They can make two dimensional forms as sheets, or three dimensional crystals.

它们能形成片状的结构，或晶体。

So this isn't too different from the two dimensional problem so far.

目前与问题还是有联系的。

This is a two dimensional look at a storm on radar, but meteorologists see a tornado.

这是雷达上显示的风暴图像，但在气象学家眼中，这是一场龙卷风。

A right triangle is a two dimensional figure with three side, two of which are perpendicular.

直形是具有条边的图形，其中两条是垂直的。

A circle is a two dimensional figure with a radius and a circumference which is the distance around the circle.

圆是具有半径和圆周的图形，圆周是围绕圆的离。

The team dropped the temperature even farther, and the magnetic wave lost its third dimension, separating into individual two dimensional planes.

科学家团队将温度降得更低，磁波于是失去了它的第度，分离成了两个独特的面。

What are vectors? Is a two dimensional vector, e.g.

什么是向量 是一个向量 例如。

How did it all become so two dimensional, so simplistic and devoid of character?

这一切是如何变得如此、如此简单和缺乏个性的？

But that vector you had is a two dimensional vector living in the input space.

但是这个向量是一个的向量 存在于输入空间中。

The answer is that you can reach every possible two dimensional vector.

答案是你可以到达所有可能的向量。

Likewise, to think about all possible two dimensional vectors all at once.

同样地 同时考虑所有可能的向量。

(saw cutting) One of the challenges is to make it really thin because ideally it should just be two dimensional.

（锯切）挑战之一是使其变得非常薄，因为理想情况下它应该只是的。

Every two dimensional vector is within your grasp.

每一个向量都在你的掌握之中。

Two dimensional things get walked up the panels, like paper, plastic bags, when three dimensional things, like bottles and cans, get rolled down the panels.

如纸、塑料袋等的物体通过面板, 而像瓶子和罐子等的物体则向下通过。

Which two dimensional vectors can you reach by altering the choices of scalers?

通过改变标量的选择可以得到哪些向量？

This means the matrix A is a two by two matrix, and V and X are each two dimensional vectors.

这意味着矩阵A是一个2×2矩阵 V和X都是向量。

There are so many things you can think of that round out the character and the personality, so the superhero isn't just one or two dimensional.

你能想到的事情太多了，这些事情让超级英雄色和性格更加完整，所以超级英雄不仅仅是一或的。

So for a span example, the span of most pairs of vectors ends up being the entire infinite sheet of two dimensional space.

对于张成空间的例子 大多数向量对张成的空间最终是整个空间的无限面。

Let's run this, as you can see this returns a two dimensional array, this square bracket indicates the outer array and a second one represents an inner array.

让我们运行它，如您所见，它返回一个数组，这个方括号表示外部数组，第个方括号表示内部数组。

Easier to think about rotations performing This matrix multiplication numerically is, once again, pretty similar to the two dimensional case.

更容易考虑旋转执行这个矩阵乘法的数值运算 再一次 和情况很相似。