... Grants . ... Main Grants . ... The evolution of the spatial and temporal distribution of the intensity of the light field and the induced refractive index changes in a condensed medium upon filamentation of femtosecond laser radiation have been studied. ... In studies of the interaction of the filaments it was found that the interference of the light fields in convergent beams plays the main role in the space-time evolution of the pulse and laser induced plasma channels under multiple filamentation....
... 000, 113 (2010) Printed 21 September 2011 A (MN L TEX style file v2.2) A universal ultraviolet-optical colourcolourmagnitude relation of galaxies I1gor V. Chilingarian1,2, and Ivan Yu. ... Received 2011 Sep 15; in original form 2011 Feb 6 ABSTRACT The bimodal galaxy distribution in the optical colourmagnitude diagram (CMD) comprises a narrow "red sequence" populated mostly by early-type galaxies and a broad "blue cloud" dominated by star-forming systems. ...
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
Application of the V--Ray Technology for Optimization of the TRFD and FLO52 Perfect Club Benchmarks to CRAY Y--MP and CRAY T3D Supercomputers Alexander S. Antonov, Vladimir V. Voevodin Moscow State University, Russia email: voevodin@vvv.srcc.msu.su Abstract The paper shows an application of the socalled V Ray Technology for optimizing the TRFD and FLO52 Perfect Club Benchmarks to CRAY Y--MP and CRAY T3D supercomputers. ... Results for CRAY YMP supercomputers. al structure of the program. ...
... A new mechanism governing the dynamics of territory changing between groups of people such as countries is proposed based on trading with approval of both sides under particular voting rule (veto rule, majority rule, etc.) ... A state equation is obtained based on particular personal utility function. ... The countries which have approximately the same marginal 4 utility of the territory at the border would fight rather than trade as a result of equilibrium in the corresponding game. ...
... We also prove some a generalization of the KauffmanMurasugiThistlethwaite theorem on "minimal diagrams" for graph-links. ... Virtual trefoil. ... Introduction to Graph-Link Theory 799 Conversely, having a connected virtual diagram K (with at least one classical crossing) with oriented atom, one can get a labeled chord diagram. ... We conjecture that the graph-link represented by BW3 has no "realizable" representatives which correspond to classical or virtual diagrams via chord diagrams. ...
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