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

还有专门坐标系所有各种各样。

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

亚当问轨道中使用坐标系是什么？

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

所以除了识别平面，我们还要保证坐标系是精确。

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标系，或许是哈勃定律升级版。

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

如果你愿意话，它几有点像坐标系。

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

让我们使用熟悉笛卡尔坐标系及其 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.

我们有一个关坐标系，你知道，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 在向量和数集间转换称为坐标系。

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标系，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.

你可以把这两个特殊向量看作是坐标系中所有隐含假设集合。

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

这两个特殊向量和j帽叫做标准坐标系基向量。

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

一个很自然问题是我们如何在坐标系间转换。

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 就像它们在坐标系中表示那样。

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

简单地说 就是如何在坐标系间来回转换单个向量描述。

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

向量 线性代数核心主题 像行列式和特征向量 似你选择坐标系无关。

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

例如 jennifer描述了一个坐标为-1 2向量 它在我们坐标系中是什么？

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标系中工作 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内容 描述不同坐标系间确切关系。

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

它们一起被称为坐标系基。

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

我们可以选择不同基向量得到一个完全合理新坐标系。