def _init_derived(self):
r"""
Initialize the derived quantities.
TEST::
sage: M = Manifold(2, 'M')
sage: X.<x,y> = M.chart()
sage: f = M.scalar_field({X: x+y})
sage: f._init_derived()
"""
ScalarField._init_derived(
self) # derived quantities of the mother class
def _init_derived(self):
r"""
Initialize the derived quantities.
TESTS::
sage: M = Manifold(2, 'M')
sage: X.<x,y> = M.chart()
sage: f = M.scalar_field({X: x+y})
sage: f._init_derived()
"""
ScalarField._init_derived(self) # derived quantities of the parent class
self._differential = None # differential 1-form of the scalar field
self._lie_derivatives = {} # dict. of Lie derivatives of self, (keys: id(vector))
def _init_derived(self):
r"""
Initialize the derived quantities.
TESTS::
sage: M = Manifold(2, 'M')
sage: X.<x,y> = M.chart()
sage: f = M.scalar_field({X: x+y})
sage: f._init_derived()
"""
ScalarField._init_derived(self) # derived quantities of the parent class
self._differential = None # differential 1-form of the scalar field
self._lie_derivatives = {} # dict. of Lie derivatives of self, (keys: id(vector))
