查询词典 continuous differentiability

Systems of inqualities,the minimum or maximum of a convex function over a convex set,Lagrange multipliers,and minimax theorems are among the topic treated,as well as basic results about the structure of convex sets and continuity and differentiability of convex functions and saddle-functions.

其中对不等式系统、凸集上的凸函数的极小或极大、拉格朗日乘子和极小极大定理做了专题论述，同时对凸集的结构和连续性以及凸函数的可微性和鞍点函数的基本结果做了介绍。

All the Tikhonov regularization theory, regularization operator and regularization parameter are given a complete analysis and discussion. The differentiability of Morozov discrepancy equation is investigated. And the image noise, as the knowledge a prior, is estimated and the equation is modified.

图像复原计算方法的研究是一个反卷积的病态性求解问题，本文用反问题正则解的基本理论，对经典的图像复原方法依正则化思想进行了细致的分析与研究。

Based on the sizeof the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence.

摘要通过函数的下卷积函数列的逼近方法，在变分原理中从扰动最小值点集的"大小"入手，研究了下半连续函数的可微性。

G■teaux differentiability of seminorm and completeness of seminorm space;2. It gives a new seminorm to solve the problem in motivating transient signals robust H∞control to persistent signals.

通过引入新的范数解决了瞬时信号鲁棒H∞控制理论向持续信号鲁棒H∞控制推广过程中A 半范定义的信号空间是非线性空间问题。

Using the method of analysis to study strong limit theorem proposed by professor Liu Wen, and a plying Legbesuge theoremon differentiability of monotone function, a new proof of the theorem of strong law of large numbers for the sequence of random variables of the product distribution of Poisson is forwarded.

利用文献[1]刘文教授提出的研究强极限的纯分析方法，通过构造适当的辅助函数，然后利用单调函数异数存在定理，给出具有乘积泊松分布的随机变量序列的一个强大数定理的新证明。

A strong ilmit theorem for the weighted sum of discrete random sequences is gotten by the method of net differentiability.

文摘：利用网微分法，给出了离散型随机变量序列加权和的一个极限定理。

The object function of IGM(1,1) is unable to be gained by classical optimization approaches due to its discontinuousness and non-differentiability. We design a genetic algorithm for IGM(1,1) based on its characteristics and test the algorithm with an example. The result acquired shows that the simulation precision of IGM(1,1) model is much higher than that of GM(1,1) mode

由于IGM(1，1)目标函数非连续，不可导，用传统的优化无法求解，本文针对IGM(1，1)模型的特性设计了求解该优化模型的遗传算法并进行了算例验证，求解结果表明了IGM(1，1)模型的模拟精度远高于GM(1，1)模型。

Following from the results of sensitivity analysis of standard eigenvalue problems,the differentiability of semisimple multiple eigenvalues of nonsymmetric generalized eigenvalue problems is proved,and the derivatives of semisimple multiple eigenvalues and the series expansions of the corresponding eigenvectors are obtained.

以标准特征值问题灵敏度分析的有关结论为基础，证明了单参数非对称广义特征值问题半单重特征值的可微性，给出了特征值导数的表达式和特征向量的级数展开式。以所得结论为基础，定义了广义特征值问题半单重特征值的灵敏度，给出了确定矩阵对中敏感元素的方法

Theorem 1 constructs a set of universal measure zero using continuous extension; Theorem 2 verifies absolutely continuous function being of good property under some condition; Theorem 3 reveals some relation between real function and meager.

定理1 主要运用了连续延拓构造了一个泛测度零集；定理2 证明绝对连续函数在一定条件下具有良好的性质；定理3 揭示了实函数与第一纲集的某种关系。

Continuous Improvement What Is Absolutely Necessary Before Continuous Improvement Can Occur?

在能够进行持续改进前什么工作是绝对必要的？

Pachomius manual labour was organized as an essential part of the monastic life; and since it is a principle of the monks as distinguished from the mendicants, that the body shall be self-supporting, external work of one sort or another has been an inevitable part of the life ever since.

根据圣pachomius体力劳动组织作为一个重要组成部分寺院生活；以来，这是一个原则的和尚，作为有别于乞丐，该机构应自支撑，对外工作的这种或那种已一个必然的一部分，生活至今。

In order to study the effects of parametrical rolling on the ship movement and tilts, in allusion to ship's navigating in regular following waves, the equation of ship rolling motion is transformed into normal Mathieu equation by proper variable replacement when strong parametrical excitation in restoring moment varied according to sine or cosine wave.

为研究参数横摇对船舶运动和倾覆的影响，通过对船在规则波上随浪航行时，恢复力矩中出现的1个以正余弦规律变化的强参数激励项进行适当的变量置换，将船舶的横摇运动方程转换成标准形式的Mathieu方程。