Question 461638: What is residue? explain with example.
Answer by richard1234(7193) (Show Source):
You can put this solution on YOUR website! Residue has many meanings in math. In number theory, residue is synonymous with "remainder" so if the value of x^3 can be congruent to 0, 1, or 2 modulo 3 (which it can) then we say that x^3 covers all residues mod 3.
There are also residues in complex analysis, which I have heard of but they are a little far beyond my reach since I have only learned some calculus and haven't gotten to analysis yet. Here is the Wikipedia article on residue:
http://en.wikipedia.org/wiki/Residue_(complex_analysis)
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