/usr/share/axiom-20170501/input/up.input is in axiom-test 20170501-3.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 | -- Input generated from UnivariatePolynomialXmpPage
)clear all
(p,q) : UP(x,INT)
p := (3*x-1)^2 * (2*x + 8)
q := (1 - 6*x + 9*x^2)^2
p^2 + p*q
leadingCoefficient p
degree p
reductum p
gcd(p,q)
lcm(p,q)
resultant(p,q)
D p
p(2)
p(q)
q(p)
l := coefficients p
reduce(gcd,l)
content p
ux := (x^4+2*x+3)::UP(x,INT)
vectorise(ux,5)
squareTerms(p) ==
reduce(+,[t^2 for t in monomials p])
p
squareTerms p
(r,s) : UP(a1,FRAC INT)
r := a1^2 - 2/3
s := a1 + 4
r quo s
r rem s
d := divide(r, s)
r - (d.quotient * s + d.remainder)
integrate r
integrate s
t : UP(a1,FRAC POLY INT)
t := a1^2 - a1/b2 + (b1^2-b1)/(b2+3)
u : FRAC POLY INT := t
u :: UP(b1,?)
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