在很多实际问题中，会遇到求连续函数的极值问题。
In a lot of practical problems, one often encounters the extreme problem of continuous functions.
也是函数的极值、幂级数理论等众多数学理论的基础。
Is also a function of extreme value theory, and many other mathematical theory of power series basis.
多峰值函数的极值问题一直是优化领域中的一个难点和热点。
Extremum problem of multimodal functions is a difficult issue in optimization fields.
用特定系数法、换元法、配方法探求二元二次函数的极值公式。
The extremal formula of binary quadratic functions is studied by using method of undetermined coefficients, substitution method and method of completing the square.
本文使用二次型的理论进行判断，并将问题扩大为求任意多元函数的极值。
This paper USES the theory of quadratic form to distinguish this problem, not only that, it enlarge to calculate extreme value for function of many variable.
文中证明，特征线法的应力关系式与本文的屈服条件、屈服函数的极值条件是相同的。
When the material does not display a yield point, a quantity known as the proof stress is used when making design calculations.
对屈服条件与屈服函数的极值条件进行了讨论，在不需要流动法则的情况下建立了速度方程。
The extreme conditions of yield condition and yield function are discussed; and a velocity equation is established under the condition that no flow rule has been required.
摘要函数极值是应用数学解决实际问题的一个重要方面。
The function extreme value is an important aspect that applied maths solves the practical problem.
摘要李文学用拉格朗日函数提出求条件极值的充分条件，但他的证明却是错误的。
Wenxue li put forward a sufficient condition of conditional extreme value with Lagrange function but his proof is wrong.
本文中，利用目标函数或约束条件的几何性质，提供了某些多元函数极值或最值问题的几何解法。
In the paper, it provides the geometrical solution to extreme value of many variables function by geometric properties of objective function or constraint condition.
本文给出调和函数极值原理的一种推广。
The note gives an extension of extremum principle for harmonic functions.
研究一种多变量非线性函数极值的通用数值解法，并将这种算法应用于石英晶振热敏网络温度补偿系统中。
An universal numerical algorithm of extremum for multivariate nonlinear function is discussed, and is used in the calculate system of compensation for thermistor net.
微粒群优化算法是求解连续函数极值的一个有效方法。
Particle Swarm Optimization (PSO) algorithm is a powerful method to find the extremum of a continuous numerical function.
判别函数极值的方法是数学分析中的重要组成部分。
Extreme function analysis of the mathematical method is the important component.
对“抢渡长江”问题进行了分析，建立了一种函数极值的数学模型，分析了解题思路和初等求解方法。
In this paper, the problem of Crossing Speedily the Changjiang River is analysed, and a type of functional extreme value model is built, then its analysis and elementary solution is illustrated.
以中值定理为工具，给出了利用一阶偏导数判定二元函数极值的方法。
The criterion extreme value of binary function for first partial derivative is given by means of the mean value theorem. The two theorems are obtained.
本文给出了利用梯度判定多元函数极值的判别法，并提供了若干范例。
In this paper we give a method of test, which makes use of the gradient, to verify the extreme value of multivariate function, and give some typical examples.
本研究所建立的冲线模式是依据多变数函数极值法与静力学力矩平衡原理设计而成。
The loom finish modeling in this research is designed according to the extreme of function and the statics moment balance theory.
由于较粗尺度下目标函数呈现较强的凸性及较少的局部极值，很有利于收敛至优化解。
Objective function presents comparatively strong convexity and lesser local extreme values on wide scale which is favour of converging to optimized values.
实验表明，模糊互信息函数比互信息函数具有更少的局部极值点和更好的优化特性。
Experiment results show that similarity measure based on fuzzy mutual information has less local extremums and better optimization character.
同时，在具体反演中使用快速模拟退火算法，可以克服目标函数局部极值的限制，从而获得全局最优解。
Meanwhile, we use a fast simulation annealing algorithm in the inversion, which can overcome the limitation of the local extremum of objective function, and acquire a global optimum result.
本文给出一类多元函数—三元函数是否存在极值的快速判别方法，并讨论它在实际问题中的应用。
In this paper, a convenient judgement method about extreme value of one class multivariate functions-trivariate functions was given, and its application in reality was discussed.
利用函数行列式求得多元函数在附加条件下的可能极值点。
Striving for the possible extreme value points of poly function with addition condition by using the function processions.
这本书的目的是为了提供各类凸集和凸函数理论的介绍，它们在极值问题的应用中发挥核心作用。
The purpose of this book is to provide an exposition of the theory of convex sets and functions in which applications to extremum problems play the central role.
通过对两类特殊三元函数极值问题的探讨，得到了由其系数来判别它们能否取得极值的充分条件。
Via the discussion about the extremum question of two kinds of special ternary function, Obtain the sufficient condition of judging if they can get the extremum by their coefficients.
本文就二次可微函数类给出一类求大范围极值的区间迭代方法。
In this paper an interval iterative method is given for seeking the global maximum of a second order differentiable function.
经典的粒子群优化算法是一个在连续的定义域内搜索数值函数极值的很有效的方法。
The classical Particle swarm optimization (PSO) algorithm is a powerful method to find the minimum of a numerical function, on a continuous definition domain.
经典的粒子群优化算法是一个在连续的定义域内搜索数值函数极值的很有效的方法。
The classical Particle swarm optimization (PSO) algorithm is a powerful method to find the minimum of a numerical function, on a continuous definition domain.
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