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Some of you know the story. So the inventor of the chess game.
有些人可能知道這個故事 象棋游戲的發(fā)明人
He was in India, and went to the local king. The king was very impressed with the game and said.
他在印度 去見當?shù)氐膰?國王很喜歡這個游戲并說
How can I reward you? And the chess player said, No, it' OK really.
我要如何獎賞你? 象棋發(fā)明者說 不必 真得不用獎賞
The king said, No. I want to reward you. How can I rewards you.
國王說不 我想獎賞你 我要怎樣獎賞你?
So the chess inventor of the chess game said, Ok. What I like is on the first block.
于是象棋發(fā)明者說 好吧 我希望
First square, I would like one grain of rice.
在第一個方格上 我想要一粒大米
On the second, I'd like two grains of rice. On the third, four grains of rice and so on and so on.
在第二個方格上 我想要兩粒大米 第三個方格四粒大米 以此類推
That's my request. And the king said, Are you sure that's all you want.
那就是我的要求 國王問你確定只想要那么多?
I'm prepared to give you a lot. This is a wonderful game.
我可以給你更多獎賞 這是一個很好玩的游戲
And the inventor said, Yes. So the king told his assistant to go and get the man.
發(fā)明人說我確定 國王指示助手
Give the man his wish. When they started to calculate.
去實現(xiàn)他的愿望 當他們開始計算
How much rice would be need to fill up all blocks, all the way to 2 to the power 63.
需要多少粒米填滿所有方格時 從第二格到第63格
They realized that the rice could fill up the entire world with a thick layer.
他們發(fā)現(xiàn)米粒 能厚厚地覆蓋全世界
Again, misleading fail to understand it because we don't understand.
再一次 誤導...... 沒有理解指數(shù)函數(shù) 因為我們不理解
The nature of exponential change. Another last one.
指數(shù)變化的本質(zhì) 最后一個例子
So how many time do you think you all have a piece of paper in front you.
你們認為需要折多少次 你們面前都有一張紙
