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Given some probability exponential inequalities of maximal partial sums for sequences of NQD random variables, some Laws of Logarithm and Laws of the Iterated Logarithm for Nonidentity Pairwise NQD Sequences are obtained.

通过建立两两NQD随机变量列最大部分和的概率Levy型指数不等式,给出两两NQD列的Petrov型对数律与重对数律,文献中相应结果成为其特殊情形,并得到加强。

It is difficult to solve the optimal iteration step and Lagrange multiplier in the gradient optimal power flow solutions. The saddle node iteration method was applied to solve the above problems based on a certain supposition.

在梯度法最优潮流的求解过程中,确定不等式约束的拉格朗日乘子以及求取最优步长等比较困难,文中在采取一定假设的基础上,运用鞍点迭代算法进行上述问题的求解。

The domain decomposition method of Jacobi type for the quasivariational inequality system is proposed and the corresponding monotone convergence theory is established.

然后提出了上述拟变分不等式组的Jacobi型区域分解法,并建立相应的收敛性理论。

We introduce the iterative method of Jacobi type to solve the discrete problem of the quasivariational inequality system. A new proof for the monotone convergence of the iterative method is given under appropriate conditions.

我们首先介绍求解Hamilton-Jacobi-Bellman方程的近似拟变分不等式组离散问题的一类Jacobi型迭代算法,在一定假设条件下,对这类算法的单调收敛性给出了一个新的证明。

The necessary conditions for the optimal plastic design are obtained by means of the Lagrange multiplier method,and then the optimality conditions are derived.

数学上它表述为一个具有不等式约束的泛函极值问题,应用拉格朗日乘子法得到了最优塑性设计的一组必要条件,并由此导出了最优性条件。

Secondly, the Lagrange mean value theorem in some proof of identity and the inequality in a wide range of applications.

其次,拉格朗日中值定理在一些等式和不等式的证明中应用十分广泛。

The theorem of mean has the Lagrange theorem of mean and the Cauchy theorem of mean, they are prove the inequality the powerful tool.

中值定理有Lagrange中值定理和Cauchy中值定理,它们都是证明不等式的有力工具。

This paper describes the content of the theorem, and theorems are given two proofs, cite the Lagrange mean value theorem in the mathematics major applications, including that inequality, identity, Limit, determine monotonicity, root The existence of such.

本文简要叙述了定理的内容,并且给出了定理的两种证明方法,例举了拉格朗日中值定理在数学中的主要应用,包括证明不等式,恒等式,求极限,判断单调性,根的存在性等。

Theorem of mean significance: The application derivative research function's nature wants directly or indirectly with the aid of Yu Zhongzhi,Specially Lagrange theorem of mean,Here is mainly from the equality proof, the inequality proof, existence asks some limits, the determination equation root and so on five aspects to carry on the discussion,so, The theorem of mean is transforms as the function in the sector research important tool, Must bring to the enough attention in the middle of ours study and the teaching.

中值定理意义:应用导数研究函数的性质都要直接或间接地借助于中值,特别是拉格朗日中值定理,这里主要是从等式的证明、不等式的证明、求一些极限、判定方程根的存在性等五个方面来进行讨论,因此,中值定理是转化为函数在区间上的研究的重要工具。在我们的学习与教学当中要引起足够的注意。

An exact augmented Lagrangian function for the nonlinear nonconvex programming problems with inequality constraints was discussed.

对求解带有不等式约束的非线性非凸规划问题的一个精确增广Lagrange函数进行了研究。

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