Dual-family viscous shock waves in n conservation laws with application to multi-phase flow in porous media Dan Marchesin and Alexei A. Mailybaev August 22, 2005 Abstract We consider shock waves satisfying the viscous profile criterion in general systems of n conservation laws. ... We explicitly introduce defining equations relating states and speeds of Si,j shocks, which include the RankineHugoniot conditions and additional equations resulting from the viscous profile requirement. ...
... Cleo batch system is purposed to control parallel tasks on computer clusters. It controls one or more task queues. tasks sceduling (all MPI implemetations are supported, most other parallel environments are supported too) . ... controllable user limits (max used cpus, task work time, etc.) . ... Any task in main will be queued to daughter queues if there aren't enough free own cpus (not shared with daughters). When daughter queues will get enough cpus for this task, it will be runned in main . ...
The beamer class Manual for version 3.06. \begin{frame} \frametitle{There Is No Largest Prime Number} \framesubtitle{The proof uses \textit{reductio ad absurdum}.} \begin{theorem} There is no largest prime number. \end{theorem} \begin{proof} \begin{enumerate} \item<1-| alert@1> Suppose $p$ were the largest prime number. \item<2-> Let $q$ be the product of the first $p$ numbers. \item<3-> Then $q+1$ is not divisible by any of them. \item<1-> Thus $q+1$ is also prime and greater than $p$.\qedhere