2019-05-03 20:09:29 +0200 | received badge | ● Editor (source) |
2019-05-03 20:08:23 +0200 | commented answer | Defining family of multivariable polynomials Thanks, this works perfectly! |
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2019-05-03 15:27:01 +0200 | commented question | Defining family of multivariable polynomials That is correct, I'd like to fix any $n$ then study the $p_k$. Yes, these will be degree $1$ polynomials in at most $n$ variables. |
2019-05-03 08:05:55 +0200 | asked a question | Defining family of multivariable polynomials Brand new to Sage here and trying to define a family of polynomials indexed by natural numbers. In particular, I'd like to be able to generate then perform symbolic calculations with the family of polynomials defined for all $n\in \mathbb{N}$ and all $k=0,\dotsc, 2n$ by $$p_{n,k}=\begin{cases} 0 & \textrm{if } k=0\newline \sum_{j=1}^k x_j&\textrm{if } k\leq n\newline \sum_{j=1}^{2n-k+1}x_j&\textrm{if }k>n \end{cases}$$ So far the attempts that I've had are of the form: but I don't seem to easily perform calculations with these. Another method I was trying is defining $\mathbb{Q}[x_0,\dotsc, x_n]$ then trying to define these polynomials using conditional statements. I seem to keep getting errors stating my variables don't exist. Would love some help or a hint. |