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For that experiment, the constraint, so we need a constraint here, right, we need a constraint here. Right?
对于这个实验，我们需要一个限制，对吗？,我们需要一个限制？
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So I've got a function to maximize and a constraint that must be obeyed.
一个需要得到最大值的函数,和一个需要遵守的约束条件。
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We need a constraint here.
这个限制不是恒温因为温度。
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Instead, we have a certain energy, we have certain geometric constraints, we have a certain energy constraint and these fall out.
然而，我们有确定的能量，我们有某些几何约束，我们有某些能量约束。
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Each individual reaches a decision--each individual has an income point and decides how much to consume based on the budget constraint.
在预算限制内,每个人都要决定将收入的多少,用于消费
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So where does this constraint, you may think it's a fairly minimal constraint, but where does it come from?
你可能觉得这些制约相当微小，但它从何而来呢？
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It's an invention of a barbarous age which a blind and ignorant population will accept only to its own vexation, hindrance, and constraint.
它是只有蛮荒时代愚昧无知的人们才会接受,以自寻烦恼，阻碍，和限制的。
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The constraint has to change. I've added a constraint.
必须改变约束条件。
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And now we want to find the subset of a that has the maximum value, subject to the weight constraint.
会有一个值与其对应,现在我们想要找出满足，重量约束条件的a的最大值子集。
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We kind of feel like it's going to be different because it's a different constraint.
我们猜想这两个值不同,因为两个过程的约束不同。
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The budget constraint is a straight line through this point with a slope of .
这个预算限制在这幅图上是一条,是一条经过该点并以为斜率的直线
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And a standing wave means there is a geometric constraint which is what?
驻波意味着有几何限制,几何限制又是什么？
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Now we are going to do the same thing with a different constraint.
我们来看看,另一种约束下的过程。
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There is a geometric constraint.
受到了几何限制。
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A person has a budget constraint if the person can borrow and lend at the interest rate.
在某一利率下,人都有自己的预算限制
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The budget constraint is going to have a different slope to it and preferences will be different over this horizon between consumption then and consumption now.
预算约束线的斜率会有所不同,人们对即时消费和延期消费的偏好,也会有所不同
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I mentioned earlier that we used to be on the gold standard and central banks were gold standard institutions that were trying to stabilize the economy but subject to the constraint that they had to maintain convertibility with gold but those central banks' role has changed a lot.
直至改变,我之前提到,我们过去是以金本位为基础的,并且中央银行也是以金本位为基础的机构,它们试图稳固经济,但是也在,保持金子的转换功能约束下。
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