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Thread: Well-defined function

  1. October 4th 2010, 01:58 PM #1
    page929
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    Well-defined function

    I need to show that the following formula yields a well-defined function:

    f: Z8 --> Z8 defined by f([x]8) = [mx]8 for any m belonging to Z.
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  2. October 4th 2010, 03:46 PM #2
    tonio
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    Quote Originally Posted by page929 View Post
    I need to show that the following formula yields a well-defined function:

    f: Z8 --> Z8 defined by f([x]8) = [mx]8 for any m belonging to Z.
    [x]_8=[y]_8\Longrightarrow [x-y]_8=[0]_8\Longrightarrow [m(x-y)]_8=[mx-my]_8=[0]_8\Longrightarrow [mx]_8=[my]_8

    Tonio
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