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A Rudimentary Question

  1. Jan 18, 2007 #1
    :smile: hey, anyone knows what kind of set the following symbol represents?

    Zm (Z with subscription m, where Z is the set of whole numbers and m a positive integer).

    thanks alot.
     
  2. jcsd
  3. Jan 18, 2007 #2
    [tex]Z_m = \{0, 1, 2, \ldots, m-1\}[/tex]

    for example,
    [tex]Z_2 = \{0, 1\}[/tex]
    [tex]Z_3 = \{0, 1, 2\}[/tex]
    [tex]Z_4 = \{0, 1, 2, 3\}[/tex]
     
    Last edited: Jan 18, 2007
  4. Jan 18, 2007 #3

    matt grime

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    With addition and multiplication defined mod m (Z_m is not just a set).

    Warning: notation is ambiguous. I have also seen this used to mean the m-adic integers.
     
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