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    Nivg's Avatar
    Nivg Posts: 11, Reputation: 1
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    #1

    Apr 12, 2010, 07:04 PM
    how to approach induction with more then one variable?
    Hi all.

    When I need to prove with induction that an equality exist, for example:


    I don't have no problem as I only got one variable (n in this case).

    But when I got for example :
    prove that all Natural numbers can be presented as :

    when A is an infinite group of Natural numbers.

    I don't understand how to make from it an equality I can work with induction as I got more then one variable.

    * I don't want help of solving the problem, I only want help of understanding how to approach this kind of problems, if someone got a simple example that can help me understand how to approach such type of problems it will be even better.

    thanks in advanced.
    galactus's Avatar
    galactus Posts: 2,271, Reputation: 282
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    #2

    Apr 13, 2010, 03:15 AM

    It is a little trickier than the standard example you showed, but look here:

    http://faculty.salisbury.edu/~kmshan...inctpowers.pdf
    Nivg's Avatar
    Nivg Posts: 11, Reputation: 1
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    #3

    Apr 13, 2010, 07:47 AM

    galactus thanks, I see it is really tricky.
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