Changeset 305 for trunk/documentation/Test Functions/TestFunctions.tex

Timestamp:

06/06/08 12:51:19 (16 years ago)

Author:

swagner

Message:

Updated template document for description of real valued test functions

File:

• trunk/documentation/Test Functions/TestFunctions.tex (modified) (2 diffs)

trunk/documentation/Test Functions/TestFunctions.tex

@@ -21 +21 @@
   \section*{Ackley Function}
     \begin{equation*}
-      f(x) = 20 + e - 20 \cdot e^{\frac{1}{5} \sqrt{\frac{1}{n} \sum_{i=1}^n x_i^2}} - e^{\frac{1}{n} \sum_{i=1}^n \cos(2 \pi x_i)}
+      f(x) = 20 + e - 20 \cdot e^{-\frac{1}{5} \sqrt{\frac{1}{n} \sum_{i=1}^n x_i^2}} - e^{\frac{1}{n} \sum_{i=1}^n \cos(2 \pi x_i)}
     \end{equation*}
 
@@ -30 +30 @@
       \textbf{Global Optimum:} \> $f(x) = 0.0$ at $x = (0.0, 0.0, \dots, 0.0)$ \\
       \textbf{Operator:}       \> AckleyEvaluator \\
-      \textbf{Chart:}          \> \\
+      \textbf{Charts:}         \> \\
     \end{tabbing}
 
     \begin{center}
-      \includegraphics[width=0.6\textwidth]{Images/Ackley}
+      \includegraphics[width=0.45\textwidth]{Images/Ackley_large}
+      \hfill
+      \includegraphics[width=0.45\textwidth]{Images/Ackley_small}
     \end{center}
 
-  \section*{Beale Function}
+  \section*{Griewangk Function}
     \begin{equation*}
-      f(x) = (1.5 - x_1 (1 - x_2))^2 + (2.25 - x_1 (1 - x_2^2))^2 + (2.625 - x_1 (1 - x_2^3))^2
+      f(x) = 1 + \sum_{i=1}^n \frac{x_i^2}{4000} - \prod_{i=1}^n cos(\frac{x_i}{\sqrt i})
     \end{equation*}
 
     \begin{tabbing}
       \hspace{5cm}\=\kill
-      \textbf{Dimensions:}     \> $2$ \\
-      \textbf{Domain:}         \> $-4.5 \leq x_i \leq 4.5$ \\
-      \textbf{Global Optimum:} \> $f(x) = 0.0$ at $x = (3.0, 0.5)$ \\
-      \textbf{Operator:}       \> BealeEvaluator \\
-      \textbf{Chart:}          \> \\
+      \textbf{Dimensions:}     \> $n$ \\
+      \textbf{Domain:}         \> $-600.0 \leq x_i \leq 600$ \\
+      \textbf{Global Optimum:} \> $f(x) = 0.0$ at $x = (0.0, 0.0, \dots, 0.0)$ \\
+      \textbf{Operator:}       \> GriewangkEvaluator \\
+      \textbf{Charts:}         \> \\
     \end{tabbing}
 
     \begin{center}
-      \includegraphics[width=0.6\textwidth]{Images/Ackley}
+      \includegraphics[width=0.45\textwidth]{Images/Griewangk_large}
+      \hfill
+      \includegraphics[width=0.45\textwidth]{Images/Griewangk_small}
     \end{center}
 
-
-
 \end{document}