微积分

I've used it in programs written for courses of Optimization Methods, Identification, Calculus, and Dimensional Analysis.

在我使用的优化方法，识别，微积分课程编写的程序它，量纲分析。

The introduction of displacement operator, derivation operator, integral operator and the operator, such as differential calculus operator and the definition of the form of computing, will be applied to similar derivation formula gives Newton a Kete Si formula and Bernstein theorem Law said the operator, and form is derived; linear differential equations is the operator solution.

有没有高手可以帮我翻译下这段话啊？？？引入位移算子、求导算子、积分算子和差分算子等微积分算子的定义及其形式运算，将其应用于近似求导公式；给出牛顿一柯特斯公式和伯恩斯坦定理的算子法表示，并进行形式推导；给出线性常微分方程的算子解法。

The development of calculus was based on not very strict but practical thought instead of Euclid s strict thought.

微积分是在不很严格、讲究实用的基础上，而不是在欧几里得严密思想的基础上发展起来的。

Real Number System, Euclidean Space and Metric Spaces, Sequences in R and R^n, Differentiability on R and Rn, Integration on R and Rn, Infinite Series of Functions, Fourier Series, Fundamental Theorems of Vector Calculus, Inverse Function Theorem, Implicit Function Theorem and its Applications.

课程内容：实数系，Euclidean空间与距离空间，函数数列，函数级数，连续函数，可微分函数，可积分函数，反函数，隐函数定理及其应用，向量微积分基本定理，富氏级数。

His brother Johann or Jean (1667-1748) developed integral and exponential calculus.

其兄弟 约翰或让（1667-1748年）发展了整数和指数微积分。

With the discussion of extreme value problem of the multiple-valued function,and the popularizing of extreme value theory of the two-value function,This paper obtains differentiation rule about the extreme value of the multiple-value function,and illustrates the apllication of the theory with the example,providing proper guidance for the teaching of calculus.

文章讨论了多元函数的极值问题，并将二元函数的极值判定定理加以推广，得到关于多元函数极值的判定法则，并举例说明其应用，这对微积分的教学有一定的指导意义。

For the calculus of set valued functions,some convergence theorems about thePettis-Aumann integral,such as Fatou's Lemma,are mainly investigated;theproperties of the parametric Pettis-Aumann integral are gotten.

在集值映射的微积分方面，本文着重讨论了Pettis-Aumann积分的一些收敛定理，如Fatou引理等，并研究了含参变量Pettis-Aumann积分的一些性质。

For example, basic tools from calculus such as Fermat theorem, Rolle theorem and the intermediate value theorem may not necessarily hold and fundamental concepts such as chain and product rules and certain smoothness properties all need to be modified.

例如，微积分中的基本工具诸如Fermat定理、Rolle定理以及介值定理不再成立，一些基本的概念诸如链式法则、乘积公式以及某些光滑性都需要做适当的修正。

Advanced course covering topics selected from: semimartingale theory, stochastic integrals, homogeneous chaos expansions, stochastic differential equations, Malliavin calculus, infinite dimensional processes, functional central limit theorems, Feynman-Kac formula, Feynman integral.

随机分析：高级课程，包括：半鞅理论，随机积分，齐次混沌展开，随机差分方程， Malliavin 微积分，，有限维过程，泛函中心极限理论， Feynman-Kac公式， Feynman积分，过滤理论的应用，无限粒子系统，量子力学，神经学中的随机模型。

Non integer order differential and integral ; Fourier transform ; seismic signal processing

非整数阶微积分；傅氏变换；地震信号处理

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。