Sentence examples for by a weight function from inspiring English sources

The proposal is based on a usual multiaxial fatigue criterion weighted by a weight function depending on the stress gradient.

In fact, equation (10) provides us with an effective transform, under which the generalized FBVP can be regarded as a regular FBVP defined in a general time scale (z(t)) and weighted by a weight function (w(t)).

Multiplying (3.16) by a weight function χ ( t ), we get (3.20).

Moreover, by a weight function we mean a non-negative measurable function on the actual interval or more general set.

More precisely, we denoted by a weight function belonging to a suitable class and such that (1.3).

on, and by a weight function (shortly: a weight), we mean a nonnegative measurable function on the actual set.

An FPC curve ξ κ (t) and its corresponding FPC scores z κi, κ = 1, …, , for individuals i = 1, …,  n, are estimated simultaneously by finding a weight function ξ(t) defined over the same range of t as the functional data x i (t), maximising the variance of the corresponding individual FPC scores z i, given by z i  = ∫  ξ(t) x i (t) dt, subject to constraints.

Denote by ρ a weight function on E (i.e., ρ is an almost everywhere positive measurable function).

Hence in 2012, a new class of generalized fractional integrals and derivatives defined by using a weight function and a scale function was introduced in [17].

As in [20], we present a variant of this RANSAC-based algorithm, which improves the random selection step by employing a weight function approximating the probability of each pair of features in P to be matched with one in Q.

The restriction γ ∈ Γ ( H m ′ ) ⊂ Γ ( H m ) can be modeled by introducing a weight function α m in H m, such that α m = 1 on H m ′, and α m = 0 otherwise.