极值问题

According to the theory of extreme values of independent and identically distributed random variables, the paper analyses the reliability of unbonded prestressed concrete members.

论文利用独立同分布随机变量的极值理论，分析了无粘结配筋对结构可靠度的影响问题。

The conventional nonlinear seismic inversion methods are low in convergence and sometimes will result in the problem of local extremum.

传统非线性反演方法存在着收敛效率低，有时会陷入局部极值的问题。

This paper introduces the homotopy algorithm into back-propagation neural network and indicates that the convergence speed can be improved and the defects of converging to local extremum can be eliminated.

同伦算法是解决非线性优化问题的新理论，将同伦算法引入误差反向传播神经网络，提高了网络的训练速度，消除了常规BP网络算法收敛于局部极值的缺点。

Particle swarm optimization algorithm is easy to be trapped into local minima in optimizing multimodal function.

针对利用粒子群优化算法进行多极值点函数优化时，存在陷入局部极小点和搜寻效率低的问题。

However,To prove Inequality with elementary method,we often create complex computational process. The second ,we will take full advantage of the knowledge of calculus Inquiry Testimony of inequality,and concluded the higher mathematics to prove Inequality several main method and its application conditions.Constructors in the context of the use of the monotone function,Calculus value theorem,function and the most extreme value,integral, it can be a very effective solution to the inequality problem proof. At last,we summed up several convenient and simple way to prove Inequality.It will be play a great role in our problem Solving.

但是用初等方法证明往往会造成复杂的运算过程，本文接着充分利用微积分的知识探究不等式的证明方法，并指出微分学和积分学在不等式的证明的具体应用，那就是在构造函数的背景下运用函数的单调性、微积分中值定理、函数的极值和最值、定积分，那么就可以十分有效地解决不等式中的证明问题，从而归纳出几种方便而又简捷的方法，这样对我们解题将会起到很大的作用。

It's regretted that the multi-extremum theory of portfolio selection with different fat tails is still a problem that needs to be resolved.

遗憾的是，具有不同厚尾的股票组合的多元极值分布理论，到目前为止仍然是有待解决的问题。

And it is an ideal method for searching the global solution of non-linear real variable functions.

对非相参和全相参信源波达方向估计问题的数字仿真结果表明，本方法的估计精度明显优于交替极值等一些常规方法。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

The existence of the solution is also demonstrated according to the sufficient conditions for the solution of the elliptic variational inequality.

首先证明了所构造泛函的强制性，从而证明了所构造的等价变分不等式解的惟一性，并根据椭圆型变分不等式解存在的充分条件论证了弹塑性接触问题解的存在性，为该问题的变分极值原理的建立莫定了数学理论基础。

Classical GAs can not surmount the ordering problems well.

遗传算法适宜于搜索高维、多局部极值、不连续及含噪音的复杂问题空间。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。