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Real domain for symbolic variables #6559

@golam-m-hossain

Description

@golam-m-hossain

In new symbolics, the default symbolic variables are complex.
However, sometime it is useful/desirable to make the domain of
variables to be real.

Currently, there are no way to specify the domain of variables
in Sage although underlying Ginac allows it. For example: following
would to be good to have.

sage: var('x,y,z', domain='real')

Instructions for installing these patches (sage-4.1.1)

(1) Pynac patch
(a) Get the pynac spkg

http://sage.math.washington.edu/home/burcin/pynac/pynac-0.1.8.p2.spkg

(b) Apply the pynac patch for enhanced symbols

http://www.math.unb.ca/~ghossain/texname-and-domain-of-symbols-pynac.patch

(c) install the patched spkg in Sage.

OR if you are feeling lazy, you can directly install my patched copy of pynac from here

http://www.math.unb.ca/~ghossain/pynac-0.1.8.p2-symbols.spkg

(2) Sage patch:

Apply the attached sage patch after modified pynac spkg is installed

Notes:

#6403 will also be resolved by this patch

#6340 patch conflicts with this patch. This patch here should supersede the patch at #6340.

Component: symbolics

Keywords: pynac

Author: Golam Mortuza Hossain, Burcin Erocal

Reviewer: Karl-Dieter Crisman, Ross Kyprianou, Minh Van Nguyen

Merged: sage-4.3.3.alpha1

Issue created by migration from https://trac.sagemath.org/ticket/6559

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