Type of variable is changed after using factor() function

asked 2024-03-27 07:34:22 +0200

lijr07
245 ●2 ●10 ●24

I defined a polynomial using polynomial ring. In my program, I need to simplify expressions using factor(). But the type of variable is changed and it becomes "None". For example,

Ra=PolynomialRing(QQ,'a',6)
Fa=Ra.fraction_field()
a=Ra.gens()
r1=(a[1]^2+a[2])/(a[3]+2*a[4])
r1.subs( { a[1]:2, a[4]:2*a[2]+a[3] } )
r2=r1.factor()
print(type(r1)), print(type(r2))
print(simplify(r2))

How to use factor() inside the ring Ra=PolynomialRing(QQ,'a',6)? Thank you very much.

answered 2024-03-27 13:22:48 +0200

Max Alekseyev

5748 ●5 ●37 ●123

updated 2024-03-27 13:29:25 +0200

factor() is defined for polynomials.

None results from using simplify() function on fraction of polynomials. It is a function, which works with symbolic expressions not polynomials or their fractions. Besides, there is nothing to "simplify" in polynomials or their fractions (the latter is always stored in reduced form).

Said that,, you can enforce using simplify() by first converting its argument to symbolic expression, although it seems pointless:

print(simplify(SR(r2)))

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Comments

Should factor throw an error when the input is not in SR?

grhkm ( 2024-04-03 03:46:59 +0200 )edit

No, factor works fine for polynomials as well. Issue is not in factor but in simplify.

Max Alekseyev ( 2024-04-03 04:31:56 +0200 )edit

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