Merge branch 'master' of https://whale.am28.uni-tuebingen.de/git/teaching/scientificComputing
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\author{{\LARGE Jan Grewe \& Jan Benda}\\[5ex]Abteilung Neuroethologie\\[2ex]%
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\includegraphics[width=0.3\textwidth]{UT_WBMW_Rot_RGB}\vspace{3ex}}
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\date{WS 2019/2020\\\vfill%
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\date{WS 2020/2021\\\vfill%
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\centerline{\includegraphics[width=0.7\textwidth]{announcements/correlationcartoon}%
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\rotatebox{90}{\footnotesize\url{www.xkcd.com}}}}
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%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
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\pagestyle{headandfoot}
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\header{{\bfseries\large Exercise 1}}{{\bfseries\large Variables und Datatypes}}{{\bfseries\large 15. Oktober, 2019}}
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\header{{\bfseries\large Exercise 1}}{{\bfseries\large Variables und Datatypes}}{{\bfseries\large 03. November, 2020}}
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\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
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jan.grewe@uni-tuebingen.de}
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\runningfooter{}{\thepage}{}
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%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
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\pagestyle{headandfoot}
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\header{{\bfseries\large Exercise 2}}{{\bfseries\large Vectors}}{{\bfseries\large 17. Oktober, 2019}}
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\header{{\bfseries\large Exercise 2}}{{\bfseries\large Vectors}}{{\bfseries\large 03. November, 2020}}
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\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
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jan.grewe@uni-tuebingen.de}
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\runningfooter{}{\thepage}{}
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@ -41,7 +41,7 @@ lecture. You should try to solve them on your own. Your solution
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should be submitted as a single script (m-file) in the Ilias
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system. Each task should be solved in its own ``cell''. Each cell must
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be executable on its own. The file should be named according to the
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following pattern: ``variables\_datatypes\_\{lastname\}.m''
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following pattern: ``vectors\_\{lastname\}.m''
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(e.g. vectors\_mueller.m).
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\begin{questions}
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@ -159,7 +159,7 @@ following pattern: ``variables\_datatypes\_\{lastname\}.m''
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\begin{solution}
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\code{x = linspace(0, 99, 100);}
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\end{solution}
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\part use \code{disp()) to display the first, last, fifth, 24th and the second-to-last value on the command line.
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\part use \code{disp()} to display the first, last, fifth, 24th and the second-to-last value on the command line.
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\begin{solution}
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\code{disp(x(1))\\ disp(x(end))\\ disp(x(5))\\ disp(x(24))\\ disp(x(end-1))}
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\end{solution}
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@ -14,7 +14,7 @@
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%%%%% text size %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\usepackage[left=20mm,right=20mm,top=25mm,bottom=25mm]{geometry}
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\pagestyle{headandfoot}
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\header{{\bfseries\large Exercise 2}}{{\bfseries\large Vectors}}{{\bfseries\large 18. Oktober, 2017}}
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\header{{\bfseries\large Exercise 2}}{{\bfseries\large Vectors}}{{\bfseries\large 03. November, 2020}}
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\firstpagefooter{Dr. Jan Grewe}{Phone: 29 74588}{Email:
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jan.grewe@uni-tuebingen.de}
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\runningfooter{}{\thepage}{}
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@ -18,7 +18,7 @@ simple.
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The ultimate goal of scientific computing is to analyze gathered data,
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correlate it with e.g. the stimulus conditions and infer rules and
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dependencies. These may be used to constrain model that allow us to
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dependencies. These may be used to constrain models which allow us to
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understand and predict a system's behavior. In order to work with data
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we need to store it somehow. For this purpose we use containers called
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\emph{variables}. Variables store the data and are named for easier
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@ -83,8 +83,8 @@ the \code{double} (a numeric data type, see below) data type. In
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line 9, however, we create a variable \varcode{z} and assign the
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character ``A'' to it. Accordingly, \varcode{z} does not have the
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numeric \code{double} data type but is a
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\enterm{character} type. \textbf{Note:} \matlab{} uses single quotes for
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both characters or strings of characters.
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\enterm{character} type. \textbf{Note:} \matlab{} uses single quotes
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for characters and double quotes for strings of characters.
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There are two ways to find out the actual data type of a variable: the
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\code{class()} and the \code{whos} functions. While \code{class()}
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@ -190,8 +190,8 @@ represented (table~\ref{dtypestab}).
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Data type & memory demand & range & example \erh \\ \hline
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\code{single} & 32 bit & $\approx -3.4^{38}$ to $\approx 3.4^{38}$ & Floating point numbers.\erb \\
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\code{double} & 64 bit & $\approx -10^{308}$ to $\approx 10^{308}$ &
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Floating point numbers.\erb\\ \code{int} & 64 bit & $-2^{31}$
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to $2^{31}-1$ & Integer values. \\ \code{int16} & 16 bit &
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Floating point numbers.\erb\\ \code{int} & 64 bit & $-2^{63}$
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to $2^{63}-1$ & Integer values. \\ \code{int16} & 16 bit &
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$-2^{15}$ to $2^{15}-1$ & Digitizes measurements. \\ \code{uint8}
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& 8 bit & $0$ bis $255$ & Digitized intensities of colors in
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images. \\ \hline
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@ -402,6 +402,17 @@ ans =
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could you find out the size of the \varcode{a} in the 2nd dimension?
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\end{exercise}
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\begin{important}[The : (colon) operator]
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The colon \code[Operator!colon@:]{:} operator is often used when working with vectors. It has multiple purposes.
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\begin{enumerate}
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\item In the simplest form, \code{x = a:b} with \code{a} and \code{b} being two numbers, it creates
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a vector \code{x} containing the numbers \code{a} to \code{b} in integer steps. In \matlab{} the borders $a$ and $b$ are included $[a, b]$ or $a\leq x \leq b$.
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\item In the form \code{x = a:c:b} the vector \code{x} uses a \emph{stepsize} of \code{c} to create the range of numbers.
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\item When used in the context of indexing such as \code{x(:)} all elements of the vector x are accessed.
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\item As vectors are often used for indexing in other vectors one use the colon operator to create such vectors implicitely, e.g. \varcode{x(1:2:end)} to access every seond element of \code{x}.
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\end{enumerate}
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\end{important}
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\subsubsection{Operations on vectors}
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Similarly to the scalar variables discussed above we can work with
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