\documentclass[11pt,twoside,a5paper]{article} \usepackage{mfoi2016} \usepackage{amsmath, amsthm, graphicx, color, amssymb} \usepackage{latexsym} \StartPage{1} \CopyRight{2016 by FirstNamel LastNamel, FirstName2 LastName2} \Headings{FirstNamel LastNamel, et al.} {Paper Short Title} \tolerance 1000 \title{Paper Title} \author{FirstNamel LastNamel, FirstName2 LastName2} \renewcommand{\CaptionChar}{. } \begin{document} \maketitle \begin{abstract} Place here short abstract in English. Please do not exceed 100 words. \textbf{Keywords:} computer science, information technologies, conference proceedings (do not exceed 5-6 terms). \end{abstract} \section{Introduction} The authors for MFOI'2016 Conference Proceedings are requested to follow instruction given in this sample paper. This template provides authors with most of needed formatting specifications. Organizing Committee recommends preparing paper using this template style set. Your paper is required to be 6-16 pages (one page approximating A5 size). \section{Title of section} To prepare your papers for MFOI'2016 Conference Proceedings, please, use style mfoi2016.sty. The page margins and size, line spaces and text fonts are prescribed in this style. \section{Title of section} Author's affiliation (institution, address, E-mail) should be given in the bottom of the paper. In the beginning of the paper abstract and keywords should be given. Abstract should be about 100 words. Paper text may be divided in a number of sections, subsections and subsubsections. Equations should be centered and labelled. Equation numbers, within parentheses, are to position flush right, as in Eq. (\ref{eq1}). \begin{equation} \label{eq1} \frac{\partial ^2i}{\partial x^2}=\frac{LC}{\left( {\Delta {\kern 1pt}x} \right)^2}\frac{\partial ^2i}{\partial t^2}+\frac{L}{\left( {\Delta {\kern 1pt}x} \right)^2R}\frac{\partial i}{\partial t} \end{equation} Larger equation must be split in multiple lines, as in Eq. (\ref{eq2}). Number equations consecutively. \[ S(x)=f_i +(f_{i+1} -f_i )t+\frac{h_i^2 M_i (1-t)((1-t)^{\alpha _i }-1)}{\alpha _i (\alpha _i +1)}+ \] \begin{equation} \label{eq2} +\frac{h_i^2 M_{i+1} t(t^{\alpha _i }-1)}{\alpha _i (\alpha _i +1)} \end{equation} where the following notations are used: \[ t=(x-x_i )/h_i ,h_i =x_{i+1} -x_i ,S"(x_i )=M_i . \] All figures must be stored in *.eps format with the minimum resolution of 300 dpi. Each figure must have a caption under the figure (see Fig.1). \begin{figure}[htbp] \centerline{\includegraphics[width=8.3cm,height=3.38cm]{fig1.eps}} \label{fig1} \caption{Caption for Figure 1.} \end{figure} When you refer to an equation, a figure, a table, a section or literature references in the text of the paper please use the following expressing: Eq. (\ref{eq1}), Eqs. (\ref{eq1}) and (\ref{eq2}), Fig. 1, Figs. 1 and 2, Table 1, Tables 1 and 2, Section 1, [1], [2, 4-7]. \section{Title of section} Below there is example for Definition, Theorem and Corollary layout. Also pattern for Example and Table are given. These layouts are recommended, but not obligatory. \subsection{Example of subsection 1} \textbf{Definition 1 [3].} \textit{A vertex $y$ is called copy for vertex $x(x\ne y)$, in graph $G = (X;U)$ if $\Gamma (x)=\Gamma (y)$}. \medskip \noindent \textbf{Theorem 1 [6]. }\textit{If $T$ is a tree with at least 3 vertexes, then graph $G= L(T, T_{0})$ is $d$-convex simple and planar.} \subsection{Example of subsection 2} \textbf{Corollary 1} \textit{For a graph $K_n$ with $n\ge 3$, we have:} \[ \left\{ {{\begin{array}{*{20}c} {\overline \chi (K_n )=\frac{9k^2-7k}{3}\quad \mbox{if}\quad n=3k} \quad\quad\quad\\ {\overline \chi (K_n )=\frac{9k^2+k-2}{2}\quad \mbox{if}\quad n=3k+1} \ \ \\ {\overline \chi (K_n )=\frac{9k^2+5k-2}{2}\quad \mbox{if}\quad n=3k+2} \\ \end{array} }} \right. \] \subsubsection{Example of Subsubsection} \textbf{Example 1} \textit{Let $A=Q[x^{2}, xy] \subseteq Q[x, y]$ and use the degree lexicographical order with $x>y$. The set $F=\{x^{2}, xy\}$ is a SAGBI basis for $A$. Let $g=x^{3}y+x^{2}$ and $h=x^{4}+x^{2}y^{2}$ in $A$. A Hilbert basis for the set of solutions of the equation (3) is:} \[ {\begin{array}{*{20}c} {\vec {v}_1 =(0,0,1,0,1,0),} \hfill & {\vec {v}_2 =(0,1,0,1,0,0),} \hfill & {\vec {v}_3 =(0,2,0,0,0,1),} \hfill \\ {\vec {v}_4 =(1,0,0,1,1,0),} \hfill & {\vec {v}_5 =(1,1,0,0,1,1),} \hfill & {\vec {v}_6 =(2,0,0,0,2,1).} \hfill \\ \end{array} } \] Thus $PV=\{\vec {v}_5 \}$, so by Algorithm 1 a syzygy family for $(g, h)$ is $\{G^{(1,1,0)}-H^{(0,1,1)}\}=\{-x^{3}y^{3}+x^{4}\}$. Tables must have caption located above the table (see Table 1). \begin{table}[htbp] \caption{Distances between image feature vectors} \vspace{3mm} \begin{tabular} {|p{34pt}|p{44pt}|p{44pt}|p{44pt}|p{44pt}|p{44pt}|} \hline & $V(I_{1} )$& $V(I_{2} )$& $V(I_{3} )$& $V(I_{4} )$& $V(I_{5} )$ \\ \hline $V(I_{1} )$& 0& 571.3183& 293.0381& 675.6527& 319.3169 \\ \hline $V(I_{2} )$& 571.3183& 0& 599.5098& 359.3718& 618.9163 \\ \hline $V(I_{3} )$& 293.0381& 599.5098& 0& 686.5573& 361.6215 \\ \hline $V(I_{4} )$& 675.6527& 359.3718& 686.5573& 0& 712.8829 \\ \hline $V(I_{5} )$& 319.3169& 618.9163& 361.6215& 712.8829& 0 \\ \hline \end{tabular} \label{tab1} \end{table} \section{Conclusion} In this paper the instructions for preparing camera ready paper for including in the Proceedings of the International Conference MFOI'2016 is given. \textbf{Acknowledgments.} {\ldots} has supported part of the research for this paper. \begin{thebibliography}{99} \bibitem{1} Use References{\_}FOI2016 Style \bibitem{2} A.A. Waksman. \textit{Permutation Network.} Journal of the ACM, vol. 15, no 1 (1968), pp. 159--163. \bibitem{3} M. Portz. \textit{A generallized description of DES-based and Benes-based permutation generators}. LNCS, vol. 718 (1992), pp. 397--409. \bibitem{4} M. Kwan. \textit{The design of the ICE encryption algorithm.} The 4th International Workshop, Fast Software Encryption - FSE '97 Proc. LNCS, vol. 1267 (1997), pp. 69--82. \bibitem{5} B. Van Rompay, L.R. Knudsen, V. Rijmen. \textit{Differential cryptanalysis of the ICE encryption algorithm.} The 6th International Workshop, Fast Software Encryption - FSE'98 Proc. LNCS, vol. 1372 (1998), pp. 270--283. \bibitem{6} M. Sweedler. \textit{Ideal bases and valuation rings.} Manuscript, 1988. \bibitem{7} H. \"{O}fverbeck. \textit{HilbertSagbiSg, Maple packages for Hilbert, SAGBI and SAGBI-Gr\"{o}bner basis calculations}, 2005. \underline {http://www.maths.lth.se/matematiklu/personal/hans/maple}. \end{thebibliography} \vspace{2mm} \begin{center} \begin{parbox}{118mm}{\footnotesize FirstNamel LastNamel$^{1}$, FirstName2 LastName2$^{2}$ \vspace{3mm} \noindent $^{1}$Affiliation/Institution \noindent Email: \vspace{3mm} \noindent $^{2}$Affiliation/Institution \noindent Email: } \end{parbox} \end{center} \end{document}