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It says find the midpoint, which says, last take the start, which is pointing to that place and add it to start. And that basically, somewhere about here, gives me the midpoint.
先找到中点，从起点开始，指向这个位置，用first减去,加上得到偏移量），大概在这里，我们找到了终点。
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I think they're about 17 and 5 or something like that or somewhere near that, not sure but
他们大概是17胜5负这样子，或者差不多，我不确定但
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And I want to stress this, we're going to come back to it later on in the term, so the way I'd like you to think about it for now, is that somewhere in the machine, there's a big space that contains all possible values.
我想要强调一点，我们在晚些时候,还会回头来讲这一点，因此现在,我需要你们形成这么一个观点，就是在计算机的某处，有一个包含了所有可能值的,很大的空间，好。
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Are you among those more comfortable, have you taken any computer science, were you programming at the age of 10 but you'd actually like to learn a bit about things you don't yet know and challenge yourself with new content or are you somewhere in between?
你对电脑比较熟悉么，你上过计算机专业方面的课程吗？,你是不是10岁就会编程,来上课的目的只是为了学习未知的知识,或者用新知识来挑战战自我？,还是二者兼有？
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One question is this: Is it really true that in order to think about the perfectly straight, I must have somehow, somewhere at some point come up against, had direct knowledge of, the perfectly straight?
一个问题是,难道真的说,为了想象一条完美的直线,我必须,在某处直接碰到,并直接了解一条完美的直线吗
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Lots and lots of loans, the securities that people bought at par that were worth about somewhere between zero and $.15 or $.20 and now trade there.
市场上充斥着越来越多的贷款，人们按照面值购买的债券,真正的价值只有大概,0到0。15或者0。20美元0,而它们就这样进行交易。
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By that view, the phalanx would have come into being somewhere between about 700 and 650 B.C., which is to say after the earliest poleis are in business, and according to this interpretation, you really have them growing up together.
根据那个观点,方阵是在公元前七百年到,公元前六百五十年间出现的,也就是在最早的城邦形成之后,根据这个说法,这二者是同时发展起来的
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So,we're talking about a group of funds that in aggregate probably produced somewhere in the low teens returns and he's got 11.7% per year combined survivorship bias and backfill bias.
因此我们说这组基金总体上,大概产生了略高于10%的收益率,他算出的数字是每年11.7%,结合了生存偏差和回填偏差
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