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\vbox{\hbox{\footnotesize Bulletin of the \textit{Transilvania} University of Bra\c sov}}
\vbox{\hbox{\footnotesize Series III: Mathematics and Computer Science, Vol. 5(67), No. 1 - 2025, xx-xx}}
\vbox{\hbox{\footnotesize https://doi.org/10.31926/but.mif.2025.5.67.1.x}}
\vskip 1.5truecm




% TITLE
% Example:
\begin{center}
{\large{\bf THE TITLE}}
%The title must be written with capital letters  <--TITLE
\end{center}
\medskip

\begin{center}
{\bf First name1 SURNAME 1$^{*,}$\footnote{${^*}$ {\it Corresponding author}, Faculty of Mathematics and Informatics, {\it Transilvania} University of Bra\c sov,  Romania, e-mail: xxxx@xx.xx} and First name2 SURNAME 2\footnote{Faculty of Mathematics and Informatics, \textit{Transilvania} University of Bra\c sov, Romania, e-mail: xxxx@xx.xx}}
\end{center}

%({\it - The authors must be written in alphabetical order. Optionally we can indicate who is the corresponding author in the footnote.
%-The first name must be written with small letters, the surname must be written with capital letters}) 

\pagestyle{myheadings}
%Example
\markboth{First name1 Given name1 and First name2 Given name2%<---Author{s)
}{The short title}%<---SHORT TITLE

% In the header the first names and the surnames must be written with small letters (exccepting the first letter). Also the title of the paper must be written with small letters (exccepting the first letter

\bigskip

\begin{abstract}

The abstract
\\

\textit{2020 Mathematics Subject Classification:} XXXXXX, XXXXX, .... .

\textit{Key words:} term1 (phrase1), term2 (phrase2), .... .
% The key words must be written with small letters comma separated
\end{abstract}

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% First section:
\section{Introduction}
% The name of the sections must be written with small letters (exccepting the first letter
text


\section{Main results}

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\begin{equation} \label{gruais1} x+1=y
\end{equation}



% Citation of a relation 
From (\ref{gruais1}) we find ...\\

The sets of numbers (positive integers, integers, rational numbers, real numbers, complex numbers):
\begin{equation} \label{gruais2} \n \subset \z \subset \q \subset \r \subset \co
\end{equation}


%New section:
\section{The case of tubular layers}

% Definition, Lemma, Theorem, Corollary , Remark (examples):

\begin{definition}\label{D1}
We name ...
\end{definition}

\begin{lemma} The following statement holds: 
$$ x^2\geq 0,\ \forall\ x\in\r .$$
\end{lemma}
\begin{proof}

.....

\end{proof}

\begin{theorem}\label{T1} 
Let $(x_n)_{n\geq 0}$ be ...
\end{theorem}
\begin{proof}

.....

\end{proof}

\begin{corollary}\label{C1}
We have:
$$ \left|\begin{array}{cc}a&b\\2a-b&a\end{array}\right|\geq 0,\ \forall\ a,b\in\r.$$ 
\end{corollary}
\begin{proof}

.....

\end{proof}

\begin{remark}\label{R1}
{\rm Note that...}
\end{remark}

% Citation from References (example):
From Theorem \ref{T1}


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\begin{thebibliography}{99}

%Example book:
\bibitem{Chen}
Chen, B.Y., \emph{Geometry of submanifolds}, M. Dekker, New York, 1973.

%Example article: 
\bibitem{Mihai} 
Mihai, I., \emph{Ideal slant submanifolds}, Rocky Mount. J. Math. {\bf 53} (2005), 722-730. 

%Example article: 
\bibitem{Mihai} 
Mihai, I., \emph{Ideal slant submanifolds}, Rocky Mount. J. Math. {\bf 53} (2005), no. 1, 722-730. 

%Example proceedings:
\bibitem{Sofonea} 
Sofonea, M., Han, W. and Shillor, M., 
\emph{Numerical analysis of a frictional contact problem for viscoelastic materials with long-term memory}, 
Numerical mathematics and advanced applications. Proc. of ENUMATH 2005, the 6th European conf. on numerical math. and adv. appl., Santiago de Compostela, Spain, July 18-22, 2005 (Eds. Berm\' udez de Castro, Alfredo et al.),  Berlin, Springer, 1099-1107, 2006.

%In References the titles must be written with small letters and alphabetically ordered
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% Use the official journal abbreviations
\end{thebibliography}
\newpage
\par\ \\

\end{document}
