Let's say that you are in a movie theater and you have forgotten your sweater or jacket.
假设你在电影院，你忘记带上你的毛衣或外套。
Let's say that you have a really good relationship with your mom and you rarely ever fight.
我们假设你跟你母亲关系特别好，很少有口角。
我们姑且认为你是正确的。
Now let's say that we were in space.
现在假设在空间中。
Now, let's say that I know how to do that.
现在知道怎么做了。
And let's say that it is of uniform density.
它的密度是常数。
Let's say that I have — It is a close cousin.
假设我们已知——这是一个相近的题型。
Let's say that my circle is not at the origin.
假设圆心不是在原点。
Well, let's say that I have a curve like that.
假设有这么一条曲线。
C So, let's say that I have a curve, c, in space.
假设有一条在空间中的曲线。
Let's say that my surface is just a slanted plane.
比如说我们的曲面就是一个倾斜的平面。
Why is that? Well, let's say that f sub x is zero.
为什么呢？我们令fx为。
Let's say that our vector field has two components.
假设我们的向量场有两个分量。
A For example, let's say that this will be point a.
比如说，这是点。
Let's say that you have just got fired from your job.
让我们来假设你刚被解雇了。
But now, let's say that I have a general vector field.
但是现在，假设有一个一般向量场。
Let's say that the bear has come to our neighbourhood!
我们说熊已经来到了我们家的附近！
Let's say that we have twelve iterations worth of data.
让我们假定我们有12个迭代数据值。
Let's say that my vector field has components p, Q and r.
假定我的向量场。
Let's say that I take some path that starts at the origin.
比方说取从原点开始的路径。
Let's say that actually I do want to keep the right Angle.
假设，我想保留这个直角。
Let's say that I gave you this curve bounding this surface.
给你这个曲面和这个曲线作为它的边。
Let's say that you are a writer who wants to finish a book.
比如说你是一个要完成一本书的作者。
Let's say that we had the same c, but now the vector field.
假设c还是一样的，但现在的向量场变为。
Well, let's say that I know the value of my potential here.
假设我们知道这里的势。
Let's say that a particular family has an account at my ISP.
假设有一个特殊家庭在我的ISP拥有帐户。
So let's say that our R&D department is developing a new drug.
所以我们可以认为我们的R&D部门在开发一种新的药物。
Now let's say that we're into polymers. We know what plastic is.
现在假设我们知道聚合物，我们就知道塑料是什么。
OK, so let's say that we have a slightly more complicated function.
下面研究一个稍微复杂的函数。
Let's say that I am going to do it with the normal pointing upwards.
比方说我打算让它法向量指向向上。
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