It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides, for the first time, theoretical evidence supporting this for a large class of objects, namely for polyhedra or, ...
摘要: Upper bound of the best constant of the Trudinger-Moser inequality and its application to the Gagliardo-Nirenberg inequality (Variational Problems and Related Topics) Kozono Hideo , Sato Tokushi , Wadade Hidemitsu RIMS Kokyuroku 1405, 66-72, 2004-11...
astainless steel railings 不锈钢的栏杆 [translate] a网线接口 Mesh wire connection [translate] abound” on u; a definite upper bound is within 10% or 20% of the esti-mate. This means that although we cannot derive precise estimates [translate] ...
In 2021, Diao verified that the upper bound of transversal number for any connected 3-uniform hypergraph H is at most 2m+13, that is, τ(H)⩽2m+13, where m is the size of H. Moreover, they gave the necessary and sufficient conditions to reach the upper bound, namely τ(H)=2m+...
This paper investigates the ultimate bearing capacity factor (Nγ) and failure mechanisms of multiple rough strip footings with equally clear spacing (S) placed on pure sand using the upper-bound finite-element method with rigid translatory moving elements (UBFEM-RTME). Parametric analysis is perf...
The area of interstices at the boundary of these domains iscalculated with greater precision than by other authors, so the obtainedupper bounds are sharper than those known before. Because the functionint(x) appears in the relationships, the upperbounds are not monotonous functions of the circle...
An attempt is made to modify the plasticity theory for compressible materials and then to derive the upper bound theorem or the second extremum principle which incorporate normal velocity discontinuity; this discontinuity is considered to be a measure of fracture. The theorem is applied to predict th...
1. Proof of the upper bound We will assume that our point set is in general position, i.e., that no three of its points are collinear. There is no loss of generality because if A is not in general position and we perturb it to a point set A′ in general position without making ...
The definition of an α-structure looks quite technical at first sight. So let us motivate the idea behind it. Suppose OMaker's strategy is to build a long path first. (This indeed is the strategy for OMaker in the so far best-known lower-bound proof in [6].) Let P=(e1,…,ek) ...
In this article, adaptive modulation is applied in conjunction with a decision feedback equalizer (DFE) in order to mitigate the effects of the slowly varying wideband multipath Rayleigh fading channel. The upper-bound mean BER and bits per symbol (BPS) performance of this scheme is determined ...