查询词典 analytic function of several variables

The paper studied how to structure a kind of counterexample function in the analysis and widespread application emphatically, further pointed out the misunderstandings easily appeared in the concept and theorem of continuity, derivable, integrable, and other analytic properties of the function and gave the corresponding counter-example finally.

研究了一类函数在分析学相关反例构造中的应用，进一步指出有关函数的连续、可导、可积等分析性质的概念与定理中容易出现的误区，并给出相应的反例，希望能引起高校师生对该类函数的重视，进一步提高教学效果。

A universal analytic potential energy function is derived using the cosine function with a phase factor,which is suitable to be applied to the interactions between two atoms in a molecule or molecule and ion.5 kinds of common potential curves are obtained by adjusting phase factors.

利用一种带相位因子的余弦函数，导出了适用于双原子分子或分子离子间相互作用的普适性解析势能函数，通过调节相位因子可获得5种常见形态的势能曲线。

The main contents of this course include: complex number and planar point set, function of complex variable, complex integral, series, residue, conformal mapping, analytic extension, harmonic function.

本课程的基本内容有：复数与平面点集、复变函数、复积分、级数、留数、保形映射、解析开拓、调和函数。

Comprehensively analysis of the notes of Weierstrass\' students on the lecture of "Introduction to analytic function", function theoretic system is clearly reconstructed.

详尽分析了魏尔斯特拉斯学生的"解析函数导论"课堂笔记，更加清晰地重构魏尔斯特拉斯函数理论体系。

An integral operator I(subscript n+p) defined by Hadamard product is introduced. Making use of this operator, the subclass S(superscript * subscript n+p) of p(superscript -) valent analytic function is defined in the open unit disk, the inclusion relation of S(superscript * subscript n+p+1)S(superscript * subscript n+p) and the best dominant function of differential subordination q1 are obtained. Furthermore, some conclusions are made according to the special parameters A and B.

用Hadamard卷积定义线性算子I，并利用算子I定义在单位圆内的解析的p叶函数类S(上标*下标 n+p)，给出了此函数类的包含关系S(上标*下标 n+p+1)S和微分从属的最佳控制函数q1，并根据参数A，B取不同的特殊值得出了相应的推论。

System is used VB6.0, MATLAB6.5 and MATLAB and Visual Basic OLE interface methods of production, use VB Visual Interface, the real object-oriented, event-driven approach using the structure of high-level programming language, the perfect tool Integrated production and friendly interface and features of MATLAB numerical terms, such as a strong graphic image processing function for the core to achieve the limit, derivative, differential, integral and indefinite integral, vector algebra and analytic geometry of space for the function will be Two aspects of the unique advantages of combining the strong points, to shorten the development cycle and reduce programming difficulty, the current rapidly changing information age is of high practical value.

在线等汉-英翻译，网上在线翻译的别回！！！！！系统是采用VB6.0、MATLAB6.5 和MATLAB与Visual Basic接口OLE方法制作的，利用VB界面的可视化、真正面向对象、采用事件驱动方式的结构化高级程序设计语言、工具的完美集成和友好性特点制作界面和MATLAB的数值计算、图形图像等强大的处理功能为内核来实现函数极限、导数、微分、定积分和不定积分、空间解析几何和向量代数的求解功能；将两方面具有的独特优势结合起来，取长补短，以缩短开发周期，降低编程难度，这对当前日新月异的信息时代是具有很高的实用价值。

Because the workpiece is in dynamic balance, the resultant moment acting on it should be zero. Introducing the moment from lapping tool and press head a moving differential equation is built. In this equation only workpiece rotating speed is unknown. It means that workpiece rotating speed can be got by this equation. Since there is a transcendental function in integral function of the equation an analytic result can not be got, only digital result can be got by a computer. Thus a change rule of workpiece rotating speed with lapping parameters is known, e.g. the radius of press disc ball socket, radius of press head ball, the distance between the workpiece rotating axis and lapping tool rotating axis, workpiece radius, modulus of elasticity of the press head and press disc, friction coefficients between the lapping tool and workpiece, and between the head and disc, pressure between the lapping tool and workpiece and pressure between the press head and press disc.

因工件处于动态平衡状态，其上所受到的来自于磨具和压头的力矩应相等，将二力矩表达式联立，建立工件运动微分方程，该方程中只有工件的旋转角速度是未知量，因此可以求出工件旋转角速度，但该方程积分式中含有超越函数，得不出解析解，只能通过计算机求出数值解，得出工件旋转角速度随各研磨参数的变化规律，如压盖球座半径、压头的球头半径、工件回转中心相对磨具回转中心的偏心距、工件半径、压头和压盖材料的弹性模量、磨具与工件间的摩擦系数、压头压盖间的摩擦系数、磨具与工件间的压强、压头压盖间的压力等。

The wavelet analytic method can find out global and local singularity and singular points of function by local maximum of wavelet transform of Lagrangian function which is made up of two constraint functions without regard for contents of optimization and constraint situation.

不管优化内容及约束情况如何，由对约束函数两两构成的拉格朗日函数的小波变换求局部极大值，将奇异点求解出来。本文对n维空间的小波变换寻优方法给予了理论上的研究与证明，并给出了具体的求解方法。

On the basis of this conclusion, we simplify the likelihood difference function, and the analytic form of the probability distribution function is obtained.

在此基础上对两个相邻区域的似然差函数进行简化，获得它的概率密度函数的解析形式。

The main goal is to use some results and methods from classical analytic-function theory to determine some of the most basic questions you can ask about linear operators and functional space. At the same time using functional space theory and operator theory as a tool to study the classical questions in function theory.

解析复合算子的研究是解析函数论和算子理论结合的产物，其目的是利用经典解析函数论中的方法与结论探讨泛函空间与算子理论中的一些最基本的问题，同时也以泛函空间与算子理论为工具研究函数论中的经典问题。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。