查询词典 monotone nonincreasing function

We obtained the monotone property of the maximum function of Z distribution density function.

其中，a与b是两个正参数，一般对Z分布的研究，主要着重于其概率意义[2]。

In this paper, by using some characteristic quantities such as value function, trust region radius, etc. in trust region method, we present a global error bound for the distance between a feasible solution and the optimal solution under the condition that the gradient vector of the objective function is strongly monotone.

本文利用信赖域方法中的几个特征量（由预测下降量给出的价值函数与信赖域半径等），在目标函数的梯度向量是强单调的条件下，为约束最优化问题的可行解与最优解之间的距离提供了一个全局误差界。

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。

The model generalizes the input-output function in transiently chaotic neural network to a class of continuous, differentiable and monotone increasing functions. Secondly we study the uniformly asymptotical stability of equilibrium in the non-autonomous model. Finally, several examples and numerical simulations are given to illustrate and reinforce our theories. In chapter 3, we firstly introduce a specific class of discrete-time neural network models with sinusoidal activation function.

在本文的第二章中，首先介绍了一类具有广义输入输出函数的非自治离散神经网络模型，该模型把瞬时混沌神经网络模型中的输入输出函数推广到了一般的单调递增且连续可微的函数；其次，利用Schauder不动点原理和利用Lyapunov函数逆定理依次证明了模型平衡点的存在性和在时变权值下的一致渐近稳定性；最后，对几个具体的例子进行数值模拟，数值模拟的结果更好地说明了我们的结论。

Let G be the domain whose inverse image is the cross section of u definedin (H1) where the mapping is affine,g and ψ are smooth functions and g＞0,thenthere is a unique smooth convex-monotone function which satisfies the followingproblem 〓Furthermore,if 〓 where C is a constant,ψis an affine function,〓 is astrictly interior sub-domain of G in the sense of"parabolic distance",then

若G为按（H1）中定义的u的截影经仿射变换而得的区域，g和〓为光滑函数且〓，则〓存在惟一的凸单调光滑解。若〓常数，〓仿射函数，〓为G在&抛物距离&下的严格内子域，则

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

This article intended to analyze and compare its function in English and Chinese social communication from the following aspects: protocol function in personal communication; active function in language speaking; humorous function in making the meaning of words more funny; deceit function in coving up the truth; ironic function in lashing out against the society and human nature.

本文从五个方面分析和比较了委婉语在中英社会交际中的功能，即：人际交流中的礼仪功能，言谈措辞的积极功能，使语言妙趣横生的幽默功能，掩盖事实真相的欺骗功能和鞭挞社会，人性的讽刺功能。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快，稳定性好；③提出了一种基于样条函数拟和的学习算法，由于样条函数具有很好的柔韧性和二次光滑性，将网络输入函数和连接权函数用样条函数的形式表示，可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题，从而可借助于现有的神经网络学习算法训练过程神经元网络；④建立了一种基于Walsh函数变换的学习算法，利用Walsh函数系的完备正交性，可大大降低网络计算的复杂度。

The system can receive data from the STEP-NC interpreter by using the resource model of the function block type database, then translate the receiving data into the data of function block format; the tool path generator can dynamically transfer the function block in the function block type database; it can also use the data of function block management resource to export DSP order; depending on VC to edit function database and Dynamic Linkable Library, we can connect the tool path generator with research platform, use the tool path generated from the tool path generator to drive the tool move.

结果 通过功能块类型库中的资源模型接收STEP-NC解释器解释的数据，并将接收的数据转化成功能块格式的数据；依据工艺规划好的加工工序，刀具路径生成器动态调用功能块类型库中的功能块；利用功能块处理资源提供的数据，输出DSP指令；依靠VC语言编辑函数库和动态链接库，将刀具路径生成器与实验平台建立关联，基于刀具路径生成器生成的刀具轨迹驱动机床刀具运动。

This paper expounds six functions of context that is omissible function, simplification function, definiteness function, explanation function, generative function and restrictive function.

接着，本文简要概述了中外学者研究语境的情况，阐述了语境的六种功能：省略功能、简化功能、确指功能、解释功能、生成功能和制约功能。

But GST= 0.156, Nm=1. 588. As a result, the foundation of Youyongchi Avicennia marina population was the result of the migration of hypocotyles and human factors.

这项工作可以为海岸防护林中新引进种类的判定以及为研究种群建立者效应方法的确定提供科学依据。

The two-dimensional CDRC-ADI-FDTD update equations for collision unmagnetized plasma are induced. The unconditional stability of the CDRC-ADI-FDTD formulation for collision unmagnetized plasma is obtained by the examples.

推导了碰撞非磁化等离子体中的二维CDRC-ADI-FDTD迭代公式，并用算例验证了碰撞非磁化等离子体CDRC-ADI-FDTD算法也是无条件稳定的。