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))