Sentence examples for by sums of functions from inspiring English sources

In practice, these functions can be approximated by sums of functions that are easy to compute, such as polynomials.

For practical purposes, we approximate η(x i, y i) by sums of two sigmoid functions: where P1 and P2 are large (~ 100) positive parameters.

In this paper, we consider three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions.

Here we will consider the following three types of functions given by sums of finite products of Bernoulli functions and derive their Fourier series expansions.

Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and derive their Fourier series expansions.

Motivated by and generalizing this, we consider three types of functions given by sums of products of higher-order Bernoulli functions and we obtain some new identities arising from Fourier series expansions associated with sums of products of higher-order Bernoulli functions.

One important concept in evolutionary genetics is that the fitness of individuals is not the result of a simple sum of functions harboured by each one of their genes, or loci, but that complex relationships exist between these different loci.

Adds the function to the linear sum of functions.

Removes the function from the linear sum of functions.

Effective doses are computed by summing functions of yearly exposure.

We investigate perturbed second order Euler type half-linear differential equations with periodic coefficients and with the perturbations given by the finite sums of periodic functions which do not need to have any common period.