Sentence examples for given function can be from inspiring English sources

Fourier transform is essentially a process, whereby a given function can be expressed in terms of a trigonometric series.

Precisely because there are various physical systems in which a given function can be performed, mental properties and activities cannot be uniquely reduced to physical properties and processes.

A scalar function whose singular points are all non-degenerate is called a Morse function, and it is known that the space of Morse functions is dense in the space of all functions: any given function can be approximated arbitrarily well by a Morse function (for example, see [8]).

For example, the principal eigenvalue of the simple boundary value problem -u"=lambdarho(x u,quad xin[-pi,pi], qquad u(- pi =u(pi =0, where (rho(x)>0) is the given function, can be interpreted as the square of the lowest frequency of vibration of a rod of nonuniform cross section given by (rho(x)).

These observations suggest that the duplicability of the proteins having a given function can be different and determined by each organism's living environment.

The method counts up the times of a function occurring in the protein's neighborhood to estimate the possibility that a given function can be assigned to an un-annotated protein.

Whether a protein with a given function can evolve specific new functions is thus determined by the protein's location in sequence space.

You can show that any given parametric, any given parametric function, can be mapped onto this kernel formulation.

In this section, we will study the so-called jump (or decomposition) problem for left -monogenic functions, that is, we will investigate under which conditions a given matrix function can be decomposed as (5.1).

We are now in the possibility to treat the H-monogenic decomposition problem; it means to study under which conditions a given matrix function can be decomposed as (5.1).

By comparison of the critical crack length acritical, the uncertainty properties of the time-varying limit-state function can be given as well.