有界数列
- 网络bounded sequence
有界数列-
以通常所说的闭区间套定理作为公理推出单调有界数列存在极限和Dedekind定理，并且证明了通常所说的实数满闭区间套定理。
Based on the view that the theorem of closed mested interval is an axiom , this paper deduces the essential limit of monotonic bounded sequence of number and the Dedekind theorem , and proves the general theorem of bull closed nested interval of real number .
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单调有界数列一定收敛的新证法
A New Method to Prove the convergence of Monotone Bounded Series of Nambers
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单调有界数列必收敛的应用综述
The Summary of the Application of " Monotonous Boundary Numbered Lines Necessarily Converge "
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囿变数列又称为有界变差数列，在函数论中有广泛的应用。
The bounded variation sequence is applied broadly .