How to add a condition in the sum function in sage

conditioned_sum

asked 2024-06-05 01:44:27 +0100

hamouda
45 ●3 ●7

updated 2024-06-05 15:46:43 +0100

FrédéricC

5251 ●3 ●44 ●116

I want to implement the following sum $\sum_{j=0}^{n}a_jx^j$ under the following conditions the coefficient $a_j=j$ if $j $ is even, or $j+1$ otherwise. My problem is how to include these cases in the sum function in sage. Normally the command is sum(a_j*x^j,j,1,n) but how to distinguish between the parity of j ?

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answered 2024-06-05 12:05:45 +0100

rburing

10919 ●4 ●80 ●218 https://www.rburing.nl/

Instead of using the symbolic sum that you mention, you can use Python's built-in sum that takes an iterable such as a generator expression:

sage: n = 5
sage: sum((j if j % 2 == 0 else j + 1)*x^j for j in range(1,n+1))
6*x^5 + 4*x^4 + 4*x^3 + 2*x^2 + 2*x

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Asked: 2024-06-05 01:44:27 +0100

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Last updated: Jun 05

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