查询词典 analytic function of several variables

Therefore, using scientific research methods such as the historical analytic method, the analytic methods on musical score and theories speculative methods and so on, this paper explore the problem that the fusion of Jazz elements and Chinese musical culture.

所以本篇论文运用历史分析方法、音乐谱例分析方法和理论思辨方法等科学的研究方法，探究爵士音乐元素与中国音乐文化的融合，使人们可以更深入地了解爵士乐，肯定爵士音乐文化对中国现代音乐创作发展所做出的巨大贡献，并为我国今后音乐教育的发展和音乐创作工作的方向提供参考，以此来促进中国的音乐教育者和音乐创作者充分汲取世界优秀的音乐元素为中国的音乐创作出更多绚丽多彩的乐章。

Secondly,the deterministic equivalence problem of theprobabilistic inequality is discussed,and the expression formula of thedeterministic equivalences for several commonly used probabilitydistributions,such as normal,exponent,uniform,β and Γ distributions etc.,are given for the linear function with respect to random variables,which solvesthe problem of the deterministic equivalence for the linear-function-class.

其次，本章讨论了概率不等式的确定性等价问题，就随机变量的线性函数类，给出了与几种常用的概率分布，如正态分布、指数分布、均匀分布、β分布、Γ分布等等，相关的确定性等价问题。

Igusa's p-adic zeta function is associated to a polynomial f in several variables over the integers and to a prime p. It is a meromorphic function which encodes for every i the number of solutions M_i of f=0 modulo p^i.

在探究利用辐射型基底函数去解超奇异积分方程的数值解，我们选择了多重二次曲面函数和薄板型云线以及李纳德多项式去估计我们的解。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

Those local variables, parameter and function declarations have the values that they had when the outer function returned and may be interacted with by the inner function.

这些内部变量，参数和函数定义都有一个值可以用在外部函数返回时可以同内部函数进行交互。

First, for a given integer value of the objective function, the lower and upper bounds of the variables were determined by the optimum simplex tableau of the linear programming relaxation problem. Then the conditions on the bounds were added to the constraints as cuts to the associated objective function hyperplane. Finally, a branch procedure of the branch-and-bound algorithm was applied to finding a feasible solution on the objective function hyperplane.

对于给定的目标函数整数值，首先利用线性规划松弛问题的最优单纯形表确定变量的上、下界，然后将变量的上、下界条件加入约束条件中对相应的目标函数超平面进行切割，最后应用分支定界算法中的分支方法来搜寻目标函数超平面上的可行解。

In the optimization iteration, the levelset function values of nodes are considered as design variables. To computedifferences normally, the Heaviside function is handled for smoothing, theregularized Heaviside function is selected to avoid the oscillation inhomogenizations method, and the results can converge smoothly.

在优化迭代过程中，节点上的Level Set函数值被看作是设计变量，并且为了便于微分计算能够正常进行，对Heaviside函数及其导函数做了光滑化处理，选取了一种正则化的Heaviside函数，避免了均匀化方法中出现的振荡现象，可以平稳地收敛到最终结果。

In the thesis the theory of time series analysis, several models about time series analysis and the dynamic feature of time series analysis are expatiated in detail; how to use autocorrelation function and partial correlation function to judge the model is analyzed; a kind of better rule to determined rank is determined by comparing several kinds of determined rank; thereby the reverse function can be used to forecast.

本文详细阐明了时间序列的基本思想、几种常见的时间序列模型以及时间序列的动态特征；分析如何利用自相关函数和偏相关函数来对模型进行判定；通过对时间序列的几种定阶准则的比较，确定出一种较好的定阶准则来建立模型，从而利用逆函数法进行预报。

In this paper, the analytic solution for scattering of SH-wave by elliptic cylinder in anisotropic medium is given by the method of separation of variables in elliptic coodi- nates and Mathieu functions.

对于这一课题的研究，介质为各向同性时，有些学者采用波函数益加〔，积分方程技术田和Fourier积分方法⑧；介质为各向异性时，有些学者则利用复变函数构造解的完备函数序列，把间题转化为对一组无穷型的代数方程的求解〔魂，〔5，。

This article founds synthetic indicator systems for sustainable development, which cover the economic system, the social system and the system of resources environments and include 33 variables. In this article two kinds of objective weight method: principal components analytic method and entropy value method have carried on assessment of indicator systems for sustainable development.

本文建立了涵盖经济、社会、资源环境三大系统包括33个变量指标的可持续发展综合评价指标体系，用主成分分析法和熵值法两种客观赋权法进行了各系统可持续发展能力变动趋势的测度。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了