20200502 00:44:02 +0100  asked a question  Best practice to save results of a function as a database I have a function defined inductively that taxes my computer quite a lot. It will help a lot if I can save its results somewhere, preventing it from unnecessary calculations. To simplify, assume that it's a function $f: \mathbb{N} \to \mathbb{N}$, where $f(0)=1$ and $f(i)$ depends on the value of $f$ at lower $i$'s. Imagine that I want to calculate $f(n)$ where $n \sim 10^{1000}$. Of course, I can do it by But I feel like this can be improved. Any idea? 
20200430 14:00:39 +0100  commented answer  Running VIM inside Sage Shell same issue here 
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20200417 19:34:07 +0100  commented question  SageMath Gap Kernel Compatibility I have similar issues on 
20200417 16:28:34 +0100  commented answer  How do I install a GAP package in Sage? I got an error by running 
20200417 16:23:04 +0100  asked a question  Problem with GAP Is GAP still compatible with sage? I followed the tutorial on this page, but it immediately broke at the first step:
Error message:
Running

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20200416 19:47:17 +0100  asked a question  Polynomial ring indexed over an abelian group (magma). Hi, I wonder if currently there's a cleaner way to do $x^v \cdot x^w = x^{v+w}$ in Sage, where $v, w$ are some vectors in a vector space? Once a basis ${v_1, \cdots v_n}$ for the vector space is chosen, this can be done by identifying $x_i$ with $x^{v_i}$, and use the multivariate ring $R[x_1, \cdots, x_n]$. However, I would like to do this in an intrinsic manner, i.e. not choosing a basis. More generally, I think for any element $m$ in any magma $M$, we should be able to define an algebra $R[x^mm\in M]$ over any given ring $R$. Notice that this is not the same as QuestionIs $R[x^mm\in M$$ currently doable? If not, I might work on writing it. ApplicationA reason why I think it would be helpful: it can help calculating generalized characters of representations of quantum groups. 