Opened 6 years ago

Closed 6 years ago

#18499 closed enhancement (fixed)

add documentation for symbolic series arithmetics

Reported by: rws Owned by:
Priority: major Milestone: sage-6.8
Component: documentation Keywords:
Cc: Merged in:
Authors: Karen Kohl Reviewers: Ralf Stephan
Report Upstream: N/A Work issues:
Branch: 8bcb6a7 (Commits) Commit: 8bcb6a7104411f477ac924146c5ed36e946ffb67
Dependencies: Stopgaps:

Description

It is undocumented that expressions containing series (that result from operations with them) can be "expanded" by applying series again.

sage: (1/(1-x)).series(x, 3)+(1/(1+x)).series(x,3)
(1 + (-1)*x + 1*x^2 + Order(x^3)) + (1 + 1*x + 1*x^2 + Order(x^3))
sage: _.series(x,3)
2 + 2*x^2 + Order(x^3)
sage: (1/(1-x)).series(x, 3)*(1/(1+x)).series(x,3)
(1 + (-1)*x + 1*x^2 + Order(x^3))*(1 + 1*x + 1*x^2 + Order(x^3))
sage: _.series(x,3)
1 + 1*x^2 + Order(x^3)

GiNaC quote: "...if you want to work with series, i.e. multiply two series, you need to call the method ex::series again to convert it to a series object with the usual structure (expansion plus order term)."

Change History (4)

comment:1 Changed 6 years ago by ktkohl

  • Branch set to u/ktkohl/add_documentation_for_symbolic_series_arithmetics

comment:2 Changed 6 years ago by ktkohl

  • Authors set to Karen Kohl
  • Commit set to 8bcb6a7104411f477ac924146c5ed36e946ffb67
  • Status changed from new to needs_review

New commits:

8bcb6a7added examples for re-expanding combined series

comment:3 Changed 6 years ago by rws

  • Reviewers set to Ralf Stephan
  • Status changed from needs_review to positive_review

Looks fine, many thanks.

comment:4 Changed 6 years ago by vbraun

  • Branch changed from u/ktkohl/add_documentation_for_symbolic_series_arithmetics to 8bcb6a7104411f477ac924146c5ed36e946ffb67
  • Resolution set to fixed
  • Status changed from positive_review to closed
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