An ideal electron donor is one whose degree of reductance and Gibbs free energy of dissipation are close to the regularity values observed by Minkevich and Eroshin [ 56].
If a permanent secretary believes a spending decision breaches any of the Treasury criteria of regularity, propriety, value for money, and feasibility, as Accounting Officer they must ask for a written direction to continue from the Secretary of State.
We obtain the local well-posedness for the Cauchy problem with low regularity initial value data by the Fourier restriction norm method.
Such a point, indicated with a rectangle point in Fig. 7, is supposed to provide, in terms of accuracy and regularity, the value of the parameter corresponding to the most balanced perturbed solution of the inverse problem.
These results concern, inter alia, infinite products, nonexpansive mappings, approximate fixed points, contractive mappings, bounded linear regularity, set-valued mappings, holomorphic mappings and weak ergodic theorems.
ApEn was pioneered by Pincus [ 111] as a measure of system complexity; smaller values indicate greater regularity, and greater values convey more disorder, randomness and system complexity.
The joint observation of TH and PO values posed a very important and common regularity: maximal TH values in the fractions not only coincided with the maximal PO values but also a coincidence of the dynamics of the distribution of their values according to the fractions of the frozen and melted water samples was observed (Fig. 1).
These so called distance estimates have wide-spread application in state constrained optimal control, including justifying the use of the Maximum Principle in normal form and establishing regularity properties of value functions.
The regularity of the value function and the optimal dividend policy are studied as well.
However, when following this approach, it is more difficult to obtain the desired regularity of the value function.
