biosspheres.helmholtz.crossinteractions
=======================================

.. automodule:: biosspheres.helmholtz.crossinteractions

   
   .. rubric:: Functions

   .. autosummary::
   
      a_0_sj_and_js_from_v_k_w
      a_0_sj_and_js_from_v_sj
      all_cross_interactions_n_spheres_1d
      all_cross_interactions_n_spheres_2d
      all_cross_interactions_n_spheres_from_v_1d
      all_cross_interactions_n_spheres_from_v_2d
      jey_array
      k_0_sj_from_v_0_sj
      k_0_sj_semi_analytic_v1d
      k_0_sj_semi_analytic_v2d
      ka_0_sj_from_k_js
      ka_0_sj_semi_analytic_recurrence_v1d
      ka_0_sj_semi_analytic_recurrence_v2d
      sj_pre_single_layer_semi_analytic_v1d
      v_0_js_from_v_0_sj
      v_0_sj_semi_analytic_v1d
      v_0_sj_semi_analytic_v2d
      v_k_w_0_sj_from_quadratures_1d
      v_k_w_0_sj_from_quadratures_2d
      w_0_sj_from_ka_sj
      w_0_sj_semi_analytic_recurrence_v1d
      w_0_sj_semi_analytic_recurrence_v2d