Sentence examples for multiplicity function from inspiring English sources

Let be a fixed multiplicity function on.

A multiplicity function is a -invariant complex valued function defined on, that is, for all.

As all transpositions are conjugate in, the vector space of multiplicity function is one dimensional.

The Dunkl operator, associated with the Coxeter group and the multiplicity function, is the first-order differential-difference operator.

Let be the Dunkl operator attached to the Coxeter group and the multiplicity function, defined by (see [16]) (1.6).

The Dunkl operators involve a multiplicity function k as parameter [C.F. Dunkl, Differential-difference operators associated to reflection groups, Trans. Amer. Math. Soc. 311 (1989) 167 183].

We study generalized filters that are associated to multiplicity functions and homomorphisms of the dual of an abelian group.

We discuss how generalized multiresolution analyses (GMRAs), both classical and those defined on abstract Hilbert spaces, can be classified by their multiplicity functions m and matrix-valued filter functions H.

This apparent contradiction among the results points out a multiplicity of function for hPaf1 during the G1/S transition.

The tendency of short protein fragments to align to their structural homologs is a confounding factor in functional annotation due to the multiplicity of functions of homologous protein domains (same domain may perform multiple biochemical functions).

To date, the biological functions of these transcripts in the gonad have not been determined, raising intriguing questions regarding multiplicity of functions for complex transcripts, even in diploid vertebrates such as mammals.