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So now I've got this gamma placed in there, -1 gamma minus 1, so I've ben feeling a little bit better.
这样我把这里的指数，换成γ,这样看起来舒服一些。
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Now Isaac Newton and/or Joseph Raphson figured out how to do this kind of thing for all differentiable functions.
既然牛顿和拉复生已经,指数了如何解这种可导函数,因此我们就不用太担心了。
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You know, Baidu was founded at the beginning of 2000, and quickly NASDAQ reached its historical high of 5,000.
百度成立于2000年初，不久，纳斯达克指数创下5000点的新高。
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And, if we do so, we can actually get a handle on that Born exponent by solving the equation.
如果我们这样做，我们实际上能够得到波恩指数,通过解这个方程得到。
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Now we talked before about a diet that would follow the glycemic index, that's another pretty helpful method to follow.
我们之前还谈论过,基于血糖指数的饮食法,那是另一种健康饮食法之一
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% Alright. The Fed fund's rate is now at 3 percent, 12,500 the Dow Jones Industrial Average at about 12,500.
好吧，目前美联储的基金利率为，而道琼斯工业平均指数大约在。
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I managed to find price indexes for Norway and Netherlands going back to 1890 and compared that with the U.S.
我找到了挪威和荷兰1890年的,价格指数数据,和当时的美国作比较
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So let's understand: what is the nature of exponential function so that we can understand the power of one?
让我们先理解指数函数的本质,以便理解“一“的力量？
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We take this Cv and put in the exponent here R right. And we put this R up in the exponent here.
我们把这个Cv提出来,放在这里的指数上，好吧？然后把。
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This is an example of an exponential growth process and you're familiar with processes like these.
这是一个指数增长的过程,你们应该都很熟悉的
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Don't be intimidated. Even though it is apparently exponential, a lot of times you can actually solve it much, much faster.
别怕，即使它,很明显是指数型的，很多时候,你都能更快的解决它。
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And so when we say something is exponential, we're talking about in terms of the number of bits required to represent it.
所以当我们说某些东西，是指数增长的我们指的,就是代表它的比特数。
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And Born worked on a number of things, including the Born exponent, and taught himself crystallography sort of as something to do during World War I.
玻恩也做出了许多贡献，包括玻恩指数，他自学结晶学,这大约是在一战期间。
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So if you think about the way something like, say, Mapquest works, and last week in recitation you looked at the fact that shortest path is exponential.
所以如果你想想电子地图，还有上周学的列举法,你就会发现一般最简单的方法,都是指数递增的。
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If one follows a diet that would be derived from the glycemic index; you're likely to have a pretty healthy diet.
如果一个人遵循基于血糖指数的饮食计划,你会得到一个相当健康的饮食
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But the word white shows up a lot in the high glycemic index foods -white rice, white spaghetti, white bread.
但是白色这个词会在,许多高血糖指数的食物中出现,白米,白面条,白面包
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Give me a whole number for the Fed fund's rate ? and the nearest thousand for the Dow Jones. Ken?
美联储基金利率说整数,道琼斯指数精确到千位，肯？
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And it's just gathering together the multiplications while counting down the exponent. And you can see it when we get down to the end test here, we're going to pop out of there and we're going to return the answer.
这个方法就是通过乘法,来一个一个的减小指数,可以看到,最后面的结果测试，我们会在这里退出,然后返回答案。
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You see the difference in electronegativity, square it, multiply it by one-quarter and raise that to the power e.
你看到了电负性的差异，开方，乘以四分之一,在移到e上去做指数。
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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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If you wanted to have a real frame, then you would index to the consumer price index or some other inflation index.
如果你想以实物框架理念来看的话，你就得将消费物价指数或者,其它通胀指数考虑在内。
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Here's a pyramid that was established from the glycemic index, so this would be a little bit different version of the pyramid.
这个金字塔是基于血糖指数建立的,这个版本的食物金字塔有些许不同
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Or just have the good intentions without the effort that's necessary to bring about a positive exponential function.
还是只有好的意图但不付出,必要的努力发挥正面指数函数的作用。
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The yield-to-maturity on an indexed bond is already in real terms because the coupons are indexed to inflation.
这种债券的到期收益率,就是实际收益率,因为票息已经被通胀指数化了
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We have seen log, linear, quadratic, and exponential.
平方级的和指数级复杂度的方法，再说一遍，可能会有些常量。
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These are the only countries that I've been able to find that have high-quality, repeat sales price indexes going back a hundred years.
只有这三个国家,在100年前就已经出现,优质的重复销售价格指数
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Like you wouldn't expect bananas, for example, to be a high glycemic index food but it is.
比如,你可能不认为香蕉,是一种高血糖指数的食物,但它确实是
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Log? Linear? Exponential? Quadratic?
对数？线性？指数？平方？
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The red line is the Halifax Home Price Index for greater London we're talking UK now.
红色线表示的是哈里法克斯伦敦住宅价格指数,现在说到了英国
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And in fact, if you look at the top figure it looks as exponential or, quadratic isn't even growing at all.
它看上去是指数型的,而幂次型的看上去,根本没有增长。
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