So sometimes the extra solution is very interesting and you should always listen to the mathematics when you get extra solutions.

所以有时候这些增根的意义很耐人寻味,当你解出增根的时候,别忘了想一想它的数学含义

耶鲁公开课 - 基础物理课程节选

Like, if there is a problem, I try to think of the solution.

比如说出了什么问题，我就试着想怎么解决。

幸福的定义 - SpeakingMax英语口语达人

The solution is so simple, give us $2, we'll give you a ticket and yet it takes nine steps to do that.

解决方案也简单，给我们2美元，我们将给你一张票,但是你需要9个步骤来处理。

哈佛公开课 - 计算机科学课程节选

So always amazing to us how we go into the problem, our eye or mind can see one class of solutions, but the math will tell you sometimes there are new solutions and you've got to respect it and understand and interpret the unwanted solutions, and this is a simple example where you can follow what the meaning of the second solution is.

解决问题的方式总能让人惊喜不已,我们的眼睛或思想可以看见一类解,但数学有时会告诉你还有新的解,你不能忽视它,而是解释这些不期而至的解,这只是一个简单的例子,由此你可以理解第二个解的意义

耶鲁公开课 - 基础物理课程节选

My algebra, which is often wrong, suggests that the solution is S1* equals S2* equals 1 over .

我代数总是算错,最后解是S1*=S2*=1/

耶鲁公开课 - 博弈论课程节选

The notion here is that you can get a globally optimal solution from locally optimal solutions to sub-problems.

这里的概念是你可以通过,子问题的局部最优方案,得到全局优化解决方案。

麻省理工公开课 - 计算机科学及编程导论课程节选

Suppose f of x, y, z equals k1, that is my equation, s1 and it gives me a solution s1.

假设我的方程是这样，然后给出了一个解。

麻省理工公开课 - 固态化学导论课程节选

There is obviously no magic solution to this question but the best answer I know of is Socrates.

这个问题,没有神奇的解答,但我认为最佳的答案是苏格拉底。

耶鲁公开课 - 政治哲学导论课程节选

As I see it, there is only one solution to all the foregoing difficulties.

在我看来，解决这种困境只有一个办法。

耶鲁公开课 - 文学理论导论课程节选

So skepticism, just throwing up your hands and giving up on moral reflection is no solution.

因此怀疑论让你们举起双手，放弃道德反思,这绝非可行之策。

耶鲁公开课 - 公正课程节选

So actually, this is a winning solution.

所以，这实际上是个成功的解决方式。

普林斯顿公开课 - 人性课程节选

Jell-o is just a hydrated solution of collagen and it contains a lot of water.

吉露果冻就是一种水合的胶原蛋白溶液,它含水极多

耶鲁公开课 - 生物医学工程探索课程节选

But if you can accept the purity of the statement I just made, it is at the root of the thing you have a solution.

但如果你能够遵从原教旨主义的方式,那么这就是你解决此问题的根本

耶鲁公开课 - 古希腊历史简介课程节选

Now incidentally I'm writing a book the title of the book is Subprime Solution; I just sent off the draft to the copy editor last Friday.

顺便提一句，我正在写一本书,名叫《次贷危机解决方案》；,上周五我刚刚将草稿送到文字编辑手中。

耶鲁公开课 - 金融市场课程节选

This is where the solution, by the way, to bringing together--and you could write this down-- to bringing together all the warring countries and religions of this planet is an alien attack.

顺便告诉大家，这个办法，是让…你们可以写下来-,让敌对国家合作的方法,让地球上的宗教合作的方法就是外星人袭击。

耶鲁公开课 - 心理学导论课程节选

So what is shown here is the potential solution to potentially read out neural signals dragged from the brain and use these signals after some interpretations or decrypting if you will to drive prosthetic arms or computer cursors on the screen.

大家现在看到的是一种可能的解决方案,有助于解读病人大脑发出的神经信号,同时在经过翻译或者解码之后,使用这些信号，驱动假臂,或者电脑屏上的光标。

斯坦福公开课 - 7个颠覆你思想的演讲课程节选