给出了指数迭代序列的极限函数的一些性质。
Some properties of the limit function of the iterated exponentials sequence are presented.
众所周知，连续函数列的极限函数不一定是连续的，这在理论与应用上均造成许多障碍。
The limit function of the sequence of continous function is not always continous. It brings about many difficulties in theory and application.
在高温极限下，不同自由度的配分函数会有不同，这依赖于他们具体能级结构。
What'll happen in the high temperature limit might vary, depending on the structure of the energy levels.
本文讨论了在幂指函数求极限的过程中利用等价无穷小量代换，提出了四条定理，并给出了证明。
This article mainly discusses about how to take advantage of infinitesimal quantity to get the limit of power-exponential function.
并讨论说明了导函数的右(左)极限与右(左)导数之间的关系。
And demonstrates the relations between the right (left) limit of function and right (left) derivative.
第一个是关于如何通过极限环分析建立描述函数法与相平面法之间联系；
The first one is about how to build the connection between describing function method and phase plane method through limit cycle analysis.
在二维或三维的情况下，屈服极限是当所有应力分量的某个函数达到某一固定值时达到的。
In two and three dimensions the yield limit is reached when a certain function of all the stress components reaches a fixed value.
微积分研究的对象是函数，研究工具是极限，微积分概念的定义方式与以往学习的初等数学概念有本质的区别。
Functions are research objects of the calculus and limit is its research tool. The way to define the calculus concept differs distinctly from that of elementary mathematics.
给出了在无穷远处具有有穷极限的函数的有关导数的几个定理及其严格证明。
The paper gives several theorems for derivate of the function with finite limit at the infinite point and its strict proof.
在一系列不同的极限状态函数条件下，对随机抽样法和拉丁超立方抽样法以及是否使用方差减缩技术进行了比较研究。
Comparative study on random sampling and Latin hypercube sampling with and without variance reduction techniques is carried out to a number of different limit state functions.
基于极限状态函数矩估计的失效概率计算，提出一种新的可靠性灵敏度分析方法。
Based on the moment estimation of limit state function for calculation of failure probability, a new reliability sensitivity analysis method is presented.
在高等数学的教学中发现很多学生在函数极限运算方面面临不少问题。
Found many students facing many troubles in higher math's study in the limit of function operation aspect.
针对结构隐式极限状态函数的可靠性分析，提出了一种支持向量机分类迭代算法。
For reliability analysis of structure with implicit limit state function, an iterative algorithm was presented on the basis of support vector classification machine.
揭示了海涅定理的内涵，分别给出了不同函数极限的海涅定理，归纳总结了它的应用并举出实例。
This paper is intended to give a definition of Heine theorem in different functions limits and summarize its application through illustrating examples.
针对这样的情况，本文提出了通过人工神经网络拟合极限状态函数的方法来解决结构系统的可靠性问题。
To such a situation, this text has put forward and fitted the reliability problem of solving structure system of method of the state function of limit through the artificial neural network.
大多数函数的极限运算问题可用常规的算法及运算法则解决。
Most of the problems on functional limit operation can be solved through regular algorithms.
高等均值法是在隐式极限状态函数下计算结构可靠性的有效方法。
Advanced mean value method is an efficient method in reliability analysis under the condition of implicit limited state functions.
为了得到关于弱集值渐近鞅的收敛性质，首先证明了支撑函数列的极限亦为一支撑函数。
In order to get the convergence properties of the weak set-valued Amart, we firstly proved the theorem that the limit of support functions is a support function.
实现了不断变更结构的连续分析，还连续生成极限状态函数。
Both the sequential analysis for the structure continual variation and the generation of the limit state functions of structure can be realized.
讨论均匀磁场中三维各向同性带电谐振子的双波函数描述，得到量子和经典极限条件下的结果。
Double wave function quantum theory is applied to describe the motion of three dimension isotropy charged harmonic oscillator in a uniform magnetic field.
《数学分析》是用极限方法研究函数性态的一门课程，其基本思想是运动辩证的逼近思想，基本工具是极限理论。
Mathematic analysis is a course of studying function by limit method with dialectical closing thought of movement as its basic idea and limit theory as its basic tool.
函数极限的计算是高等数学教学的基本要求，本文归纳了函数极限计算的一些常见方法与技巧。
The computation of function limit is essentially required in higher mathematics education. This paper sums up a lot of common skills and methods of computing function limit.
由于幂指函数形式的独特性，使得幂指函数的极限显得复杂。文中给出了求几种类型幂指函数极限的简捷方法。
Due to its unique characteristics, the calculation of the exponential function limit seems complicated. This paper discussed several simple ways to calculate the exponential function limit.
当目标函数是塑性极限弯矩凸函数时，证明了这一最优性条件也是最优解的充分条件。
It is proved that the optimality conditions are also sufficient if the objective function is a convex function of the plastic limit bending moment.
分段函数是函数问题中难点，本文就分段函数在分界点的极限，导数、定积分的运算问题探讨一些新方法。
This text will talk about some new methods about the limit of disjunction function in the boundary and the operation of lead number and definite integral.
为了很好地掌握求极限的方法，尤其是如何很好地结合第二个重要极限求函数的极限，本文专门以定理的形式给出幂指函数求极限的方法。
The paper provides the theorem of the limit of combination of power and exponent function, which gives us a new method to work out the limit of this kind of function.
应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
应用函数列的极限与函数的极限交换次序定理，研究了二元函数的二重极限与它的两个累次极限的关系定理，研究了二元函数的两个二阶混合偏导数可交换次序定理。
By using the limits of functions and the exchange limit theorem, we considered the relationship between the double limit of function with two variables and its repeated limits.
应用推荐