Completing the square and compact forms for human reading
Subject: Completing the square and compact forms for human reading
From: Dan Hatton
Date: Wed, 12 Aug 2009 17:51:14 +0100 (BST)
Dear All,
Two closely-related questions
- Is there a Maxima function for completing the square in a polynomial
expression?
- Generally, is there a simplifier function that tends to produce a
form that's nice and compact for a human to read?
What's motivating this is that I have a bunch of expressions whose
radcan()ed forms are like
-(((9*%pi*l^2*n*theta10*w22-18*%pi*l^2*n*theta22*w10)*R0*X^2+(18*%pi*l^3*theta22*u10-9*%pi*l^3*theta10*u22)*R0*X)*Y^4+((%pi*m^2*n*theta10*w22-2*%pi*m^2*n*theta22*w10)*R0*X^4+(2*%pi*l*m^2*theta22*u10-%pi*l*m^2*theta10*u22)*R0*X^3)*Y^2)/((4*%pi^2*n^4*X^4+(72*%pi^2*l^2*n^2-36*l^2*R0)*X^2+324*%pi^2*l^4)*Y^4+((8*%pi^2*m^2*n^2-4*m^2*R0)*X^4+72*%pi^2*l^2*m^2*X^2)*Y^2+4*%pi^2*m^4*X^4)
and I'd like to automate the process of writing them more like
%pi*X*Y^2*R0*((((3*Y*l)^2+(X*m)^2)*l*u22-X*((3*Y*l)^2+(X*m)^2)*n*w22)*theta10-2*((9*Y^2*l^2+X^2*m^2)*l*u10-X*(9*Y^2*l^2+X^2*m^2)*n*w10)*theta22)/(4*(%pi^2*((3*Y*l)^2+(X*m)^2+(X*Y*n)^2)^2-((3*Y*l)^2+(X*m)^2)*(X*Y)^2*R0))
--
Thanks,
Dan