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-   -   How to approach induction with more then one variable? (https://www.askmehelpdesk.com/showthread.php?t=464349)

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

    When I need to prove with induction that an equality exist, for example:
    http://i42.photobucket.com/albums/e3...th/simpleN.gif

    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 :
    http://i42.photobucket.com/albums/e316/K007/math/2i.gif
    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.
  • Apr 13, 2010, 03:15 AM
    galactus

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

    http://faculty.salisbury.edu/~kmshan...inctpowers.pdf
  • Apr 13, 2010, 07:47 AM
    Nivg

    galactus thanks, I see it is really tricky.

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