def vfree_group(symbols):
"""Construct a free group and inject ``f_0, f_1, ..., f_(n-1)`` as symbols
into the global namespace.
Parameters
----------
symbols : str, Symbol/Expr or sequence of str, Symbol/Expr (may be empty)
Examples
========
>>> from sympy.combinatorics.free_groups import vfree_group
>>> vfree_group("x, y, z")
<free group on the generators (x, y, z)>
>>> x**2*y**-2*z
x**2*y**-2*z
>>> type(_)
<class 'sympy.combinatorics.free_groups.FreeGroupElement'>
"""
_free_group = FreeGroup(symbols)
pollute([sym.name for sym in _free_group.symbols], _free_group.generators)
return _free_group
def vfree_group(symbols):
"""Construct a free group and inject ``f_0, f_1, ..., f_(n-1)`` as symbols
into the global namespace.
Parameters
----------
symbols : str, Symbol/Expr or sequence of str, Symbol/Expr (may be empty)
Examples
========
>>> from sympy.combinatorics.free_group import vfree_group
>>> vfree_group("x, y, z")
<free group on the generators (x, y, z)>
>>> x**2*y**-2*z
x**2*y**-2*z
>>> type(_)
<class 'sympy.combinatorics.free_group.FreeGroupElement'>
"""
_free_group = FreeGroup(symbols)
pollute([sym.name for sym in _free_group.symbols], _free_group.generators)
return _free_group
def vfield(symbols, domain, order=lex):
"""Construct new rational function field and inject generators into global namespace. """
_field = FracField(symbols, domain, order)
pollute([sym.name for sym in _field.symbols], _field.gens)
return _field
def vfp_group(fr_grpm, relators):
_fp_group = FpGroup(symbols, relators)
pollute([sym.name for sym in _fp_group.symbols], _fp_group.generators)
return _fp_group
def vfield(symbols, domain, order=lex):
"""Construct new rational function field and inject generators into global namespace. """
_field = FracField(symbols, domain, order)
pollute([ sym.name for sym in _field.symbols ], _field.gens)
return _field
