-
Successive approximation, Newton-Raphson was one nice example, but there's a whole class of things that get closer and closer, reducing your errors as you go along.
逐渐逼近,牛顿迭代是一个很好的例子,随着你不断的时行下去,你会不断的离结果越来越近，逐渐地减少误差。
-
but my students are 50% international and there's a lot of errors in the piece,
但我的学生50%都是国际生，论文里会有很多错误，
-
I wanted to list a few errors that are well-known and that are exploited by unscrupulous people in finance.
我先罗列一些大家熟知的错误,这些错误常常被无良的人在金融领域中利用
-
But when you start doing scientific research or financial work, imprecision and rounding errors start to add up.
但如果你碰到涉及科学研究,或财政方面的项目时，不精确度,和错误就会累加。
-
So how do we go about measuring these things and what sorts of errors are in them, and how accurate are they?
那么我们该如何去评估,其中产生怎样的误差,它们又准确到什么程度
-
And you're not counted off for errors that you make in writing, either, if you're writing in French; and it really rocks, trust me.
你在写作里有错,也不会扣分的,如果你用法语写的话,而且这么着可带劲了,真的
-
as long as it's small and finite, will lead to some small infinite errors in the formula, but remember it's got to be in the end made to be vanishingly small.
只要它只是有限小,就会在公式中引起无限小的误差,但请记住,Δt最后变得难以察觉地小
-
That kind of problem tends to arise because they're using a language or a computer that only has finite precision and so there are rounding errors.
这类问题已经日趋严重了,由于他们使用的语言或电脑,都是精度有限的,因此存在这样的问题。
-
And people are making errors of this magnitude you can see the problem.
如果人们在重量估测上犯了错,问题便出现了
-
But medium today is not what medium used to be, and because of that people really make a lot of errors in understanding how much a portion is.
但现在的中包薯条和过去的大小不同,因为这,人们理解什么是每日摄入量时,就犯了很多错误
-
I just reran make or GCC does it for me, and now I've got all these errors. Well, let's see.
我刚重新运行了make，或者GCC为我编译了代码，现在我得到了这些错误，好的，让我们看看。
-
Okay, so you can see the size of the errors and you can see the problem with dietary assessment, and you can see the problem with how many calories get packed in processed foods.
你们看见了,误差的幅度很大,你们也明白了膳食评估的困难,你们也发现了,加工食品含有大量卡路里的问题
-
All right now, now what I'd like you to do is just sort of do a guestimate in your mind of the percentage errors you might have made overall in these estimates, and I'll come back and ask you in a minute.
好了,现在,现在我希望你们,在脑海中估算下你们预测的百分误差,你们可以就总值做一个估算,我会在一分钟后问你们
-
Of course that depends on the accuracy of the self- reports that people are making on their own, and as you'll see in just a minute, there are errors in that and some of you may have experienced some of that yourself in keeping the dietary records.
当然这还取决于每个人自己完成的,个体调查的准确性,正如你马上会看到的,这其中有误差,而你们也可能经历过一些,你自己保存膳食记录时的误差
-
You have to make those calculations and there are errors in that, but you come away with a population estimate of things like that.
你必须把这些都算进去,因为其中存在误差,但这样你会得出,整体人群摄取量的估算值
-
I included the length, let me go ahead and compile this program called Holloway.c. No errors which means that's good.
我包含了那个长度，我们继续,编译这个Holloway，c程序,零错误，非常好。
-
In this case people--bread, chips, and ham- they were estimating really large errors here.
对于面包,土豆片和火腿,人们的估算存在很大误差
-
And each time one of these errors occurs, or you get multiple errors that compound each other, then you've got a lot of potential error introduced in these messages.
每当有误差发生,或多重误差复合叠加,然后你所得到的信息,就会包含很多潜在的误差
-
Now this was nineteen-eighty-two, quite a long time ago, at a time when people really weren't paying much attention to calories like they are now, so you'd expect the errors to decline as time goes on and there's some evidence of that, but they're errors nonetheless.
这是1982年的实验,很早之前了,当时的人们并不像今天的人们一样,那么关注卡路里,所以你会预计误差会随时间推移而减小,有证据证明了这一点,但误差仍然存在
应用推荐