[math-fun] Complex modulo function?

Wolfram defines mod as: a mod b = a - b * floor(a/b) for real or complex a and b. I think they define complex floor as: floor(a) = floor(re(a)) + i * floor(im(a)) for complex a. Tom Kerry Mitchell writes:

Hi all,

Is there a standard, or at least, reasonable, definition of the modulo function for complex numbers? What I've come up with is:

a mod b = r means a = qb + r,

where q is the Gaussian integer that minimizes |r|, with |qb| <= |a|.

Thanks for any guidance, Kerry _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun