Sentence examples for a sum of functions from inspiring English sources

This approximate value function is separable, that is, a sum of functions of the individual flows, whereas the exact value function is (in general) not.

In particular, we consider programs where the objective can be expressed as a sum of functions that depend on disjoint sets of variables, which are additionally coupled by the problem constraints (e.g., [3 5]).

The Lagrangian F is assumed to be either convex in both variables or a sum of functions F s,ξ)="a(s g+b(s) with g convex and s↦a(s g(0)+b(s) satisfying a non-oscillatory condition at infinity.

Using labels and fluxes, formulating the same equation results in a sum of functions of the same structure, and the homogeneous separation property vanishes.

The matrix distance can be written for any AIP as a sum of functions of LD coefficients, and more precisely for the IBS hap predictor as a sum of concave polynomials of LD coefficients.

Moreover, by using the possibility to decompose a monogenic functions into a sum of monogenic functions with axial symmetry, we plan to extend this idea to the case of RHBVPs with variable coefficients for monogenic functions.

The proposed model is based on two functions: a steady-state function based on Fourier series and a residual transient function based on a sum of Gaussian functions.

Resolving a periodic function into a sum of trigonometric functions forms a Fourier series, a technique much used in physics and engineering.

The objective function (Equation 6) is a sum of log functions and is, thus, concave with respect to the power sequence.

In fact, one can check by similar arguments as in the proof of Theorem 2 that a sum of periodic functions is exactly the sum of semi-periodic functions which is quasi-periodic.

In order to evaluate the energy function E by FFT, it must be written as a sum of correlation functions.