Nonzero components of the Eddington tensor in the exact maximum-entropy HM closure (D_ij) and the approximate closure introduced in this work ($D_{ij}^{\text{approx}}$). The bottom row shows the difference between the two. Solid lines highlight the bounds given by Eqs. (21) and (22), while dotted lines correspond to f = 1/2. The isotropic and free-streaming limits correspond to (f_∥, f_⊥) = (1/2, 0) and f = 1, respectively. Here (f_∥, f_⊥) is defined as (f_z, f_x). The components shown are computed assuming zero y-flux, which suffices to represent all other flux directions, as is shown in Appendix A.