Sentence examples for expression of functions from inspiring English sources

The algebraic expression of functions of the most common reaction mechanisms operating in solid-state reactions are presented in some papers [23 25, 27, 29].

From the explicit expression of functions (f_{i} x,lambda)) and (varphi_{i} x,lambda)) it follows that for (foralllambdainmathbb{C}backslashsigma_{p}(L_{lambda})), (operatorname{Im}lambdaneq0) biglvert G x,t,lambda bigrvert leq C lambda)e^{-tau vert x-tvert }, (15) where (C lambda)>0), (tau=vert operatorname{Im}lambda vert ), (forall x,tin 0,+infty)).

Euler is well known in analysis for his frequent use and development of power series, the expression of functions as sums of infinitely many terms, such as :e^x = \sum_{n=0}^\infty {x^n \over n!} = \lim_{n \to \infty}\left(\frac{1}{0!} + \frac{x}{1!} + \frac{x^2}{2!} + \cdots + \frac{x^n}{n!}\right).

Together, these gene clusters allow SigB to coordinate the expression of functions devoted to cell wall and spore structure and biosynthesis.

By adjusting the diameter of the nanodots, we could modulate the growth and expression of function-related genes and proteins of H9c2 cardiomyoblasts.

where is the unknown variable and the expression of function is unknown.

When the running time of computing of an algorithm has to be determined, the engineers do not provide the exact expression of function that represents such a time.

By adjusting the nanodot diameter, we could modulate the growth and expression of function-related genes in the macrophages and foam cell system.

These findings demonstrate that T cell expression of functioning PPR is specifically blocked in PPR T cells −/− mice as a result of efficient Cre-mediated exon E1 ablation.

Conversely, inhibiting PLN expression of function has the reverse effect and is therapeutically beneficial.

Expression of function-blocking Notch ligands abrogated HMEC transformation by Wnt1, demonstrating that there is a need for Notch signalling.