Suppose p ( z ) is a holomorphic function, the multiplicity of its zeros is at most d, P ( z ) is a nonconstant polynomial.
As Fox stresses, complex traits, including health, vigor, intelligence and imagination, '…are embedded and developed through robust interplay of heredity and environment and their biological input is a complex function of multiplicity relating genes, which is highly unlikely to be directly manipulable through biotechnology intervention at any point in the near future.
Although the general biochemical scheme/pathway of fungal DHN melanin biosynthesis is well defined based on experimental evidence gleaned from genetic and biochemical studies [ 42], the exact identities, functions and multiplicity of all genes/enzymes involved in melanin biosynthesis, and the possible variation of function among species or strains has yet to be determined.
This pattern of multiple independent LSEs is common among eukaryotic genes with immunity- or defense-related functions: the multiplicity of diverged paralogs provides the means for maximizing the diversity of recognized targets [ 79- 81].
A multiplicity function is a -invariant complex valued function defined on, that is, for all.
In contrast, multiwavelet transforms use r (r ∈ ℤ and r > 1) scale functions (r-multiplicity) for this work, thus reducing the number of constraint conditions and increasing the freedom in design.
The subgroup (Gsubset O(m)) generated by the reflections ({sigma_{alpha}midalphainmathsf{R}}) is called the finite reflection group associated with R. A multiplicity function κ on the root system R is a G-invariant function (kappa: mathsf{R}rightarrowmathbf{C}) i.e. (kappa alpha)=kappa(galpha)) for all (gin G).
Virulence of this organism is a function of a multiplicity of factors working jointly to overwhelm the host defenses.
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].
Abstract: Differential and double-differential cross sections for the production of top quark pairs in proton-proton collisions at 13 TeV are measured as a function of jet multiplicity and of kinematic variables of the top quarks and the top quark-antiquark system.
