ProlateSpheroidalCoordinateSystem
================================================================

.. currentmodule:: coordinates.coordinate_systems

.. autoclass:: coordinates.coordinate_systems.ProlateSpheroidalCoordinateSystem

   

   
   .. rubric:: Methods

   .. autosummary::
      :toctree:
      :recursive:
   
      ~ProlateSpheroidalCoordinateSystem.__init__
      ~ProlateSpheroidalCoordinateSystem.adjust_dense_tensor_signature
      ~ProlateSpheroidalCoordinateSystem.axes_complement
      ~ProlateSpheroidalCoordinateSystem.build_axes_mask
      ~ProlateSpheroidalCoordinateSystem.compute_expression
      ~ProlateSpheroidalCoordinateSystem.compute_expression_from_coordinates
      ~ProlateSpheroidalCoordinateSystem.compute_function_from_coordinates
      ~ProlateSpheroidalCoordinateSystem.convert_axes_to_indices
      ~ProlateSpheroidalCoordinateSystem.convert_indices_to_axes
      ~ProlateSpheroidalCoordinateSystem.convert_to
      ~ProlateSpheroidalCoordinateSystem.coordinate_meshgrid
      ~ProlateSpheroidalCoordinateSystem.create_coordinate_list
      ~ProlateSpheroidalCoordinateSystem.from_cartesian
      ~ProlateSpheroidalCoordinateSystem.from_hdf5
      ~ProlateSpheroidalCoordinateSystem.get_axes_from_mask
      ~ProlateSpheroidalCoordinateSystem.get_axes_latex
      ~ProlateSpheroidalCoordinateSystem.get_axes_order
      ~ProlateSpheroidalCoordinateSystem.get_axes_permutation
      ~ProlateSpheroidalCoordinateSystem.get_axes_units
      ~ProlateSpheroidalCoordinateSystem.get_canonical_axes_order
      ~ProlateSpheroidalCoordinateSystem.get_canonical_axes_permutation
      ~ProlateSpheroidalCoordinateSystem.get_class_expression
      ~ProlateSpheroidalCoordinateSystem.get_conversion_transform
      ~ProlateSpheroidalCoordinateSystem.get_expression
      ~ProlateSpheroidalCoordinateSystem.get_free_fixed
      ~ProlateSpheroidalCoordinateSystem.get_indices_from_mask
      ~ProlateSpheroidalCoordinateSystem.get_mask_from_axes
      ~ProlateSpheroidalCoordinateSystem.get_mask_from_indices
      ~ProlateSpheroidalCoordinateSystem.get_numeric_expression
      ~ProlateSpheroidalCoordinateSystem.has_class_expression
      ~ProlateSpheroidalCoordinateSystem.has_expression
      ~ProlateSpheroidalCoordinateSystem.in_axes_order
      ~ProlateSpheroidalCoordinateSystem.in_canonical_order
      ~ProlateSpheroidalCoordinateSystem.insert_fixed_axes
      ~ProlateSpheroidalCoordinateSystem.is_axes_subset
      ~ProlateSpheroidalCoordinateSystem.is_axes_superset
      ~ProlateSpheroidalCoordinateSystem.is_axis
      ~ProlateSpheroidalCoordinateSystem.lambdify_expression
      ~ProlateSpheroidalCoordinateSystem.list_class_expressions
      ~ProlateSpheroidalCoordinateSystem.list_expressions
      ~ProlateSpheroidalCoordinateSystem.lower_index_dense
      ~ProlateSpheroidalCoordinateSystem.order_axes
      ~ProlateSpheroidalCoordinateSystem.order_axes_canonical
      ~ProlateSpheroidalCoordinateSystem.pprint
      ~ProlateSpheroidalCoordinateSystem.raise_index_dense
      ~ProlateSpheroidalCoordinateSystem.requires_expression
      ~ProlateSpheroidalCoordinateSystem.requires_expression_from_coordinates
      ~ProlateSpheroidalCoordinateSystem.resolve_axes
      ~ProlateSpheroidalCoordinateSystem.set_expression
      ~ProlateSpheroidalCoordinateSystem.substitute_expression
      ~ProlateSpheroidalCoordinateSystem.to_cartesian
      ~ProlateSpheroidalCoordinateSystem.to_hdf5
   
   

   
   
   .. rubric:: Attributes

   .. autosummary::
      :toctree:
      :recursive:
   
      ~ProlateSpheroidalCoordinateSystem.axes
      ~ProlateSpheroidalCoordinateSystem.axes_dimensions
      ~ProlateSpheroidalCoordinateSystem.axes_symbols
      ~ProlateSpheroidalCoordinateSystem.inverse_metric_tensor
      ~ProlateSpheroidalCoordinateSystem.inverse_metric_tensor_symbol
      ~ProlateSpheroidalCoordinateSystem.metric_tensor
      ~ProlateSpheroidalCoordinateSystem.metric_tensor_symbol
      ~ProlateSpheroidalCoordinateSystem.ndim
      ~ProlateSpheroidalCoordinateSystem.parameter_symbols
      ~ProlateSpheroidalCoordinateSystem.parameters