查询词典 monotonic function

According to the structured element representation theorem of fuzzy number and fuzzy-valued function, we obtained one-to-one isometric mapping from the family of standard bounded monotone function with same monotonic formal on [-1, 1] to the fuzzy number space, and proved they are homeomorphic.

在模糊值函数的模糊结构元表述理论的基础上，利用[-1，1]上同序标准单调函数类上的距离诱导出模糊值函数空间上的距离，证明了模糊实数空间与[-1，1]上同序单调函数类同胚。

Owing to the monotonic mapping of fuzzy structured element established the homeomorphic property between fuzzy number space and the family of standard bounded monotone function, so, we can transform the study of any properties in fuzzy number space to the corresponding one in the family of standard bounded monotone function, e.g.

本项目针对矿井下采空区岩石陷落形成的多孔隙介质空间的极度不规则性，建立一种以模糊值函数分析学为基础的、更接近于刻划采空区内气体流动实际状况的模糊微分方程及各种边值问题，进而得出解算复杂采场气体模糊渗流问题的数学方法。

In Chapter 2, a nonmonotone trust region method with a line search technique is presented. Unlike traditional trust region methods, our method does not restrict a monotonic decrease of the objective function value at each iteration, but only requires an average of the successive objective function values decreasing.

第二章，我们提出了一类带线搜索的非单调信赖域算法，与传统的信赖域方法不同的是：我们的算法不要求目标函数值在每一步都有充分下降，而是要求目标函数的连续平均值充分下降。

Engineering design problems have two characteristics: the design variables are often monotonic in the objective function and constraints. Moreover, the objective function and constraints are often implicit functions which cannot be expressed explicitly in terms of design variables.

工程最佳化设计问题通常有两个特性：设计变数在目标函数与限制条件常具有单调性，且其目标函数与限制条件常为内隐式函数，也就是不能以设计变数来表示其外显形式。

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。

Language functions include informative function, interpersonal function, performative function, emotive function, phatic communion, recreational function and metalingual function.

语言功能包括：信息功能，人际功能，施为功能，感情功能，交感性谈话，娱乐性功能和元语言功能。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。