compute_sigma_jets_trs ====================== .. py:function:: t3toolbox.backend.sampling_derivatives.compute_sigma_jets_trs(var_tt_cores, right_tt_cores, down_tt_cores, xi_jets, dxi_jets, mu_jets, trs) .. code-block:: python def compute_sigma_jets_trs( var_tt_cores: typ.Sequence[NDArray], # dG. len=d, elm_shape=K+C+(rLi,nUi,rR(i+1)) right_tt_cores: typ.Sequence[NDArray], # Q. len=d, elm_shape=C+(rRi,nUi,rR(i+1)) down_tt_cores: typ.Sequence[NDArray], # O. len=d, elm_shape=C+(rLi,nOi,rR(i+1)) xi_jets: typ.Sequence[NDArray], # frame input jets, len=d, elm_shape=(2,)+W+C+(nUi,) dxi_jets: typ.Sequence[NDArray], # var input jets, len=d, elm_shape=(2,)+W+K+C+(nOi,) mu_jets: typ.Sequence[NDArray], # frame left jets, len=d, elm_shape=(order+1,)+W+C+(rLi,) trs: NDArray, # binomial tensor, shape=(order+1,order+1,order+1) ) -> typ.Tuple[NDArray, ...]: # sigma_jets. len=d, elm_shape=(order+1,)+W+K+C+(rR(i+1),) Variation-leftward edge-variable jets sigma (the jet-ified Algorithm-7 sigma recursion). ``sigma_i = sigma_{i-1} Q_i(xi_i) + mu_{i-1} dG_i(xi_i) + mu_{i-1} O_i(dxi_i)`` -- three pushthroughs (``'trs,rWCa,Caib,sWCi->tWCb'``): the carried sigma jet through Q, and the frame mu jet through the variation core dG and the down frame O. Boundary ``sigma_0 = 0`` (all orders).