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OK, important -- if you are part of this group here think about it and make sure you understand that.
好的，这很重要，如果刚才你选了可逆过程,请好好想想并且保证已经理解了这个问题。
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The payoff of 2 against 3 is all the people at 1, all the people at 2, so it's 20%.
如果对手选3而我选2我会得到,立场1和2的全部选票,一共20%
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If the program works right here's what people said, 81% said pneumonia, 15% malaria, 2% cancer, and 2% heart disease.
如果程序没出错,你们的选择是这样的,81%选了肺炎,15%疟疾,2%癌症和2%心脏病
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In fact,if you wanted to argue against, say,the Letter of Hebrews being included,you could say, "But all the people in the East don't accept the Letter of Hebrews as part of their canon,so we shouldn't,either."
实际上，如果你想反对，希伯来书被选上，你可以说，“但是东方的人都不承认希伯来书,属于他们的正典，所以我们也不应承认“
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I think maybe the best option is to take both if you're really interested in the subject matter.
如果你真的对金融很感兴趣的话,我觉得最明智的选择就是都选
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If when someday a republican is elected to the White House and the president says Josh, pick. What would you like to do?
如果将来一位共和党人当选,入主白宫，然后总统对你说,约书亚，任选一个职位，你会选什么？
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If you decide to take this course, get a hold of the materials for next Tuesday, do listening exercises one and nine through eleven.
如果你选这门课,下个星期四准备好这些材料,做听音练习1和9到11
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I am especially concerned about attendence, So if you have arch-practice these Tuesday afternoons and can't be here every week, you shouldn't take this course.
我很在意考勤，所以，如果周二下午,你有实践活动课,不能每周都出勤的话，建议你不要选这门课。
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If you want to get those e-mails, you got to sign up for the course because I push a button and it goes to anybody who's signed up there.
如果你想收到邮件的话,你得选我的课,因为我点一下按钮,邮件就发给选课的同学了
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At each stage, no matter which branch, here or here, I take, I'm cutting down the length of the list that I'm searching in half. All right?
选的是这里还是那里,我总是把列表分成两半，对吧？,所以如果我处理一个长度为n的列表？
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So Alpha does better. But if my pair chooses Beta, then Alpha gets me -1; Beta gets me 1.
此时选α较好,但是如果我对手选β,我选α得-1,选β得1
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Because I thought the payoffs - the two different payoffs that I could have gotten-- were highest if I chose Alpha.
因为我发现,如果我选α的话,我得到的两种结果是最优的
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So if that was the reason they were included in the ancient world,it's not the reason they're still in now, because modern scholars don't believe the apostles actually wrote all of these texts in the New Testament.
如果那就是它们在古代被选上的原因,它不是现代人所认为的原因，因为现代学者认为,新约里的书并非全为使徒所写。
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If I choose Alpha and she chooses Alpha to get 0; Beta she gets -1. Alpha is better.
如果我选α,她选α她得0,选β她得-1,选α更好
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If your opponent doesn't choose 1 or 2, then you're always going to be 5% better off if you choose 2 than 1.
如果你的对手不选1立场或者2,你选择立场2总会比选择,立场1多得到5%的选票
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But if we both reasoned a different way and chose Beta, then we'll both get 1.
但是如果我们都换个想法去选β,那我们就都得到1单位效用
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If I choose 1 against 3, what share of the vote do I get?
如果我选立场1,对手选立场3,我能获得多少选票
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If I choose Beta, if she chooses Alpha she gets 3; Beta 1.
如果我选β,她选α得3,选β得1
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If the pair chooses Alpha and she chooses Alpha, then she gets 0.
如果对手选α她也选α,她得到0
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We say that my strategy Alpha strictly dominates my strategy Beta, if my payoff from Alpha is strictly greater than that from beta, regardless of what others do."
无论别人怎么选,如果选α得到的结果严格优于β,那么α相对于β是个严格优势策略"
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So if the other person's choosing Right with probability 0, that's the same as saying they're going to choose Left, and if I chose Middle against Left, I get what?
如果对手选右的概率是0,也就是说对手选左,此时我选中的收益是什么
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Because, if you did, then you would always be dominated.
如果你选了，你就总是处于劣势。
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And if Player I chooses bottom, then center yields 2, right yields 0: 2 is bigger than 0 again.
如果参与者I选择下,选中的收益是2,选右的收益是0,2大于0
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Well they won't be, If you put Alpha and you're paired with Beta, then you will get an A and your pair a C.
纯属娱乐,大家别当真,如果你选α而你对手选β,那么你得A你对手得C
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So the easy ones are on the diagonal: you both get B- if we both choose Alpha; we both get B+ if we both choose Beta.
这样就更直观了,如果我们都选α的话得B-,如果我们都选β的话得B+
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It is true that by both choosing Alpha we both ended up with B-'s.
的确如果我们都选α我们都得B-
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If you and your pair both put Beta, then you'll both get B+."
如果你们都选β,你们都得B+"
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So if Player I chooses 4, Player II should choose, I'm sorry, Player II chooses 4, player I should choose 2, and this is a straight line in between.
如果参与人I选4,参与人II要,说错了,是参与人II选4而I选2,这两点之间是一条直线
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What if you knew that Player II was going to choose Left?
如果知道参与人II会选左你们怎么选
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If you and your pair both put Alpha, you'll both get B-.
如果你们都选α,那么你们都得B-
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