利用这些概念，得到了总极值的最优性条件。
With these concepts, integral optimality conditions for global optimization are obtained.
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.
该数据受极值的影响太大——少数人给出的答案高达几十亿美元。
It is too heavily influenced by extreme values - a few people gave their responses in billions.
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.
首先从多个方面探讨我国东部夏季降水极值的变化规律。
Firstly regulations of summer extreme precipitation over eastern China have been discussed.
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.
好，在这种情况下我们首先发现,之前用来找极值的方法都不可用。
The first observation is we cannot use our usual method of looking for critical points of f.
本文通过对边缘点的定义，提出了一种微分极值的边缘检测算法。
The paper defines the edge pixel in image, and brings forward a edge detection algorithm based on differential extremum.
在满足有关条件下，得到了计算电容电压稳态波形极值的两个公式。
Two formula calculating the extremum values of the steady-state waveform of the capacitance voltage are obtained in certain conditions.
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.
短期水电优化是过程问题，应该用泛函极值的变分法即欧拉方程求解。
Short term optimization of hydroelectric generation is a procedure problem and should be solved by the variational method of functional extreme value, i. e. , the famous Eulerian equation.
针对BP算法的收敛速度慢和局部极值的缺点，提出了两种改进方法。
Since BP algorithm has the defect that the speed of constriction is slow and have local extreme data, two kinds of improvement was put forward.
从图表2中展示的各月海冰范围极值的图像分布来看，情况显然不是这样。
That this is not the case becomes obvious from the graphical distribution of extreme sea-ice extent for each individual month that is shown in Figure 2.
气体炮加速度极值的计算有两种方法，一种是数值计算，一种是理论计算。
There are two methods to calculate the maximum value of the acceleration of an air gun: numerical and theoretical calculations.
复杂系统可靠度最优分配问题是一个具有多局部极值的非线性的优化问题。
An optimal apportionment of reliability problem of complex system is a nonlinear optimization problem with a large number of local extreme values.
该方法利用惯性矩是方位角的函数，且函数有极值的特征推出普遍性结论。
The general conclusion is derived by using the features that moment of inertia is a function of the Angle of rotation and the function has extreme value.
指出由于全球气候变暖对暴雨洪水极值的影响，将极大地影响我国的防洪安全。
It is also pointed out that global warming, variation of extremes of forms and floods will impact the flood control security of China.
定义了基于排列的染色体的局部极值，并以此为基础构造了求极值的爬山算法。
Local optimum of the permutation-based chromosomes is defined, and a hill-climbing algorithm is proposed to get the local optimum.
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.
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.
给出了一种普遍求解实际气体经过任意过程温度极值的计算方法，并举例进行了讨论。
A new method is presented to calculate temperature extremum of actual gas in arbitrary process and an example is given.
该方法从极值的理论求解出发，求得关于形状参数的关系式，然后进行迭代得到结果。
The new method gets the formula of shape parameter, from the extreme theory, then gets the result from trial.
为了考查砰击的族效应对波浪和砰击诱导组合应力极值的影响，定义了泊松砰击族过程。
In order to examine the cluster effect of slamming on the extreme combined value of the wave and slamming-induced stresses, a Poisson cluster process was defined.
在传统光顺算法的基础上，提出了以曲线曲率极值的均方差作为衡量曲线光顺的指标之一。
On the basis of traditional fairing algorithm, the curvature extremum of curve is used as one of the indices judging the curve fairing.
分析认为该电导出现极值的现象是因为高温晶格氧析出导致样品空穴载流子浓度降低所致。
This change is attributed to the hole carrier concentration decreasing with lattice oxygen releasing supported by iodic titration result.
首次推导出了CVC轧辊凸度与轧辊轴向移动量之间的非线性关系，提出了凸度极值的概念。
The nonlinear relationship between roll crown of CVC rolls and their shift amount is first deduced. The concept of crown limit is first given in the paper.
BP算法是前馈神经网络训练中应用最多的算法，但其具有收敛慢和陷入局部极值的严重缺点。
BP algorithm is the most popular training algorithm for feed forward neural network learning. But falling into local minimum and slow convergence are its drawbacks.
BP算法是前馈神经网络训练中应用最多的算法，但其具有收敛慢和陷入局部极值的严重缺点。
BP algorithm is the most popular training algorithm for feed forward neural network learning. But falling into local minimum and slow convergence are its drawbacks.
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