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4 changes: 2 additions & 2 deletions book/perc.tex
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Expand Up @@ -74,7 +74,7 @@ \section{Bio-inspired Learning}
\begin{equation} \label{eq:perc:sum}
a = \sum_{d=1}^D w_d x_d
\end{equation}
to determine it's amount of ``activation.'' If this activiation is
to determine its amount of ``activation.'' If this activiation is
positive (i.e., $a > 0$) it predicts that this example is a positive
example. Otherwise it predicts a negative example.

Expand Down Expand Up @@ -312,7 +312,7 @@ \section{Geometric Intrepretation}
\Figure{perc:geom}{picture of data points with hyperplane and weight vector}

This is shown pictorially in Figure~\ref{fig:perc:geom}. Here, the
weight vector is shown, together with it's perpendicular plane. This
weight vector is shown, together with its perpendicular plane. This
plane forms the decision boundary between positive points and negative
points. The vector points in the direction of the positive examples
and away from the negative examples.
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