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Uses symbols and Function for functions of time.

Creates a SymPy UndefinedFunction, which is then initialized as a function
of a variable, the default being Symbol('t').

Parameters
==========

names : str
    Names of the dynamic symbols you want to create; works the same way as(more...)

        def dynamicsymbols(names, level=0):
    """Uses symbols and Function for functions of time.

    Creates a SymPy UndefinedFunction, which is then initialized as a function
    of a variable, the default being Symbol('t').

    Parameters
    ==========

    names : str
        Names of the dynamic symbols you want to create; works the same way as
        inputs to symbols
    level : int
        Level of differentiation of the returned function; d/dt once of t,
        twice of t, etc.

    Examples
    =======

    >>> from sympy.physics.mechanics import dynamicsymbols
    >>> from sympy import diff, Symbol
    >>> q1 = dynamicsymbols('q1')
    >>> q1
    q1(t)
    >>> diff(q1, Symbol('t'))
    Derivative(q1(t), t)

    """

    esses = symbols(names, cls=Function)
    t = dynamicsymbols._t
    if hasattr(esses, '__iter__'):
        esses = [reduce(diff, [t]*level, e(t)) for e in esses]
        return esses
    else:
        return reduce(diff, [t]*level, esses(t))
        


src/s/y/sympy-HEAD/sympy/physics/mechanics/functions.py   sympy(Download)
           'Lagrangian']
 
from sympy.physics.mechanics.essential import (Vector, Dyadic, ReferenceFrame,
                                               MechanicsStrPrinter,
                                               MechanicsPrettyPrinter,

src/s/y/sympy-HEAD/sympy/physics/mechanics/kane.py   sympy(Download)
from sympy.core.compatibility import reduce
from sympy.utilities import default_sort_key
from sympy.physics.mechanics.essential import ReferenceFrame, dynamicsymbols
from sympy.physics.mechanics.particle import Particle
from sympy.physics.mechanics.point import Point