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And the Aristotelian view held for a long time, but eventually it started to crumble in the light of more data.
而亚里士多德的观点在很长时间里得到了认同，但最终还是崩溃了,在越来越多的数据面前。
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I was given two weeks and one other programmer in Biz Stone to write the software. And we did it.
我和比兹·斯通手下的另一个程序设计师,得到了两周时间来编写软件。
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So it doesn't matter how big the dictionary is, you can instantaneously retrieve the value associated with the key. Extremely powerful.
因为你可以在线性时间，内得到想要的键对应的值,这太强大了。
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He said, first, let it go a little distance, take the distance over time, that gives you the velocity now.
他说,首先,让它运动一小段距离,距离除以时间,你就能得到现在的速度
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Somehow when you're unnamed you're not part of language; you're still connected to the mother. And he actually had a female name. Remember he's called Christine for a while.
不管什么原因你没有名字就是没成为语言的一部分;,你还是与妈妈紧紧联系，事实上他会得到,一个女性的名字，记住他曾经一段时间被叫做克里斯汀那。
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I ask you for the running time of this algorithm and you give me the running time in terms of the running time, right.
我需要得到此算法的时间复杂度,那就明确地给出其,运行时间。
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So, if that meets your schedule in a better manner, then again, do it but only with permission from Hillary or Lori.
如果它们更适合你们的时间安排，还是，只能在得到Hillary或Lori的允许,才能那样做。
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if you don't want to use that, you can also derive it as we did every time, it should intuitively make sense how we got there. But the exams are pretty short, so we don't want you doing that every time, so we'll save the 2 minutes and give you the equations directly, but it's still important to know how to use them.
吸收的和发射的，如果你不想用公式,你也可以每次都向我们这样推导它,很直观的就能得到结果，但考试时间很短，我们不希望你们每次都推导,所以我们会直告诉你，让你节省2分钟，但知道如何应用它十分重要。
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What you get at the end of the day is a colored piece, corresponding to the responses model of neurons that uniquely tells us that the patients want us to reach over to the left and up.
一天时间下来，大家就会得到一张彩图，描绘出神经元反应的模式,这种独特的方式告诉我们,病人想要触摸左边和上边。
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You could take weights on people measured over a period of many years and look at the variability over time in weight and then link it to things like heart disease and cancer, and I'll come back later and talk about the results of that particular study.
我们还可以得到人们很长一段时间里,每年的体重数据,观察体重随着时间变化的变动,并将观察结果与心脏疾病和癌症联系起来,我等一下会告诉大家这项研究的结果
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And the idea, again, is the kids who don't get rewarded say to themselves, "Well, I just spent time doing it, it must have an intrinsic value," while the children who get rewarded say, "I did it for the sticker. I did it for the toy.
再一次，没有得到奖励的孩子心里想，“我花了时间来做这件事，它一定是有内在的价值的”,而拿到奖励的小孩会说，“我是为了贴纸和玩具才做的”
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Take the difference of the two velocities and divide by the difference of the two times, and you've got the acceleration.
求出速度的差值,除以时间的差值,这样就能得到加速度
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You can take one full circle divide by the time and you will get this.
你可以先转一整圈,再除以时间就得到这个
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For example, if you started here and you did all this and you came back here, the average velocity would be zero, because you start and end at the same value of x, you get something; 0 divided by time will still be 0.
例如,如果你从这里开始运动,经过这个过程又回到这里,平均速度就是0,因为初态和末态的位移相同,你得到了什么呢,0除以时间还是0
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So I have n operations log n times, n log n there we go, n log n. Took us a long time to get there, but it's a nice algorithm to have.
所以我log，n遍的n次操作，就得到了,虽然花了不少时间得到了这个结论。
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If I gave you the location of a particle as a function of time, you can find the velocity by taking derivatives.
如果我给出物体的位移是时间的函数,你可以通过求导来得到速度
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But, you can see that he was thinking about this structure for all along.
但我们可以想象得到,他对这个结构的思考已经有很长一段时间了。
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I take the time and put it in the y equation and demand that the y I get, agrees with this y.
然后我把时间代入 y 的方程,令得到的 y 的表达式等于这一段的 y
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Because in doing that, Python would then have a value that it could pass on into some other part of a computation, and if it wasn't what I wanted, I might be a long ways downstream in the computation before I actually hit some result that makes no sense.
因为如果这样做的话，Python会将,输入的值传递到下面的,一些运算中去，如果这个值的类型不是我想要的，我可能会在得到,一个毫无意义的结果之前,经历一个很长时间的,计算过程。
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With this, if I can assume that accessing the i'th element of a list is constant, then you can't see that the rest of that analysis looks just like the log analysis I did before, and each step, no matter which branch I'm taking, I'm cutting the problem down in half.
读取数组中的第i个元素,是个常量时间的操作的话，我也就能像以前那样得到,这个算法是对数级复杂度的分析,并且每一步不管我选择哪个区间，我都可以把问题的规模缩小一半。
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if I say a particle's location is i times t^2 plus j times 9t^3, for every value of time, you can put the numbers in and you can find the velocity by just taking derivatives.
一个质点的位置,i ? t^2 + j ? 9t^3,在每一个时间点,你可以把数值代入,并通过求导得到速度
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Then, to find the meaning of b, we take one derivative of this, dx/dt, that's velocity as a function of time, and if you took the derivative of this guy, you will find as at+b. That's the velocity of the object.
接下来,为了弄清b的含义,我们取它的一阶导数,dx/dt,得到速度作为时间的函数,如果你对它求导的话,你会得到at+b,这就是物体的速度
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