.. _responses-mixed_gradients-id_numerical_gradients: """""""""""""""""""""" id_numerical_gradients """""""""""""""""""""" Identify which numerical gradient corresponds to which response **Topics** objective_function_pointer .. toctree:: :hidden: :maxdepth: 1 **Specification** - *Alias:* None - *Arguments:* INTEGERLIST **Description** The ``id_analytic_gradients`` list specifies by number the functions which have analytic gradients, and the ``id_numerical_gradients`` list specifies by number the functions which must use numerical gradients. Each function identifier, from 1 through the total number of functions, must appear once and only once within the union of the ``id_analytic_gradients`` and ``id_numerical_gradients`` lists.