F-SET simplifies, as well as broadens, key therapeutic elements of empirically validated treatments for anxiety disorders to allow for easier delivery to heterogeneous groups of patients with anxiety psychopathology.
Thus, (A.3) simplifies as (A.4).
The expression for the tunneling or transmission time simplifies as τ n, res = − a m A 2 E − nℏ α I 1 − α R 2 d α R dE. (5).
For Kobayashi-hyperbolic manifolds, the statement of Proposition 4.12 significantly simplifies as one must exclude ({mathbb {C}}^{N-1}), ({mathbb {C}}{mathbb {P}}^{N-1}) from parts (ii), (iii), and part (iv) becomes irrelevant.
Using OGJ complexity factors for the process units (CFVDU = 2, CFCCR = 5, CFHT = 2, CFASH = 1.5), the refinery complexity relation simplifies as CI(Q 0) = 1 + 37.2/Q 0 (Fig. 17).
Equation 1 simplifies as begin{aligned} IG_i = w_i (Gini_D - Gini_i) end{aligned} (2)In this first passage, we can also obtain the frequency of the classes in the entire dataset, which is used in the CAP-growth's extraction phase.
