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
... 0P ( E) , .. [7]: 0p ( E) = 2.72 max E-U min E-U min exp U -U U max -U min max min (21) Umax , (max) p. jp Uminjp , Umaxjp maxjp : 11 0p ( E) = 2.72 E-U max jp min jp min jp U max -U E-U min exp U max jp -U jp min jp (22) ( ) [6]: (23) pj(E)E =jp(E+Ujp)( E+Ujp), , U0p = Up0 = Umin : p 0(E)=2.72 max E+U min exp U U max -U min E max -U minpj min , (24) , Ujp = Upj = U : pj ( E) = 2.72 E+U max jp min jp min jp E -U , U max jp -U exp U (25) max jp min jp max Umax, (21 25), [4,8], , .. ... Nemin . ...
1, 120101 (2012) : . 119991, , , . ... Alternative core environmental mo dule for students : features of the foundations of ecology from the physics p ositions V. A. Gordienko 1 1,a , K. V. Pokazeev 2,b , M. V. Starkova 3,c 3 M. V. Lomonosov Moscow State University, Physical Faculty, Department of Acoustics. ... Keywords : ecology and environmental management, environmental education, a systematic approach to the ecology and current environmental problems, modeling and prediction in ecology. ...
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. ...