diff options
Diffstat (limited to 'day1/session6.tex')
| -rwxr-xr-x | day1/session6.tex | 30 |
1 files changed, 15 insertions, 15 deletions
diff --git a/day1/session6.tex b/day1/session6.tex index 61b536c..0e34996 100755 --- a/day1/session6.tex +++ b/day1/session6.tex @@ -78,7 +78,7 @@ \author[FOSSEE] {FOSSEE} \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} -\date[] {08 March, 2010\\Day 1, Session 6} +\date[] {02 April, 2010\\Day 1, Session 6} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo} @@ -239,7 +239,7 @@ Use \kwrd{solve()} \begin{frame}[fragile] \frametitle{\typ{fsolve}} -Find the root of $sin(x)+cos^2(x)$ nearest to $0$ +Find the root of $sin(z)+cos^2(z)$ nearest to $0$ \vspace{-0.1in} \begin{center} \includegraphics[height=2.8in, interpolate=true]{data/fsolve} @@ -248,18 +248,18 @@ Find the root of $sin(x)+cos^2(x)$ nearest to $0$ \begin{frame}[fragile] \frametitle{\typ{fsolve}} -Root of $sin(x)+cos^2(x)$ nearest to $0$ +Root of $sin(z)+cos^2(z)$ nearest to $0$ \begin{lstlisting} -In []: fsolve(sin(x)+cos(x)*cos(x), 0) -NameError: name 'x' is not defined +In []: fsolve(sin(z)+cos(z)*cos(z), 0) +NameError: name 'z' is not defined \end{lstlisting} \end{frame} \begin{frame}[fragile] \frametitle{\typ{fsolve}} \begin{lstlisting} -In []: x = linspace(-pi, pi) -In []: fsolve(sin(x)+cos(x)*cos(x), 0) +In []: z = linspace(-pi, pi) +In []: fsolve(sin(z)+cos(z)*cos(z), 0) \end{lstlisting} \begin{small} \alert{\typ{TypeError:}} @@ -271,8 +271,8 @@ In []: fsolve(sin(x)+cos(x)*cos(x), 0) \frametitle{Functions - Definition} We have been using them all along. Now let's see how to define them. \begin{lstlisting} -In []: def f(x): - return sin(x)+cos(x)*cos(x) +In []: def f(z): + return sin(z)+cos(z)*cos(z) \end{lstlisting} \begin{itemize} \item \typ{def} @@ -285,7 +285,7 @@ In []: def f(x): \begin{frame}[fragile] \frametitle{Functions - Calling them} \begin{lstlisting} -In [15]: f() +In []: f() --------------------------------------- \end{lstlisting} \alert{\typ{TypeError:}}\typ{f() takes exactly 1 argument} @@ -301,7 +301,7 @@ More on Functions later \ldots \begin{frame}[fragile] \frametitle{\typ{fsolve} \ldots} -Find the root of $sin(x)+cos^2(x)$ nearest to $0$ +Find the root of $sin(z)+cos^2(z)$ nearest to $0$ \begin{lstlisting} In []: fsolve(f, 0) Out[]: -0.66623943249251527 @@ -313,16 +313,16 @@ Out[]: -0.66623943249251527 \begin{frame}[fragile] \frametitle{Exercise Problem} - Find the root of the equation $x^2 - sin(x) + cos^2(x)$ nearest to $0$ + Find the root of the equation $x^2 - sin(x) + cos^2(x) == tan(x)$ nearest to $0$ \end{frame} \begin{frame}[fragile] \frametitle{Solution} \begin{small} \begin{lstlisting} - def f(x): - return x**2 - sin(x) + cos(x)*cos(x) - fsolve(f, 0) +def f(x): + return x**2 - sin(x) + cos(x)*cos(x) - tan(x) +fsolve(f, 0) \end{lstlisting} \end{small} \begin{center} |