查询词典 calculus of finite differences

Let D be a bounded domain with C(1) boundary in Cn . The authors use the locally finite open coverring of the countable strictly pseudoconvex to define a new partitions of unity of σpoint finite local holomorphic , constructed a generalized Cauchy integral formula with discrete local holomorphic kernel on the bounded domain D and applied it to solving the 52equation.

设D 是Cn 空间中具有C(1)边界5D 的有界域，本文利用D 上一个局部有限的可数强拟凸开复盖，定义了D上一个新的局部全纯的σ点有限的单位分解，建立了D上一个更一般的具有离散局部全纯核的Cauchy积分公式并获得D 上52 方程的具有离散核的解的积分表示。

According to the principle of quantum mechanics, exploringly presented the possible mechanism of large-scale expansion at forepart of earth, quanta earth tectonic dynamic mechanism formed from super solid state of centrosphere material, presented the integral tectonic criterion in the process of evolution of earth system considering potential of quanta, potential energy of gravitation and heat energy as a result of special state of matter of centrosphere.③Established the evolutional model of finite nonlinear expansion to of integral tectonic dynamic of earth expansion., presumed and gived the skeleton model of original forepart earth before expanding. Applying the universal large scale finite element software, for the first time considered heat power and self gravitation in the same model of tectonic dynamic model simultaneously.

较系统地讨论了地球膨胀整体构造动力的若干基本理论问题：①分析汇总了地球演化产生、积累和以各种形式损耗的总能量，根据考虑引力势能与热能的维里定理，对现时地球整体动力状态进行判断；②根据量子力学原理，探索性地提出地球大规模膨胀的可能机制——地核物质超固态形成量子简併压强产生的动力——地球量子动力，给出了考虑地核特殊物态的量子势能、引力势能和热能的地球系统演化过程中的整体动力状态判据；③建立了地球膨胀整体构造动力的非线性有限膨胀演化模型，推测给出膨胀前早期地球的轮廓性模型。

In the study of representations of finite group, lots of evidence suggested that there is a great relationship between the structure of conjugacy classes and the character degrees of finite group.

在群表示论的研究中，大量事实说明群的共轭类结构与群的特征标数量性质间存在着密切的关系。

The system consists of four parts such as Data Management of Product Model,Finite Element Analysis, Optimal Design and Graphics Drawing; and its main work is searching for an optimal scheme of chief axis with Sequential Quadratic Programming Method by finite element static and dynamic characteristical analysis of the axis and saving the results of design as documents or outputing them.

系统出产品模型数据管理、有限元分析、优化设计和图形绘制四部分组成。通过对车床主轴二维垂直剖面力学模型的有限元静、动态特性分析，采用序列二次规划的优化设计方法寻求主轴设计的优化方案，并将优化设计结果形成文档或输出。提出产品设计模型的概念，通过它可自动生成有限元分析模型、优化设计模型和图形模型三个子模型，将有限元分析、优化设计、图形绘制三部分结合在一起。

The some basic methods in composite mechanics are introduced,and relative formulations are derived.Maximum stress criterion,Maximum strain criterion,Hill criterion and Cai-Wu criterion are showed.The solid model of level-stability-panel is built by CATIA software,its finite element model by PATRAN/NASTRAN software.Through finite element analysis,the stresses and displacements of level-stability-panel are obtained.In order to analyze the strength of asingle part of level-stability-panel,the software CLOP is developed.The process of taking the data from NASTRAN's results and importing them to CLOP is showed.The strength of back wall of lev el-stability-panel is calculated by CLOP.

论文叙述了复合材料力学分析的基本方法，并推导了相应的计算公式，给出了几种常用的强度准则；利用CATIA软件对某型直升机的平尾进行实体建模，然后在PATRAN/NASTRAN软件中读入该模型，形成了有限元分析模型，并进行有限元分析，获得了平尾的应力云图和位移云图；为了对平尾的局部复合材料结构进行强度分析，开发了CLOP程序；从平尾结构中取出后樯作为强度分析的对象，表示了从NASTRAN分析的结果到CLOP程序输入的方法，计算出了后樯的强度数据。

In addition,under some growth conditions on the nonlinear functions involved in the system,it is shown that the designed controller can be that the closed-loop system achieve finite gain L2 stabilizability.Accordingly,an estimate of the finite gain is obtained.

另外，针对哈密顿系统中的非线性函数提出进一步的演变条件，利用相同的反馈律使得闭环系统达到有限增益L2镇定，同时获得有限增益的估计值。

In the representation theory of finite-dimensional algebras, combinatorial tools as quivers and their representations provide effective method in computing Hochschild homology and cohomology groups of finite-dimensional algebras.

代数表示论中的组合工具—箭图及其表示的发展和应用，为计算有限维代数的Hochschild同调群与上同调群提供了有效的方法。

In particular, we compute Hochschild homology and cohomology groups of infinitedimensional path algebras and some of their quotient algebras, and we prove that for a general monomial algebra (not necessary finite-dimensional), all Hochschild cohomology groups of positive degrees vanish if and only if its Gabriel quiver is a finite tree.

特别地，我们计算了无限维路代数以及某些商代数的Hochschild同调群和上同调群，而且给出了一般单项代数的各正次Hochschild上同调群为零的充分必要条件，即它的Gabriel箭图是有限树。

By means of the difference discrete variational principle, discrete Legendre transformation and discrete version of the E-L cohomology, for a kind of regular meshes we''ve found there is a kind of symplectic/multisymplectic structures with corresponding symplectic/multisymplectic finite element method/mixed finite element method schemes.

利用差分离散变分原理、离散Legendre变换和EL上同调的离散形式，对于正规网格找到一类有限元和混合有限元的辛或多辛结构，以及相应的辛有限元/混合有限元格式。

Ngai and Wang [9] introduced the notion of finite type and described a scheme for computation of the Hausdorff, Box dimension when the finite type occurs, which, however, forces the ratios to be exponentially commensurable.

Ngai和Wang[9]提出了有限型的定义并给出了当迭代函数系统是有限型时计算系统吸引子Hausdorff，Box维数的方法，但有限型的定义要求相似变换的压缩比必须满足对数值可公度。

These are places without aristocratic baggage; egalitarian places open to talent, self-improving, engaged in learning and innovation through networks that were at once competitive and cooperative.

这些地方没有贵族遗风作祟，而且对于那些有天分的人是开放的平等之地，这些人善于通过那些曾经很具有竞争力与合作精神的关系网进行自我提高以及学习创新。

Christine: You don't want to see me?

你不想见我？