#7472: Taylor polynomial in two variables does not work
----------------------------+-----------------------------------------------
   Reporter:  robert.marik  |       Owner:  burcin                       
       Type:  enhancement   |      Status:  needs_review                 
   Priority:  major         |   Milestone:  sage-4.3.1                   
  Component:  calculus      |    Keywords:  taylor polynomial, derivative
Work_issues:                |      Author:  Robert Marik                 
   Upstream:  N/A           |    Reviewer:  Karl-Dieter Crisman          
     Merged:                |  
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Comment(by kcrisman):

 I assume the idea of different degrees for different variables was lost?
 That really doesn't matter to me, though.

 What about this one, from the documentation?
 {{{
 sage: x,y=var('x y'); taylor(x*y^3,(x,1),(y,-1),4)
 (y + 1)^3*(x - 1) + (y + 1)^3 - 3*(y + 1)^2*(x - 1) - 3*(y + 1)^2 + 3*(y +
 1)*(x - 1) - x + 3*y + 3
 }}}
 Why doesn't it end this way?
 {{{
 -(x-1)+3*(y+1) -1
 }}}
 Maybe this is documented in Maxima?  It does seem odd, though, if I'm
 understanding what a multivariable Taylor polynomial is supposed to look
 like.

 But overall this looks fine, assuming the Maxima computations are correct.
 I am waiting for 4.3.alpha2 to build to see if there needs to be a rebase,
 but surely it would be trivial if so.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/7472#comment:10>
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