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Diffstat (limited to 'source')
| -rw-r--r-- | source/wg04/paper.tex | 19 |
1 files changed, 9 insertions, 10 deletions
diff --git a/source/wg04/paper.tex b/source/wg04/paper.tex index 13b4faf..2aa892d 100644 --- a/source/wg04/paper.tex +++ b/source/wg04/paper.tex @@ -22,21 +22,20 @@ \rule[0.01cm]{17cm}{0.01cm} \end{center} -\section{Formulas definitions} +\section{Definitions} -Let us define four formulas using the definitons below: -We assume $x \in \mathbb{R}, \quad n \in \mathbb{N}, \quad 0 < k < a < b < 1$ -\subsection{Sum Integral:} +We assume $x, y, z \in \mathbb{R}, \quad n \in \mathbb{N}, \quad \cos(\pi) < a < b < \cos(0), \quad t = a$ +\subsection{The A-Integral:} \begin{equation} - I_{1} \coloneqq n \int_{a}^{b} S(x) dx + I_{1} \coloneqq \sum_{n}^{t} \int_{a}^{b} S(x) dx \end{equation} -\subsection{Sum Formula:} +\subsection{The A-Function:} \begin{equation} - S(x) \coloneqq \cos(x)\times\sin(x) + S(x) : (x, y) \to \mathbb{R} \end{equation} -\subsection{Sum Equation:} +\subsection{The A-Equation:} \begin{equation} - I_{2} \coloneqq \int_{k}^{a} Z(x)dx, \quad Z(x) := (S(x) \times x) + T_{2} \coloneqq \int_{a}^{b} E_{1}dx, \quad E_{1} = Z(x) := \frac{(S(x) \cdot y)}{\Delta t \cdot z} \end{equation} -\end{document} +\end{document} |