Sentence examples for by the distance function from inspiring English sources
In the sequel, we denote by the distance function from point to set.
The topology of a qM-space (( X,mathtt{d} ) ) is completely determined by the distance function between two points.
The only variable in this formulation is the normal distance to the interface, which can be substituted by the distance function solved by the level set method.
Recently, Bednarczuk and Zagrodny [6] introduced an Ekeland-type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance function, and they proved EVP for vector-valued mappings by combining topological and set-theoretic methods.
Genetic distances were generated using pairwise population F values between haplotypes of mitochondrial cytochrome b gene sequences by the distance function in GenAlex.
In this paper, we generalize the operator in [4, 5] and consider its spectral properties by generalizing the distance function (rho(t)) to the function (omega^{2} ( t )).
Can we determine a Riemannian metric of a compact Riemannian manifold with boundary by measuring the distance function between boundary points?
As spectral information up to 10000 Hz is available, an improved overall classification on the same database is obtained by applying the distance function to nine frequency ranges and combining the achieved distance-values in fuzzy rules.
In this subsection we focus on the problem of classifying unseen points, i.e., points that in our experiments we assume not present in the datasets associated to certain individuals, by using the distance function described in the methodology section.
By using the distance function, tool path optimizations for semi-finish and finish millings are formulated as two constrained optimization problems in a unified framework, and a sequential approximation algorithm along with a hierarchical algorithmic structure is developed for the optimization.
Define the distance function by d ( p, q ) : = inf γ ∫ 0 1 F ( γ, γ ˙ ( t ) ) d t, where the infimum is taken over all differentiable curves γ : [ 0, 1 ] → M with γ ( 0 ) = p and γ ( 1 ) = q.
