Michael Somos on Sun, 31 Oct 1999 08:42:21 -0500 (EST) |
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Re: Euclidean division |
Bill Allombert wrote : > I do not know what is the euclidean quotient of two rational. > Perhaps (a/b)\(c/d)=ad\bc ? I think the natural definition is : x\y = floor(x/y) which makes sense even for real x and y. Note that this is a natural step in the Euclidean algorithm. In order for one quantity to "measure" another you have to subtract the smaller from the larger a number of times. The number of times required is the Euclidean quotient. Shalom, Michael -- Michael Somos <somos@grail.cba.csuohio.edu> Cleveland State University http://grail.cba.csuohio.edu/~somos/ Cleveland, Ohio, USA 44115