榫卯连接的古木结构动力分析

以宁波保国寺大殿为例，应用有限元理论对榫卯结构和大殿整体进行分析，得到典型榫卯连接刚度以及大殿的固有频率、振型以及Elcentro地震波作用下的位移响应曲线．文中提供的方法和结论，可供古建筑保护工作者在进行类似结构分析中借鉴．     

Integral formulas for differential forms of type (p,q) on complex Finsler manifolds

Using the invariant integral kernel introduced by Demailly and Laurent-Thiebaut, complex Finsler metric and nonlinear connection associating with Chern-Finsler connection, we research the integral representation theory on complex Finsler manifolds. The Koppelman and Koppelman-Leray formulas are obtained, and the -equations are solved.     

(-*)b-方程的Cs+ap,q-形式解及其Lsp,q估计

In this paper, by using holomorphic support function of strictly pseudoconvex domain on Stein manifolds and the kernel defined by DEMAILY J P and Laurent Thiebaut, we construct two integral operators Tq and Sq which are both belong to Cs+αp,q-1((**)D) and obtain integral representation of the solution of (p,q)-form (**)b-equation on the boundary of pseudoconvex domain in Stein manifolds and the Lsp,q extimates for the solution.     

强耦合杨-米尔斯理论中的对偶超导真空

基于联络分解变量的紫外/红外分离, 提出杨-米尔斯理论真空的强耦合极限表现为一个经典场论意义下色空间的黑洞. 基于此想法, 证明在强耦合杨-米尔斯理论中存在对偶超导体解. 在量子水平下, 强耦合理论的非微扰真空可由磁荷的多粒子体系构成, 而理论的经典平均给出对偶阿贝尔-黑格斯模型. 该模型预言了与最近的格点模拟相一致的结果: 理论真空位于第一类与第二类超导体边界. 进一步通过求解对偶阿贝尔-黑格斯模型讨论了色电场的对偶迈斯纳效应.     

On the Structure and Symmetry Properties of Almost $$\cal{S}$$-manifolds

We prove that any simply connected -manifold of CR-codimension s 2 is noncompact by showing that the complete, simply connected -manifolds are all the CR products N × ^{s-1} with N Sasakian, endowed with a suitable product metric. N is a Sasakian -symmetric space if and only if M is CR-symmetric. The locally CR-symmetric -manifolds are characterized by

Towards a Coherent Theory of Physics and Mathematics: The Theory–Experiment Connection

The problem of how mathematics and physics are related at a foundational level is of interest. The approach taken here is to work towards a coherent theory of physics and mathematics together by examining the theory experiment connection. The role of an implied theory hierarchy and use of computers in comparing theory and experiment is described. The main idea of the paper is to tighten the theory experiment connection by bringing physical theories, as mathematical structures over C, the complex numbers, closer to what is actually done in experimental measurements and computations. The method replaces C by C_n which is the set of pairs, R_n,I_n, of n figure rational numbers in some basis. The properties of these numbers are based on those of numerical measurement outcomes for continuous variables. A model of space and time based on R_n is discussed. The model is scale invariant with regions of constant step size interrupted by exponential jumps. A method of taking the limit n→∞ to obtain locally flat continuum-based space and time is outlined. Also R_n based space is invariant under scale transformations. These correspond to expansion and contraction of space relative to a flat background. The location of the origin, which is a space and time singularity, does not change under these transformations. Some properties of quantum mechanics, based on C_n and on R_n space are briefly investigated.     

Topological horseshoes

When does a continuous map have chaotic dynamics in a set ? More specifically, when does it factor over a shift on symbols? This paper is an attempt to clarify some of the issues when there is no hyperbolicity assumed. We find that the key is to define a ``crossing number' for that set . If that number is and 1$">, then contains a compact invariant set which factors over a shift on symbols.

     

Chebyshev splines beyond total positivity

For polynomial splines as well as for Chebyshev splines, it is known that total positivity of the connection matrices is sufficient to obtain B-spline bases. In this paper we give a necessary and sufficient condition for the existence of B-bases (or, equivalently, of blossoms) for splines with connection matrices and with sections in different four-dimensional extended Chebyshev spaces.     

Contact of rough surfaces: A simple model for elasticity, conductivity and cross-property connections

Two rough plates with multiple contacts of diverse microgeometries are pressed against one another. Two types of contacts can be distinguished: Hertzian ones and “welded” areas. We find that for circular contacts (1) the two types produce the same effect on the incremental stiffness of the interface and on the effective conductivity across it if their contact areas are the same; (2) for both contact types, the compliance and the conductivity are controlled by the same microstructural parameter, where S_k is the kth contact area; (3) the explicit cross-property connection is established that gives the (incremental) stiffness in terms of the conductivity; it holds for an arbitrary mixture of Hertzian and welded contacts and does not require any knowledge of their microgeometries. Whereas the two types of contacts produce the same effect on the incremental stiffness, the Hertzian contacts cause non-linearities (the incremental stiffness increases with loading). The non-linearity is controlled by the microstructural parameter that is sensitive to contrasts of curvatures of the contacting parts. Model predictions are generally in good agreement with experimental data on conductivities of rough metal surfaces and stiffnesses of rough rock surfaces.