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The week after we implemented the so-called game of 15, this little party favor where you move the numbers up, down, left or right.
到第三周，我们要编一个叫做“15”的游戏，就是经常在派对上玩的,可以把数字上，下，左，右移动的小游戏。
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Do you read them left to right, or right to left?
是从左到右还是倒过来？
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I might not be sure whether the opponent, whether my opponent, is choosing Left or Right.
我可能不太确定,我的对手会选择左还是右
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They began laboring to suppress and laboring to stamp out forces that opposed them, whether those forces were on the right or on the left.
他们开始努力超越,努力毁灭反对他们的力量，不管这些力量是左派还是右派。
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Let's divide it up into the two sides, the work going on on the left hand side, my left hand side or your left hand side, and the work going on on the right hand side.
仅仅是功的大小而已，让我们把它分成两部分，左手边功的变化，和右手边功的变化。
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I've got to tell you whether I went to the right or whether I went to the left.
我必须告诉你,我是向右走还是向左走的
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which foot gets the down beat, right or left?
哪只脚踩重拍呢,左脚还是右脚
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Y You don't want to rename them L and R or X and Y right because you want to call them left and right.
你不想把它们重命名为L和R，或者X和,因为你想叫它们为left和。
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Well,you're in some battle,or rather, your troop is in some battle, and people are being killed left and right.
比如你在战场上，或者说你的军队在战场上，周围的人被杀死。
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What about my expected payoff from choosing Middle against , so in this case where I think it's equally likely that my opponents going to choose Left or Right?
那我在情况下,选中的预期收益是什么呢,在此情况下我依然认为,对手选左选右的可能性相同
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It's the safer answer if you can't decide whether or not your opponent's going to choose Left or Right, so you don't have to worry about having a payoff of 0.
当你无法判断你的对手会选左还是右时,选下是较安全的答案,因此你不必担心收益变成0
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So it turns out that, as the gentleman out there said, if I thought it was equally likely that my opponent was going to choose Left or Right, then actually my best choice, my best response is to choose Down.
这个结果和刚才那位先生说的,如果我觉得我对手,选择左或右的可能性相同的话,这时候最好的选择,也就是说我的最佳对策是选下
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It's really hard for candidates to convince you, that they really are a left, or a right, or a centrist candidate.
通常候选人很难让选民相信,他们是左派,右派,或是中间派
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So we're allowing you to, for example, to hold the belief that it's equally likely that the goalie dives left or dives right.
所以,打个比方,这里也可以包括,门将扑向左右两路概率相同的情况
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Okay. Here's piece one: Right hand or left hand.
这是第一首,左手还是右手
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Conversely, if you think the goalie's going to shoot to the right with probability more than a ?, then the best you can do is represented by the pink line, and that's shooting to the left, or if you think the goalie's going to dive to the right with the probability more than a ?, the best you can do, your best response is to shoot to the left.
相反如果你认为门将扑向右侧的概率,大于?的情况下,此时你最佳策略用粉线表示,即从左路射门,也就是说如果你觉得门将扑向右路的,概率大于?的话,你最好选择从左路射门
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You either want to coordinate on up left or you want to coordinate on down right.
你们希望通过协调,能够达到左上或者右下的结果
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So if I shoot to the right and the goalie dives to the left, then I score with probability point 9 or my payoff is 9.
如果我从右路射门而门将扑向左路,我进球的概率是90%,即收益是9
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He could kick the ball to the left, the middle, or the right.
他可以选择左路,中路,右路
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The goalie can dive to the left or the right.
门将可以选择扑向左路或者右路
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So the idea is, any candidate who stands in this election, you know who that candidate is, you know whether they're right wing or left wing, so they can't tell you they're something else.
意思是,选举中的任何候选人,你知道他们是谁,你知道他们是左派还是右派,所以他们不能说他们在别的立场上
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Notice here, just to underline something which came up at the end last time, that doesn't just mean beliefs of the form, the goalie's going to dive left or the goalie's going to dive right.
我再提一下,上一讲最后的结论,大家需要引起重视,我并不是说信念是这种形式的,即门将会扑向左路或者门将会扑向右路
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Another way of saying that, stop me if this is wrong, but one way to say that is we've been assuming that politics is one dimensional, left/right and there might be other things involved: character or even among issues, even among political issues it could be more than one dimension.
换句话说就是,如果我说错了请纠正,换种说法就是,我们把政治假定为单一维度的,非左即右,然而它还涉及其他方面,比如性格问题,即使政治事务的处理也不是单一维度的
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We talk in terms of high pitch and low pitch although we'll fine tune that next time, and then we have this idea of duration or time, which we tend to write out in symbols that move from your left to right.
我们是从高低方面来谈论音高,即使我们将于下次讲解曲调的问题,我们已经有了音符时值或时间的概念,我们倾向于用符号来表示,时间是从你的左边向右边移动的
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If you can kick the ball very hard, but not very accurately, then if you try and shoot to the left or right, you're slightly more likely to miss.
如果你只会大力抽射但是缺乏精准,当你射向左路或者右路时,你有可能会射偏
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So here's a program called Arg V, this is fancy speak for argument Vector, a list of arguments for the left or right.
这里有一个叫做ArgV的程序，这个设想讲述了,参数矢量，从左到右的一列参数。
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Is it in the left hand of the piano or in the right hand of the piano?
是我左手弹出的部分,还右手弹出的部分
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But, you know, in 2D, the options are not just left and right or north and south, but infinity of possible directions in which I could go those 5 km.
但在二维空间中,不仅可以向左向右或者向南向北,我在走那5公里的时候可以有无数个方向
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So you can think of it as left or right, top to bottom, or whatever, the point is they come next in RAM.
你可以想象它们为left或者right，从上到下，要点是它们在内存中紧随其后。
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And Player II is choosing Left or Right, and the payoffs are as follows.
参与人II有左右两个策略,收益是这样的
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