查询词典 differentiability

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数，在不要求函数的可微性及有关Lipschitz常数的条件下，给出了分量函数区间展开的斜率算术运算规则；利用函数局部凸或凹的运算特点，通过递归计算建立了多元函数区间扩张的构造方法。

W ithout assuming the boundedness, monotonicity, differentiability and Lipschitz continuity of the active functions, an algebraic criterion to ensure existence and globally exponential stability of periodic solutions was obtained.

在 放松该类神经网络激活函数的有界性、单调递增性、可微性及Lipschitz连续等条件下，得到了该类神经网络周期解的存在性与全局指数稳定的代数判据。

Then the method make every subdomains lubricous and conquer non-differentiability of the problems.2. Through introducing the continuous conditions on internal boundary, a distributed optimal control model is established.

通过区域分解及在内边界上引入连续性条件，将分片光滑分布参数系统的抛物型方程定解问题转化为一个最优控制模型。

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。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。