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In other words, if we don't have to worry about entropy or volume equilibrium is achieved when energy is at a minimum.
换句话说，如果我们不担心熵,和体积的平衡,那么能量就得是最小的。
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And if you pay attention to the smallest things while knowing what's important, then everything else takes care of itself.
如果你注意到了最小的东西,并且知道什么是重要的，那么任何其他事情都会自然而然地好起来。
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I mean, you would expect that the group one, absent hydrogen, would be the ones that would have the least.
我想，你们可能认为第一主族，没有氢，而氢应该是最小的。
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That is, you minimize potential energy and you see things falling under the force of gravity and so forthgoing to potential energy minima in conformance with this result.
换句话说，你使得势能最小化,然后发现我们关注的东西,在重力或者其他力的作用下下落,直到势能最小的地方,这和我们刚才的结果是一致的。
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Well, the reason, the way that we can check it is just to see if it's in between our two extreme 1 cases. We know that it has to be more than 1, because even if we had total shielding, 1 we would at least feel is the effective of 1.
好的我们可以检查它的原因和方式是观察,它是否在我们的两种极端案例之间,我们知道它必须大于，因为即使如果我们有完全的屏蔽，我们最小感到的有效值是。
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This portfolio, the minimum variance portfolio, is 9% oil, 27% stocks, and 64% bonds and most of the--many choices you can make.
这个最小方差的资产配置是9%的石油，27%的股票和64%的债券,而大部分。。。你可以有许多选择。
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The problem is, things that you catch here are bug actually the least worrisome bugs.
问题是，这儿你捕捉到的问题是,隐患最小的。
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And what a morpheme is is the smallest meaningful unit in a language.
语素是语言中最小的意义单位
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One is the lowest dimension.
维数最小只能是1
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This is telling GC to yell at why you as often as possible, even about the smallest things to really push you to write the best, the most secure, the most correct code possible.
这说明为什么GCC尽可能地经常地提醒你，即使是一些最小的事情，来要求你能够,编写出最好的，最稳定的，最正确的代码。
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These between B and C and E and F didn't get filled in because they were already just the smallest amount that they wanted to deal with, just half steps.
但是B和C,E和F之间并没有被填上,因为它们之间已经是最小的距离,只是个半音级,人们愿意摆弄的最小距离
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And now, what is this saying, the equilibrium state is the one with the lowest possible enthalpy.
这时，上面的结论表明,平衡态是自由焓最小的态。
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9 or . 8 7 are possible, they actually aren't possible because even if we saw a total shielding, 1 the minimum z effective we would see is 1.
。39和0。87是可能的，实际上它们是不可能的因为即使,我们看到了一个完全的屏蔽，最小的有效电荷是。
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So, for example, we were talking about a threshold frequency as in a minimum frequency of light that you need in order to eject an electron from a metal surface.
举个例子来说，我们谈论的临界频率是,光从金属表面逐出一个电子,所需的最小频率。
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The smallest charge I could put here would be 1.6 times 10 to the minus 19 coulombs.
能放在这里的最小电荷,是1。6*10^-19，库仑。
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And then there is a trend going from least massive to most massive.
有一个趋势是,从最小的到最大的。
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He chose the line so that--this is Gauss-- he chose the line to minimize the sum of squared distances of the points from the lines.
高斯选的这条线,所有点距离这条直线的平方和,是所有直线中最小的
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The element is carbon. That is the smallest unit.
那个元素是碳，是最小的单位。
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So I differentiated this object, this is my first derivative and I set it equal to 0 Now in a second I'm going to work with that, but I want to make sure i'm going to find a maximum and not a minimum, so how do I make sure I'm finding a maximum and not a minimum?
这样我就对它求出导数了,这是一阶导数,令它等于0,一会我们就要计算了,但我先确定一下是最大值还是最小值,我怎么确定是最大值还是最小值呢
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We use the term element to mean the lowest value.
我们说基本值，意味着是最小值。
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Chemically this is the smallest unit of charge.
化学上说，这是电荷的最小单位。
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If Player II chooses 0 then Player I's best response is 1, and that's as low as he ever goes.
参与人II选0时参与人I最佳对策是1,这是最小值了
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And H is minimized at equilibrium.
我们已经知道，平衡态下H是最小的。
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Great. y is smallest. OK.
太棒了，y是最小的，好。
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How far down does it have to go? It has to a - c down.
它最低能到哪里呢,最小是a-c
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And u is minimized at equilibrium.
这说明平衡状态下内能u是最小的。
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What's this thing doing? It's walking along the list looking for the smallest thing in the back end of the list, keeping track of where it came from and swapping it with that spot in the list. All right?
这是在做什么？是在遍历列表,找列表后端最小的元素,跟踪它从哪里来的,然后同当前点的元素交换，明白了么？
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OK, so R minimum, the minimum separation occurs when the energy is at its minimum.
好的，所以R处是最小值，间距最小值出现在,当能量为最小的时候。
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The minimum and the maximum is bounded.
最大最小值都是有界的。
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