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"It will hit so much of these small-caliber rockets and 'misslets,' that it will change the equation for the other side."
VOA: standard.2010.07.20
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All right. So jumping in to having established that, yes, particles have wave-like behavior, even though no, hey're not actually photons, we can't use that equation.
好的，我们已经承认了，粒子有波动性，虽然它们不是光子，我们不能用这个方程。
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You can go ahead and use that equation, or you could figure it out every time, because if you know the total number of nodes, and you know the angular node number, then you know how many nodes you're going to have left.
你们可以直接用这个方程，或者每次都自己算出来，因为如果你们知道了总的节点数，又知道角向节点数，就知道剩下的节点数是多少。
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And the beauty of that equation of state is that it only relies on two parameters.
范德瓦尔斯方程,先把结果写出来。
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And so a person is just a P-functioning body, whether you emphasize the body side there or the personality side of that equation.
人就是有着人格功能的肉体，无论强调人格部分还是肉体部分。
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You realize it's very subtle, because the very first thing in that equation, which is m, has not yet been defined.
你会觉得这很微妙,因为方程里最基本的量 也就是 m,还没有人给它下定义
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And the mathematics of that equation involved a double derivative in time of x 0 plus some constant times x equals zero with some constraints on it.
那个数学方程式,包括了x对时间的二阶导数,加上常数乘以x等于,还有一些限制条件。
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What this equation merely says is that the present value of your remaining payments is always equal to the mortgage balance.
这个等式说明了,剩余偿还额的现值,就等于抵押贷款的余额
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Good, so what I have here is an equation that tells me Player 1's best response for each possible choice of Player 2.
这个方程表示,参与人2不同策略下参与人1的最佳对策
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You'd pull out your pencil and paper, you can do it as a matrix inversion if you know how to do that, or you can just simply do substitution of one equation into another to solve it.
你知道你在小学的时候是怎么做的对吧？,你拿出你的笔和纸,如果你会的话,你可以解一个方程组,或者你可以单纯地。
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So it's important to write out the equation you use, you need to write out the constants that you use to fill in that equation.
因此重要的是写出你所用的公式，你需写出,你用在公式中的常数。
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So, hopefully that kind of clears up that question. And, of course, when the velocity actually is zero, this equation that the de Broglie has put forth is valid for anything that has momentum, so if something does not have any velocity at all, it actually does not have momentum, so you can't apply that equation anyway.
能回答你的问题，当然，如果速度真的是零的话,德布罗意提出的这个方程,只对有动量的物体成立,所以如果一个东西没有速度，它没有动量，也就不能应用这个方程。
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OK, in a few weeks, you're going to find out that we can calculate dH/dp from this equation of state, and you're going to find p out that dH/dp from that equation of state b-a/RT is proportional to b minus a over RT.
好，在接下来几个星期里,你们将知道从这个状态方程,可以计算出偏H偏p，并且你们会发现,从这个状态方程得到的偏H偏,正比于。
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Suppose f of x, y, z equals k1, that is my equation, s1 and it gives me a solution s1.
假设我的方程是这样，然后给出了一个解。
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For example, F x y z if I have an equation that looks like this, f of x, y, z.
打个比方，我有个这样的方程。
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So let's take our one model that we keep going back to Equation of state, and just see how it works.
我们回到经常使用的理想气体模型,或者说状态方程。
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For real gases, there's a whole bunch of equation the states that you can find in textbooks, and I'm just going to go through a few of them.
这是理想气体的状态方程,对实际气体,你可以在教科书里，找到许多描述它们的,状态方程。
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And when you solved the relativistic form of the Schrodinger equation, what you end up with is that you can have two possible values for the magnetic spin quantum number.
当你们解相对论形式的,薛定谔方程，你们最后会得到两个,可能的自旋磁量子数的值。
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The advantage of introducing that guy is that if you like, I can now write an equation for the acceleration as a vector.
引入它的好处是,如果你愿意的话,我可以把加速度写成矢量形式
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I'm sorry, I don't understand since the left hand side of your equation does not equal the right hand side, isn't that discount, not price?
对不起,我不太理解,这里等式左边和等式右边,并不相等,这里应该是折扣率而非价格
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Just one strategy for each player and that strategy was given by this equation.
每个参与人只有一个策略,而那个策略是这个方程的解
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What is y-y0? The final y is 0, the initial y is 15. You solve for that equation and you will find the final velocity.
-y0是什么,末态的y是0,初态的y是15 你们已经得到,然后你可以找到最终速度
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The electronic configuration, all it is is the shorthand notation for that one electron approximation for the Schrodinger equation for lithium.
电子构型就是，对于锂的薛定谔方程,的单电子近似的,简化形式。
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And, if we do so, we can actually get a handle on that Born exponent by solving the equation.
如果我们这样做，我们实际上能够得到波恩指数,通过解这个方程得到。
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All right, so that's what we're going to cover in terms of the energy portion of the Schrodinger equation.
好，这就是我们要讲的,关于薛定谔方程能量的部分。
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You get a set of solutions that are dependent upon -These quantum states fall out of the solution to this equation.
你得到一系列的解,这些解依赖于量子状态,和方程解不相干的解。
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Also, when we're looking at the Schrodinger equation, it allows us to explain a stable hydrogen atom, which is something that classical mechanics did not allow us to do.
当我们看一个薛定谔方程的时候，它给出一个稳定的氢原子,这是在经典力学中做不到的。
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But luckily for us, there's a classical equation of motion that will, in fact, describe how the electron and nucleus change position or change their radius as a function of time.
但幸运的是，有一个,经典方程描述了电子和核子,位置或者它们直接的距离是,如何随时间变化的。
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Linear equation means that solutions are additive.
线性方程的结果是可加的。
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And it turns out that the Schrodinger equation is an equation of motion in which you're describing a particle by describing it as a wave.
结果是薛定谔方程,用描述粒子波动性的方式,来描述这个粒子。
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