查询词典 differentiable function

The investigations in this thesis focus on several aspects as follows: We investigate the method that how to produce permutation matrix by using chaotic map, and get the method of image permutation based on chaotic map. This method can make original image to unorderly image to protect the true content of image. We investigate gray level mix function, and put forward a gray level mix function based on chaotic map. Because this function has chaotic characteristics, the image dealed with this function has very uniform histogram. Aiming at the contradiction between error robust and security on image encryption, we put forward a kind of gray level mix function including diffusion mechanism.

本文的研究工作主要集中在以下几方面：研究了如何利用混沌映射产生置乱矩阵的方法，给出了基于混沌的数字图像置乱方法，该方法能够将原始图像变成面目全非的杂乱图像，从而保护了数字图像的真实内容；研究了灰级混合函数，提出了基于混沌的灰级混合函数，由于该函数具有混沌特性，所以经过该函数处理后的图像具有非常均衡的灰级直方图；针对图像加密的错误鲁棒性与安全性之间的矛盾，提出了一种含有扩散机制的灰级混合函数。

Considering the actual surroundings and the characteristics of internal audit in our country,the supervising and examining function,certificating and appraising function,controlling function,risk early-warned function and counseling function should be as the mostly functions of internal audit.

就我国目前的环境和我国内部审计的特点来看，监督检查职能、鉴证评价职能、控制职能、风险预警职能和咨询服务职能应该是内部审计的主要职能。

The automatic meter readingsystem should have the functions: the data acquisition function, the set up parameters, the control to system, the advanced charge system and the protectionfunction; Below latter should realize the function: The data acquisition, the electric quantity initialization function, opening machine and closing machine function and power failure protection function.

计量方式选择多用户自动远传抄表系统和单项智能电表远传抄表系统，多用户自动远传抄表系统应具有如下功能：数据采集、参数设置、系统控制功能、系统预付费功能和保护功能；单项智能电表远传抄表系统应实现以下功能：数据采集、电量预置功能，开关机功能和掉电保护功能。

Radial basis function coupled with a polynomial basis function was used as a trail function, and a Heaviside function was used as a test function of the weighted residual method.

这种无网格方法采用径向基函数耦合多项式基函数来近似试函数，采用Heaviside函数作为加权残值法中的权函数。

First the associated Hamilton-Jacobi-Bellman equation is given, then its continuously differentiable solution is constructed.

首先给出了最优控制问题对应的Hamilton_Jacobi_Bellman方程，接着构造出了它的连续可微解。

Based on Cantor series expressions of real number,we constructa wide class of nowhere differentiable continuous functions.

其次，讨论了这类函数的几何特性，给出了它们几何对称的一个判别条件。

If is continuous on the closed interval and differentiable on the open interval, then there is at least one number in where

在闭区间上连续；(2)在开区间内可导

Chaikin algorithm is the simplest discrete curve modeling method.In thepaper planar Chaikin algorithm is generalized into sphere,and the practicability ofthe algorithm as well as the continuous differentiable property of the generatingcurve is proved.It is shown that the curve generated by Chaikin algorithm is apiecewise spherical Bezier curve of second kind of order two.Furthermore,generalspherical corner-cutting algorithms are discussed,and it is pointed out that thecurve generated through corner-cutting has"Spherical Variation DiminishingProperty".3Curve interpolation method restricted on a smooth surface based ontransformation.

Chaikin算法是最简单的离散曲线造型方法，文中将Chaikin算法推广到球面，证明了算法的可行性和生成曲线的连续可微性，指出球面Chaikin算法得到的曲线是分段的二次第二类球面Bezier曲线，并给出了用球面Chaikin算法构造球面插值曲线的算法；进一步，文中讨论了一般的球面割角算法，指出由球面割角算法得到的曲线具有"球面变差缩减性质"。3基于变换的约束在光滑曲面上的曲线插值方法。

When propagating light\|ray passes through two fixed points in the gradient index mediums and a cuspidal variable\|point （at this point the trace equation of propagating light\|ray is non\|differentiable） at the borderline of two different GRIN mediums, the mathematical relationship, which the trace equation of propagating light\|ray and borderline equation of two different GRIN mediums should satisfy, is derived by the Fermat's principle and calculus of variation.

当光线通过梯度折射率介质中两个固定点和两个GRIN介质界线上的可动尖点（光线轨迹方程的不可微点）时，由费马原理和变分法运算推得传输光线的轨迹方程与两种不同GRIN介质的界线方程应满足的微分关系式。

Improtant reasons are that fuzzy logic is not differentiable and the effective neural network needs differentiability.

其根本的原因是普通模糊逻辑是不可微的，而最有效的神经网络却要求可微性。

We got alerted a couple of times while we were down south that HETs were on the way to bring us back up north because things were going to go hot again, but it was just rumors.

南下的途中我们不只一次得到警告说重型装备运输车将拉着我们重新北上，因为局势正在变得重新紧张起来，但这只是谣传。

It's the one where they find the ghost in the salt mine.

这一集是演他们在盐矿找到鬼