关于三分Cantor集的构造的一个基本性质及其应用

本文提出了三分 Cantor集的构造的一个基本性质 .作为应用 ,给出了计算三分 Cantor集的简明的初等的计算方法 ,另外还得到了一列有趣的对数不等式     

数学中实无穷与潜无穷的几个问题

传统无穷理论体系分化成数学、哲学中的潜无穷与实无穷两种学说，它们共存、却又争论不休；既不相容又无法否定对方．本文讨论这两种学说中的几个问题．     

联系数中差异度系数i的专家估测法及应用

在联系数中差异度系数i已有取值方法的基础上,给出了差异度系数i的专家估测取值方法、加权统计取值方法和频数统计取值方法以及它们在实际中的应用.     

多齿映射和多角映射的子移位

考虑多齿映射Ｓｒ（ ｘ） 和多角映射Ｔｒ（ｘ） 在单位区间的某些子集上的子移位．特别，ｒ 可以推广到有理数ｑｐ 的情形，对映射Ｓｑ／ ｐ（ｘ） 和Ｔｑ／ ｐ（ｘ） 也得到某些结果．     

氮化对单体液压支柱焊缝组织和性能的影响

对单体液压支柱氮化焊接工艺与规程进行了系统的分析和研究，优化了产品生产工艺，取得了较好效果。     

一个引致离散分布的特征及性质研究:基于对偏好序列的基矢分类方法的应用

基于基矢分类的方法,对投票悖论问题中的偏好序列向量进行递归关系规律的分析和模拟研究,发现了一种奇异的分布.     

Tuning the frontier molecular orbital energy levels of n‐type conjugated copolymers by using angular‐shaped naphthalene tetracarboxylic diimides,and their use in all‐polymer solar cells with high open‐circuit voltages

An angular‐shaped naphthalene tetracarboxylic diimide (NDI) was designed and synthesized as a new building block for n‐type conjugated polymers to tune their energy levels. Three n‐type copolymers incorporating this angular‐shaped NDI as the acceptor moiety were obtained by Stille coupling reactions and had number average molecular weights of 18.7–73.0 kDa. All‐polymer bulk‐heterojunction solar cells made from blends of these polymers with poly(3‐hexylthiophene) gave a power conversion efficiency up to 0.32% and exhibited an open‐circuit voltage (V_oc) up to 0.94 V due to their relative high‐lying lowest unoccupied molecular orbital energy levels. The high V_oc of 0.94 V is higher than that of solar cells based on linear‐shaped NDI‐containing polymers (<0.6 V). The results indicate that the angular‐shaped NDI is a promising building block for constructing nonfullerene polymer acceptors for solar cells with high open‐circuit voltages. © 2013 Wiley Periodicals, Inc. J Polym Sci Part A: Polym Chem, 2013     

基于Howell designs的完备秘密共享方案

在完备秘密共享方案中,非授权集得不到有关秘密的任何信息.1998年,Chaudhry等提出了一种由Room方的临界集产生的完备秘密共享方案.基于此,提出一种从Howell designs的临界集得到的完备秘密共享方案.将一个Howell design的一个临界集作为秘密,秘密分发者按照Karnin-Greene-Hellman算法计算出伪部分依次发给每个参与者.授权集中每个参与者得到的伪部分合在一起,就能重构此Howell design的临界集即秘密.     

Coupled fluid–solid interaction under shock wave loading

This paper considers the treatment of fluid–solid interaction problems under shock wave loading, where the solid experiences large bulk Lagrangian displacements. This work addresses the issues associated with using a level set as a generalized interface for fluid–solid coupling where the fluid–solid interface is embedded in an unstructured fluid grid. We outline the formulation used for the edge‐based unstructured‐grid Euler solver. The identification of the fluid–solid interface on the unstructured fluid mesh uses a super‐sampled ??² projection technique, which in conjunction with a Lagrangian interface position, permits fast identification of the interface and the concomitant imposition of boundary conditions. The use of a narrow‐band approach for the identification of the wetted interface is presented with the details of the construction of interface conditions. A series of two and three‐dimensional shock‐body computations are presented to demonstrate the validity of the current approach on problems with static and dynamic interfaces, including projectile/shock interaction simulations. Copyright © 2010 John Wiley & Sons, Ltd.     

Explicit characteristic‐based finite volume element method for level set equation

Accurate modeling of interfacial flows requires a realistic representation of interface topology. To reduce the computational effort from the complexity of the interface topological changes, the level set method is widely used for solving two‐phase flow problems. This paper presents an explicit characteristic‐based finite volume element method for solving the two‐dimensional level set equation. The method is applicable for the case of non‐divergence‐free velocity field. Accuracy and performance of the proposed method are evaluated via test cases with prescribed velocity fields on structured grids. By given a velocity field, the motion of interface in the normal direction and the mean curvature, examples are presented to demonstrate the performance of the proposed method for calculating interface evolutions in time. Copyright © 2010 John Wiley & Sons, Ltd.