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Operational Interpretation

For performing arithmetic on some x in Zm,

  1. we apply the selector function to determine a representative x in Z,
  2. perform the corresponding operation in Z to yield the result r in Z,
  3. and then determine the residue class [r]m in Zm.

Because of congruence, choice of the representative does not matter.

Author: Wolfgang Schreiner
Last Modification: January 12, 2000

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