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If I know about the states involved, I just need to know what the volume was in each of them.
我们并不需要知道一条特定过程的路径，如果我们知道所涉及的态,我仅仅需要知道这些态的体积。
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For me, when I'm doing assignments that require a lot of writing or you know,
对我来说，如果我做的项目需要大量的写作，
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If you put your fingers between the plastic opening at the bottom, and here's where you gotta watch out for the spring, pull the thing apart and that's it.
如果你把手指放到,底部的缝隙中间，这里你需要小心，你剥开就会发现这个了。
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So, if we kind of think about the numbers we would need, we would actually need a velocity that approached something that's about 10 to the negative 30 meters per second.
所以如果我们稍微想想，我们需要的数值是多少，我们需要一个,大约为10的负30次方米每秒的速度。
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You know, if you want to measure the potential energy of something in a gravitational field, you have to define the zero somewhere, right, because it's arbitrary. You can set it anywhere you want. It's the same with enthalpy.
你知道，如果你想测量重力场,中某种东西的势能，你需要，在某处定义一个零点，对吧？,因为势能的值是任意的,你可以把它设定在。
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We have to understand the way in which it's something that, if we're going to accept this point of view, we need to live with.
我们需要理解的是，如果我们接受某一观点，它就会如影随形地跟着我们。
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If I own the last one hundred shares, it's all mine; I don't have to take any--I can do whatever I want.
如果最后一百股是我的,那公司就是我的,我不需要付任何...都是我说了算
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If I wanted to get full, real division, I should make one of them a float.
如果我想要得到真正的除法答案，我需要把他们之中的一个,变为浮点数类型。
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That's what we need, if we're really going to become convinced of the immortality of the soul.
这是我们需要的，如果我们要真正信服,灵魂是不朽的这种观点。
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It's very clear you don't need a force if something is doing nothing, just sitting there.
显而易见,如果物体没有运动,只是静止状态,那是不需要力的
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A narrower array of foods is necessary for nutritional adequacy if people are eating meat.
如果是吃肉的人,只需要几种就足够营养了
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But when their recommendations are so-so, when it's a judgment call, the subjects are significantly more likely to hire the white American than the African American.
但如果他们的推荐信不是很好，这时就需要主观判断，实验对象雇用白人的几率,就会远远高于黑人。
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As shown in this cartoon here, again you don't need to know the details of this, but if you're interested in knowing what's the biological bases of the genetic code this is it.
像这个动画里画的那样,这里你也不需要了解细节,不过如果你很有兴趣想知道,遗传密码的生物学基础
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Now the question is "how does it expand" and "why is it so difficult for us to understand, accept, assimilate and live according to the fact that we can make a difference, if we understand that what we need to understand is how change happens.
问题是“它如何扩大“,以及为什么我们难以理解，我们能够做出改变这个事实,并接受，被同化以及据此生活，如果我们能了解我们需要理解的,是改变如何发生。
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So if you need help, you probably will get a significant amount of help.
所以如果你需要帮助，你就会得到很多有用的帮助。
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Even if you worked in a small shop, they only had eight workers and you were related to half of them.
如果你在一个小商店工作,你需要和八个员工的一半人协调工作
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If I want to get down to very, very fine dimensions, I have to bring huge energy and disturb the very thing I am going to measure.
如果我想认真处理很精确很精确的度量，我需要用巨大的能量,但是弄乱我将测量的东西。
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The citizen of the best regime he says must be able to sustain war if duty requires but only for the sake of peace and leisure.
最佳政体的公民，据他所说,如果有义务上的需要，必需要能承担战争,但目的必需仅限于为了和平与安逸。
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If you don't, we may have to review your future with this company.
如果不这样的话，恐怕我们需要重新考虑你在公司的发展前景。
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I think you need literature and philosophy to have uh, a good soul.
如果你想拥有健全的灵魂，你需要学习文学和哲学。
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We can know this information even if we just knew that the bond was stronger, we wouldn't need to look at a graph here, because it turns out that if you have a stronger bond, -- that also means that you have a shorter bond -- those two are correlated.
我们依然可以得到上面的信息,即使我们所知道仅仅是这个键更强，我们不需要去看这个图，因为事实上如果你有一个更强的键，这也就意味着你有一个更短的键-,这两点是互相关联的。
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Really there's no work to be done if I am handed all in sorted order so, you know, There's no work to be done if I'm handed all of the arrays in sorted order so, you know, if I demand that you give me this assumption that the cups are already sorted and then I'll sort them for you, I mean, this is kind of a cyclical argument.
如果杯子是有序排列的,那就没必要再对它进行排序了，同样如果给出的序列本身就是有序的,那也不必再做什么，如果给出这样的假设：,杯子已经有序，但仍需要对其进行排序，这像是个循环的论点。
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get back to the initial point is going to require some input from outside, like heat or extra work or extra heat or something because you've done an irreversible process.
如果要逆转它,回到初始点，就需要外界的投入，比如额外的功，额外的热量等等,因为你进行了一个不可逆过程。
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The message I'm trying to get to here, because I'm running you right up against time, is I have to be careful about what's a primitive step.
我想说的事情是，因为我正在跟大家讲算法时间复杂度，我们需要注意一个基本步骤的定义,如果我可以假设。
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So, if we want to figure out the formal charge on the carbon, we need to take the number of valence electrons, so that's 4. We need to subtract the lone pair, what number is that? It's 2.
如果我们想算出碳原子的形式电荷，我们需要将价电子的个数，也就是四，减去孤对电子的个数，它是多少？是二。
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If somebody goes through a terrible initiation to get into a club, they'll like the club more.
如果人们需要经历一些低劣的入会仪式,才能够进入某个社团的话，那他们会更喜欢这个社团。
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If you take part in a partnership you are individually liable for the debts of the corporation.
如果你加入了合伙制企业,个人需要为企业的债务承担责任
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And if the best that the soul theorist has is, "Maybe we need this to explain something that I don't see how you guys can explain, maybe this would help, though I can't quite see how either," that's not a very compelling argument.
如果灵魂主义者最为充分的理由是,或许我们需要灵魂来解释些,我认为你们不能解释的东西,或许这样能有些帮助,尽管我也不清楚怎样用灵魂解释,这就不是一个很有说服力的论证
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So it turns out there's a solution to this: If you need more precision, more digits after the decimal point than a float allows, what do you go for instead?
所以这里有一个解决方案：,如果你需要比float类型允许的更高精度，小数点后更多位数,那你该用什么取代它？
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