Some domestic textbooks only give proofs under special condition of rack cutters and proofs under general condition of gear cutter are not strict enough.
国内文献及有关书籍中有的只对齿条刀具切制这一特殊情况进行了证明，而用齿轮刀具切制的普遍情况的证明是不严密的。
It has been already observed, that the so-called proofs of the being of God, which start from finite being, give an expression to this exaltation.
我们已经指明过，那从有限存在出发的所谓对上帝存在的证明，也表明了这种提高。
Suppose that when I leave this house I drive down to some newspaper office, and give them this scandal and the proofs of it!
假设我一离开这栋房子，就让马车去到某家报馆，向他们抖出这桩丑闻并提供证据！
This paper give the proofs of the Keal Function "a theorem that sum aggregate enumerable set is countable aggregate".
主要讨论了《实变函数论》中定理：“可数个可数集之并是可数集”的多种证明。
In this paper we change the Angle of view to consider the connections among several important theorems in Calculus, and give alternative proofs and new implications about these theorems.
在本文中，我们转换视角考察微积分中几个重要定理之间的关系，给出这几个定理的非传统的另类证明和新的蕴涵关系以及彼此等价的结论。
In this note, we give the detail proofs of time-homogeneity of the solution of backward stochastic differential equation (BSDE in short) and their explanations in financial market.
本注记在一定条件下证明了倒向随机微分方程(简记为BSDE)的解满足时齐性，并给出其在金融市场中的解释。
In this note, we give the detail proofs of time-homogeneity of the solution of backward stochastic differential equation (BSDE in short) and their explanations in financial market.
本注记在一定条件下证明了倒向随机微分方程(简记为BSDE)的解满足时齐性，并给出其在金融市场中的解释。
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