查询词典 differential calculus

The functional by variational calculus leads to a set of elliptic partial differential equations,in particular,Poisson equations,which is possibly solved by numerical methods.

利用变分法可以从这个二次误差指标函数导出一组椭圆形偏微分方程泊松方程，这类方程有相当成熟的数值解法。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

Proves the calculus basic formula by the relation between function increment and differential,states briefly the intrinsic connection among indefinite integral, definite integral,derivativee and defferential.

利用函数增量与微分的关系证明了微积分基本公式，简洁地阐明了导数、微分、不定积分和定积分的内在联系。

This data visualization system in this thesis has an extensive function, including calculus operation, solving the algebraic equation and differential equation, the operation of series and the transform of integral and so on.

本设计开发的数据可视化系统具有强大的运算功能，包括微积分运算、代数方程与微分方程的求解、级数运算、积分变换等。

This paper expresses several kinds of functions to the differential coefficient of intermediate variable, then in means of calculus and in use of the technique of variable replacement , finding the effective way to the solution of these kinds of function ; moreover, it gives the expression to the function solved.

本文提出了若干类函数对中间变量的导数，借用微积分的方法，运用变量替换的技巧，找到了求这几类函数的有效方法。

This paper, by means of Rolle theorem, introduces constant method to demonstrate mean value theorem for differential calculus and attains the corresponding supplementary function of the demonstrating method.

借助于Rolle定理，用待定常数法证明了微分中值定理，得到了该证明方法的辅助函数簇，这种证明方法对解决同类问题有很好的推广应用价值。

Published Nova Methodus Pro Maximus et Minimus ('New Method for the Greatest and the Least'), an exposition of his differential calculus

出版专业的Maximus新星Methodus等按蚊（'新方法的最大和最不'），是他微分博览会

This course focus on mathematic tools such as vector calculus, orthogonal function, fourier series, fourier analysis, fourier transform and partial differential equations, etc.

此一数学工具为本课程的教学重点，包括向量微积分、正交函数与傅立叶级数、傅立叶分析与转换、以及偏微分方程等内容。

Real options theory, which combines corporate finance, investment decisions and management science, deeply applys mathematical tools, such as stochastic calculus, optimal stopping times, martingale, stochastic differential equations, game theory, etc. Real options analysis overcomes the drawbacks of traditional methods, and provides a new method of investment decisions, financing policies and risk management for the corporate.

实物期权方法深入应用随机分析、最优停时、鞅、随机微分方程、博弈论等数学工具，并与金融学、投资决策和公司管理等学科相互结合，克服了传统方法的局限，为企业提供了一套投资财务战略管理和风险管理的新方法。

Real options theory, which combines corporate finance, investment decisions and management science, deeply applys mathematical tools, such as stochastic calculus, optimal stopping times, martingale, stochastic differential equations, game theory, etc.

实物期权方法深入应用随机分析、最优停时、鞅、随机微分方程、博弈论等数学工具，并与金融学、投资决策和公司管理等学科相互结合，克服了传统方法的局限，为企业提供了一套投资财务战略管理和风险管理的新方法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。