We extend our previous EXAFS investigations on the relationship between magnetization and local distortions to the bilayer materials La2-2ccSri+2ccMn2 07 and to higher magnetic fields, for quasicubic Lao.7Cao.3Mn03. For each, there is a significant change in the broadening parameter a of the Mn-O pair distribution function (PDF) associated with polaron formation as T is increased through T c . ...

1. Proofs In this section we derive the proofs of all propositions in the main paper. Proposition 1. The AD entropy of the generalized distribution of y can be written as the sum of the negative log-likelihood of y and the AD entropy of the conditional distribution of the hidden variable given the output, Hα,β(Q y x ;w) = − logP (y|x,w) +Hα,β(P y x ;w). (1) Proof. The AD entropy of the generali...

In the present study, peculiarities of local heat treatment with a concentrated light energy flow non-metallic materials are traced. Mathematical dependences presented for determining surface density absorbed power - W(r), thermal Po, and other characteristics in case impact on flow.