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gradient field

网络梯度场；梯度磁场；一阶导数

gradient field

gradient field

gradient field

梯度场

数学分析中的英文单词和短语 - 豆丁网 ... 向量场 field of vetors 梯度场 gradient field 引力场 gravitational field ...

梯度磁场

一九七三年，他首先发现将受测物质予以梯度磁场（gradient field），能侦测出物体内部的二次元影像，重点在於磁场强度的大 …

一阶导数

... 相关搜索 gradient image 一阶导数 gradient field 图像分割和特征提取小例程 image segmentation and character retrieval ...

1

If you fail this test then you know for sure that you are not gradient field so you might as well do that.

如果通不过检验，那么可以肯定，它不是梯度场，你可能也会那样做。

2

It changes things quite a bit, however , when it comes to testing whether a field is a gradient field .

然而，当考虑到一个场是否是一个有势场时，它有极大的影响。

3

And, of course , it is not a coincidence because this vector field is a gradient field.

当然这并非巧合，因为这个向量场是有势场。

5

So, just to put one more time this disclaimer, if F is a gradient field then what do we have ?

再强调一遍，设 F 是梯度场，接下来，我们可以得到什么？

6

And, that's certainly false in general , but for a gradient field that works.

当然不是所有情况下这都成立，不过在梯度场里面是对的。

7

OK, so just to reinforce my warning that not every field is a gradient field , let's look again at our favorite vector field from yesterday .

好的，为了强调，不是所有场都是梯度场，我们再来看看昨天那个向量场。

8

The time varying gradient field of Magnetic Resonance Imaging(MRI) system will result in peripheral nerve stimulation on human bodies .

目的：引入一种新方法预测磁共振成像系统对人体的外周神经刺激。

9

Could it be that, by accident, that vector field was a gradient field ?

它可能恰巧是，一个梯度场吗？

11

Well, if we know that it 's a gradient field , that we've seen that we get these properties out of the fundamental theorem .

如果我们知道它是一个梯度场，就可以由基本定理，得到上面那些性质。

12

In this study, a new magnetic resonance (MR) fast imaging method in the invariant gradient field is presented .

本研究提出了恒定梯度场下磁共振快速成像的方法。

13

And that means also it 's a gradient field . It's the same thing.

这意味着，F 是个梯度场，这是一样的。

14

So , recall we've seen if F is a gradient field -- -- then its curl is zero .

回忆一下，我们知道，如果 F 是一个梯度场，那么它的旋度为零。

15

And it is a gradient field in that part of the plane and conservative and so on. The answer for now is , in general , no .

在那部分平面上，梯度场，是保守的，目前来说结论一般是不对的。

16

Say that it is a gradient field .

如果 F 是梯度场。

17

And the first such place is when we try to test whether a vector field is a gradient field.

首先是，判断一个向量场，是否是一个有势场。

18

It is a gradient field . We need three conditions .

这是一个有势场，我们需要三个条件。

19

So , if I have a gradient field , and I do the line integral, then I will get f at the endpoint minus f at the starting point .

因此，有一个梯度场，做线积分的话，结果就是 f 在终点处的值减去在起点处的值。

20

F is a gradient field. Why ?

为什么要说 F 是一个梯度场？

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