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potency of the continuum
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     The potency of FⅦ is the highest.
     而FⅦ效价最高。
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     special potency of watermelon
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     Exploration of the Potency of Contract Imprint
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     output the innovative potency of the students;
     充分发挥学生的创新潜能;
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.In this paper,the weierstrass theory is strengthened as “the Continous functionsf(x) on closed interval can be approximated by polynomials with rational coffcients” first.Then the relation between the continous functionf(x) on[ a,b] and polynomial series is established,and the 1-1 mappin from the set of continous function on[ a,b ] to the set of national number sequence is given by the polynomial series.Furthermore,the famous result on “the set of continous function on[ a,b] has the potency of the continuum”...

.In this paper,the weierstrass theory is strengthened as “the Continous functionsf(x) on closed interval can be approximated by polynomials with rational coffcients” first.Then the relation between the continous functionf(x) on[ a,b] and polynomial series is established,and the 1-1 mappin from the set of continous function on[ a,b ] to the set of national number sequence is given by the polynomial series.Furthermore,the famous result on “the set of continous function on[ a,b] has the potency of the continuum” is abtained.

首先将Weierstrass定理加强为“闭区间[a,b]上的连续函数f(x)可以用有理系数多项式一致逼近”,然后建立起[a,b]上的连续函数f(x)与多项式级数之间的深刻联系,以这个多项式级数为工具,可以建立闭区间上的连续函数的集合到自然数序列的集合的一个单射,进而得到“闭区间[a,b]上的全体连续函数具有连续统的势”的著名结果.

 
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