
Re: Reason for operator precedence
Posted:
Mar 14, 2006 8:31 AM


In article <1142342196.542632.294210@i39g2000cwa.googlegroups.com> matt271829news@yahoo.co.uk writes: > Tony wrote: ... > > I was wondering what the reason is for having multiple levels of operator > > precedence? ... > As far as addition/subtraction vs multiplication/division is concerned, > one reason is to ensure that the distributive property of > multiplication works sensibly. For example, we want 3*(4 + 6) = 3*4 + > 3*6 = 3*(6 + 4) = 3*6 + 3*4. > > And for exponentiation we want, for example, 3*3^2 = 3^3, not (3*3)^2
That is not the reason. You could just as well have left to right operation when you use sufficiently many parenthesis in the euqations. E.g. 3*(4 + 6) = (3*4) + (3*6).
But try to write the polynomial x^7 + 2x^6  3x^5 + 2x^4 +7x^3  3x^2  5x + 8 without assuming precedence. It is to avoid large numbers of parenthesis.  dik t. winter, cwi, kruislaan 413, 1098 sj amsterdam, nederland, +31205924131 home: bovenover 215, 1025 jn amsterdam, nederland; http://www.cwi.nl/~dik/

