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Diffstat (limited to 'source/wg04/paper.2.tex')
| -rw-r--r-- | source/wg04/paper.2.tex | 10 |
1 files changed, 7 insertions, 3 deletions
diff --git a/source/wg04/paper.2.tex b/source/wg04/paper.2.tex index 0cbfd64..93c3a59 100644 --- a/source/wg04/paper.2.tex +++ b/source/wg04/paper.2.tex @@ -22,15 +22,19 @@ \rule[0.01cm]{17cm}{0.01cm} \end{center} -\section{Definitions} +\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} + +\section{DEFINITIONS} We assume $x \in \mathbb{R}, \quad a, b \in \mathbb{N}, \quad 0 < a < b < \cos(0)$ for: -\subsection{The S-Integral:} +\subsection{DEFINITION OF THE S-INTEGRAL:} \begin{equation} I_{1} \coloneqq \int_{a}^{b} S(x)dx \end{equation} -\subsection{The S-Function:} +\subsection{DEFINITION OF THE S-FUNCTION:} \begin{equation} S(x) = \sum_{k=1}^{t} (\frac{dx}{du}) \cdot x, \quad x > 0, \quad t > k \end{equation} |
