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diff --git a/source/wg04/paper.2.tex b/source/wg04/paper.2.tex index 8bb22e8..c6adff4 100644 --- a/source/wg04/paper.2.tex +++ b/source/wg04/paper.2.tex @@ -18,30 +18,34 @@ \maketitle -\begin{center} - \rule[0.01cm]{17cm}{0.01cm} -\end{center} - \begin{abstract} The paper covers several definitions that are made to be used for sum analysis; their purpose has been kept abstract for flexibility reasons. \end{abstract} +\begin{center} + \rule[0.01cm]{17cm}{0.01cm} +\end{center} + \section{DEFINITIONS} We assume $x \in \mathbb{R}, \quad a, b \in \mathbb{N}, \quad b > a > 0$ for: \subsection{DEFINITION OF THE S-INTEGRAL:} \begin{equation} - I_{1}(a, b, u, n) \coloneqq \int_{a}^{b} S(t, u, n)dt + I_{1}(a, b, u, n) \coloneqq \int_{a}^{b} \Phi(t, u, n)dt \end{equation} -\subsection{DEFINITION OF THE S-FUNCTION:} +\subsection{DEFINITION OF THE $\Phi$-FUNCTION:} \begin{equation} - S(t, u, n) = \sum_{k=1}^{n} (\frac{dt}{du}\cdot u), \quad t > 0, \quad n > k + \Phi(t, u, n) = \sum_{k=1}^{n} (\frac{dt}{du}\cdot u), \quad t > 0, \quad n > k \end{equation} \section{INTRODUCTION} -We will develop our conditions before going to the second part of the paper. +\section{LEMMAS} + +\section{CONCLUSION} + +\section{REFERENCES} \end{document} |