The master equation and, more generally, Markov processes are routinely used as models for stochastic processes. They are often justified on the basis of randomization and coarse-graining assumptions. Here instead, we derive nth-order Markov processes and the master equation as unique solutions to an inverse problem. We find that when constraints are not enough to uniquely determine the stochas...

The configuration of mitiromycin (2) was first determined by NMR experiments including the NOE technique. The absolute structure of 2 was related to mitomycin B (3) because 2 was derived from 3 under basic conditions. The ketonic form 4 was presumed to be involved in the generation of 2.

A unified analytic solution approach to both static bending and free vibration problems of rectangular thin plates is demonstrated in this paper, with focus on the application to corner-supported plates. The solution procedure is based on a novel symplectic superposition method, which transforms the problems into the Hamiltonian system and yields accurate enough results via step-by-step rigorou...

The expressions foavibrational overlap integrals of the one-dimensional harmonic wavefunctions (centenxi about different equilibrium positions and having different frequencies) have been derived in a simple and straightforward way.

We prove that unital-derived ðq qþ 1Þ-arcs of PGð2; qÞ still yield complete arcs after multiple derivation with respect to disjoint derivation sets on a given line.