And that's because that is a version of a divide and conquer algorithm.
这个想法非常重要,因为这就是分而治之算法的一个版本。
In fact, if that person has a 48 and the first person who had the weaker score has a 46, I could still pass the person with the 46, and fail the person with the 48.
事实上,如果这个人得了48分,而第一个人,得分低一点,是46分,我还是会让46分的人通过,而让48分的人挂科。
But, of course, we want to go all the way to distance, so we take the second derivative and we have this equation for force here.
当然我们最后想要的是距离,所以我们取二阶微,分就有这个式子。
If you've ever worked with a synthesizer: I think, is very simple terms here, what an electronic synthesizer does is play with these.
如果你们使用过合成器,这个词大家都明白意思吧,电子合成器就是用来处理这些分音的
So everyone in this field is trying to look ahead And decide even the strengths and weaknesses of Their organization what small subsets of the entire Range of possibilities should they pursue.
所以这个领域的每个人都试着向前看,根据自己机构的长处和弱点,来决定应该追求何种,小的分目标和可能性。
For the first half of the course, we've been engaged in metaphysics,broadly speaking.
这个课程的前半部分,我们广义地探讨了形而上学。
This part of the course had less technical apparatus than the first part of the course so it will concentrate on the middle third of the course up to this lecture.
这门课的这个部分比第一个部分的,技术器械少,所以它将着重于,今天下课之后这门课还剩三分之一。
And what this is, is that if you want to take the section in French, you should have about an equivalent of 130, and the discussion's in French and a couple of the books-- I'll talk about them in a minute-- you can read in French, the others you read in English.
这个就是说,你要是想用法语授课,你的法语得有130分左右的水平,课堂讨论是用法语还有一些书,我马上要说到那些书 你可以看法语版的,其他人可以看英语版的
Now, the nanosecond is what, 10 to the minus 9 seconds.
一纳秒就是10的9次方分之一秒,而这个电脑一秒可以做2G次运算。
London, already by the late sixteenth century, one-sixth of all the people, I think this is E.A. Wrigley who pointed this out a long time ago--one-sixth of all the people in England went to London frequently, because London was absolutely gigantic as a city.
伦敦,早在十六世纪后期,六分之一的人口,我想是E.A莱格力很久以前给出的这个数据,他指出,当时有六分之一的英国人,会经常去伦敦,因为伦敦当时是个巨型城市
And this whole note obviously can be subdivided into two half notes and each of the half notes into two quarter notes each of these quarter notes into two eighth notes, and so on.
这个全音符,很明显,可以再分为两个半音符,每个半音符又可以再细分为两个四分之一音符,每个四分之一音符可以再分为两个八分之一音符,等等
And then of course, the point of the skit is he presses the down button on the elevator and a minute and a half goes by while he's waiting for the elevator to come.
当然,这个滑稽短剧的笑点是,他按下了电梯按钮,花了一分半,等电梯。
Just as I foreshadowed, if you look at the difference between the first and third quartile in the bond market -these are active returns over a ten-year period again ending June 30,2005 -and the fixed income market, the difference between first and third quartile is a half a percent per annum.
如我之前所示,如果观察,债券市场中的第一和第三个四分位数,四分位数即统计学中,把所有数值由小到大排列并分成四等份三个分割点位置分别就是三个四分位数 考虑十年期的主动型的收益,截止于2005年6月30日,在债券这个固定收益市场,第一和第三个四分位数,每年只差0.5%
And if you look at this series, the series log of one, what is the series expansion?
如果你们看这个式子,它的对数分之一,它的指数是多少?
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