查询词典 calculus of finite difference

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。

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。

Polynomial function ; Finite commutative ring ; Finite commutative local ring; Teichmller representatives; Witt polynomial

基础科学，数学，代数、数论、组合理论多项式函数；有限交换环；有限交换局部环； Teichmller提升； Witt多项式

The following two open problems in the component theory of complete lattices are studied:(1) In a non distributive complete lattice, is it true that any component of an element with finite width is also finite wide?

：研究了完备格成分理论中两个尚未解决的问题：在非分配的完备格中，有限宽元素的成分也是有限宽的吗？

Through constructing a counterexample it is showed that there is a non distributive complete lattice in which a component of some element with finite width is not finite wide....

通过构造反例证明了在非分配的完备格中，有限宽元素的成分不必是有限宽的；还证明了完备格间的同构映射能保持颗粒表示性质和颗粒性质，通过反例证明了同构映射的条件不能减弱，从而解决了以上两上问题。

By compared data, we learned that the complex model imitates close to experiment results, and the shear strength by simplified model of finite element analysis is quite closer with test results.Through the test results and finite element analysis, we can draw a conclusion that the wall we tested can satisfy engineering application.

笔者将有限元分析结果与试验结果进行了对比分析：考虑细节的复杂有限元分析模型的模拟结果在一定范围内较接近试验结果，采用有限元分析简化模型计算得到的墙体试件抗剪强度和试验结果更为接近。

The problems by using 2D finite element computing modeling to study the local magnetization for tank floor are analyzed, and 3D finite element modeling is set up.

在比较了多种研究材料内部磁场分布的方法的基础上，分析了二维有限元模型在研究局部磁化中存在的问题以及采用三维有限元计算的必要性。

Based on analyzing characteristic of heat exchange with finite element method, the paper transforms the finite element computing problem into a nonlinear optimizing one with some restriction, and solves it using the Hopfield neural network.

根据热传导有限元分析的特点，把有限元计算问题转化为带约束的非线性优化问题，并给出求解决该问题的改进Hopfield网络，最后对一个简单温度场神经计算进行数值仿真。

The paper investigates finite element theory、mechanical vibration theory、thermal mechanics theory. It analyzes and researches torpedo car structure through summarizing the practical project experience. This paper establishes the reasonable finite element computing model. So as to make sure the computation gets analysis results more accurate.

本文研究了有限元理论、机械振动理论、计算机辅助工程分析方法和热力耦合理论，在总结实际工程经验的基础上对混铁车罐体结构进行分析研究，建立了合理的有限元模型，以求达到相对精确的分析结果。

Secondly, a finite element method is used to approximate the constrained minimization problem, both existence of minimizer for cost functional in finite demensional space and the convergence of minimizer are proven.

然后利用有限元方法对上述定解问题进行离散，并证明了有限维空间上泛函的极小元存在以及有限维空间上的极小元收敛到无限维空间上的极小元。

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。