-
Fast forward mid-semester when we talk about cryptography and scrambling information, we need the ability to express ourselves in words, not just numbers, and we have that already.
回想一下期中的时候，我们讨论过密码学,和一些不规则信息,我们需要话语来表达自己，而不是数字，其实我们已经有了。
-
instead of just like being able to get the numbers right.
而不只是把数算对了。
-
We have to add it all up so it's not just numbers, three against one; it's also all of those people at home.
得把这些加起来考虑,所以就不只是这个数字，三比一;,还要加上这三人的家人。
-
So, how do you go from just numbers, zeros and ones to actually useful information?
那么，你该怎样由这些数字0和,1来表述有用信息？
-
All right. So let's look at some of these wave functions and make sure that we know how to name all of them in terms of orbitals and not just in terms of their numbers.
好，让我们来看一下,这些波函数,并确定我们都知道,怎么用轨道,而不仅是量子数来命名它们,一旦我们可以命名它们。
-
We handed out again the game with the numbers, but just in case, let me just read out the game you played.
再来介绍一下这个数字游戏,但是以防万一,我来介绍下游戏规则
-
Just to get you oriented, this is energy decreasing from zero to progressively negative numbers.
只是为了让你们多了解些这方面的东西，在这里能量,从0开始逐渐递减到负数。
-
But notice now, those aren't just simple things like numbers, those are actually points.
但是现在请注意，这并不是像数字一样，的简单类型了。
-
It's just like if you restrict me to only a subset of numbers, only the odd numbers, still there's an infinity of odd numbers.
这就像,如果你把我限制在数字的子集,只是奇数,但奇数的数量却仍然是无限多的
-
So just write it down, and I'll give you the numbers in just a second.
先写下来,我等会给你们答案
-
That's what I'm going to emphasize, more than just plugging in the numbers.
所以我一直强调,它不仅仅是代数字这么简单
-
So are Deuteronomy's legal traditions a direct response to or modification of the laws in Exodus and Numbers, or are they best understood as just different, independent formulations of a common legal tradition?
那么申命记中的律法是对出埃及和民数记中,律法的直接回应，或者它们最好被理解为,一种不同的，独立的对一般律法的,表现形式？
-
Compound that 13.4% over ten years and there's just an enormous gap between those mutual fund numbers that are in the prospectus and in the advertisement--the time-weighted returns and the dollar-weighted returns that talk about the actual experience of the investment community.
按13.4%复利算一下10年期的结果,你会发现在招股说明书和广告里给出的,用来反映投资机构实际业绩水平的,时间加权回报率,和货币加权回报率数字之间,有着巨大的差异
-
So if you need more--bigger numbers, you just have a 16's column and a 32's column, and so forth.
所以，你需要有一个更大的数字，就采用16位，32位等等。
-
But let's just count in terms of the numbers I'm touching 'cause that'll be useful in just a moment.
我明确地数了所动过的,数字，等会儿这个,可能有用。
-
Well, notice again, on each level of the tree, when I actually do the merging, so this remember, is when I wrote down just the numbers when I bottomed out with the list of size 1.
请注意，在这棵树中的每一层，我真正做合并时，就将每个大小为1的列表中的,数字写下来。
-
So let's just plug in these numbers here.
让我们把这些数字代入进去。
-
Well it turns out a bunch of years ago people just decided that if we have the ability to express numbers and we actually care about expressing letters of the alphabet, well we just need some kind of mapping between one and the other, ASCII and so thus was born what's generally called the ASCII.
结果证实，数年前,人们觉得如果我们,有数字表达能力,而我们真正在乎其实是字符的表达，那么我们就需要数字和字符的某种对应关系，于是就有了俗称的。
-
We just keep a pair of numbers.
只保留一组系数
-
So just to show you how big a difference it makes, let's run a couple of numbers.
让我们试试一组数字吧,如果n是1000的话。
-
You can specify numbers before d just as you can specify numbers before f.
你可以在d之前指定一个数字,你也可以在f之前制定一个数字。
-
They want to represent letters and not just numbers.
它们想描绘字母而不只是数字。
-
That's the picture we just had, except I've changed the numbers a bit.
除了坐标变了,其它的和以前一样
-
Is it government's responsibility to correct this or do people just need to buck up and change their lives in a way that turns these numbers around?
纠正这些行为是政府的责任,还是只需人们行动起来,改变自己的生活方式,来挽回这些数字代表的趋势
-
These numbers are so low they could be dismissed as people filling in the wrong things or making jokes or just being confused compared to-- stunningly superstitious high rankings.
这些比例低到,可以把它们当成人们填错表格,或者开玩笑，或者看不懂题目造成的误差,相比于…,那些高得吓人的比例。
-
It's just that the numbers outweigh the minority.
只不过，多数在数量上胜过少数。
应用推荐