Sentence examples similar to given functions for from inspiring English sources

here A i ( x ), f 1 ( x ), f 2 ( x ), K 0 ( x, t ) depend on the given function, for the index implied summation from 1 to n. ω 1 ( 0 ) is an unknown constant to be defined.

Pressure errors are prevented by solving an additional transport equation for a given function of the ratio of specific heats.

where is defined as in the beginning of Section 2, is strictly increasing odd function satisfying for, satisfies (4.2). for given functions and   satisfying for, and functions and satisfy that.

where (2.2). holds for all and for given functions.

The neuropsychological approach in patients with brain lesions is of clear value in establishing the necessity of brain areas for given functions.

For those given functions, the problem has a unique solution u_{ex} (x,t,s )=e^{-2t-s}sin x. (18).

m is a given function that accepts several predictions for the same edge and outputs an aggregated prediction.

We focus on only those sequences that perform a given function F. For any given protein structure i (out of N total structures), we denote as f(i) the fraction of sequences among all proteins that perform the function F and fold into structure i.

If available resources compensate or if no disability is measured for a given function, the score for that item is zero and we consider that the needs have been fulfilled.

This suggests a way to understand why evolution converges on only few topologies for a given function and provides FCD designs for synthetic construction and future discovery.

For given function, we set.