All around. If you plug in the numbers, you will end up with an uncertainty 15% in the momentum as being on the order of 15%.

所有，如果你把数字都加起来，你将得到一个关于动量的不确定度,约为。

麻省理工公开课 - 固态化学导论课程节选

A 100% uncertainty in the position 15% gives rise to a 15% uncertainty in velocity.

从完全不确定的位置,到速度的不确定度为。

麻省理工公开课 - 固态化学导论课程节选

This is the plus or minus, so the product of the uncertainty and the momentum.

是加或减，所以不确定度和动量的结果。

麻省理工公开课 - 固态化学导论课程节选

When the uncertainty gets that big, you don't know which came first.

当不确定度到那么大的数值时，你不知道谁是第一个到达的。

麻省理工公开课 - 固态化学导论课程节选

And since we are not expecting the mass of the particle to change, what we really are saying is the uncertainty in its velocity times the uncertainty in its position is greater than the ratio of the Planck constant divided by 2 pi.

因为我们不期望,粒子质量发生变化，我们说的是,它速度的不确定度,乘以它位置的不确定度,比普朗克常量,除以2除以圆周率要大。

麻省理工公开课 - 固态化学导论课程节选

And to just give you a sense of what this is, the analytical expression that Heisenberg gave in one of its forms is that the uncertainty in the momentum a particle times the uncertainty in its position, this is the uncertainty.

给你说明一下什么是，分析的表述方式,海森堡给出的按照它的其中一种形式,那就是,粒子动量的不确定度乘以,位置的不确定度，这是不确定关系。

麻省理工公开课 - 固态化学导论课程节选

And so I went through the math on this and said suppose I wanted to be really sloppy and I wanted to say if the delta X, the uncertainty in position is on the order of one angstrom.

我算完它,并说假如我想很草率,并且我想说如果x的增量，即位置的不确定度,相当于一埃。

麻省理工公开课 - 固态化学导论课程节选