| changeset 20 | 84458ebb6951 |
| parent 12 | 996fb264fbe2 |
| child 34 | 5218871f98f4 |
| 19:be0f830bdb71 | 20:84458ebb6951 |
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49 } |
49 } |
50 \newcounter{time} |
50 \newcounter{time} |
51 \setcounter{time}{0} |
51 \setcounter{time}{0} |
52 \newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}} |
52 \newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}} |
53 |
53 |
54 \newcommand{\typ}[1]{\texttt{#1}} |
54 \newcommand{\typ}[1]{\lstinline{#1}} |
55 |
55 |
56 \newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} } |
56 \newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}} } |
57 |
57 |
58 %%% This is from Fernando's setup. |
58 %%% This is from Fernando's setup. |
59 % \usepackage{color} |
59 % \usepackage{color} |
72 |
72 |
73 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
73 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
74 % Title page |
74 % Title page |
75 \title[]{Matrices and Arrays\\ \& \\2D Plotting} |
75 \title[]{Matrices and Arrays\\ \& \\2D Plotting} |
76 |
76 |
77 \author[Asokan \& Prabhu] {Asokan Pichai\\Prabhu Ramachandran} |
77 \author[FOSSEE Team] {Asokan Pichai\\Prabhu Ramachandran} |
78 |
78 |
79 \institute[FOSSEE] {FOSSEE Team} |
79 \institute[FOSSEE] {FOSSEE Team} |
80 \date[] {11, October 2009} |
80 \date[] {11, October 2009} |
81 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
81 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% |
82 |
82 |
212 \begin{frame}[fragile] |
212 \begin{frame}[fragile] |
213 \frametitle{Array math} |
213 \frametitle{Array math} |
214 \begin{itemize} |
214 \begin{itemize} |
215 \item Basic \alert{elementwise} math (given two arrays \typ{a, b}): |
215 \item Basic \alert{elementwise} math (given two arrays \typ{a, b}): |
216 \typ{+, -, *, /, \%} |
216 \typ{+, -, *, /, \%} |
217 \item Inplace operators: \typ{a += b}, or \typ{add(a, b, |
217 \item Inplace operators: \typ{a += b}, or \typ{add(a, b, a)} etc. |
218 a)} etc. |
218 \item \typ{sum(x, axis=0)}, |
219 \typ{product(x, axis=0)}, |
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220 \typ{dot(a, bp)} |
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221 \end{itemize} |
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222 \end{frame} |
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223 |
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224 \end{frame} |
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225 \begin{frame}[fragile] |
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226 \frametitle{Array math cont.} |
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227 \begin{itemize} |
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219 \item Logical operations: \typ{equal (==)}, \typ{not\_equal (!=)}, |
228 \item Logical operations: \typ{equal (==)}, \typ{not\_equal (!=)}, |
220 \typ{less (<)}, \typ{greater (>)} etc. |
229 \typ{less (<)}, \typ{greater (>)} etc. |
221 \item Trig and other functions: \typ{sin(x), arcsin(x), sinh(x), |
230 \item Trig and other functions: \typ{sin(x),} |
222 exp(x), sqrt(x)} etc. |
231 \typ{arcsin(x), sinh(x),} |
223 \item \typ{sum(x, axis=0), product(x, axis=0), dot(a, bp)} \inctime{10} |
232 \typ{exp(x), sqrt(x)} etc. |
224 \end{itemize} |
233 \end{itemize} |
234 \inctime{10} |
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225 \end{frame} |
235 \end{frame} |
226 |
236 |
227 \subsection{Array Creation \& Slicing, Striding Arrays} |
237 \subsection{Array Creation \& Slicing, Striding Arrays} |
228 \begin{frame}[fragile] |
238 \begin{frame}[fragile] |
229 \frametitle{Array creation functions} |
239 \frametitle{Array creation functions} |
240 \begin {block}{\typ{array(object, dtype=None, ...)}} |
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241 \begin{lstlisting} |
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242 >>> array( [2,3,4] ) |
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243 array([2, 3, 4]) |
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244 \end{lstlisting} |
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245 \end {block} |
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246 \begin{block}{\typ{linspace(start, stop, num=50, ...)}} |
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247 \begin{lstlisting} |
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248 >>> linspace( 0, 2, 4 ) |
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249 array([0.,0.6666667,1.3333333,2.]) |
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250 \end{lstlisting} |
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251 \end{block} |
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230 \begin{itemize} |
252 \begin{itemize} |
231 \item \typ{array(object, dtype=None, \ldots)} |
253 \item also try \typ{arange} command |
232 \item \typ{arange(start, stop=None, step=1 \ldots)} |
254 \end{itemize} |
233 \item \typ{linspace(start, stop, num=50, \ldots)} |
255 \end{frame} |
234 \item \typ{ones(shape, dtype=None, \ldots)} |
256 |
235 \item \typ{zeros(shape, dtype=float,\ldots)} |
257 \begin{frame}[fragile] |
236 \item \typ{identity(n)} |
258 \frametitle{Array creation functions cont.} |
237 \item \typ{empty(shape, dtype=float,\ldots)} |
259 \begin{itemize} |
238 \item \typ{ones\_like(x)}, |
260 \item \typ{ones(shape, dtype=None, ...)} |
239 \item \typ{zeros\_like(x)}, \typ{empty\_like(x)} |
261 \begin{lstlisting} |
262 >>>ones([2,2]) |
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263 array([[ 1., 1.], |
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264 [ 1., 1.]]) |
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265 \end{lstlisting} |
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266 \item \typ{identity(n)} |
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267 \item \typ{ones\_like(x)} |
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268 \begin{lstlisting} |
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269 >>>a = array([[1,2,3],[4,5,6]]) |
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270 >>>ones_like(a) |
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271 array([[1, 1, 1], |
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272 [1, 1, 1]]) |
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273 \end{lstlisting} |
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274 \item check out \typ{zeros, zeros\_like, empty} |
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240 \end{itemize} |
275 \end{itemize} |
241 \end{frame} |
276 \end{frame} |
242 |
277 |
243 \begin{frame}[fragile] |
278 \begin{frame}[fragile] |
244 \frametitle{Slicing arrays} |
279 \frametitle{Slicing arrays} |
300 \section{2D Plotting} |
335 \section{2D Plotting} |
301 \subsection{Getting Started} |
336 \subsection{Getting Started} |
302 |
337 |
303 \begin{frame} |
338 \begin{frame} |
304 {IPython's \typ{pylab} mode} |
339 {IPython's \typ{pylab} mode} |
340 \begin{block}{Immediate use:} |
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341 \typ{\$ ipython -pylab} |
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342 \end{block} |
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305 \begin{itemize} |
343 \begin{itemize} |
306 \item \typ{pylab}: convenient 2D plotting interface to MPL |
344 \item \typ{pylab}: convenient 2D plotting interface to MPL |
307 \item Immediate use: \typ{ipython -pylab} |
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308 \item Imports all of pylab for you! |
345 \item Imports all of pylab for you! |
309 \item Allows for interactive plotting |
346 \item Allows for interactive plotting |
310 \end{itemize} |
347 \end{itemize} |
311 \end{frame} |
348 \end{frame} |
312 |
349 |
337 >>> l, = plot(x, sin(x)) |
374 >>> l, = plot(x, sin(x)) |
338 # Why "l,"? |
375 # Why "l,"? |
339 >>> setp(l, linewidth=2.0, color='r') |
376 >>> setp(l, linewidth=2.0, color='r') |
340 >>> l.set_linewidth(2.0) |
377 >>> l.set_linewidth(2.0) |
341 >>> draw() # Redraw. |
378 >>> draw() # Redraw. |
342 >>> setp(l) # Print properties |
379 >>> setp(l) # Print properties. |
343 >>> clf() # Clear figure. |
380 >>> clf() # Clear figure. |
344 >>> close() # Close figure. |
381 >>> close() # Close figure. |
345 \end{lstlisting} |
382 \end{lstlisting} |
346 \end{frame} |
383 \end{frame} |
347 |
384 |
717 \end{frame} |
754 \end{frame} |
718 |
755 |
719 \begin{frame} |
756 \begin{frame} |
720 \frametitle{Problem Set} |
757 \frametitle{Problem Set} |
721 \begin{enumerate} |
758 \begin{enumerate} |
722 \item Write a function that plots any n-gon given \typ{n}. |
759 \item Write a function that plots any regular n-gon given \typ{n}. |
723 \item Consider the logistic map, $f(x) = kx(1-x)$, plot it for |
760 \item Consider the logistic map, $f(x) = kx(1-x)$, plot it for |
724 $k=2.5, 3.5$ and $4$ |
761 $k=2.5, 3.5$ and $4$ in the same plot. |
725 \end{enumerate} |
762 \end{enumerate} |
726 \end{frame} |
763 \end{frame} |
727 |
764 |
728 \begin{frame}[fragile] |
765 \begin{frame}[fragile] |
729 \frametitle{Problem Set} |
766 \frametitle{Problem Set} |