There's also specialized coordinate systems, all different kinds of 'em.

还有专门的坐所有各种各样的。

Adam asked, what is the coordinate system used in orbits?

亚当问轨道中使用的坐是什么？

So in addition to identifying those planes, we make sure that the coordinate system is accurate.

所以除了识别平面，我们还要保证坐是精确的。

I was thinking it might be some sort of interstellar coordinate system, maybe an updated version of Hubble's law.

我猜可能是某种星际坐，或许是哈勃定律的升级版。

So it's almost kind of like a coordinate system, if you will.

如果的话，它几有点像坐。

Let's use the familiar Cartesian coordinate system with its x and y axes.

让我们使用熟悉的笛卡尔坐及其 x 轴和 y 轴。

And we have a coordinate system associated with that to, you know, let us know locations and how the station is moving.

我们有一个与之相关的坐，知道，让我们知道位置以及空间站如何移动。

Any way, to translate between vectors and sets of numbers is called a coordinate system.

无论如何 在向量和数集之间转换称为坐。

No matter which way you face, or what coordinate system you place over the camp ground, the vector doesn't change.

无论您面向哪个方向，或者在营地上放置什么坐，矢量都不会改变。

You can think of these two special vectors as encapsulating all of the implicit assumptions of our coordinate system.

可以把这两个特殊的向量看作是坐中所有隐含假设的集合。

And the two special vectors I had and j hat are called the basis vectors of our standard coordinate system.

这两个特殊的向量和j帽叫做准坐的基向量。

A pretty natural question to ask is how we translate between coordinate systems.

一个很自然的问题是我们如何在坐之间转换。

So we can actually compute negative one times be one, plus two times B two, as they represented in our coordinate system.

所以我们实际上可以计算-1乘以1 加上2乘以b2 就像它们在坐中表示的那样。

So that, in a nutshell, is how to translate the description of individual vectors back and forth between coordinate systems.

简单地说 就是如何在坐之间来回转换单个向量的描述。

Vectors, core topics in linear algebra, like determinants and eigenvectors, seem indifferent to your choice of coordinate systems.

向量 线性代数的核心主题 像行列式和特征向量 似与选择的坐无关。

If, E.G., jennifer describes a vector with coordinates negative one, two, what would that be in our coordinate system?

例如 jennifer描述了一个坐为-1 2的向量 它在我们的坐中是什么？

This is because it represents working in a coordinate system, where what happens to the basis vectors is that they get scaled during the transformation.

这是因为它表示在一个坐中工作 基向量在变换过程中会缩放。

This is something I'll go into much more detail on later, describing the exact relationship between different coordinate systems.

这是我稍后会详细讲的内容 描述不同坐之间的确切关。

Together they're called the basis of a coordinate system.

它们一起被称为坐的基。

We could have chosen different basis vectors and gotten a completely reasonable new coordinate system.

我们可以选择不同的基向量得到一个完全合理的新坐。