Workshop materials: comparison day2/session1.tex

equal deleted inserted replaced

-:1f9492506ba2
+:2281002b579b
 \item arbitrary dimensionality
 \item \typ{arr.shape}: size in each dimension
 \item \alert{Note:} \typ{len(arr) != arr.size} in general
 \item \alert{Note:} By default array operations are performed
 \alert{elementwise}
-\item Indices, slicing: just like lists
 \end{itemize}
 \end{frame}
 \begin{frame}[fragile]
 1 8
 >>> x[0] = 10
 >>> print x[0], x[-1]
 10.0 4.0
 \end{lstlisting}
-\inctime{10}
 \end{frame}
 \begin{frame}[fragile]
 \frametitle{Multi-dimensional arrays}
 \begin{lstlisting}
 a)} etc.
 \item Logical operations: \typ{equal (==)}, \typ{not\_equal (!=)},
 \typ{less (<)}, \typ{greater (>)} etc.
 \item Trig and other functions: \typ{sin(x), arcsin(x), sinh(x),
 exp(x), sqrt(x)} etc.
-\item \typ{sum(x, axis=0), product(x, axis=0)}
+\item \typ{sum(x, axis=0), product(x, axis=0), dot(a, bp)}   \inctime{10}
-\item \typ{dot(a, bp)}
 \end{itemize}
-\inctime{10}
 \end{frame}
 \subsection{Array Creation \& Slicing, Striding Arrays}
 \begin{frame}[fragile]
 \frametitle{Array creation functions}
 >>> a[1:,1:]
 array([[5, 6],
 [8, 9]])
 >>> a[:,2]
 array([3, 6, 9])
+>>> a[...,2]
+array([3, 6, 9])
 \end{lstlisting}
 \end{frame}
 \begin{frame}[fragile]
 \frametitle{Striding arrays}
 >>> A=misc.imread(name)
 >>> misc.imshow(A)
 \end{lstlisting}
 \begin{enumerate}
 \item Convert an RGB image to Grayscale. $ Y = 0.5R + 0.25G + 0.25B $
+\item Scale the image to 50\%
+\item Introduce some random noise?
 \end{enumerate}
 \inctime{15}
 \end{frame}
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 \inctime{25}
 \end{frame}
 \begin{frame}
-\frametitle{Problem set 1.0}
+\frametitle{Problem Set}
 \begin{enumerate}
 \item Write a function that plots any n-gon given \typ{n}.
 \item Consider the logistic map, $f(x) = kx(1-x)$, plot it for
 $k=2.5, 3.5$ and $4$
 \end{enumerate}
 \end{frame}
-\begin{frame}
+\begin{frame}[fragile]
-\frametitle{Problem set 1.1}
+\frametitle{Problem Set}
-\begin{enumerate}
+\begin{columns}
+\column{0.6\textwidth}
+\small{
+\begin{enumerate}
 \item Consider the iteration $x_{n+1} = f(x_n)$ where $f(x) =
 kx(1-x)$.  Plot the successive iterates of this process.
 \item Plot this using a cobweb plot as follows:
 \begin{enumerate}
 \item Start at $(x_0, 0)$
 \item Draw line to $(x_i, f(x_i))$;
 \item Set $x_{i+1} = f(x_i)$
 \item Draw line to $(x_i, x_i)$
 \item Repeat from 2 for as long as you want
 \end{enumerate}
-\end{enumerate}
+\end{enumerate}}
-\end{frame}
+\column{0.35\textwidth}
+\hspace*{-0.5in}
-\begin{frame}
+\includegraphics[height=1.6in, interpolate=true]{data/cobweb}
-\frametitle{Problem set 1.2}
+\end{columns}
-\begin{enumerate}
+\inctime{20}
+\end{frame}
-\item Plot the Koch snowflake.  Write a function to generate the
-necessary points given the two points constituting a line.
-\pause
-\begin{enumerate}
-\item Split the line into 4 segments.
-\item The first and last segments are trivial.
-\item To rotate the point you can use complex numbers,
-recall that $z e^{j \theta}$ rotates a point $z$ in 2D
-by $\theta$.
-\item Do this for all line segments till everything is
-done.
-\end{enumerate}
-\item Show rate of convergence for a first and second order finite
-difference of sin(x)
-\end{enumerate}
-\inctime{30}
-\end{frame}
 \end{document}

changeset 9	2281002b579b
parent 6	1f9492506ba2
child 10	84c3f600045f