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Questions With No Answer Booklet!

  1. Oct 16, 2011 #1
    So i've been given some questions and have answered them. However, there's no answer booklet so I don't know if I am understanding this correctly.


    As far as I know they're correct. But I need a human to tell me :P

    1. {(01)^2n | n > 0} {

    0101, 01010101, 010101010101, 0101010101010101, 01010101010101010101

    2. {0^n1^m | n >=0, m >=0} =


    { lambda,0,1,00,01,11, 000,001,011,111.....}

    3.

    A = { Lambda, Tom, Jerry, and}
    B = {is, are}
    C = {Lambda, not}
    D = {Lambda, very}
    E = {happy, upset}


    is A = {Lambda, a}
    B = {a, b}
    C = {Lambda, b}

    What is A^2 U B^2 U C^2

    A.A = {Lambda, a}.{lambda,a} = {Lambda, a, aa}

    B.B = {a,b}.{,a,b} ={aa, ab, ba, bb}

    C.C = {Lambda, b}. {Lambda, b} = {Lambda, b, bb}

    Answer = {Lambda, a, b, aa, ab, ba, bb}


    What is B ∩ A^2 ∩ C^2

    B = {a, b}

    A.A = {Lambda, a, aa}

    C.C = {Lambda, b, bb}

    Answer = {} (empty set)





    Difference

    Question 1
    A^2 \ B

    A^2 = A.A = {Lambda, a, aa}

    B = {a, b}

    Answer = {Lambda, aa}

    Question 2
    B / A^2

    A^2 = A.A = {Lambda, a, aa}

    B = {a, b}

    Answer = {b}
     
  2. jcsd
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