应用函数

Since a proposed application of Dirac structures is to the reduction of some mechanical systems, the reduction of Dirac structures is considered in detail in this paper, without using the existence of momentum mappings or the introducing of the notion of admissible function, etc..

因为引入Dirac结构的—个基本目的即应用于一些力学系统的约化，本文详细地讨论了Dirac结构的约化问题，包括其在Poisson流形以及Jacobi流形等的约化中的重要应用，重点利用了Dirac结构的特征对以及对偶特征对的工具，从而避开了讨论矩映射的存在性以及容许函数等一些复杂概念的介入。

In this paper,some problems on bivariate Hermite interpolation by polynomial are studied.The concepts of strong H-basis and Hermite interpolation along a plane algebraic curve are proposed.

1引言如所知，光滑函数方法被广泛地应用于计算机辅助几何设计，有限元及散乱数据插值与拟合(Scattered data fitting and interpolation)等领域·在应用该方法过程中，有关光滑或Hermite插值格式及其显式表达式问题的研究是至关重要的一个方面。

Choosing right functions and methods to describe objects in real life is one of the most important subjects of Approximation Theory and evenApplied Mathematics, and has extensive applications.

选择合适的函数和方法来描述和刻画实际对象是逼近论甚至整个应用数学的一个重要课题，在实际中有着重要和广泛的应用。

Decision rule chain and distance function of decision rule are proposed, by which the order of decision rules are explained. The group scale's effect on decision quality and the marginal contribution of decision-makers are analyzed. It's pointed out that the increase of the scale will enhance the decision quality with the optimal decision rule applied. Otherwise it is likely to weaken the decision quality. It's proved that for homogeneous group with simple majority rule applied the marginal contribution of decision-maker will decrease while the scale increases or the decisional competencies of other decision-makers increase; 3.We study the group decision-making with a leader in it. It's proved that the existence of the leader impairs the decision quality when the group applies the optimal decision rule.

研究了决策者的决策能力不确定情况下的群体决策，给出了最优决策规则，指出其仍然是广义加权多数规则；提出了决策规则链和决策规则距离函数的概念，利用这些概念解释了群体决策规则的序现象；分析了群体规模对决策质量的影响、决策者决策能力的边际贡献，指出当群体应用最优规则时，群体规模的增大会提高决策质量，否则群体规模的增大可能会削弱决策质量；证明了对于应用简单多数规则的同质群体，随着其规模的增大，决策者决策能力对决策质量的边际贡献会减小；随着其他决策者决策能力的提高，决策者决策能力对决策质量的边际贡献也会减小； 3。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and

本课程主要介绍函数和极限，一元微积分和它的应用，ABC级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

Function and limit, one-variable calculus and its application, ABC of progression and multiple-variable calculus, determinant, matrix and its calculation, system of linear equations and quadratic form, probability of occurrence, chance variable, law of large numbers and central limit theorem, sample and parametric estimation, variance analysis, regression analysis.

Advanced Mathematics 1 [Course Code 1040008 MAT114] 本课程主要介绍函数和极限，一元微积分和它的应用，ABC 级数和多元微积分，行列式和矩阵的应用，线性方程和二次方程式，事件的概率，偶然性变量，大数定律和中心极限定理，样本和参数估计，方差分析，回归分析。

In the second part, we make the study of the application of Z-transformation when we solve linear difference equation bearing constant coefficient and transmission function in pulsing system.

第2部分："Z变换的应用"，主要通过上1章研究的Z－变换的逆变换和10个性质定理，研究了Z－变换在求解具有常系数的线性差分方程和脉冲系统的传递函数方面的应用。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

Along with all the other initialisation and shutdown functions, two new functions are called: InitPhysics is responsible for initialising the simulation and positioning all the objects ready for the application to start, and KillPhysics tidies everything up once we're finished.

与所有的其它初始化和关闭函数一起，两个新的函数叫作：InitPhysics是？涸鹉D馄骱椭梦凰形锾遄急赣τ贸绦蚩荚诵校琄illPhysics在应用程序结束后清理所有东西。

In this paper, combining the moving Kriging interpolation method and meshless local Petrov-Galerkin method, an improved meshless local Petrov-Galerkin method is presented, in which the Heaviside step function is used as test function over the local weak form.

本文将滑动Kriging插值方法与无网格局部Petrov-Galerkin法相结合，采用Heaviside分段函数作为局部弱形式的权函数，提出一种改进的无网格局部Petrov-Galerkin法，进一步将这种无网格法应用于位势问题，并推导出相应的离散方程。

This one mode pays close attention to network credence foundation of the businessman very much.

这一模式非常关注商人的网络信用基础。

Cell morphology of bacterial ghost of Pasteurella multocida was observed by scanning electron microscopy and inactivation ratio was estimated by CFU analysi.

扫描电镜观察多杀性巴氏杆菌细菌幽灵和菌落形成单位评价遗传灭活率。