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Situation number two is I take the same number, and I make a row. They are all in one row.
状态二我将采用同样的数字，并且我做了一个箭头，它们全部都在一列上。
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Well, if we actually want to represent something like the number 7, well in binary, not actually in decimal like this.
如果你表达,类似于7的数字，在二进制中，它和十进制可不太一样。
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This is Young-Hae Chang Heavy Industries, which is a collaboration of an American man and a Korean woman who create online digital artworks.
这个是由，张海英重工业，制作的，这是一个美国人和,一个韩国女人一起合作的在线数字艺术的组合。
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So we've seen one example of this, this idea of walking through all the integers looking for the square root.
现在计算机速度很快了，我可以把这个数字设的更大点,计算机会去很快的做这个事情。
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You can see that I'm saying about fifteen-- fifteen times earnings is typical, but we're in a high price-to-earnings scenario now.
你可以看出我提到的15这个数字,收益的15倍是最有代表性的,但我们现在正处于一个高市盈率的时期
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So also, along those lines in terms of test taking, make sure you also box your answers and that you keep track of significant figures and that you also remember to include your units.
另外，既然提到了答题要求，我想提醒大家考试的时候务必标出自己的答案,保持有效数字的一致性,并且记得带上单位。
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We used iterative deletion in a relatively abstract setting, or not abstract, rather a play setting last time in which were choosing numbers.
我们在相对抽象的背景下探讨迭代剔除,其实也没那么抽象,比如上一讲,我们做的选数字的游戏
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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
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And we certainly don't think that in fact most of us are in the position to actually crank out any kind of accurate number.
我们当然不会认为,多数人都能,得出更准确的数字。
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H2 The label above this figure refers to H2.
这个数字上的符号是。
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There's a precise connection between the numbers you use and the numbers I use.
你使用的数字和我所使用的数字,有着确定的关系
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This was a huge number for me up until 2 weeks ago Besides the 100 billion neurons in the brain . there are 12-15 thousand cochlear hair cells.
直到两周前，这对我来说还是个庞大的数字,除了这一兆亿个神经元外,还有12，000到15，000个毛细胞。
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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。
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So a bit of uninteresting math, a bit of focus on sizes of types, but any questions on syntax or concepts thus far before we now put this to the test?
一些比较无趣的数字，一些关于类型的大小,在我们现在进行试验之前,你们对这其中的语法或概念有什么问题吗？
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For instance in the past, we had that silly little program for computing the average of some quizzes and it was actually a pretty bad implementation because I had essentially hard coded in the number of quizzes.
比如在以前，我们做了一个,计算平均数的程序,这是一个相当挫的实现,因为我硬编码了测试的数字。
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The easy thing to do would be the following: start at the front end of the list, check the first element. If it's the thing I'm looking for, I'm done. It's there. If not, move on to the next element. And keep doing that.
从数组的第一个元素开始：,如果这是目标元素那么结束,如果不是的话就继续比较下面的元素，并一直这么比较下去,但如果，在某一点我发现我要寻找的数字。
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Another way to say that it's going to be less, so you don't get confused with that the fact this is in the numerator here, there is that negative sign so it's less energy but it's a bigger negative number that gives us that less energy there.
另一个方式去说它将会变得很低实用，你们不用在这里的计算器的事实感到迷惑,这里有一个负号实用，它是更少的能量,但它是一个更大的数字,这里了它给了我们更少的能量。
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And if you don't put a point but just put a number, this specifies the width of space that will be used by the number you're inserting there.
如果你不用点而只用数字，这个指定的长度是由,你插入的数字决定的。
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Just two, I touched 6 once and then I moved ahead, and then I touched 8 and I moved ahead, not touching any other number.
只有2次，我先将6移了下来，然后将8移了下来，并没有动其他的数字。
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It is an impressive number, it is very, very large, but it doesn't make a difference.
这只是一个令人印象深刻的数字，它非常非常大，但是没有区别。
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In binary search-- ah, there's that wonderful phrase, this is called a version of binary search just like you saw bin-- or bi-section methods, - when we were doing numerical things- in binary search, I need to keep track of the starting point and the ending point of the list I'm looking at.
就是当我们处理数字的时候，所称的二分检索，在二分法搜索中,我需要记录区间的开始点和尾点，初始化的时候就是-,问题输入的开始点和尾点，当我开始做测试的时候,我想要做的就是去取中值点。
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It is always a number that lies between zero and one, or between 0% and 100%.
概率一定是一个在0和1之间的数字,或者说0%和100%之间
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When we say that 2 + 2 = 4 or 2 + 3 = 5, we're saying something about numbers that our mind is able to grasp.
当我们说2+2=4或2+3=5时,我们是在讨论心灵可以掌握的数字
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Cannot we get simple numbers like three and seven?
我们能不能得到简单的数字比如三和七？
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How many of you, excluding the people who chose 1 last time, how many of you chose a number that was lower than the number you chose last time?
出了上次选1的人,多少人选了比你,上次选择的数还低的数字
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How many of you chose a number higher than 20?
多少人选了大于20的数字
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And, it's a very high number.
它是一个很大的数字。
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I don't happen to like this, but he thinks that is, give a combination of a number multiplication in a string, this will in fact give us back a new string with that many replicas, if you like, of the string concatenated together.
我不喜欢这么做但是他认为,也就是说，返回一个字符串的,某个特定数字的倍数，这实际上会返回一个新字符串,一个原来的字符串的很多复制品，连接到一块的一个字符串。
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It's a secret number so that if Julius Caesar scrambled his message with the key 13, well, then the recipient had better know what that number is or realistically, -- and this is why it's kind of hard to buy -- into some of these age old algorithms, -- what would an alternative approach be to figuring out Julius Caesar's messages to his generals if he didn't know that secret number was 13?
它是一个机密的数字，以至于,如果凯撒大帝使用密钥13加密了它的消息，然后接收者最好知道那个数字是什么,实际上--这就是为什么很难,破解这些古老的算法-,有什么变换方法使凯撒大帝的将军,可以解密凯撒大帝的消息，如果他不知道,那个机密数字是13呢？
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