#9829: Implement implicitly multiplied output
------------------------------+---------------------------------------------
   Reporter:  mpatel          |       Owner:  was
       Type:  enhancement     |      Status:  new
   Priority:  major           |   Milestone:     
  Component:  user interface  |    Keywords:     
     Author:                  |    Upstream:  N/A
   Reviewer:                  |      Merged:     
Work_issues:                  |  
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 With `implicit_multiplication(True)`, we can enter expressions using
 spaces instead of `*` to separate multiplied subexpressions:

 {{{
 #!python
 sage: var('x, y, z')
 sage: implicit_multiplication(True)
 sage: 3 x^4 y + 2 z sin(x z 3 y) - 3 y^2
 3*x^4*y - 3*y^2 + 2*z*sin(3*x*y*z)
 }}}

 This works similarly for polynomials.

 But it's not yet possible to set an option so that Sage automatically
 postparses the output to multiply implicitly.  For example,

 {{{
 #!python
 sage: R.<a,b,c> = QQ[]; R
 Multivariate Polynomial Ring in a, b, c over Rational Field
 sage: implicit_multiplication_output(True)    # not implemented!
 sage: R.random_element()
 1/7 a b - 1/4 a c - c^2 + c
 }}}

 Ideally, we would be able to use the output in later inputs with little or
 no modification.

 [http://ask.sagemath.org/question/46/is-it-possible-to-get-implicitly-
 multiplied-output AskSage question] (by me).

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9829>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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