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Irving Fisher then told that story as an illustration of how poorly the understanding was of what was going on.
欧文？费雪之后讲述了这个故事，以此,来阐述人们对发生的事情,了解得到底有多少。
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I don't know quite how Alex managed it but that's what they say, but the principle is established.
我不太清楚亚历山大是怎么塞到枕头底下去的,但他们确实是这么说的,准则就是由此建立的
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Need to get the base in. Second thing I want to do, I need to get the height, so I'm going to input a value for the height, also as a float, a floating point.
也就是输入底的值，第二件我想要做的，事情就是得到三角形的高,因此我会输入一个值作为三角形的高，同样也是一个浮点数。
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This is somewhat of a artist's rendition, but they're at the very bottom of my RAM.
这个是有点表演艺术的，但是它们在我内存的底端。
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Well,I think one of the questions --the question is how can you successfully invest in a market where,I guess, people say you might catch a falling knife.
其中一个问题,提问是,怎么能够成功地,投资于一个,有所谓抄底行情的市场
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But of course, if you were a simple perceptual creature, you would just see that there'd be a bar on top and a bar on the bottom.
如果你只是个拥有感知的简单生物,你只会看到在顶端和底端分别有一根木杆
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Big recessions have ended in November 1982, just a little more than 25 years ago, and since then the policy of getting inflation down And it's also not just the United States.
较严重的在1982年11月已触底回升，也就是25年前不久，从那开始，政策就一直维持了低通胀,不仅仅是美国。
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His first book was a translation of Thucydides' History of the Peloponnesian War, which he completed in 1629; Thucydides, the great historian of the Peloponnesian War, who we mentioned before when we talked about Plato.
他第一本书是对',修昔底斯《伯罗奔尼撒战争》的译著，这本书于1629年完成;,修昔底斯，伯罗奔尼撒战争中伟大的历史学家，这个人在我们之前讨论柏拉图时提到过。
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He survived the Battle of the Wilderness, the Battle of Spotsylvania Court House, the Battle of Cold Harbor, the entire Siege of Petersburg from August of '64 all the way until the end of March of 1865.
他在荒地战役中存活了下来,经历了波特瑟尔韦尼亚县府战役,和冷港战役,从1864年8月的彼得斯堡包围战,直到1865年五月底
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So, the Commune begins on the 18th of March, 1871, and it lasts until the end of May, 1871. Lenin once called it the "Festival of the Oppressed"; and Lenin was wrong about many things, he was right about a few things but wrong about many, but he got that one right.
由此,巴黎公社在一八七一年三月十八日成立,并于同年的五月底被政府所瓦解,列宁将这段时间称为"受压迫者的庆典",列宁做错过不少事情,他做对的事情寥寥无几,但对于巴黎公社的评价是正确的
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Now, this is not the nicest way to do it but it'll work. I can look at the type of the value of base and compare it to the type of an actual float and see, are they the same?
这不是最好的办法但它确实有用,我可以得到底的值的类型然后,和一个真的浮点数的类型比比,看他们是不是一样？
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And, in fact, it kind of looks like a function, and yet here's a semicolon I just said that can get you into trouble, and yet that's not actually a function, because there's no interesting lines of code, because it turns out the interesting code is down here at the bottom.
实际上，它有点像一个函数，并且这里有一个能够使你陷入麻烦当中的分号,那个事实上也不是一个函数，因为这里没有有用的代码，因为,有用的代码都在底端。
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So, in fact, as Thucydides tells us beautifully in Book V, when the two armies actually hit each other they have already made a slight turn to the right.
因此,事实上,像修西得底斯在第五册里优雅描述的那样,当两军真正开始接触时,他们已经略微向右转了
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Finally, Thebes, the greatest city in Boeotia, also does not colonize.
最后,底比斯,皮奥夏地区最伟大的城市,也未殖民
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But mathematically, we've mentioned this before, log N or really to be precise, log base 2 of N, is the way you express this mathematically.
但从数学上说，之前我们已经提到过了，准确地说是log，N，以2为底N的对数，这就是它在数学上的表示。
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Well, memory is this rectangle, by default, they're located at the bottom.
好的，内存是这个长方形，默认的，它们位于底端。
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You can tell if a pot comes from Athens or it comes from Pylos, or-- not Pylos it was probably out of business-- Thebes or someplace else because they have their local characteristics which are perfectly obvious.
你可以从一个罐子辨认出它是来自雅典,或者皮洛斯,或者--,不会是皮洛斯,它已经衰亡了--,底比斯或是一些其他的地方,因为它们都留有当地的风格,这些风格很明显地表现了出来
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So if I were to solve this problem, here's the way I would do it. I would say, first thing I want to do, is I want to input a value for the base as a float.
如果我想要解决这个问题，这就是我要解决它的方式了，第一件我要做的事情就是要,输入一个浮点数作为三角形的底。
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Well, the most famous early on, King Croesus of Lydia, the richest man in the world,you've heard all about him, decides it would be a nice thing to conquer the Persian Empire, his neighbor to the east.
最著名的就是吕底亚的克洛伊索斯国王,之前已经讲过,他是世上最富有的人,他觉得征服他东方的邻居,波斯帝国,是一个不错的事
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He said, "If I cross the Halys River, that's the boundary between Lydia and Persia, what will happen?" The oracle replied, "A great empire will be destroyed," And Croesus said, "Terrific that's what I have in mind."
如果我跨过了哈吕斯河,那是吕底亚和波斯的分界线,会有什么后果,神谕回答说,一个伟大的帝国将被摧毁,于是克洛伊索斯说,太棒了,正如我愿
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N 6 Sixteen, so that's 16 times log base 2 of 16 and though I'm writing small here, log base 2 of 16, 16 this gives me 4 'cause 2 to the 4 equals 16.
是多少呢？，Well，，N，is，what？,16，那就是16乘以以2为底16的对数6,在这儿我将2写小一些，以2为底16的对数是4，因为2^4等于。
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Yeah. You're jumping slightly ahead of me, but basically, I'm done when this is equal to 1 right? Because I get down to the base case, so I'm done when b u is over 2 to the k is equal to 1, and you're absolutely right, that's when k is log base 2 of b.
因为这就是最基本的情况了，因此当b/2的k次方等于1的时候就停止了1,你说的太对了，就是k等于b的以2为底的对数的时候,你们都坐的挺靠后的啊，我不知道是不是我讲的不太明白？
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And, again, the rectangle represents your computer's RAM, the bottom represents the part of RAM that we generally call the stack, main conceptually ends up on the bottom of the stack followed foo by its local variables then the function say foo that it calls and on and on and on and up, but there is, in fact, something above all of this and we've seen this picture briefly and that's this thing called the heap.
再次，矩形表示的是计算机内存，底端表示内存的一部分,通常我们把它叫做堆栈，main函数在,堆栈的底端，之后是,它的局部变量，然后是它调用的函数,等等等等，但是那里有，实际上，在这个上面，我们粗略看看这个图画,这个东西叫做堆。
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