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。
I'm worried that the fast food might make you sick.
我担心吃快餐会把你身体弄垮。
I mean, you grew up in an age when computers were blazingly fast, and have tons of memory, so why in the world do you care about efficiency?
我的意思是你们是伴随着,计算机快速发展成长的,计算机都有这么大的内存,那还在乎效率干嘛呢?
I want to share some of that with you so you can fast forward and get the understanding that took me much longer to get.
我想和你们分享一下心得,这样你们就能更快地进步,并理解我当初花了很久才理解的东西
For example, if you're talking about the chalk--if I throw the chalk, you will have to know where it is and how fast it's moving.
比如说,这支粉笔,如果我扔出这支粉笔,你就像知道它的位置和速度
If you want to know how fast it's moving at a given time, if you want to know the velocity, I just take the derivative of this answer, which is 10-10t.
如果你想知道它在给定时刻的运动有多快,如果你想知道它的速度,我只要对这个式子求导,得到10-10t
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