[exercise5] control flow, some rewording

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Jan Grewe 2018-10-29 21:48:14 +01:00
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\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
\pagestyle{headandfoot}
\header{{\bfseries\large Exercise 4}}{{\bfseries\large Control Flow}}{{\bfseries\large 30. October, 2017}}
\header{{\bfseries\large Exercise 5}}{{\bfseries\large Control Flow}}{{\bfseries\large 30. October, 2018}}
\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
jan.grewe@uni-tuebingen.de}
\runningfooter{}{\thepage}{}
@ -33,39 +33,44 @@
\begin{center}
\textbf{\Large Introduction to scientific computing}\\[1ex]
{\large Jan Grewe, Jan Benda}\\[-3ex]
Abteilung Neuroethologie \hfill --- \hfill Institut f\"ur Neurobiologie \hfill --- \hfill \includegraphics[width=0.28\textwidth]{UT_WBMW_Black_RGB} \\
Neuroethologie \hfill --- \hfill Institute for Neurobiology \hfill --- \hfill \includegraphics[width=0.28\textwidth]{UT_WBMW_Black_RGB} \\
\end{center}
The exercises are meant for self-monitoring, revision of the lecture
topic. You should try to solve them on your own. Your solution should
be submitted as a single script (m-file) in the Ilias system. Each
task should be solved in its own ``cell''. Each cell must be
executable on its own. The file should be named according to the following pattern:
``variables\_datatypes\_\{lastname\}.m'' benannt werden
The exercises are meant for self-monitoring and revision of the
lecture. You should try to solve them on your own. Your solution
should be submitted as a single script (m-file) in the Ilias
system. Each task should be solved in its own ``cell''. Each cell must
be executable on its own. The file should be named according to the
following pattern: ``variables\_datatypes\_\{lastname\}.m''
(e.g. variables\_datentypes\_mueller.m).
\begin{questions}
\question Implement \code{for} loops in which the \emph{running variable}:
\begin{parts}
\part ... assumes values from 0 to 10. Print the value of the running variable for each iteration step.
\begin{solution}
for i = 1:10
disp(i);
end;
\end{solution}
\part ... assumes values from 10 to 0. Print out the value for each iteration.
\part ... assumes values from 0 to 1 in steps of 0.1. Print out the value for each iteration.
\end{parts}
\question Indexing in vectros:
\question Indexing in vectors:
\begin{parts}
\part Define a vector \code{x} that contains values from 1:100.
\part Define a vector \code{x} that contains values ranging from 101 to 200.
\part Use a \code{for} loop to print each element of \code{x}. Use the running variable for the indexing.
\begin{solution}
\code{for i = 1:length(x); disp(x(i)); end}
\end{solution}
\part Do the same without using the running variable for indexing.
\part Do the same without use the running variable directly (not for indexing).
\begin{solution}
\code{for i : x; disp(i); end;}
\end{solution}
\end{parts}
\question Create a vector \verb+x+ that contains 50 random numbers in the range 0 - 10.
\question Create a vector \verb+x+ that contains 50 random numbers in the value range 0 - 10.
\begin{parts}
\part Use a loop to calculate the arithmetic mean. The mean is defined as:
$\overline{x}=\frac{1}{n}\sum\limits_{i=0}^{n}x_i $.
@ -80,14 +85,14 @@ executable on its own. The file should be named according to the following patte
\part ... iterates endlessly. You can interrupt the execution with the command \code{Strg + C}.
\end{parts}
\question Use an endless \code{while} loop to individually print out the elements of a vector that contains 10 elements.
\question Use an endless \code{while} loop to individually print out the elements of a vector that contains 10 elements. Stop the execution after all elements have been printed.
\question Use the endless \verb+while+ loop to draw random numbers
(\verb+randn+) until you it is larger than 1.33.
(\verb+randn+) until you hit one that is larger than 1.33.
\begin{parts}
\part Count the number of required iterations.
\part Use a \code{for} loop to run the previous test 1000 times. Remeber all counts and calculate the mean of it.
\part Create a plot that schows for each of the 1000 trials, how often you had to draw.
\part Use a \code{for} loop to run the previous test 1000 times. Remember all counts and calculate the mean of it.
\part Create a plot that shows for each of the 1000 trials, how often you had to draw.
\part Play around with the threshold. What happens?
\end{parts}
@ -100,19 +105,19 @@ executable on its own. The file should be named according to the following patte
\end{parts}
\question Test the random number generator! To do so count the
number of elements that fall in the classes defined by the edges
number of elements that fall into the classes defined by the edges
[0.0, 0.2, 0.4, 0.6, 0.8, 1.0]. Store the results in a vector. Use a
loop to draw 1000 random numbers with \verb+rand()+ (see help). What
would be the expectation? What is the result?
\question String parsing: It is quite common to use the names of datasets to encode the conditions under which they were recorded. To find out the required information we have to \emph{parse} he name.
\question String parsing: It is quite common to use the names of datasets to encode the conditions under which they were recorded. To find out the required information we have to \emph{parse} the name.
\begin{parts}
\part Create a variable
\verb+filename = '2015-10-12_100Hz_1.25V.dat'+. Obviously, the
underscore was used as a delimiter.
\part Use a \verb+for+ loop to find the positions of the underscores and store these in a vector.
\part Use a second loop to iterate over the previously filled `position' vector and use this information to
cut filename appropriately.
cut \verb+filename+ appropriately.
\part Print out the individual parts.
\end{parts}