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In mathematical analysis, the Schur test, named after German mathematician Issai Schur, is a bound on the ...
The degree d Schur polynomials in n variables are a linear basis for the space of homogeneous degree d symmetric polynomials in n variables. For a partition λ = (λ 1, λ 2, ..., λ n), the Schur polynomial is a sum of monomials,
The Schur complement is named after Issai Schur [1] who used it to prove Schur's lemma, although it had been used previously. [2] Emilie Virginia Haynsworth was the first to call it the Schur complement. [3] The Schur complement is sometimes referred to as the Feshbach map after a physicist Herman Feshbach. [4]
Modulo 2, every integer is a quadratic residue. Modulo an odd prime number p there are (p + 1)/2 residues (including 0) and (p − 1)/2 nonresidues, by Euler's criterion.In this case, it is customary to consider 0 as a special case and work within the multiplicative group of nonzero elements of the field (/).
The Schur multiplier of G is the kernel of any Schur cover and has many interpretations. When the homomorphism is understood, the group D is often called the Schur cover or Darstellungsgruppe. The Schur covers of the symmetric and alternating groups were classified in . The symmetric group of degree n ≥ 4 has Schur covers of order 2⋅n!
At the Dec. 3 inquest at Gloucestershire Coroner’s Court into the circumstances surrounding Thomas' death, Lady Gabriella, 43, emphasized her belief that Thomas' "impulsive action" was likely ...
The quake was so strong part of the terrain around the epicentre slipped as much as 1.6 metres (5 feet 3 inches) over a distance of 80 km (50 miles), according to an analysis by the United States ...
Denise Austin and her daughter and fellow fitness instructor, Katie Austin, share moves to improve back and core strength. “Your spine is your lifeline,” she says. She recommends doing at ...