Optimal control of transverse vibration of a moving string with time-varying lengths

<p style='text-indent:20px;'>In this article, we are concerned with optimal control for the transverse vibration of a moving string with time-varying lengths. In the fixed final time horizon case, the Pontryagin maximum principle is established for the investigational system with a moving boundary, owing to the Dubovitskii and Milyutin functional analytical approach. A remark then follows for discussing the utilization of obtained necessary optimality condition.</p>

The Post Office Horizon IT scandal and the presumption of the dependability of computer evidence

The Post Office Horizon scandal attracted my interest because of my extensive experience in IT audit and software testing. I have worked on fraud investigations, and also on developing and testing complex financial systems. The Horizon case covered many issues of which I have experience. I was dismayed at the Post Office’s poor control over their systems and their unprofessional conduct in investigations. However, the presumption of computer dependability, which both they, and the courts, relied upon to secure convictions, truly shocked me. All of my experience has taught me that this presumption is naïve and unjustifiable. This is a personal response to the Post Office Horizon scandal. Index words: Post Office Horizon scandal; fraud investigations; poor control; presumption of computer dependability

Black hole thermodynamics under the generalized uncertainty principle and doubly special relativity

We investigate the effect of the generalized uncertainty principle on the thermodynamic properties of the topological charged black hole in anti-de Sitter space within the framework of doubly special relativity. Our study is based on a heuristic analysis of a particle which is captured by the black hole. We obtain some thermodynamic properties of the black hole including temperature, entropy, and heat capacity in the spherical horizon case.