#18499: add documentation for symbolic series arithmetics
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   Reporter:  rws            |            Owner:
       Type:  enhancement    |           Status:  new
   Priority:  major          |        Milestone:  sage-6.8
  Component:  documentation  |         Keywords:
  Merged in:                 |          Authors:
  Reviewers:                 |  Report Upstream:  N/A
Work issues:                 |           Branch:
     Commit:                 |     Dependencies:
   Stopgaps:                 |
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 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)."

--
Ticket URL: <http://trac.sagemath.org/ticket/18499>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
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