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This also verifies the regularity of band gap evolution changing with thickness obtained via SE before.
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We first verify the items in Assumption 1 (regularity): For each state π, the corresponding set of action a is a point in [ ε,1] N, which is compact; From (30), the reward function r s,a) is bounded by begin{array}rcl@ &&left|r(mathbf{a}(t),pi(t))right| &leq&sumlimits_{n=1}^{N}H(Y_{n}(t)|mu_{n}(t)) &leq&sumlimits_{n=1}^{N}I_{n,max}+n.
In addition, the continuity, such as ((eta, u,q in C^{0}([0,T],H^{7}times H^{6}timathcal{})), (mathcal{G}(t)) and so on, can be verified by using the regularity of ((eta,u,q)), the transformed MHD equations and a standard regularized method.
We cannot verify the footage.
Verify the dosage.
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