ProlateHomoeoidalCoordinateSystem
================================================================

.. currentmodule:: coordinates.coordinate_systems

.. autoclass:: coordinates.coordinate_systems.ProlateHomoeoidalCoordinateSystem

   

   
   .. rubric:: Methods

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

   
   
   .. rubric:: Attributes

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