# HG changeset patch # User Shantanu # Date 1258657516 -19800 # Node ID 54fb746c1565d11a3acfe965119e457f88bc9ab3 # Parent 8bf99f7478171f5fb08baf58bd92ddd2babbdb04# Parent d592e3a874f519821159fbcec7301517fdb5f8cd Merged Puneeth and my branch. diff -r 8bf99f747817 -r 54fb746c1565 day1/session2.tex --- a/day1/session2.tex Fri Nov 20 00:34:18 2009 +0530 +++ b/day1/session2.tex Fri Nov 20 00:35:16 2009 +0530 @@ -331,7 +331,7 @@ \frametitle{What about larger data sets?} \alert{Data is usually present in a file!} \\ Lets look at the \typ{pendulum.txt} file. -\begin{lstlisting} +\begin{lstlisting} $ cat pendulum.txt 1.0000e-01 6.9004e-01 1.1000e-01 6.9497e-01 @@ -339,7 +339,7 @@ 1.3000e-01 7.5360e-01 1.4000e-01 8.3568e-01 1.5000e-01 8.6789e-01 -\end{lstlisting} +\end{lstlisting} %$ \ldots \begin{block}{Windows users:} C:> type pendulum.txt diff -r 8bf99f747817 -r 54fb746c1565 day1/session4.tex --- a/day1/session4.tex Fri Nov 20 00:34:18 2009 +0530 +++ b/day1/session4.tex Fri Nov 20 00:35:16 2009 +0530 @@ -134,16 +134,15 @@ \begin{frame}[fragile] \frametitle{Matrices: Initializing} \begin{lstlisting} -In []: A = array([[ 1, 1, 2, -1], - [ 2, 5, -1, -9], - [ 2, 1, -1, 3], - [ 1, -3, 2, 7]]) -In []: A +In []: c = array([[1,1,2], + [2,4,1], + [-1,3,7]]) + +In []: c Out[]: -array([[ 1, 1, 2, -1], - [ 2, 5, -1, -9], - [ 2, 1, -1, 3], - [ 1, -3, 2, 7]]) +array([[1,1,2], + [2,4,1], + [-1,3,7]]) \end{lstlisting} \end{frame} @@ -157,8 +156,8 @@ [ 1., 1., 1., 1., 1.], [ 1., 1., 1., 1., 1.]]) -In []: ones_like([1, 2, 3, 4, 5]) -Out[]: array([1, 1, 1, 1, 1]) +In []: ones_like([1, 2, 3, 4]) +Out[]: array([1, 1, 1, 1]) In []: identity(2) Out[]: @@ -173,17 +172,17 @@ \begin{frame}[fragile] \frametitle{Accessing elements} \begin{lstlisting} -In []: C = array([[1,1,2], - [2,4,1], - [-1,3,7]]) +In []: c +Out[]: +array([[1,1,2], + [2,4,1], + [-1,3,7]]) -In []: C[1][2] +In []: c[1][2] Out[]: 1 - -In []: C[1,2] +In []: c[1,2] Out[]: 1 - -In []: C[1] +In []: c[1] Out[]: array([2, 4, 1]) \end{lstlisting} \end{frame} @@ -192,15 +191,15 @@ \frametitle{Changing elements} \begin{small} \begin{lstlisting} -In []: C[1,1] = -2 -In []: C +In []: c[1,1] = -2 +In []: c Out[]: array([[ 1, 1, 2], [ 2, -2, 1], [-1, 3, 7]]) -In []: C[1] = [0,0,0] -In []: C +In []: c[1] = [0,0,0] +In []: c Out[]: array([[ 1, 1, 2], [ 0, 0, 0], @@ -214,18 +213,18 @@ \frametitle{Slicing} \begin{small} \begin{lstlisting} -In []: C[:,1] +In []: c[:,1] Out[]: array([1, 0, 3]) -In []: C[1,:] +In []: c[1,:] Out[]: array([0, 0, 0]) -In []: C[0:2,:] +In []: c[0:2,:] Out[]: array([[1, 1, 2], [0, 0, 0]]) -In []: C[1:3,:] +In []: c[1:3,:] Out[]: array([[ 0, 0, 0], [-1, 3, 7]]) @@ -237,17 +236,17 @@ \frametitle{Slicing \ldots} \begin{small} \begin{lstlisting} -In []: C[:2,:] +In []: c[:2,:] Out[]: array([[1, 1, 2], [0, 0, 0]]) -In []: C[1:,:] +In []: c[1:,:] Out[]: array([[ 0, 0, 0], [-1, 3, 7]]) -In []: C[1:,:2] +In []: c[1:,:2] Out[]: array([[ 0, 0], [-1, 3]]) @@ -260,18 +259,18 @@ \frametitle{Striding} \begin{small} \begin{lstlisting} -In []: C[::2,:] +In []: c[::2,:] Out[]: array([[ 1, 1, 2], [-1, 3, 7]]) -In []: C[:,::2] +In []: c[:,::2] Out[]: xarray([[ 1, 2], [ 0, 0], [-1, 7]]) -In []: C[::2,::2] +In []: c[::2,::2] Out[]: array([[ 1, 2], [-1, 7]]) @@ -283,12 +282,12 @@ \frametitle{Slicing \& Striding Exercises} \begin{small} \begin{lstlisting} -In []: A = imread('lena.png') +In []: a = imread('lena.png') -In []: imshow(A) +In []: imshow(a) Out[]: -In []: A.shape +In []: a.shape Out[]: (512, 512, 4) \end{lstlisting} \end{small} @@ -303,13 +302,13 @@ \frametitle{Solutions} \begin{small} \begin{lstlisting} -In []: imshow(A[:256,:256]) +In []: imshow(a[:256,:256]) Out[]: -In []: imshow(A[200:400,200:400]) +In []: imshow(a[200:400,200:400]) Out[]: -In []: imshow(A[::2,::2]) +In []: imshow(a[::2,::2]) Out[]: \end{lstlisting} \end{small} @@ -318,7 +317,7 @@ \begin{frame}[fragile] \frametitle{Transpose of a Matrix} \begin{lstlisting} -In []: A.T +In []: a.T Out[]: array([[ 1, 2, 2, 1], [ 1, 5, 1, -3], @@ -330,7 +329,7 @@ \begin{frame}[fragile] \frametitle{Sum of all elements} \begin{lstlisting} -In []: sum(A) +In []: sum(a) Out[]: 12 \end{lstlisting} \end{frame} @@ -338,11 +337,11 @@ \begin{frame}[fragile] \frametitle{Matrix Addition} \begin{lstlisting} -In []: B = array([[3,2,-1,5], +In []: b = array([[3,2,-1,5], [2,-2,4,9], [-1,0.5,-1,-7], [9,-5,7,3]]) -In []: A + B +In []: a + b Out[]: array([[ 4. , 3. , 1. , 4. ], [ 4. , 3. , 3. , 0. ], @@ -354,7 +353,7 @@ \begin{frame}[fragile] \frametitle{Elementwise Multiplication} \begin{lstlisting} -In []: A*B +In []: a*b Out[]: array([[ 3. , 2. , -2. , -5. ], [ 4. , -10. , -4. , -81. ], @@ -367,7 +366,7 @@ \begin{frame}[fragile] \frametitle{Matrix Multiplication} \begin{lstlisting} -In []: dot(A,B) +In []: dot(a, b) Out[]: array([[ -6. , 6. , -6. , -3. ], [-64. , 38.5, -44. , 35. ], @@ -379,7 +378,7 @@ \begin{frame}[fragile] \frametitle{Inverse of a Matrix} \begin{lstlisting} -In []: inv(A) +In []: inv(a) \end{lstlisting} \begin{small} \begin{lstlisting} @@ -395,7 +394,7 @@ \begin{frame}[fragile] \frametitle{Determinant} \begin{lstlisting} -In []: det(A) +In []: det(a) Out[]: 80.0 \end{lstlisting} \end{frame} @@ -405,16 +404,16 @@ \frametitle{Eigenvalues and Eigen Vectors} \begin{small} \begin{lstlisting} -In []: E = array([[3,2,4],[2,0,2],[4,2,3]]) +In []: e = array([[3,2,4],[2,0,2],[4,2,3]]) -In []: eig(E) +In []: eig(e) Out[]: (array([-1., 8., -1.]), array([[-0.74535599, 0.66666667, -0.1931126 ], [ 0.2981424 , 0.33333333, -0.78664085], [ 0.59628479, 0.66666667, 0.58643303]])) -In []: eigvals(E) +In []: eigvals(e) Out[]: array([-1., 8., -1.]) \end{lstlisting} \end{small} @@ -423,7 +422,7 @@ %% \begin{frame}[fragile] %% \frametitle{Computing Norms} %% \begin{lstlisting} -%% In []: norm(E) +%% In []: norm(e) %% Out[]: 8.1240384046359608 %% \end{lstlisting} %% \end{frame} @@ -432,7 +431,7 @@ %% \frametitle{Singular Value Decomposition} %% \begin{small} %% \begin{lstlisting} -%% In []: svd(E) +%% In []: svd(e) %% Out[]: %% (array( %% [[ -6.66666667e-01, -1.23702565e-16, 7.45355992e-01], @@ -516,6 +515,15 @@ .... \end{lstlisting} \end{frame} + +\begin{frame}[fragile] +\frametitle{Getting $L$ and $T^2$ \dots} +\begin{lstlisting} +In []: l = array(l) +In []: t = array(t) +\end{lstlisting} +\alert{\typ{In []: tsq = t*t}} +\end{frame} \begin{frame}[fragile] \frametitle{Generating $A$} @@ -539,7 +547,7 @@ \item Along with a lot of things, it returns the least squares solution \end{itemize} \begin{lstlisting} -In []: result = lstsq(A,TSq) +In []: result = lstsq(A,tsq) In []: coef = result[0] \end{lstlisting} \end{frame} diff -r 8bf99f747817 -r 54fb746c1565 day1/session6.tex --- a/day1/session6.tex Fri Nov 20 00:34:18 2009 +0530 +++ b/day1/session6.tex Fri Nov 20 00:35:16 2009 +0530 @@ -328,7 +328,7 @@ \begin{frame}[fragile] \frametitle{Solving ODEs using SciPy \ldots} \begin{lstlisting} -In []: t = arange(0, 12, 0.2) +In []: t = linspace(0, 12, 61) In []: y = odeint(epid, 250, t)