Sentence examples for modulus and beta from inspiring English sources

Let f be a modulus and (beta geqalpha>0).

If the condition (12) holds with any function ω̃ of the modulus of continuity type and (beta geq0), then biggl{ int _{frac{2mpi}{r}}^{frac{2mpi}{r}+frac{pi}{r ( n+1 ) }} biggl( frac{ vert psi_{x} ( t ) vert }{widetilde{omega} ( t-frac{2mpi}{r} ) } biggr) ^{p} bigglvert sinfrac{rt}{2} biggrvert ^{beta p},dt biggr} ^{frac{1}{p}}=O_{x} ( 1 ), where (min { 0,ldots [ frac{r}{2} ] } ).

The prototypes, field testing and beta testing?

and Beta is the beta function [21].

We use the word alpha and beta.

We measured both alpha and beta diversity.

and beta mercaptoethanol (50 µM; Sigma).

Do not blackmail your alpha and beta!

Use alpha and beta hydroxy acid gel.

The effect of molecular weight was studied in 2% wt/v autoclaved (high beta-sheet content) scaffolds and revealed a power relationship between degumming time and the Young's modulus and UTS.

In oxide glasses, both Young's modulus and shear modulus do not strongly depend upon the chemical composition.