认为梯度向量为零也是可以的。
So, if you prefer, that's where the gradient vector is zero.
梯度向量应该垂直于等值线。
The gradient vector would be going perpendicular to the level.
现在，梯度向量是什么呢？
所以，梯度向量是垂直的。
指向和梯度向量相反。
当在最小值点的时候，两个梯度向量就垂直了。
When I am at a minimum, the two gradient vectors are parallel.
我们说，当一个二元函数存在时，就有梯度向量。
So, we said when we have a function of two variables, we have the gradient vector.
也就是说f的梯度向量,应该与g的水平集垂直。
That means that the gradient of f is perpendicular to the level set of g.
所以梯度向量垂直于,很好，这是一个很好的开始。
v So -- So if the gradient vector is perpendicular to v OK, that's a good start.
我们也知道了，如何将各个偏导组合成一个梯度向量。
And we have learned how to package partial derivatives into a vector, the gradient vector.
法向量就是梯度向量。
确定一点，那么对我来说，这点的梯度向量就是确定的。
If I fix a point, then the gradient vector at that point is given to me.
梯度向量的垂直方向，为什么是这样而不是另外一个方向？
Does the gradient vector, why is the gradient vector perpendicular in one direction rather than the other?
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 gradient is the direction in which the function increases the most quickly at that point.
那意味着，梯度向量在这点上，垂直于切平面或者是等值面。
Well, that means the gradient is actually perpendicular to the tangent plane or to the surface at this point.
本文提出一种新的基于梯度向量角的镜头边界检测方法。
This paper proposed a novel shot boundary detection method based on the gradient Angle.
可以把这些用向量形式重新写下来，就是梯度向量和位置改变量的点积。
And I can rewrite this in vector form as the gradient dot product the amount by which the position vector has changed.
并根据电力系统的特点对该公式进行了简化，得到准梯度向量公式。
After simplifying the gradient vector formula THC quasi-gradient vector formula is inferred according to the feature of power systems.
因为这里，梯度向量就是，如果还有一个变量,那就还有一个等式fz等于λ乘以。
Because the gradient vectors here are f sub x, z If you have a third variable z gz then you have also an equation f sub z equals lambda g sub z.
研究了基于莫尔斯理论的离散梯度向量域方法，并将其应用于拓扑可视化。
The discrete gradient vector filed based on the Morse theory is presented, and is applied to visualization of topologies.
最好的方法是，既然我们已经有了梯度向量，就可以直接说,我们知道了切平面的法向量。
OK, the best way to it, now that we have the gradient vector, is actually to directly say oh, we know the normal vector to this plane.
也就是说，如果朝该方向运动，函数值变动得最剧烈，那么相应的斜率就是梯度向量的模长。
OK, so if I go in that direction, which gives me the fastest increase, then the corresponding slope will be the length of the gradient.
根据人脸图像的边缘梯度图提出了一种新的基于梯度向量流场的眼睛特征提取方法。
According to features of edge gradient maps of face images, a new eye feature extraction algorithm based on gradient vector flow field was proposed.
最后采用基于迭代的方法，重新估计所有块梯度向量并将梯度向量场转化为方向场。
This new method mainly comprises three steps: firstly, normalize the point-gradient vectors and calculate the block-gradient vectors and the corresponding block-coherence;
所以今天我们的新定义，就是梯度向量，目的就是更好的理解这一定义，这个向量的含义是什么？
OK, so the new definition for today is the definition of the gradient vector. And, our goal will be to understand a bit better what does this vector mean?
并用算例用基于准梯度向量的准梯度法、准共轭梯度法和变尺度法求解有功优化潮流。
The optimal real power flow is computed on the basis of the quasi-gradient vector by means of gradient method, conjugate gradient method and DPF method.
我们知道梯度向量垂直于这个向量，而速度向量是相切于等值面的，其他相切于等值面的向量，又如何呢？
We know that the gradient is perpendicular to this vector that's tangent to the level surface What about other vectors tangent to the level surface?
读写改造过的梯度矢量和其分量和梯度一样的方式，你可以通过加rg的下标在你的宏中来得到梯度向量和其分量。
In the same way as the gradient, you can add the RG su_x to your macro to access the reconstruction gradient (RG) vector and components of a variable quantity.
用黄色画出g的梯度向量，然后你看，一般情况下，这两个梯度向量都不平行的,事实上，我不应该这样随便找个点画给你们看。
The gradient of g in yellow. And you see, in most of these places, somehow the two gradients are not really parallel. Actually, I should not be looking at random points.
用黄色画出g的梯度向量，然后你看，一般情况下，这两个梯度向量都不平行的,事实上，我不应该这样随便找个点画给你们看。
The gradient of g in yellow. And you see, in most of these places, somehow the two gradients are not really parallel. Actually, I should not be looking at random points.
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