Procreating tiles of double commutative-step digraphs

Double commutative-step digraph generalizes the double-loop digraph. A double commutative-step digraph can be represented by an L-shaped tile, which periodically tessellates the plane. Given an initial tile L（l, h, x, y）, Aguil5 et al. define a discrete iteration L（p） = L（l ＋ 2p, h ＋ 2p, x ＋ p, y ＋ p）, p = 0, 1, 2,..., over L-shapes （equivalently over double commutative-step digraphs）, and obtain an orbit generated by L（l, h, x,y）, which is said to be a procreating k-tight tile if L（p）（p = 0, 1, 2, ~ ~ ~ ） are all k-tight tiles. They classify the set of L-shaped tiles by its behavior under the above-mentioned discrete dynamics and obtain some procreating tiles of double commutative-step digraphs. In this work, with an approach proposed by Li and Xu et al., we define some new discrete iteration over L-shapes and classify the set of tiles by the procreating condition. We also propose some approaches to find infinite families of realizable k-tight tiles starting from any realizable k-tight L-shaped tile L（l, h, x, y）, 0 ≤ y - x ≤ 2k ＋ 2. As an example, we present an infinite family of 3-tight optimal double-loop networks to illustrate our approaches.     

不同天鹅绒发射性能研究

利用扫描电镜对五种不同结构的天鹅绒进行了观察，用实验方法进研究了各种天鹅绒样品的发射性能，并对它们进行了分析比较。     

A POSTERIORI ERROR ESTIMATES FOR FINITE ELEMENT APPROXIMATIONS OF THE CAHN-HILLIARD EQUATION AND THE HELE-SHAW FLOW

This paper develops a posteriori error estimates of residual type for conforming and mixed finite element approximations of the fourth order Cahn-Hilliard equation ut ＋ △（ε△Au-ε^-1f（u）） = 0. It is shown that the a posteriori error bounds depends on ε^-1 only in some low polynomial order, instead of exponential order. Using these a posteriori error estimates, we construct at2 adaptive algorithm for computing the solution of the Cahn- Hilliard equation and its sharp interface limit, the Hele-Shaw flow. Numerical experiments are presented to show the robustness and effectiveness of the new error estimators and the proposed adaptive algorithm.     

YbxY1-xBa2Cu3O7-y的超导载流特性

本文系统地研究了Yb_xY_1-xBa₂Cu₃O_7-y系统的微结构、超导临界温度以及超导载流特性。发现:随着Yb含量的增大,样品的超导临界温度没有很大变化,但晶粒度逐渐减小,超导临界电流密度系统地下降。作者认为:在这种弱连接颗粒超导体中,细化晶粒无助于提高其临界电流密度。 关键词：     

载流圆环的张力、自感和线电流模型

分析讨论了一些献在计算载流圆环处于自身磁场受的张力和自感系数时使用线电流模型的不当所带来的发散问题。     

图的字典积的非零整数流(英文)

充分利用图的字典积的结构证明了以下结论:如果图G_1的每连通分支都非平凡,图G_2的阶数大于3,那么它们的字典积G_1[G_2]具有非零3-流.     

托卡马克等离子体非平行流马赫探针

在电探针的沿磁场一维流动等离子体鞘理论和现有马赫探针的基础上， 种简化的非平行流马赫探针。     

带阻尼项一维非等熵流方程组初边值问题解的收敛速度

研究了带阻尼项一维非等熵流方程组的初边值问题，利用能量估计的办法证明了整体解的存在性和得到在L2－模及L∞－模意义下解的大时间状态稳定性估计。     

流态混凝土粗集料最佳级配的研究

本文通过D_n—最优三分量二次倒数项混料回归试验设计,综合考察了流态混凝土的工作性、离析行为以及28天强度等特性与粗集料级配之间的关系。建立的数学模型反映了流态混凝土的主要工程性质与粗集料级配之间的内在规律。通过计算机优化求解,找到了相应约束条件下的最佳级配。对丰富流态混凝土理论、试验研究,乃至指导现场工程质量管理与控制十分有益。