of simple ( more generally, reductive ) algebraic groups, in Jacques Tits'theory of groups with a ( B, N ) pair.
3. Following the book publication she wrote two additional papers, " Outline of the theory of groups " ( 1948 ) and " Matrices and linear dependence " ( 1949 ), which were never published.
4. Summarizing the positions taken, Herbert Gintis noted that Wilson explicitly diverged from the general view that human sociality is accounted for by W . D . Hamilton's inclusive fitness theory, formulating instead a controversial theory of group selection.
5. He is best known for his fundamental contributions to the Novikov conjecture on homotopy invariants of higher signatures, the Baum-Connes conjecture on K-theory of group C *-algebras, and the stable Borel conjecture on rigidity of manifolds.
6. In the 1960s Naimark's interests focused more intensively on the representation theory of groups and algebras in spaces with an indefinite metric, which became the subject of his last ( 1976 ) monograph, " The theory of group representations ".
7. In the 1960s Naimark's interests focused more intensively on the representation theory of groups and algebras in spaces with an indefinite metric, which became the subject of his last ( 1976 ) monograph, " The theory of group representations ".
8. Furthermore, the vector space on which a group ( for example ) is represented can be infinite-dimensional, and by allowing it to be, for instance, a Hilbert space, methods of analysis can be applied to the theory of groups.
9. If " G " is a finite group and " k " a field with characteristic 0, then one shows in the theory of group representations that any subrepresentation of a given one is already a direct summand of the given one.
10. ""'The Selfish Gene " "'is a 1976 book on evolution by Richard Dawkins, in which Dawkins builds upon the principal theory of group, popularising ideas developed during the 1960s by W . D . Hamilton and others.