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501 \item We need to find $p$ to plot the line |
501 \item We need to find $p$ to plot the line |
502 \end{itemize} |
502 \end{itemize} |
503 \end{frame} |
503 \end{frame} |
504 |
504 |
505 \begin{frame}[fragile] |
505 \begin{frame}[fragile] |
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506 \frametitle{Getting $L$ and $T^2$} |
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507 If you \alert{closed} IPython after session 2 |
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508 \begin{lstlisting} |
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509 In []: l = [] |
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510 In []: t = [] |
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511 In []: for line in open('pendulum.txt'): |
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512 .... point = line.split() |
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513 .... l.append(float(point[0])) |
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514 .... t.append(float(point[1])) |
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515 .... |
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516 .... |
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517 \end{lstlisting} |
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518 \end{frame} |
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519 |
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520 \begin{frame}[fragile] |
506 \frametitle{Generating $A$} |
521 \frametitle{Generating $A$} |
507 \begin{lstlisting} |
522 \begin{lstlisting} |
508 In []: A = array([L, ones_like(L)]) |
523 In []: A = array([l, ones_like(l)]) |
509 In []: A = A.T |
524 In []: A = A.T |
510 \end{lstlisting} |
525 \end{lstlisting} |
511 %% \begin{itemize} |
526 %% \begin{itemize} |
512 %% \item A is also called a Van der Monde matrix |
527 %% \item A is also called a Van der Monde matrix |
513 %% \item It can also be generated using \typ{vander} |
528 %% \item It can also be generated using \typ{vander} |
531 |
546 |
532 \begin{frame}[fragile] |
547 \begin{frame}[fragile] |
533 \frametitle{Least Square Fit Line \ldots} |
548 \frametitle{Least Square Fit Line \ldots} |
534 We get the points of the line from \typ{coef} |
549 We get the points of the line from \typ{coef} |
535 \begin{lstlisting} |
550 \begin{lstlisting} |
536 In []: Tline = coef[0]*L + coef[1] |
551 In []: Tline = coef[0]*l + coef[1] |
537 \end{lstlisting} |
552 \end{lstlisting} |
538 \begin{itemize} |
553 \begin{itemize} |
539 \item Now plot Tline vs. L, to get the Least squares fit line. |
554 \item Now plot \typ{Tline} vs. \typ{l}, to get the Least squares fit line. |
540 \end{itemize} |
555 \end{itemize} |
541 \begin{lstlisting} |
556 \begin{lstlisting} |
542 In []: plot(L, Tline) |
557 In []: plot(l, Tline) |
543 \end{lstlisting} |
558 \end{lstlisting} |
544 \end{frame} |
559 \end{frame} |
545 |
560 |
546 \begin{frame}[fragile] |
561 \begin{frame}[fragile] |
547 \frametitle{Least Squares Fit} |
562 \frametitle{Least Squares Fit} |