/usr/lib/open-axiom/input/odpol.input is in open-axiom-test 1.4.1+svn~2626-2ubuntu2.
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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 OrderlyDifferentialPolynomialXmpPage
)clear all
dpol:= ODPOL(FRAC INT)
w := makeVariable('w)$dpol
z := makeVariable('z)$dpol
w.5
w 0
[z.i for i in 1..5]
f:= w.4 - w.1 * w.1 * z.3
g:=(z.1)**3 * (z.2)**2 - w.2
D(f)
D(f,4)
df:=makeVariable(f)$dpol
df.4
order(g)
order(g, 'w)
differentialVariables(g)
degree(g)
degree(g, 'w)
weights(g)
weights(g,'w)
weight(g)
isobaric?(g)
eval(g,['w::Symbol],[f])
eval(g,variables(w.0),[f])
monomials(g)
variables(g)
gcd(f,g)
groebner([f,g])
lg:=leader(g)
sg:=separant(g)
ig:=initial(g)
g1 := D g
lg1:= leader g1
pdf:=D(f, lg1)
prf:=sg * f- pdf * g1
lcf:=leadingCoefficient univariate(prf, lg)
ig * prf - lcf * g * lg
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