Anagram & Information om | Engelska ordet SCHUR

Exempel på hur man kan använda SCHUR i en mening

• Following Schur, it was noted in print by Campbell (1897); elaborated by Henri Poincaré (1899) and Baker (1902); and systematized geometrically, and linked to the Jacobi identity by Hausdorff (1906).
• The theorem is a collection of results generalizing the significant facts about the decomposition of the regular representation of any finite group, as discovered by Ferdinand Georg Frobenius and Issai Schur.
• Various constructions for these groups were first compiled in , including character tables, individual conjugacy classes and lists of maximal subgroup, as well as Schur multipliers and orders of their outer automorphisms.
• For example, in the case of the symmetric group and alternating group, Schur established that there is exactly one non-trivial class of Schur multiplier, and completely determined all the corresponding irreducible representations.
• Similarly, the QR algorithm is used to compute the eigenvalues of any given matrix, which are the diagonal entries of the upper triangular matrix of the Schur decomposition.
• In the case that A or D is singular, substituting a generalized inverse for the inverses on M/A and M/D yields the generalized Schur complement.
• The lemma is named after Issai Schur who used it to prove the Schur orthogonality relations and develop the basics of the representation theory of finite groups.
• In 1888, at the age of 13, Schur went to Liepāja (Courland, now in Latvia), where his married sister and his brother lived, 640 km north-west of Mogilev.
• If the ring is the quaternions, then choosing a subring of the quaternions isomorphic to the complex numbers makes V into an irreducible complex representation of G with Schur indicator −1, called a quaternionic representation.
• It also includes routines to implement the associated matrix factorizations such as LU, QR, Cholesky and Schur decomposition.
• He was joined by former peace riders including Gustav-Adolf Schur, Geoff Wiles, John Woodburn, Alan Jacob, and Axel Peschel.
• The Schur multiplier of the quaternion group is trivial, but the Schur multiplier of dihedral 2-groups has order 2.
• In 2016, Jones co-wrote the teleplay of "Nosedive", an episode of the television anthology series Black Mirror with Michael Schur from a story by Charlie Brooker.
• At the University of Berlin, he studied mathematics under Issai Schur, Edmund Landau, Ferdinand Georg Frobenius, and Friedrich Schottky; philosophy under Alois Riehl, Carl Stumpf and Ernst Cassirer; and physics under Max Planck.
• Schur and used the reciprocity law to translate the principalization problem for ideal classes of algebraic number fields into the group theoretic task of determining the kernels of transfers of finite non-abelian groups.
• In 2016, Schur and Rashida Jones co-wrote the teleplay of "Nosedive", an episode of the television anthology series Black Mirror, from a story by Charlie Brooker.
• Schur believed that Freud's dream represented an attempt to shift the blame for this situation onto Eckstein, and thus absolve both Fliess and himself from responsibility.
• Littlewood and Richardson studied the relation of the immanant to Schur functions in the representation theory of the symmetric group.
• In more classical terms, a superperfect group is one whose abelianization and Schur multiplier both vanish; abelianization equals the first homology, while the Schur multiplier equals the second homology.
• There he won the gold medal in the men's team time trial, alongside Uwe Ampler, Jan Schur and Maik Landsmann.

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