Introduction to PLASMA ASTROPHYSICS (Selected 10 lectures) Boris V. Somov Astronomical Institute and Faculty of Physics Moscow State University Pushino-na-Oke, 2008 Contents Ab out These Lectures 1 Particles and Fields: Exact Self-Consistent Description 1.1 Liouville's theorem . . . . . . . . . . . . . . . . . . . 1.1.1 Continuity in phase space . . . . . . . . . 1.1.2 The character of particle interactions 1.1.3 The Lorentz force, gravity . . . . . . . . . 1.1.4 Collisional friction . . . . . . . . . . . .
404. http://oc.cs.msu.su/smirnov/PPP/beameruserguide.pdf
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
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414. http://2012.cs.msu.ru/printpdf/1
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417. http://inno.cs.msu.su/printpdf/1
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419. http://mailybaev.imec.msu.ru/papers/MarchesinMailybaev2005.pdf
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. ...
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