Suppose I create the polynomial ring R = PolynomialRing(QQ, ['lambda%s'%i for i in [1 .. g]] + ['psi%s'%i for i in [1 .. n]]).
If I want to create a list comprehension which creates a list of perhaps all the lambdas, what is the notation used at the beginning of the list comprehension?
i.e. [lambdai for i in [1 .. g]].
You can use R.gen(i-1), but it takes fewer keystrokes to slice the list of generators:
sage: g = 3; n = 4
sage: R = PolynomialRing(QQ, ['lambda%s'%i for i in [1 .. g]] + ['psi%s'%i for i in [1 .. n]])
sage: lambdas = R.gens()[:g]
sage: psis = R.gens()[n-1:]
sage: lambdas, psis
((lambda1, lambda2, lambda3), (psi1, psi2, psi3, psi4))
Another trick is to start your indexing at 0 so that you can name your list like psi and then psi[0] will refer to the variable named psi0. Or you can shift your list, or make a dictionary, if you want indices to start at 1.
Asked: 2020-12-01 23:03:40 +0100
Seen: 343 times
Last updated: Dec 02 '20
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