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@ -301,13 +301,13 @@ Auch gibt es Mengen, die sowohl abgeschlossen als auch offen sind.
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\end{beweis}
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\section{Stetigkeit}\index{Stetigkeit|(}
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\begin{definition} \xindex{stetig} \xindex{Homöomorphismus}
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\begin{definition}
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Seien $X, Y$ topologische Räume und $f:X \rightarrow Y$ eine Abbildung.
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\begin{enumerate}[label=\alph*),ref=\theplaindefinition.\alph*]
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\item $f$ heißt \textbf{stetig}, wenn für jedes offene
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\item $f$ heißt \textbf{stetig}\xindex{Abbildung!stetige}, wenn für jedes offene
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$U \subseteq Y$ auch $f^{-1} (U) \subseteq X$ offen ist. \label{def:stetigkeit}
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\item $f$ heißt \textbf{Homöomorphismus}, wenn $f$ stetig ist
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\item $f$ heißt \textbf{Homöomorphismus}\xindex{Homöomorphismus}, wenn $f$ stetig ist
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und es eine
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stetige Abbildung $g: Y \rightarrow X$ gibt, sodass
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$g \circ f = \text{id}_X$ und $f \circ g = \text{id}_Y$.
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@ -277,10 +277,10 @@ from 2011 & \textbf{Bachelor of Science} \\
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\section{Computer Skills}
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\begin{tabular}{rl}
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Basic Knowledge & \textsc{C++}, \textsc{JavaScript}\\
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Basic Knowledge & \textsc{JavaScript}\\
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& \textsc{Linux}, \textsc{SQL}, \textsc{PHP}\\ \\
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Intermediate Knowledge
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& \LaTeX, \textsc{Java}, \textsc{Python}, \textsc{HTML}\\ \\
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Intermediate Knowledge & \LaTeX, \textsc{Java}, \textsc{HTML}\\ \\
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Good Knowledge & \textsc{Python}\\ \\
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\end{tabular}
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%----------------------------------------------------------------------------------------
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@ -338,20 +338,18 @@ better in problem solving if I get more time to think about it.}\\
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I watched a video about Google Driverless Car in June 2013 and was
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totally amazed. I've started two online courses on Udacity to learn
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more about this topic. In the next months, I want to apply the knowledge
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I've got by participating in KaMaRo. KaMaRo
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is a group of students who already built a robot, but currently
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it still needs much improvement in path finding. By working with
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those students I will also get better in C++.\\
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more about this topic. Currently, I try to find a good way to
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compute the minimum distance of a point to a cubic spline which
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is necessary to apply the PID algorithm for steering control.\\
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I'm currently employed as a research assistant at Institute for Anthropomatics (KIT).
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My task is to implement some changes that were proposed in a thesis
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to the KIT lecture translation system. I hope this will give me some
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more praxis in C++ and get skills in speech recognition.
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I would like to write my bachelor's thesis about a topic in this field.
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I will definitely also make a masters degree in computer science, but
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I don't know if I will specialize in speech recogntion and simultanious
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translation. Another topic about which I would like to learn more
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to the KIT lecture translation system. The work helps me to understand
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how speech recognition works.
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I will definitely also make a masters degree in computer science.
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A topic about which I would like to learn more
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are self driving cars. But I think there are no courses in Karlsruhe
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about this.\\
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@ -373,8 +371,9 @@ in an English speaking country which is not in Europe.
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\section{Projects}
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\begin{tabular}{rl}
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10/2013 & \textbf{KaMaRo Engineering}\\
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& \textit{creating and programming a robot}\\ \\
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11/2013 & \textbf{Minimum distance paper}\\
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& \textit{research to compute the minimum distance}\\
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& \textit{ to a cubic spline}\hfill \href{https://github.com/MartinThoma/LaTeX-examples/tree/master/documents/math-minimal-distance-to-cubic-function}{$\rightarrow$ read more}\\
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%----------------------------------------------------------------------------------------
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06/2013 & \textbf{Interpolation}\\
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@ -410,8 +409,6 @@ in an English speaking country which is not in Europe.
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\section{Online Courses}
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\begin{tabular}{rll}
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10/2013 & \textbf{Machine Learning} & Stanford\\
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& \textit{not finished yet} &\\\\
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09/2013 & \textbf{Artificial Intelligence} & Udacity\\
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& \textbf{for Robotics} &\\
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& \textit{finished 10/2013} &\\\\
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@ -0,0 +1,2 @@
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This paper is currently (19.12.2013) written. Statements might be
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incorrect, strucutre and content will change.
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