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
If a person has the basic concept down, regardless of numerical errors, if the person has the basic concept down, he or she must get at least five out of ten.
如果一个人有一些基本的概念,不管一些数字上的错误,如果他有基本的概念,至少都能够得到一半的分。
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。
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
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
And so, Freud's theory is, as I said before, a theory of everyday life, of decisions, of errors, of falling in love, but it's also a theory of child development.
所以,正如之前所说,弗洛伊德的理论不仅解释了日常生活,决策,失误以及恋爱等现象,还解释了儿童的发展。
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
If you're getting these compilation errors, well, -- when you compile, notice there's a number of key help -- the number of helpful tidbits here.
如果你们得到了这些编译错误,当你编译的时候,注意这里有很多关键帮助-,这里很多帮助信息。
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。
Now here's how-- here's how the kind of errors that people make.
这就是人们如何造成的误差
Normally the errors don't look this complicated but they still look fairly arcane.
一般来说,问题都不会很复杂,但是还是看起来有点神秘,不是吗?
Some of you have actually had the privilege of having these errors already, for different reasons.
你们中有人有出现过,这些错误,因为不同的原因。
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
There are no syntax errors so it does compile.
这里没有语法错误,所以它通过编译了。
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