Opened 8 years ago
Last modified 8 months ago
#12074 new enhancement
real nth root function
Reported by: | burcin | Owned by: | burcin |
---|---|---|---|
Priority: | minor | Milestone: | sage-wishlist |
Component: | symbolics | Keywords: | nth_root |
Cc: | kcrisman, karsten.naert@…, eviatarbach, slelievre | Merged in: | |
Authors: | Burcin Erocal | Reviewers: | |
Report Upstream: | N/A | Work issues: | needs tests and documentation |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
See sage-devel thread at:
http://groups.google.com/group/sage-devel/t/cea9b562ea49c9c1
Attachments (1)
Change History (11)
comment:1 Changed 8 years ago by
- Cc kcrisman added
- Work issues set to needs tests and documentation
comment:2 follow-up: ↓ 3 Changed 8 years ago by
Changed 8 years ago by
comment:3 in reply to: ↑ 2 Changed 8 years ago by
Replying to jdemeyer:
Is there any chance this could be made into a function that we can do calculus with, like computing derivatives, integrals, solving equations... (I'm afraid the answer will be no though because we need maxima).
This is already a symbolic function, so it plays well with symbolics generally (as opposed to piecewise functions for instance):
sage: v = nth_root(x,3) sage: v*sin(x) + x^2 x^2 + real_nth_root(x, 3)*sin(x)
I updated the patch to add custom exponentiation and derivative methods as well:
sage: v^2 real_nth_root(x, 3/2) sage: v*v real_nth_root(x, 3/2) sage: v.diff(x) 1/3*real_nth_root(x, -3/2)
This all needs a lot of work of course.
For integration and solving equations we call out to maxima. One way to get sensible results from these calls would be to convert this function to a regular (base)^(exp)
representation when passing it to maxima. I don't think there is any way to read it back from the maxima result though.
comment:4 Changed 8 years ago by
- Cc karsten.naert@… added
comment:5 Changed 7 years ago by
- Cc eviatarbach added
comment:6 Changed 6 years ago by
- Milestone changed from sage-5.11 to sage-5.12
comment:7 Changed 6 years ago by
- Milestone changed from sage-6.1 to sage-6.2
comment:8 Changed 6 years ago by
- Milestone changed from sage-6.2 to sage-6.3
comment:9 Changed 5 years ago by
- Milestone changed from sage-6.3 to sage-6.4
comment:10 Changed 8 months ago by
- Cc slelievre added
- Milestone changed from sage-6.4 to sage-wishlist
See also sympy's real_root
Is there any chance this could be made into a function that we can do calculus with, like computing derivatives, integrals, solving equations... (I'm afraid the answer will be no though because we need maxima).