2021-12-09 09:40:16 +0100 | received badge | ● Nice Question (source) |
2021-12-06 11:28:26 +0100 | commented answer | Some straightforward square root fractions are not simplified Thanks! The takeaway message, the way I see it as a Sage beginner, is that it can always be useful to check with Sympy i |
2021-12-06 11:25:59 +0100 | marked best answer | Some straightforward square root fractions are not simplified I'm a Sage beginner who's trying to apply it to a set of equations I'm working on. In that process, I came across an issue where SageMath 9.4 is not simplifying some very straightforward square root fractions in my expressions. Let me show you a minimal example: $$-\frac{\sqrt{-x + 1}}{x - 1}$$ What I was expecting to get, of course, is $1 / \sqrt{1 - x}$. Calling $$1/\sqrt{x}$$ $$1/\sqrt{1+x}$$ $$1/\sqrt{x-1}$$ So in other words, Sage automatically simplifies all of the other expressions I tried in exactly the way that I would expect. To try out things a bit further, I tried to see if it helps to apply Sympy: $$1/\sqrt{1-x}$$ That works. (The So, is there some subtle finesse here that I'm not understanding, or did I stumble across a bug in Sage's simplification algorithms? |
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2021-12-03 18:27:38 +0100 | asked a question | Some straightforward square root fractions are not simplified Some straightforward square root fractions are not simplified I'm a Sage beginner who's trying to apply it to a set of e |