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| -rw-r--r-- | source/wg04/paper.2.tex | 11 |
1 files changed, 7 insertions, 4 deletions
diff --git a/source/wg04/paper.2.tex b/source/wg04/paper.2.tex index c5f2cd4..52ddb66 100644 --- a/source/wg04/paper.2.tex +++ b/source/wg04/paper.2.tex @@ -7,6 +7,7 @@ \usepackage{amsmath,amssymb,amsthm} \usepackage{xcolor} \usepackage{hyperref} +\usepackage{mathtools} \usepackage[margin=0.5in,top=1in,bottom=1in]{geometry} \title{Sum Analysis.} @@ -22,15 +23,17 @@ \end{center} \section{Definitions} -\subsection{The Sum Integral:} + +We assume $x \in \mathbb{R}, \quad a, b \in \mathbb{N}, \quad 0 < a < b < \cos(0)$ for: + +\subsection{The S-Integral:} \begin{equation} - \int_{a}^{b} S(x)dx, \quad \forall a, b \in \mathbb{R}, \quad 0 < a < b + I_{1} \coloneqq \int_{a}^{b} S(x)dx, \quad \forall a, b \in \mathbb{R}, \quad 0 < a < b \end{equation} -\subsection{The Sum Function:} +\subsection{The S-Function:} \begin{equation} S(x) := x^{e}, \quad x \in \mathbb{R}, \quad x > 0 \end{equation} - \end{document} |