You probably don't think of it that way because you say, wait a minute, the computer wasn't invented until the 1940s.
你们可能不那么想,你们会说,等等,电脑不是直到,上世纪四十年代才发明出来的吗。
But it's by no means the norm. It's actually, probably I'm a bit unusual like that
但是那绝对不是规范的。事实上,可能我有一点不太平常的是,
If he's not one but not the other,and if he's not both, the only other possibility is that he's neither.
如果他不是非此即彼,如果他不同时是两者,那么剩下的可能性就是,他两者都不是。
Because it says, your program will still give you a value, but it may not be what you intended, and you can't always tell, and that may propagate it's way down through a whole bunch of other computations before it causes some catastrophic failure.
因为这意味着,你的程序依然会返回一个值,但是这个值可能不是你想要的,你可能还分辨不出来,而且这种情况会传播,结果会沿着正果计算过程传播下去,直到产生一个灾难性的错误。
I don't know if you can see, probably not, what's written on here, so let me point out to you a few things.
我不知道大家是否知道,这很可能不是其中的一种,那么让我来为大家指出一些事实。
- Well-- -- I'm-- maybe-- I'm sorry, maybe-- -- No, no, no, no. I-- I think-- -- That's not a-- I-- I think the Bubble Sort would be the wrong way to go.
笑声】,嗯-,我,很抱歉,可能是-,不,不……,我觉得-,那不是-,我觉得冒泡排序应该不是正确的方法。
What I mean by this is it's possible, of course, to be afraid of a person, but unlike an emotion like gratitude, it's not intrinsically social.
我这么说是想表明这是可能得,当然,人害怕时,不像感激时,不是社会固有的。
It's not impossible but it's pretty unlikely.
不是完全不可能,只是可能性很低
They're spending money on concrete, and bricks, and machinery, and they could be doing that wisely or unwisely and that's beyond finance to evaluate.
他们花钱买混凝土,砖块和机器,这个决策可能明智也可能不明智,但这不是金融学的讨论范畴
I bet there are people in this room who know the lyrics to over 1,000 songs, NBA know the number of every individual in the National Basketball Association, so I think that learning some subset of elements is not unreasonable.
我敢打赌这个房间里有那么些人,他们能记得住超过1000首歌的歌词,记得住,每个人的号码,因此我认为,能记住这些元素也不是不可能的。
Good, so even if everyone in the number-- everyone in the room didn't choose randomly but they all chose a 100, a very unlikely circumstance, but even if everyone had chosen 100, the highest, the average, sorry, the highest two-thirds of the average could possibly be is 66 2/3, hence 67 would be a pretty good choice in that case.
好的,如果每个人,教室里的每个人不是随机选择数字,而是全选了100,这好像不太可能,但如果每个人真的都选了100,就是最大的书,那平均数,抱歉,平均数的2/3会是66又2/3,此情况下67应该是个不错的选项
it's not as good as helping debug, sorry, that's the wrong way of saying it's not as good at catching some things before you run them, it is easier at some times in debugging as you go along on the fly.
它在帮助我们调试方面可能不是太优秀,对不起,这么说有点不正确,它在运行前捕捉错误,可能不是那么优秀,可能边运行边调试,会更容易一些。
Still, I take it--I gather--here's what I'm told-- that the standard interpretation of quantum mechanics says that, despite what many of us might've otherwise believed, the fundamental laws of physics are not, in fact, deterministic.
别人告诉了我这么一个例子,量子力学的正统理论认为,尽管有很多人可能不相信,物理学的基本定律事实上也不是确定性的
But it's not impossible.
但这不是不可能的。
Now in fact, this may come as a surprise to you, I don't have ESP, I'm not a character out of the X-Men, so you can't actually see brain waves emitting from my head, and my reasoning doesn't affect your reasoning.
事实上,这绝对是不可能的,我没有超能力,我也不是X-Men,所以你根本看不到我大脑发出的脑波,我的推理不会影响到你
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