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During an [admcycles](https://gitlab.com/modulispaces/admcycles) workshop we wanted to compute the inverse (in terms of composition) of the power series in $\mathbb{Q}[p,q,\sqrt{p+q}][[z]]$ given by
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as an example: determinant of a matrix.
Available algorithms: (at least a subset)
- for fields via rref or similar (n^3)
- for rings fraction free evaluation (n^4)
- for euclidean rings: HNF (n…
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Recently a quasi-linear algorithm for composing power series, and also the related power projections, was announced:
https://noshi91.hatenablog.com/entry/2024/03/16/224034
And there is now a more …
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ToDo: Increase arithmetic speed by using high performance algorithms for polynomial multiplication and division.
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`GF(p).extension(xxx)` does not accept symbolic polynomials... and the error is cryptic
```
sage: Fp = GF(3)
sage: Fp2. = Fp.extension(x^2+1)
Traceback (most recent call last):
...
UnboundLocalErro…
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Henry has been playing with how to make better polynomial baselines automatically. That code and the supporting documentation should be included in pynams as keywords in spectrum.make_baseline() and p…
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We pull many things from Chevie that are hard-coded. We should rather hardcode those ourselves, plus other stuff that is either hard to compute, or easy to hard-code.
We currently think of hard-cod…
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I understand that base_ring should mean "one up" in the ring hierarchy. Like here:
```
julia> R, (x, y, z) = PolynomialRing(QQ, ["x", "y", "z"])
(Multivariate Polynomial Ring in x, y, z over Ration…
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Thank you for your work on this free library..
I was doing some tests before implementing it to my project, and I kept getting convergence error for simple quadratic functions.
For example, the code…
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In Quantum Mechanics one often defines operators in terms of commutators between them and their actions on kets. For example, a linear oscilator could be defined as:
```python
n hbar O = symbols('n …