Within 20 degrees of separation from you initial smile to the three people, the entire world will be smiling.
只需要20度的分隔,从你用笑容感染三个人开始,全世界就会笑起来。
You could use a "who" question to find out where the problem began.
你可以用“who”问句来找出问题从哪里开始。
In other words, my belief-- and I am going to back that up with research today and for the next semester-- is human nature is fixed.
换言之,那是我相信的观点-,我会用三个研究加以证明,从今天开始,直到下个学期-,人类本性是固有的。
The reason in our radial probability distributions we start -- the reason, if you look at the zero point on the radius that we start at zero is because we're multiplying the probability density by some volume, and when we're not anywhere 0 from the nucleus, that volume is defined as zero.
在径向概率密度里,我们开始,如果你们看半径的零点,我们从零点开始,因为我们用概率密,度乘以体积,而当我们,在离核子很近的地方,体积是,所以我们会在这里。
And for Problem Set 0, too, those of you might think Scratch kind of imploding since I was 6, well then we'll hand you some of these little logic boards which are a variety of real world sensors you can connect to your Mac or PC and push yourself a little further with interactions, with the real world.
对于习题集0也是如此,有些人可能认为从我6岁开始就不怎么用Scaratch了,那么我给你一些小的逻辑板,它们就是各种各样的真实世界的感应器,你可以用它们来连接到你的手机或电脑上去,和现实世界做进一步的互动。
And what it's saying semantically is, using that variable as my placeholder, have it walk through this collection, starting at the first thing, execute that code, then the next thing, execute that code, and so on.
它的语义意思就是,把这个变量应用为我的占位符,用它来遍历这个集合,从第一个元素开始,执行代码,然后下一个元素,再执行代码。
It says find the midpoint, which says, last take the start, which is pointing to that place and add it to start. And that basically, somewhere about here, gives me the midpoint.
先找到中点,从起点开始,指向这个位置,用first减去,加上得到偏移量),大概在这里,我们找到了终点。
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