Sentence examples for 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.
We convert Equation (7) to Equation (8), which takes the function Q as the sum of functions f of all nodes.
The expression in (2) indicates that the Green's function for annulus in a general setup must look like an infinite convergent sum of functions harmonic in annulus and having poles at carefully chosen points outside the annulus.
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.
The estimators derived below and later in "Ratio with tours estimator (RT-estimator)" section exploit the independence of the tours and the result that expected sum of functions of nodes visited in a tour is proportional to (sum _{u in V} g u)) [4, Lemma 3].
For example, the PDS sum score, referring to the total number of PTSD symptoms, correlates significantly with the sum of arousal symptoms (0.912); the sum of avoidance symptoms (0.933); the sum of intrusion symptoms (0.922) as well as with the sum of functioning deficits (0.657).
In practice, these functions can be approximated by sums of functions that are easy to compute, such as polynomials.
The convolution theorem will be valid for functions (F_{1}) representing linear sums of functions of the form (t^{mu }).
Moreover, Darus and Ibrahim [3] determined the conditions under which the partial sums of functions of bounded turning are also of bounded turning.
In this section, we consider partial sums of functions in the class TW η and obtain sharp lower bounds for the ratios of real part of f to f m and f ′ to f m ′.
