查询词典 partial derivative

This article which points out the importance of the partial derivative of the unit vector through the common mistakes in the vector analysis and carries on the analysis of the practical examples enables the general scholars to have a comprehensive understanding to this question.

通过矢量分析中常见的错误，指出了单位矢量的偏导数在矢量分析中的重要性，并举出实例进行分析，旨在使广大学者对这一问题有一个深刻的认识。

Firstly, this paper definited pseudometric d for n -foldproduct of σ-algebra A of subsets of a given set X , and definited indicator function ; secondly, gave the concept of differentiable of set function at S° and concept of partial derivative at S° with respect to the ith argument Si through indicator function, and defound the weak efficient solution of and optimality necessary condition; Finally, obtained three weak duality results and strong duality results under generalized convexity conditions.

首先，对已知集X的子集的σ-代数A的n-折积A^n，定义了伪度量d，给出了相应的特征函数〈h，Is〉；其次，通过特征函数给出了集函数在S 可微的定义及集函数在S 关于第i个变量Si的偏导数定义；给出了多目标规划问题的弱有效解概念及的最优性必要条件；最后，分别在目标函数和约束函数的3种较弱凸性条件下，研究n-集函数多目标规划问题的对偶问题，获得了3个弱对偶结果和强对偶结果。

The paper prices bond and bond option, analyzing dynamic interest rate, regime-switching and option pricing. According to the affection of regime-switching to interest rate derivative pricing, the paper deduces the partial differential equation of bond pricing with Ito lemma, and obtains characteristic function and recursion equation of bond option.

从利率动态变化、结构转换和期权定价三个方面进行分析，对结构转换下的债券和债券期权进行定价，考虑了结构转换对利率衍生物定价的影响，利用Ito引理获得债券定价的偏微分方程，并得到债券期权定价的特征函数与递归等式。

In this paper,two nonlinear anisotropic diffusion filtering methods are presented and they are based on the multispectral anisotropic diffusion models proposed by Pope and Acton.We build a couple of new diffusion coefficients in partial derivative equation based on Tukey's biweight estimator error norm by recurring to the relationship between robust statistics and anisotropic diffusion incorporated with the nonlinear time-dependent cooling technique for gradient threshold.

在Pope和Acton提出的两个多光谱图像各向异性扩散滤波模型的基础上，通过各向异性扩散和稳健统计学的联系，建立了基于B iwe ight Estim ator误差模型的扩散系数，同时利用非线性退化技术对梯度阈值的改进，提出了两个基于各向异性扩散方程的非线性滤波方法。

In this paper we have shown that if the partial derivative of function f with respect to x is uniformly continuous then total stability of zero solution of system implies uniformly exponential asymptotic stability of zero solution.

本文证明了若系统有一致连续的偏导数，则系统的零解在经常扰动下稳定可推出零解一致指数型渐近稳定。

One can obtain the explicit formulation to calculate the displacement through setting the partial derivative of object function to zero.

通过偏导数等於零，得到求解位移向量的显式运算式，算法具有设计合理、实现简便、计算量小等特点。

The canonic OC expansion of the first-order Boolean partial derivative of the OC type logic function was discussed.

讨论了OC型逻辑函数一阶布尔偏导数的规范OC展开式。

Hongkong as a part of the imperial empire of the middle was no subject of international law. Under the colonial lordship of the United Kingdom possessed Hongkong derivative, partial and particular subjectivity of international law, which has been statutorily protected in the Special Administrative Region of the Peoples Republic of China since 1997 and continues in larger extensiveness in the practice.

直至1842年，作为清政府以前历朝历代中国的一部分，香港不是国际法主体；英统时期香港拥有派生的、部分的和个别的国际法主体资格；九七之后，作为中国的特别行政区，香港继续享有这种资格，并得到法律的坚实保障和在范围上的扩展。

Comparing by actually measured result,the absolute average errors of tidal frequency of partial tide M\-2,partial ti...

结果计算值与实测值相比，M2 、K1 、O1 分潮振幅的绝对平均误差分别为 3.4 cm、 4 。7cm、 5 。1cm ，相位绝对平均误差分别为 7.1°、 9.3°、 7.2°，在潮波模拟可以接受的误差范围内，模拟的潮波系统与实测的潮波系统符合良好。

Fuzzy logic is studied with algebraic tools in this paper. A kind of algebraic abstract of fuzzy logic, Implication Algebra on a partial ordered set, is given. The relations between Implication Algebra and other algebraic structures, such as MV-Algebra and Heyting Algebra etc., and the filter and the structure of Implication Algebra on a partial ordered set are studied.

本文的目的是使用代数工具对模糊逻辑进行研究，给出模糊逻辑的一类代数抽象，即偏序集上的蕴涵代数，研究偏序集上蕴涵代数与其它代数结构，如MV-代数，Heyting代数之间的关系，以及偏序集上蕴涵代数的滤子与其结构等。

The witness also told the jury at the Royal Courts of Justice in London that he saw a paparazzo fighting with a member of the public who was trying to stop him taking pictures in the minutes before the emergency services arrived.

他还告诉在伦敦皇家法庭的陪审团，在急救服务到来之前，他当时看见一个狗仔队正和一群阻止他拍照的人打架。

The entire N／C program on a tape is made up of an accumulation of these successive data blocks.

纸带上的整个数控程序由这些连续数据单元连接而成。