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diff --git a/source/wg04/paper.tex b/source/wg04/paper.tex index d2fd47e..5ade708 100644 --- a/source/wg04/paper.tex +++ b/source/wg04/paper.tex @@ -42,17 +42,17 @@ We assume $x, y, z \in \mathbb{R}, \quad n \in \mathbb{N}, \quad \cos(\pi) < a < \end{equation} \subsection{DEFINITION OF THE A-EQUATION:} \begin{equation} - I_{2}(x, y, z, a, b, \Delta t) \coloneqq \int_{a}^{b} (E_{1}(x, y, z, \Delta t))dx, \quad E_{1}(x, y, z, \Delta t) := \frac{(S(x) \cdot y)}{\Delta t \cdot z} + I_{2}(y, z, a, b, \Delta t) \coloneqq \int_{a}^{b} (E_{1}(x, y, z, \Delta t))dx, \quad E_{1}(x, y, z, \Delta t) := \frac{(S(x) \cdot y)}{\Delta t \cdot z} \end{equation} Where $\Delta t \in \mathbb{R}$ if and only if $0 < \Delta t$. \subsection{DEFINITION OF THE K-EQUATION:} \begin{equation} K_{n}(u_{n}, a, b) \coloneqq \int_{a}^{b} S_{n}(u_{n}) \quad d \cdot u_{n}, \quad \forall u_{n} \in \mathbb{R} \end{equation} -Where $K_{n} > 0$ such that $S_{n}(u_{n})$ is the A-Function at index $n$ of $u$. +Where $K_{n} > 0$ and $S_{n}(u_{n})$ is an A-Function of index $n$ at $u$. \section{INTRODUCTION} -We will in this paper introduce several equations and their usages in analysis. +We will in the paper, introduce several equations, and their usages in analysis. \end{document} |