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Abstact math, define a function

  1. Apr 25, 2012 #1
    1. The problem statement, all variables and given/known data

    Let T={0,1,2,3,4,5,6,7,8,9}, Let A={f| f:N→T} It means that each element A is a function with domain N and co-domain T. Let B={x element of R| 0≤x≤1}. Define a function G:A→B that is a surjection. Prove that the function is a surjection. Look at Cantor's diagonal proof to help with defining function G.

    2. Relevant equations



    3. The attempt at a solution
    I know that it is going to be a piecewise function that assigns different decimal numbers from A to B. But I don t know exactly what kind of elements set A contains. Please help!!!
     
    Last edited: Apr 25, 2012
  2. jcsd
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