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The history of mortgages is that they have generally over time gotten more easy on loan-to-value ratio and also on maturity.
从抵押贷款的历史来看,随着时间推移,抵押贷款,对于贷款价值比和期限越来越宽松
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The value of money changes through time because of inflation or deflation; yet, most of our debts are written in money terms.
货币的价值因时而异,那是因为存在通货膨胀和通货紧缩;,但是，我们大多数负债都以货币方式记录。
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I'm much better having an exception get handled at the time of input than to let that prop -- that value rather propagate through a whole bunch of code until eventually it hits an error 17 calls later, and you have no clue where it came from.
不是我期望的格式,这时我最好有一个异常处理,而不是让其传下去,这个值传到代码的整个分支,最终会导致一个错误17调用的发生，并且你不知道这个错误是哪里来的。
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Not to harp on the mathematical features of this, but cubing, AX*X*X you know, if you're starting to do AX star, X star, X, every time you want to cube some value in a program, it just feels like this is going to get a little messy looking, if nothing else.
不要总是说这个的数学特性，但是体积，你们懂的，如果你开始做，在一个程序中，每次你想算几个数值的体积，感觉它就变得,有一点凌乱的，如果没有其他的。
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We didn't anticipate, at that time, what's happening now, which is, you're seeing value get stripped out of the client and into the server, which makes it even more important to be in the cloud, so to speak.
我们那个时候没有预计到现在的情况，也就是说，现在,客户端的价值向服务器转移，所以拥有云技术,就更加重要了。
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I think there's a value in taking the time out.
很有必要抽出一点时间。
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For example, if you started here and you did all this and you came back here, the average velocity would be zero, because you start and end at the same value of x, you get something; 0 divided by time will still be 0.
例如,如果你从这里开始运动,经过这个过程又回到这里,平均速度就是0,因为初态和末态的位移相同,你得到了什么呢,0除以时间还是0
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Because if anything worked, there would be a solution that would have some value over time and people wouldn't have to be seeking out the newest miracle, getting every little thing they see on TV and the like, and I'll show you some amusing examples of those in the next class.
如果真有用,那就找到了长期有效的解决方法,人们就不会再三地寻找方法了,只要看到电视上有什么小妙招就要尝试,下堂课我会举几个有趣的例子
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I'm not sure how much this gonna be covered in the course, but I'm very interested in the way films are recieved by audience and the shock value that film can have be acceptable in film and through time how it changes.
我不知道这门课,会多大程度上和这个话题相关，但是我对此,电影被观众接受的方式和带给观众的冲击,和电影是如何随着时间不断变化的,很感兴趣。
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And the idea, again, is the kids who don't get rewarded say to themselves, "Well, I just spent time doing it, it must have an intrinsic value," while the children who get rewarded say, "I did it for the sticker. I did it for the toy.
再一次，没有得到奖励的孩子心里想，“我花了时间来做这件事，它一定是有内在的价值的”,而拿到奖励的小孩会说，“我是为了贴纸和玩具才做的”
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This is the present value of $1 in one time period, which I'm taking to be a year.
这就是一美元在一段时期内的现值,我只是将一美元持有一年
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Then go to the x equation and demand that this be equal to the desired x value and find the time.
然后列出关于 x 的方程,令这个式子等于给定的 x,并求出时间
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And so this time when you hand it back, this value, I store it in -- we'll say X, and now we actually have retained the value.
这次当你拿回这个值时，我把它存储在X中，现在我们把这个值保存了。
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to the n, every value in the 1 bit vector we looked at last time is either 0 or 1. So it's a binary n number of n bits, 2 to the n.
从2到n，我们上次看到的,位向量的每个值不是0就是,所以它是n，比特的二进制数,从2到。
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0 This time I called it X. I hard-coded into it the value 10.
这一次我声明它为X，我把它赋值为。
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At that time t, the x coordinate must have a certain value.
在该时刻,x 坐标一定是个确定的值
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And when you call a function, one of the things X that happens is whatever your passing in, for instance, X, ; and if this is A, this thing gets copied into A; so at that moment in time of calling increment, I actually have two copies of the same value in memory but they're referred to by different names.
当你调用一个函数，其中发生的一件事情是,不管你输入什么，比如，或者是A，它把这个东西复制到A中;,调用increment的时候，实际上在内存中，有两个同样的值的内存块,但是它们有不同的名字。
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if I say a particle's location is i times t^2 plus j times 9t^3, for every value of time, you can put the numbers in and you can find the velocity by just taking derivatives.
一个质点的位置,i ? t^2 + j ? 9t^3,在每一个时间点,你可以把数值代入,并通过求导得到速度
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