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Let's take a quick glimpse of what it's like to write a real program albeit a very trivial one.
下面是一个真正的程序,尽管它很简单。
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So, it's a trivial matter, by looking at what is the weight and how far does it drop, to say OK, how much work is done by the paddle wheel.
好，让我们看看重物的质量,以及它下落的距离，就知道桨轮做了多少功。
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And the third thing I need to decide is how do I combine? You know, point out to you in the binary search case, combination was trivial. The answer to the final search was just the answer all the way up.
第三个问题是我需要决定如何进行合并？,就你们所知的，在二分查找中所打印出来的,合并的过程是非常简单的,最后查询的结果,就是一路上来所以的结果。
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The point of Newton is, two things in the Law of Inertia, which one may think is trivial.
牛顿的观点是,惯性定律分两部分,可能有人觉得这种分法无关紧要
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And, one thing I'd like to add to it, and that is, and I told this to my recitation sections that when you do these quizzes, in spite of the fact that it might be trivial in some cases, make sure you carry the units through.
而我要在这基础上再加一条，我在我的背诵课上也讲过,当你考试时，尽管单位不重要，但我希望你能注意它们。
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So, as I say, it's a trivial matter to imagine a world in which the Evening Star exists and the Morning Star does not.
我说过,显而易见,想象在一个世界里,昏星存在,而晨星不存在
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So, a little tidbit of knowledge for you that's somewhat trivial.
这是他的一些,花边新闻。
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Well,in the context of a psychology course, it's anything but trivial that change is possible.
在心理学上，改变是有可能的，这点十分重要。
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The game I just put up, that's a trivial example, it didn't really matter which equilibrium we played here, we just wanted to play an equilibrium, is that right?
但是现在讨论的这个小案例呢,到底达成哪个均衡并不重要,重要的是我们要达成均衡,是这样吧
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This helps us to explain, for instance, why in so many cultures the concept of saving face is so important, even if to most modern Americans it seems relatively trivial.
这就很容易解释，为什么很多文化里的面子问题,会变得那么重要，而对许多美国人来说,那都是小事一桩。
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Now, in some sense this is an--a rather trivial finding.
这不是一个很重大的发现。
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He says,"provincials are like mold, burrowing in their little plots, or frogs at the bottom of their puddles, engaged in sordid, trivial rivalries, moved by petty jealousies, avarice and material interests.
他说,乡下人就像模子里刻出来的,在他们的自留地里乱挖一气,或者在泥浆里面挖青蛙,从事着肮脏,没什么竞争性的工作,为嫉妒,贪婪和物欲所驱动
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In the example I just wrote here, this is pretty trivial, right. OK, I'm trying to input floats.
在我写的这个例子中,这是很微不足道的。
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Here is the left half of the left half which is a trivial list of 1.
这是左半部分的左半部分,是一个大小为1的列表。
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Here is the right half of the left half, trivial list of 1.
这是左半部分的右半部分，其大小为。
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The second question I want to ask is what's the base case? When do I get down to a problem that's small enough that it's basically trivial to solve? Here it was lists of size one. I could have stopped at lists of size two right. That's an easy comparison.
第二个问题是什么是基础条件？,我要将问题分解到何时才使得问题,小到可以解决的基本问题？,这里是当列表的长度为1有时候,我也可以在长度为2的时候停止分解,那是一个非常简单的对比。
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It's just a trivial grammatical point about the meaning of the word my.
只是“我的“这个词的琐碎语法点而已。
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It seems trivial, but it's really important.
看起来很没意义，但它其实很重要。
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One is the trivial case, homonuclear.
第一种很没有意思，就是同核。
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The algebra is, of course, very trivial here.
这些数字本身当然是平凡无奇
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Trivial, smart animal, piece of cake.
对于这么聪明的动物，这易于反掌。
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And it's called divide and conquer for the obvious reason. I'm going to divide it up into sub-problems with the hope that those sub-problems get easier. It's going to be easier to conquer if you like, and then I'm going to merge them back. Now, in the binary search case, in some sense, this is a little bit trivial.
因此被称为分治的原因就这么简单,将一个问题分解成一些子问题,并希望这些子问题解决起来比较方便,正如你希望的，求解的过程也会变得简单,下面就是把结果合并起来,现在，在二分搜索的例子里,从某些方面来说，这有点微不足道。
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And that's why all those reactions, first of all, in some sense what I put up was kind of a trivial statement in actual fact saying they all happen spontaneously because I didn't specify what we were starting with exactly, what concentrations we were starting with.
首先这就是为什么所有的这些方程，在某种程度上,我举得这些例子说它们自发产生,这是一个琐碎的陈述,因为我没有说明，我们从什么地方开始。
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So, also about Max Born, just to give you a little bit of a trivial pursuit type knowledge, he not only gave us this relationship between wave function squared, This is her grandfather, I don't know if you can see from the eyes, I feel like there's a little bit of a resemblance there.
这里有些，关于它的，花边新闻,他不仅带给我们，这个波函数平方的关系,还给我们带来了，他是她的外祖父，我不知道,你们能不能看出来，我觉得,他们眼睛长得很像。
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So let me pick a couple of trivial questions one can ask.
现在我提出一些常见的问题
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Just to see that in a very simple example, again, we don't use such a complicated example as the one we looked at last time, you could imagine a game, a really trivial coordination game, which looked like this .
不妨再举一个例子,我们就不找上一讲那么复杂的案例了,看一下这个简单的协调博弈,如
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