Foam behaves as a yield-stress fluid it flows in porous medium. Quasi-static analysis suggests that the yield stress arises from non-smooth motion of foam films, denoted lamellae, pores. In order to study effect trapped lamellae on moving lamella and consequently foam, we conduct numerical simulations quasi-static limit. We propose new method utilizing surface energy minimization algorithm, whi...

The inability to answer proximity queries efficiently for spaces of dimension d > 2 has led to the study of approximation to proximity problems. Several techniques have been proposed to address different approximate proximity problems. In this paper, we present a new and unified approach to proximity searching, which provides efficient solutions for several problems: spherical range queries, id...

We introduce the concept of quasi-semi-Weyl structure, we provide a couple ways for constructing quasi-statistical and structures by means pseudo-Riemannian metric, an affine connection tensor field on smooth manifold, place these in relation with one another.

Lemma 2.2. It suffices to find disjoint L,R ∈ V such that they are (1) Large in Ω(n), or more formally stated, |L||R| ≥ α(n). (2) ∆-separated for ∆ = Ω( 1 logn) Let us define what ∆-separated means so that we can formalize this notion of “farness”. Recall that a distance from a vertex i to a set S is defined as d(i, S) = minj∈S d(i, j) (distance to the closest point in the set) and a distance f...

Finding the closest or farthest line segment (line) from a point are fundamental proximity problems. Given a set S of n points in the plane and another point q, we present optimal O(n logn) time, O(n) space algorithms for finding the closest and farthest line segments (lines) from q among those spanned by the points in S. We further show how to apply our techniques to find the minimum (maximum)...

This part contains new pointwise error estimates for the finite element method for second order elliptic boundary value problems on smooth bounded domains in RN . In a sense to be discussed below these sharpen known quasi–optimal L∞ and W 1 ∞ estimates for the error on irregular quasi–uniform meshes in that they indicate a more local dependence of the error at a point on the derivatives of the ...

We consider perturbations of the complex quadratic map $ z \to z^2 +c$ and corresponding changes in their quasi-Mandelbrot sets. Depending on particular perturbation, visual forms of quasi-Mandelbrot set changes either sharply (when the perturbation reaches some critical value) or continuously. In the latter case we have a smooth transition from the classical form of the set to some forms, cons...

Assume j = ∅. It is well known that M ≤ {∫∫∫ z ( i0, . . . ,∞ ) dQ̂, Φ ≥ −∞ ⋂ G∈T exp −1 (e−6) , a > MΓ,Ξ . We show that there exists a finitely unique almost ultra-intrinsic, continuously real, quasi-completely parabolic set. The work in [29, 29, 31] did not consider the pseudo-smooth case. In [18], the main result was the derivation of co-regular, Gaussian, quasi-arithmetic numbers.

Presenting a few dots moving coherently on a screen can yield to the perception of human motion. This perception is based on a specific network that is segregated from the traditional motion perception network and that includes the superior temporal sulcus (STS). In this study, we investigate whether this biological motion perception network could influence the smooth pursuit response evoked by...