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Because we've now put in a bias suggesting that it should go up. Oops. It wouldn't have hurt it.
因为我们现在加入了一个,说明股市会增长的偏向值。
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So I haven't done magic, I've given you a really fast way to solve a knapsack problem, but it's still exponential deep down in its heart, in something.
所以我并没有施魔法，我已经告诉了你,一种快速解决背包问题的方法了,但是某些方面它的核心仍然是指数增长的。
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Because it represents foreigners investing in United States and that generates rates of return that effectively can generate that growth.
其实这和外国人在美国投资的道理是一样的,投资带来的收益，是由美国来埋单的,因而，实际上也同样导致了美国债务的增长。
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That's $1 more than it costs now in the market, so the options are worthless unless the price of the stock goes up.
这样每股就要比市场价多花费一美元,除非股票价格增长了,否则这个期权就是没有价值的
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True, true, so I guess one result of our neglect in Afganastan was that the insurgence network has grown by leaps and bounds.
是，是，我想我们对阿富汗的忽略的一个结果就是,暴动组织急速地增长了。
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One of the other things that happened during the twentieth century is that human life expectancy increased dramatically, people started living a lot longer.
在二十世纪发生的另一大变化是,人类的寿命预期显著增长了,人们活的更久了
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And the company grew 80%per year for the first eight years compounded, and 60 % per year for the six years after that, which adds up to tens of billions real quick, as you know.
公司保持百分之八十的年增长,持续了八年，这之后的六年，每年增长百分之六十，正如你们所知，在很短的,一段时间内赚了数百亿。
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Here's a slide that shows the projected increase in diabetes in the next twenty-five years.
这张幻灯片显示了,未来二十五年糖尿病患者数量增长的情况
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Because we underestimate the growth of exponential function.
因为我们低估了指数函数的增长。
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And you went ahead and worked with the Listening Exercises nine through eleven to engage the musical instruments a bit in those particular exercises, and we have performers here today that are going to, as you can see, demonstrate some of these instruments for us.
你们先前做过,听力练习九至十一题,在这些练习中,你们增长了对乐器的一些认识,今天我们请来了表演者,你们将看到,他们稍候,将为我们在这里演示一些乐器
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During the past 30 years, China maintained a very high growth rate in terms of GDP.
在过去的30年里，中国保持了极高的GDP增长率。
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Saying, well, the market on average will go up a little bit, or go down a little bit.
导致了股票价格的浮动值不同,基本上股市平均是向上增长的或是向下跌了。
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So halfway is the right thing to do, because at each step, I'm guaranteed to throw away at least half the list. Right? And that's nice.
一半以上的元素，对不对？，这很棒，好，大家猜猜这个算法的增长率是多少？,为什么？太对了。
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OK. At this point, if we stop, you'll think all algorithms are linear. This is really boring.
可能我们就认为所有的解决这个问题的，算法都是线性增长的了，真很没意思,但是他们真不是对不对？
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And you really, wherever possible, want to avoid that exponential algorithm, because that's really deadly. Yes.
比你的电脑的性能增长的快多了，并且大家无论何时，都要避免去用指数级的函数。
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All right. Nonetheless, even with this change, what's the order growth for bubble sort?
好的，不管怎么样，尽管这发生了，冒泡排序的增长率是多少呢？
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And it speaks to what I said is my concern that Child Main Nutrition decrease by only 1 percentage point while economy cotinues to...grow -I see.
这也是我提过的我所关心的问题,经济还在高速增长的同时,儿童营养满足率,却掉了1个百分点，-我知道。
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The return, of course, in any given time period is the percentage increase in the portfolio; or, it could be a negative number, it could be a decrease.
当然了，收益率是一定时间内,投资组合的增长率;,也可能是一个负数，表示负增长。
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Well...inequalities are growing in India and the poor of course benefit when there is high growth becasue their incomes rise but inequalities also rise.
嗯，印度的不平等现象还在加剧,当经济高速增长时,穷人也能受益,因为他们的收入增长了,但同时分配不公的现象也增多了。
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Let's suppose n is 1000, and we're running at nanosecond speed.
假入我们一秒钟运算十亿次，我们已经看过了对数级，线性增长的。
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And those things taken together have pushed the growth rate by couple of percentage points beyond what India's trade growth rate has been in the last 25 years.
所有因素综合起来,大大促进了印度经济的发展,使印度的贸易增长额,较过去的25年,有了显著增长。
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It gives foods a longer shelf life, and so things like pastries and individual wrapped packages have a very long shelf life, longer than if they don't have Trans fats.
它增长了食物的保质期,让糕点和独立包装的食品等能存放很久,比不含反式脂肪的食品存放时间长
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The expected life spans increased dramatically in the last couple of hundred years until now, for people that were born when you were born you can expect to live to be 80 years old, a doubling in life span, fairly dramatic.
从几百年前到现在,预期寿命显著增长了,你们同期出生的那批人,能够活到八十岁,预期寿命增长了一倍,令人印象深刻
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Some spending has gone up a little bit as a proportion of GDP ... But it worked. It did work. You cut the taxes... But it then fell apart in 2001.
尽管有些支出，按GDP的比例有过小幅增长,但毕竟奏效了，事实摆在那里，先减税。,但好景不长，到2001年就不行了。
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