查询词典 calculus of finite difference

An in finite series that results in a finite sum is said to converge. One that does not, diverges.

一个无穷级数可求得和便称为收敛级数，若否，则称为发散级数。

K_ωby a finite sum of finite products of Toeplitz operators on L_α~2, and define the operator L_ω.

K_w表示为有限个Toeputz算子乘积的有限和形式，同时定义了L_a~2(D~n~⊥上的算子L_w。

In chapter 2, a finite element model for the composite sandwich plates is developed, based on the Zig-Zag deformation assumption and the first order shear deformation theory, and the finite element buckling analysis governing equations for the plates under mechanical, thermal and/or thermal-mechanical mixed loads are deduced respectively. By Von-Karman nonlinear deformation relations and Total Lagrange formulation, an incremental governing equation for postbuckling analysis is established and a corresponding effective computational scheme is presented..

第二章首先建立了基于Zig-Zag截面变形假定和Mindlin一阶剪切理论的夹层板有限元分析模型，分别推导了夹层板机械力、热载和热—机械力耦合屈曲分析的有限元列式和相应的屈曲前以及屈曲临界状态的平衡方程，基于Von-Karman大挠度理论，采用增量形式的全局lagrangian法推导了复合材料夹层板增量形式的几何非线性有限元离散平衡方程，给出了一种有效的非线性平衡方程的迭代求解格式。

The following is the main works of the paper.1 The weight and the center of weight of the whole hull, analysis by statics the weight of steel, the equipment, oil, water, crew and cargoes etc., conclude a method of calculating the weight and the center of weight of the whole hull,2 Work out the series of formula of distributing the water pressure of wave to the corresponding nodes on the plate, conclude a method of calculating the flotage and the center of the flotage,3 Analysis the method of adjusting the equilibrium of the hull, the finite element module of the hull, and the character of the linetype, by ship statics principle, work out a series of formula of adjusting longitudinal slant, preliminarily confirm the parameter and the range,4 Program in FORTRAN, and link into ANSYS, for auto-loading when analyzing the whole hull by the FEA,5 Make the finite element module of a real hull, calculate the weight and the center of the weight, the flotage and the center of the flotage, compare the result of manual calculation with the computed result, analysis the deviation of the program.

3通过分析船舶常用浮态调整方法、船体结构有限元模型和船体线型特征，运用船舶静力学原理，推导船舶浮态纵倾调整公式，分析了基于船舶结构有限元模型的纵倾浮态调整方法和初步探讨了纵倾浮态调整中的参数确定方法以及初步确定这些参数的取值范围。 4用本文推导的计算方法和公式开发FORTRAN程序，并编译连接到有限元软件ANSYS中，用于进行整船结构有限元分析时自动加载计算。

Finite element model is made with finite element analysis software and the dynamic characteristics of an existing footbridge are analyzed.

针对一出现较大振动的人行天桥，利用有限元分析软件建立了计算模型并进行了动力特性分析，同时对结构进行了动力测试。

Based on the construction features of the Upper Beam of Large Open-die Forging Hydraulic Press,a finite element model has been established by using large-scale finite element analysis software I-DEAS,and the structural stress and displacement of the upper beam under all sorts of loads have been analyzed.

根据某大型自由锻造油压机上横梁的结构特点，利用大型通用有限元分析软件I-DEAS建立有限元模型，并对上横梁进行了静力学的有限元分析计算，研究了在满负荷工作状态下上横梁的结构应力以及位移情况。

The influences of forcecontolled finite element method and displacementcontrolled finite element method on soil free displacement field are compared.

计算结果表明，受力控制有限元法更符合施工过程；而位移控制有限元法则与实测值更接近。

Our studies mainly focus on the free groups with finite ranks . Free groups with finite ranks are the fundamental subjects of combinatorial group theory, and they have central importance for the studies of both topology and algebra.

我们研究比较多的是有限秩的自由群，有限秩自由群是组合群论的中心课题，是一个在拓扑学及代数学上都具有重要意义的研究对象，获取有关这些自由群的结构的信息的一个主要方法是研究其上的各种自同构作用。

Because the hardware and software may be implemented quickly if wechoose proper normal bases to represent finite fields. In this paper, we first introducesome basic definitions and facts on normal bases over finite fields, then extend theseresults to any Galois extension fields.

在这篇文章中，我们先介绍了有限域上的一些基本定义及关于正规基的相关结论，进而将域扩张到一般的伽罗瓦扩域中，得到了伽罗瓦扩域中正规基与其对偶基等价的充分必要条件，从而将有限域上正规基的等价条件推广到任意伽罗瓦扩域上。

In the face of above cases, this paper attempts to break through the bottleneck of data security with another way. Through study of Error Correction Code and Finite Field theoretics, this paper tries to apply the Reed-Solomom arithmetic based on Finite Field Galois Field to Redundant Array of Independent Disk, and tries to realize a simple RAID6 level programme, thereby could offer an idea for securer storage device.

面对这样的现实情况，本文试图换个角度突破这个安全瓶颈，通过对纠错编码理论及有限域数学理论的一步步深入研究，尝试将基于有限域数学的Galois域Reed-Solomon算法应用到RAID(Redundant Array of Independent Disk 独立冗余磁盘阵列)磁盘阵列当中，并尝试实现小型的RAID6级别的实验程序，从而为实现更加安全的存储技术提供了思路。

You can snipe the second and third union leaders from this position.

您可以鹬第二和第三工会领袖从这一立场出发。

Aiming at the currently shortage of XML streams quality detecting, this paper proposes a new forecasting method of XML streams quality by least squares support vector machines, which is used the method of XML keys' vector matrix as windows, and vector product wavelet transform to multilevel decompose and refactor the XML streams series, that can fulfill real-time checking demand of XML quality, and ensure constraint, consist- ency and integrality. For even more adapting net load, it proposes a control strategy by weight and adaptive adjustment to ensure XML streams quality.

针对当前XML数据流质量检测存在的不足，提出构建XML键的矢量矩阵作为窗口，利用矢量积小波变换多级分解与重构XML数据流，再结合最小二乘支持向量机对XML数据流质量进行预测的一种方法，满足XML数据流质量重构时实时检测的要求，保证XML数据的约束性、一致性与完整性；为了更好的适应网络负载，采取加权与自适应窗口调整等调度策略充分保证XML数据流的质量检测。