Some numerical examples are also given by assuming an exponential gradient function.
对弹性模量按指数函数梯度变化的算例进行了分析。
The control strategy for surface temperature of the core rod is investigated and the scheme of introducing advanced compensation on the quantity of inlet water by gradient function is stated.
对芯棒表面温度的控制策略进行初步探讨，提出引入梯度函数对进水量提前补偿修正的方案。
What is the gradient of this function?
这个函数的梯度是什么？
Well, so, what's the gradient of this function?
那么，这一函数的梯度是什么？
But they won't be the level curves of a function for which this is the gradient.
但它们不一定是，某个以该向量场为梯度的函数的等值线。
Say that f, our vector field is actually the gradient of some function.
也就是向量场f实际上是一个函数的梯度。
So, we said when we have a function of two variables, we have the gradient vector.
我们说，当一个二元函数存在时，就有梯度向量。
I mean we'd seen in last time, but the gradient is perpendicular to the level and points towards higher values of a function.
我的意思是，上一次我们讨论过了，这个梯度是垂直于等高线，并且是指向方程增长的方向的。
The question is how do we find the function which has this as gradient?
问题是怎么找出梯度是这个的函数？
So, if the gradient of a function is a vector, the divergence of a vector field is a function.
如果说函数的梯度是向量，那么向量场的散度就是函数。
It tells you, if you take the line integral of the gradient of a function, what you get back is the function.
它说，如果你对一个函数的梯度做线积分，就能得到原函数。
Well, you take the gradient of a function.
作出一个函数的梯度。
Well, actually here it is not very hard to find a function whose gradient is this vector field.
实际上，找出一个函数，其梯度是这个向量场并不难。
Well, if I have a gradient field, then if I try to compute this line integral, I know it will be the value of the function at the end point minus the value at the starting point.
如果有一个梯度场，然后想计算线积分，我知道积分值是,起点的函数值减去终点的函数值。
You know it's a gradient, f and you know the function, little f.
如果知道一个梯度，相应地就有一个函数。
So, actually on Tuesday we'll see how to decide whether a vector field is a gradient or not, and if it is a gradient, how to find the potential function.
周二我们就知道，怎样确定一个场是不是梯度，如果确实是梯度的话，怎样算出势函数。
The gradient is the direction in which the function increases the most quickly at that point.
梯度向量方向是,在给定点处指向函数增加得最快的方向。
The second shear strain gradient and the function reflecting the effect of strain rate are introduced into the yield function of classical elastoplastic theory.
在经典弹-塑性理论的屈服函数中引入应变梯度及考虑应变率效应的函数。
One kind of alternant gradient algorithm for improving the training of Radial Basis Function (RBF) neural network is proposed.
提出一种交替梯度算法，对径向基函数(RBF)神经网络的训练进行改进。
The speed function defined in Level set method can be divided into two classes: function based on the gradient of image and function based on the image gray.
水平集方法的速度函数定义根据所利用的图像信息可以分为两大类：基于图像梯度和基于图像灰度信息。
Through studying the historical background of the focus detection and principles of optical imaging, the auto focusing system adopts image gradient as the auto focusing evaluation function.
从焦点检测的历史背景出发，结合光学的成像原理，提出了以图像梯度为对焦评价函数的自动调焦技术。
An edge detecting method for digital image is proposed using direction information of the gradient to thin off the differential image and defining a measuring function to link the edge points.
本文提出了一种利用梯度的方向信息，对微分图象进行细化，并确定一测量函数进行边缘点连接，以实现图象边缘检测的方法。
Numerical results show that we choose a suitable initial adaptive trust region radius at each iteration so as to reduce the number of iterations, function and gradient evaluations.
数值试验结果表明，我们改进后的信赖域半径使算法在迭代过程中十分有效，不但减少了迭代次数还减少了函数和梯度的赋值。
This article makes use of variable gradient method and structure Lyapunov Function to solve a kind of global asymptotic stability for solutions of non-linear system of the second order.
用变量梯度法构造李雅普·诺夫函数，解决一类二阶非线性系统解的全局渐近稳定性问题。
A new adaptive blind source separation algorithm of non-stationary signals was presented by using natural gradient rule and time-correlation property of the source signals acting on a cost function.
基于自然梯度原则并利用信号的时间相关属性对一类代价函数进行推导，获得一种新的非平稳信号自适应盲分离算法。
In this paper, we prove a theorem on the convergence of the gradient of K-S function to the subdifferential of corresponding maximum function.
本文证明了一条关于K - S函数的梯度收敛于相应的极大值由数的次微分的定理。
An online block algorithm for frequency domain blind deconvolution was proposed based on the complete mutual information gradient and the properties of the score function difference (SFD).
基于完全互信息梯度表达式及得分函数差分的性质，提出一种在线频域盲解卷积块算法。
Gauss interpolation realized the fine focusing nearby the peak of focusing curve based on the gradient energy function.
利用梯度平方函数高斯插值实现在峰值附近的精确调焦。
The objective function was established based on the maximum likelihood rule, which was solved by nonlinear conjugate gradient method.
该方法利用最大似然准则建立目标函数，同时利用非线性共轭梯度法来优化求解目标函数。
The hierarchical identification principle is stated, and the hierarchical stochastic gradient (HSG) algorithm for the transfer function matrix (TFM) model for multivariable systems is presented.
阐述了递阶辨识原理，提出了传递函数阵模型参数的递阶随机梯度(hsg)辨识方法。
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