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\title{The Ackley Problem}
\date{}

\maketitle

The \emph{Ackley} Problem \cite{ACK87} is a minimization problem.
Originaly this problem was defined for two dimensions, but the
problem has been generalized to N dimensions \cite{BAC96}.


Formally, this problem can be described as finding an string
$\vec{x}=\{x_{1},x_{2},\ldots{},x_{N}\}$, with $x_{i}\in (-32.768,
32.768)$, that minimizes the following equation:

\begin{equation}
    \mathop{F(\vec{x})}=-20\cdot exp(-0.2\sqrt{\frac{1}{n}\cdot\sum\limits_{i=1}^{n}x_{i}^{2}})
                    - exp(\frac{1}{n}\cdot\sum\limits_{i=1}^{n}\cos(2\pi
                    x_{i})) + 20 + exp(1)
\end{equation}

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