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It is indicated by experimention that the outcome of this algorithm is very efficient,especially in those problem who fulfil triangle inequation.

验表明,此类算法求解的近似度很高,其是在满足三角不等式的问题中,误

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耶鲁大学公开课:博弈论

It's because if you look at those inequalities, it's monotone.

为如果你审视那些不等,它们单调的。

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耶鲁大学公开课:博弈论

So once you cross this inequality, you can't go back.

此,一旦你跨越了不等,就无法回头。

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可汗学院:统计学(视频版)

But we can operate on all of them at the same time, this entire inequality.

但我们能够同时对所有些进行操作,即整个不等

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耶鲁大学公开课:博弈论

I've just added something to both sides of an inequality.

我刚刚在不等的两边都加上了一些东西。

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高等数学之美

Well, he and I just made a video on a certain quantum mechanical topic - " Bell's inequalities" .

好吧,他和我刚刚做了一个关于某个量子力学主题的视频——“贝尔不等”。

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可汗学院:统计学(视频版)

So what we want to do is multiply this entire inequality by this value right over here.

此,我们希望整个不等乘以个值。

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可汗学院:统计学(视频版)

Just be clear, I'm just multiplying all three sides of this inequality by this number right over here.

为了清楚起见,我只不等的三边都乘以了里的个数。

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可汗学院:统计学(视频版)

So what I'm going to do is multiply this entire inequality by negative 1.

此,我打算不等的两边同时乘以负1。

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耶鲁大学公开课:博弈论

So, in here, the inequality is met: the sum is bigger than 1; and out here it's less than 1.

此,在里,不等得到满足:总和大于 1;而在里它小于 1。

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可汗学院:统计学(视频版)

Have this inequality expressed in terms of mu.

不等用μ表示。

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可汗学院:统计学(视频版)

But since we are multiplying an inequality by a negative number you have to swap the inequality sign.

但由于我们不等两边乘以一个负数,你必须调换不等的符号。

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可汗学院:统计学(视频版)

And then we still have our inequalities-- is going to be less than 17.17 minus the mean, which is less than 2.13.

然后我们仍然有不等——它小于17.17减去平均值,又小于2.13。

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耶鲁大学公开课:博弈论

So at the beginning of the game, when people are out here, if we ask the question, is P1D plus P2D-1, is it bigger than 1?

此,在游戏初期, 当人们还在场时,如果我们提出疑问:P1D 加上 P2D-1 否大于 1? 在场的情况下,不等否成立呢?

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耶鲁大学公开课:博弈论

There's going to be a critical point when, for the first time, the inequality switches from being incorrect to correct, from being false to being true.

不等首次从错误变为正确,从假变为真时, 出现一个关键点。

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可汗学院:统计学(视频版)

If you do that, if you multiply the entire thing times negative 1, this quantity right here, this negative 2.13 will become a positive 2.13.

如果你样做, 整个不等乘以负1,里的个量, 即负2.13, 会变成正2.13。

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耶鲁大学公开课:博弈论

We're saying this inequality, which I'm claiming is going to be important, but none of you know why yet, I'm claiming is going to be important.

我们正在讨论不等, 我断言它非常重要,尽管你们现在还不知道原, 但我坚持认为它至关重要。

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高等数学之美

But of course, for those of you who want some more passive viewing, don't forget that Henry and I just put out a video on Bell's inequalities over on MinutePhysics.

当然, 对于那些想要一些被动观看的朋友们,别忘了亨利和我刚刚在分钟物理学频道上发布了一段关于贝尔不等的视频。

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可汗学院:统计学(视频版)

So if I do that-- so let me just do that right over-- so if I multiply this entire-- this is really two equations or two inequalities I should say.

所以,如果我么做——让我就在里直接进行——如果我整个子——实际上两个方程或两个不等,我应该说。即个量大于那个量,而那个量又大于另一个量。

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耶鲁大学公开课:博弈论

This inequality is not met, not met, not met, not met, not met, not met, not met, not met, not met, and then it's met, met, met, met, met, met.

不等未被满足,未被满足,未被满足,未被满足,未被满足,未被满足,未被满足,未被满足,未被满足,然后它被满足了,满足了,满足了,满足了,满足了,满足了。

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