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(n+1)维空间Cna,b上规范B基存在的充要条件

Necessary and Sufficient Condition for the Existence of Normalized B-Bases on (n+1)-Dimensional Space Cna,b

  • 摘要: 给出(n+1)维空间Cna,b上规范B基存在的充要条件,并就摆线的规范B基的非退化表示进行讨论,得到了函数空间P1=span1, t, cost, sint中摆线的非退化规范B基表示.

     

    Abstract: Necessary and sufficient condition for the existence of normalized B-bases on (n+1)-dimensional space Cn[a,b] is presented.The non-degenerated representation of cycloid by normalized Bbases is discussed,a non-degenerated representation in space P1=span{1,t,cos t,sin t}is given.

     

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