I have seen visual proofs for fermats little theorem, gauss sum and many other things. I find them very useful. Is there a visual proof for the chinese remainder theorem? Thanks in advance.
visual proof of the chinese remainder theorem?
5
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number-theory
visualization
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0Patrick Da Silva: http://www.youtube.com/watch?v=XPMzosLWGHo , and here is a formal proof running with that idea: http://www.math.uchicago.edu/~may/VIGRE/VIGRE2008/REUPapers/Bishop.pdf – 2019-04-25
1 Answers
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$\begin{array}{cc|cccccc} & & 0 & 1 & 2 & 3 & 4 & \pmod 5 \\\hline \\ & 0 & 0 & 6 & 12 & 3 & 9 \\ \pmod 3 & 1 & 10 & 1 & 7 & 13 & 4 \\ & 2 & 5 & 11 & 2 & 8 & 14 \end{array}$