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With the computer today, you can, for the most part, not represent every possible number that mankind can think of.
在当今世界，大多数情况下，并不是要把每个数字,都精确表示出来。
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Yeah. So pretty much everything is numbers in terms of classes and courses.
所以，几乎所有的事情，包括课程，都是用数字表示的。
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But we know already from week zero that computers ultimately represent all information with numbers, and if they want to represent letters inside memory, well what do they do or what do they use?
但是自从上周我们已经知道,计算机最终是用数字来表示所有的,信息，如果它们要描绘,在内存中的字母，它们该怎么做，用什么方式呢？
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So what we're going to do is we're going to look at some numbers that are approximately the probabilities of scoring when you kick the penalty kick in different directions.
接下来,我们来用数字表示,在不同角度踢点球射门,能够得分的概率
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We were talking about the subdivision of that pulse, the organizing of that pulse into meters, and that we had this capacity to indicate what the meter was by these numbers: two-four, and three-four for duple and triple meter.
我们还讲到律动的进一步划分,将律动组织成拍子,与此同时我们能够用一些数字,来表示不同的拍子,比如,用二四拍和三四拍表示二拍子和三拍子
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So this is the percent error and what you see here is that if the number is below the zero line it means people underestimated the calories, and the bars that go above means people overestimated the calories.
这是百分比误差,你们看,如果数字低于零,这表示人们低估了卡路里,高于零表示人们高估了卡路里
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You can either think of it as an arrow and imagine the arrow, or you can reduce it to a pair of numbers, x and y.
你既可以用有向线段来表示,也可以用一组数字来表示,x 和 y
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and if the bits represent one here, 1 those exact same bits are going to represent one here.
如果这个二进制数字在这里表示，这些相同的二进制也将表示。
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It's just a little block of memory in RAM, you know, that represents four bytes, 32-bits and the Number Two is currently in it.
它只是一小块内存块，它表示4个字节，32位,那个数字2就存储在里面。
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It's just reminiscent of a previous program 9 9 9 or a previous function the number 9, 9, 9 so what does that really mean?
它提醒之前的程序,或者之前的函数，那个数字，那其实表示的是什么呢？
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So the strategy choices, we're not going to do it in hours, let's just normalize and regard these choices as living in 0 to 4, and you can choose any number of hours between 0 and 4.
我们用小时数来表示策略吧,用0到4的数字来标记这些策略,你可以从0到4中任选工作的小时数
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And a bit, B-I-T, just a shorthand for binary digit, 2 so a digit of zero over a one, bi means two, you only have two digits.
比特，B-I-T，是binary，digit的简写，从0到1的数字，而bi表示，所以你就只有两个数字。
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They're completely inconsequential 7 and so we now have the number 7.
它们完全无关紧要,现在我们表示出了数字。
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Basically if you have a number that's P in this case, than the number is lower then that shows increasing level of statistical significance.
基本上如果P,这幅图里的数比0.05更小,数字越小,表示统计学显著性越大
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So, for the most part any time we talk about or draw pointers an arrow suffices, which really 71 in there is a number like 71, which is the literal byte that the F is actually in in RAM, but frankly who cares?
所以，每次我们讨论,或者用箭头表示指针,在指针里面有一个数字，如,那是F在RAM中的字节，但是谁在乎它呢？
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This might look a little cryptic at first, but it turns there is some very obvious patterns here, for instance. According to this chart, if you want to represent the letter A A in the so called ASCII system, what number do you actually use to do so?
起初，它看起来有点神秘，但你会发现它有一些明显的对应模式，这里就有例子，根据图表，在所谓的ASCII系统中,你想表示字母，你该用哪些数字呢？
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And this is a little different from what happened ten or so years ago, but the so-called Y2K problem was essentially the result of programmers not really having the foresight to realize, "Maybe we shouldn't use so few bits or so few digits to represent a year because eventually this will be a problem."
这个跟10年前发生的事情有点不一样,那个所谓的“Y2K“问题,本质上的结果是,程序员没有真实地预见和认识到，“可能我们没必要用到这些位数或数字,来表示一年，但是最终这个将会,是个问题“
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