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旋度

n.rotation; curl; vorticity
网络circulation; curl mathematics; chirality

旋度

英-汉网络释义

旋度

n.

1.rotation

2.curl

3.vorticity

4.circulation

5.rotor

1

In both cases , these things tell you that you can think of curl as measuring how much the field fails to be conservative .

两种情况下，都可以认为旋度，度量了该向量场偏离 “保守性 ”的程度。

2

And the curl of a velocity field tells you how fast it is spinning at any given time up to a factor of two .

速度场的旋度告诉你，它旋转速度有多快，只是以两倍显示。

3

We are going to see curl in space in two or three weeks . Yes?

两三周后我们会讲到空间上的旋度？

4

I mean, we said for curl , curl measures how much things are rotating somehow. What does divergence mean?

我们知道旋度是度量旋转的，那散度表示什么？

5

If you have a small solid somewhere , the curl will just measure how much your solid starts spinning if you leave it in this force field .

假如力场中某处有一小块固体，旋度度量的是固体在力场中的旋转程度，在力场里来观察。

6

Here is the statement . The curl is just going to measure how much your vector field fails to be conservative.

下面是定理的表述，旋度是用来，度量向量场保守性的。

7

But the intuition you should have is it measures how much rotation is taking place at any given point .

但应该直观地看出，在给定点，旋度表示出来的旋转有多少。

8

Curl will be for next week . Just getting you used to the notation , especially since you might be using it in physics already.

旋度是下周的内容，你们习惯这个记号就行了，你们可能已经在物理课上用到过了。

9

And when I say that the curl measures the rotation in a motion , well, that depends on which coordinates you use.

而旋度度量了，运动中的旋转情况，这跟坐标系的选择有关。

10

One of them is what curl says about force fields and, in particular, a nice consequence of that concerning gravitational attraction .

其中之一是从旋度的角度，来观察力场，一个关于万有引力的漂亮的结论。

11

And so now, remember , curl of a vector field in space is going to be another vector expression. It has three components .

记住，空间中向量场的旋度，是另一个向量，它有三个分量。

12

It says if the curl of F equals zero in, sorry , and F is defined -- No, is not the logical in which to say it.

如果 F 的旋度为零 ——，抱歉，如果 F 被定义为 ——不，这么说不合逻辑。

13

And if the curl is zero then it means that this force does not generate any rotation effects .

如果旋度是 0 ，就意味着，这个力不产生旋转作用。

14

And the curl of a force field tells you how quickly the angular velocity is going to increase or decrease . OK.

力场的旋度告诉你，角速度增加或减小的快慢。

15

Maxwell's equations actually tell you about div and curl of these fields .

实际上，Maxwell 方程组，描述了这两个场的旋度和散度。

16

It's going to become very handy pretty soon because we are going to see curl .

不过很快就会变得十分便利的，因为我们很快就会学到旋度。

18

And the last one tells you how the curl of the magnetic field is caused by motion of charged particles.

最后一个说明了，磁场的旋度，是如何由电荷的运动产生的。

20

The curl was invented to help describe the properties of moving fluids .

创造旋度一词为了有助于描述运动流体的性质。

21

And that would be fortunate because if a curl is zero then your field is less conservative .

真是十分幸运啊，因为如果旋度是 0 ，那么场至少是保守的。

22

So researching the exact controllability of wave equation is quite useful.

本文章研究了具有旋度控制的线性梁方程的精确可控性。

23

And, of course the curl is zero, well, except at the origin .

当然，除了原点处，旋度是。

25

The curl of a vector field in space is actually a vector field , not a scalar function . I have delayed the inevitable.

空间中的向量场的旋度，是一个向量场，而不是一个标量函数，我必须告诉你们。

26

And then you know that the line integral inside will be equal to 0 the double integral of curl , which is the double integral of zero.

你就会知道内部的线积分等于，旋度的二重积分，即是。

27

the curl of a force field measures the torque per unit moment of inertia .

力场的旋度是，描述扭转力矩与转动惯量比值的量。

28

The thing to check is whether the curl of our vector field is zero .

验证的方法是向量场旋度为零。

29

The question is what does the curl of a force field mean ?

问题是一个力场的旋度代表什么？

30

The curl measures the rotation component of a motion .

旋度衡量的是运动的旋转部分。

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