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则将f在A上的(广义)积分定义为当D遍历A的所有可求积子集
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并且 M 是它的开子集 M1,...,Mn 以及子集 K 的不交并,其中 K 是 M 中的一个零测集
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the bias of the 1-nearest-neighbor estimate is often low, but the variance is high.
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对每一门学科我们都必须仔细地去区分理论的三个方面:(a)形式逻辑的内容;(b)直观的背景;(c)应用。不按这三方面之间的固有关系去考虑这三方面,就不能正确估计其全部结构的特性和优点。
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The point here is that normality comes from sums of "small" (finite variance), independent disturbances.
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Numbers in mathematics are like time in physics: everyone knows what they are, and only experts find them hard to understand.
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And in fact, the concept of the set of all sets, for example, is simply contradictory.
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And in fact, the concept of the set of all sets, for example, is simply contradictory.
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Numbers in mathematics are like time in physics: everyone knows what they are, and only experts find them hard to understand.
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> Ещё многое имею сказать вам, но вы теперь не можете вместить. Евангелие от Иоанна, 16:12
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通过证明我们可以爬到提子的最底一级(基础),并能从一个阶梯爬到上一个阶梯(递归),数学归纳法就证明了:我们可以在一架梯子上想爬多高就爬多高。
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伽罗瓦在决斗中受伤,并因此身亡。他一心想要参加的是政治革命,然而实际上所引发的却是数学革命。
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p118 的第十题,不太理解,求大佬解释
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Good mathematicians see analogies between theorems; great mathematicians see analogies between analogies.
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证明:如果n是不能被2或3整除的整数,则n^2 - 1能被24整除