#5546: [with patch, needs work] jacobian fails for pynac expressions
-----------------------+----------------------------------------------------
 Reporter:  burcin     |       Owner:  burcin    
     Type:  defect     |      Status:  assigned  
 Priority:  major      |   Milestone:  sage-3.4.2
Component:  symbolics  |    Keywords:            
-----------------------+----------------------------------------------------
Changes (by ncalexan):

 * cc: robertwb (added)


Comment:

 With these two patches applied, you can get some wild things:

 {{{
 sage: var('x,y,z',ns=1)
 (x, y, z)
 sage: M = matrix(2,2,[x,y,z,x])
 sage: M.base_ring()
 New Symbolic Ring
 sage: v = vector([x,y])
 sage: v.base_ring()
 New Symbolic Ring
 sage: M * v
 Exception exceptions.TypeError: 'mutable matrices are unhashable' in
 'sage.modules.free_module_element.FreeModuleElement._cmp_same_ambient_c'
 ignored
 <ERROR: mutable matrices are unhashable>
 (([x y]
 [z x])*x, ([x y]
 [z x])*y)
 sage: v * M
 (x^2 + y*z, 2*x*y)
 sage: M * v
 <ERROR: mutable matrices are unhashable>
 (([x y]
 [z x])*x, ([x y]
 [z x])*y)
 sage: v * M * v
 2*x*y^2 + (x^2 + y*z)*x
 sage: v * (M * v)
 
/Users/ncalexan/.sage/temp/dhcp_v007_000.mobile.uci.edu/36399/_Users_ncalexan__sage_init_sage_0.py:1:
 RuntimeWarning: tp_compare didn't return -1 or -2 for exception
   # -*- coding: utf-8 -*-
 ([x y] + ([x y]
 }}}

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/5546#comment:2>
Sage <http://sagemath.org/>
Sage - Open Source Mathematical Software: Building the Car Instead of 
Reinventing the Wheel

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