Sentence examples for extend this function from inspiring English sources

Thus we can extend this function in the first instance by begin{aligned} Phi (lambda,a) = left{ begin{array}{ll} psi (psi ^{-1}(a)+lambda ) &quad ain gamma a &quad ain partial Omega end{array} right.

These results not only confirm that FIL functions as an activator in plants, but extend this function to the closely related YAB3 protein.

We aim to extend this function to an R package that will be available from the standard CRAN repository for the R environment.

The assessment in combination with general lessons learned from the different case studies will make it possible to determine whether CSCs are able to fulfill the policy aspiration and whether it would be beneficial to extend this function.

The assessment, in combination with general lessons learned from the different case studies, will make it possible to determine whether CSCs are able to fulfill the policy aspiration and whether it would be beneficial to extend this function over more municipalities.

For a single Hill exponent n we write n = m-2, m ≠ 0, fix some 0 < k < 1 and consider the Hill function We extend this function at m = 0 by setting Then there are open neighborhoods U1, U2 of 0 and 1, respectively, such that f(, m) is continuous on U1/2 × ℝ and it can be easily shown that f is even continuously differentiable on U1/2 × ℝ.

We have now extended this function to neurons, where activation of mGlu3 receptors stimulated GDNF production.

We have now extended this function of Arg-II to the obesity-associated type-II diabetes model.

These results are in line with previous findings regarding the crucial role of p55 TNFR in the control of adhesion molecules expression by endothelial cells at inflammatory sites [11], [18], [19], and extend this pivotal function also to sites of developing atherosclerotic lesions in a physiological hyperlipidemia induced model of the disease.

To extend this to arbitrary functions (fin mathcal S), one decomposes (f) in the form (f(t)=frac{1}{2}[f(t)+f -t)]+f -tc{1}{2}[f(t)-f(-t)]), i. e., in an even and an odd part.

Recent studies have extended this canonical function of the cohesin complex toward a role in gene regulatory circuits.