The non-smooth dynamics is investigated for an elastic planar metainterface composed by two layers of buckling elements, each one allowing motion on side only. Through the analogy between and unilateral contact assuming no-bouncing at impact, relevant degrees freedom system reduced to that a single degree governed piecewise-smooth differential equation. has strong similarities with rocking rigi...

in this paper we introduce the notions of uniformly quasi-primary ideals and uniformly classical quasi-primary submodules that generalize the concepts of uniformly primary ideals and uniformly classical primary submodules; respectively. several characterizations of classical quasi-primary and uniformly classical quasi-primary submodules are given. then we investigate for a ring $r$, when any fi...

Setting of this paper is Bishop's constructive mathematics. For a relation σ on a set with apartness is called quasi-antiorder if it is consistent and cotransitive. The quasi-antiorder σ is complete if holds . 0 1 / = σ σ − ∩ In this paper the following assertion ‘A quasi-antiorder is the intersection of a collection of quasi-antiorders.’ is given.

When acquiring the surface data of the sample part, it is not easy to get the full data on one scan due to the configuration or topology of the part. In addition, some special parts have special assembly request, for example the joint surface smooth and the boundary share. The process usually requires multiple scans for an assembly model. Some identical points have different coordinate data bec...

In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n logn) algorithm for the following proximity problem: Given a set P of n (>2) points in the plane, we have O(n2) implicitly defined segments on pairs of points. For each point p ∈ P , find a segment from this set of implicitly defined segment...

In most developing countries children provide some form of insurance against risks when parents are old, which, in turn, justifies parental preference to have more children. In this paper, we examine the causal effect of number of children on several measures of health status of elderly parents using newly available China Health and Retirement Survey data. Because number of children in a family...

In investigating homotopy equivalences of smooth G-manifolds where G is a compact Lie group, Pétrie [3], [4], [5] makes use of proper G-maps of degree 1 from one G-module to another of the same complex dimension. The first nontrivial example of such a map, called a quasi-equivalence, was given by Pétrie [6] for two-dimensional S -modules. Necessary and sufficient conditions for the existence of...

In this paper, we describe the global structure of webs in codimension one, and study in particular their singularities (the caustic). We define and study different concepts which have no interest locally near regular points, such as the type, the reducibility, the quasi-smoothness, the CIproperty (complete intersection), the dicriticity.... As an example of application, we explain how the alge...

We recall that according to [3], a function φ : X → [−∞,∞) is called quasiplurisubharmonic (quasi-psh for short) if it is locally equal to the sum of a smooth function and a plurisubharmonic (psh) function. Then there exist a constant C ∈ R such that √ −1∂∂φ ≥ −Cω in the sense of currents on X . We say that a function ψ has logarithmic poles if for each open set U ⊂ X there exist a family of ho...

In this paper we construct the Poincare line bundle for stack of Higgs bundles on smooth projective curves and show that it induces a fully-faithful Fourier-Mukai transform category quasi-coherent sheaves.