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Architecturally well-defined polymeric materials with precisely controlled chain length, sequence, stereochemistry and interchain interactions can be produced using the fidelity of biological protein ...
二十多年前,W. Thurston(菲尔兹奖得主),D. Sullivan(Wolf奖得主)等著名数学家引进了Circle Packing理论,它是复分析中复解析函数的一种离散表示,从而可以由计算机具体实现一个具体的解析函数,现在Circle Packing理论是复分析研究中一种非常重要的工具,在复解析动力系统、Kleinian群、双曲几何、计算机图形学等数学分支的研究中扮演着十分重要的角色。这些...
The problem of packing ellipsoids of different sizes and shapes into an ellipsoidal container so as to minimize a measure of overlap between ellipsoids is considered. A bilevel optimization formulatio...
Abstract: Let $S$ be a set of $n$ points in the unit square $[0,1]^2$, one of which is the origin. We construct $n$ pairwise interior-disjoint axis-aligned empty rectangles such that the lower left co...
Abstract: Generalized $t$-designs, which form a common generalization of objects such as $t$-designs, resolvable designs and orthogonal arrays, were defined by Cameron [P.J. Cameron, A generalisation ...
Given a symplectic manifold (M; !) and a Lagrangian submanifold L, we construct versions of the symplectic blow-up and blow-down which are defined relative to L.
Tuza conjectured that for every graph G, the maximum size  of a set of edge-disjoint triangles and minimum size  of a set of edges meeting all triangles, satisfy   2.
The consolidation of colloidal particles in drying colloidal dispersions is in-uenced by various factors such as particle size and shape, and inter-particle potential. The capillary pressure induced b...
Let $X=\{X(t),t\in\mathbb{R}^N\}$ be a random field with values in $\mathbb{R}^d$. For any finite Borel measure $\mu$ and analytic set $E\subset\mathbb{R}^N$, the Hausdorff and packing dimensions of t...
We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry re...
Let the chromatic index of a hypergraph be the smallest number of colours needed to colour the edges such that similarly-coloured edges are disjoint. Likewise, let the cover index be the maximum numb...
Let G be a plane graph and T an even subset of its vertices. It has been conjectured that if all T-cuts of G have the same parity and the size of every T-cut is at least k, then G contains k edge-disj...
The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1...
It is well known that a graph with m edges can be made triangle-free by removing (slightly less than) m/2 edges. On the other hand, there are many classes of graphs which are hard to make triangle-f...
Thue's theorem states that the regular hexagonal packing is the densest circle packing in the plane. The density of this circle con guration is  p12  0:906 90:

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