%% This document created by Scientific Notebook (R) Version 3.5 %% Starting shell: article \documentclass{article} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %TCIDATA{OutputFilter=LATEX.DLL} %TCIDATA{Version=5.00.0.2570} %TCIDATA{} %TCIDATA{Created=Wednesday, February 10, 1999 13:29:48} %TCIDATA{LastRevised=Monday, October 03, 2005 09:37:50} %TCIDATA{} %TCIDATA{} %TCIDATA{CSTFile=On line bluem.cst} %TCIDATA{PageSetup=72,72,72,72,0} %TCIDATA{Counters=arabic,1} %TCIDATA{AllPages= %H=36 %F=36,\PARA{038
\QTR{small}{Matematick\U{e1} anal\U{fd}za III online - Komplexn\U{e9} \U{10d}\U{ed}sla a funkcie komplexnej premennej - Ot\U{e1}zky\dotfill \thepage }} %} \newtheorem{theorem}{Theorem} \newtheorem{acknowledgement}[theorem]{Acknowledgement} \newtheorem{algorithm}[theorem]{Algorithm} \newtheorem{axiom}[theorem]{Axiom} \newtheorem{case}[theorem]{Case} \newtheorem{claim}[theorem]{Claim} \newtheorem{conclusion}[theorem]{Conclusion} \newtheorem{condition}[theorem]{Condition} \newtheorem{conjecture}[theorem]{Conjecture} \newtheorem{corollary}[theorem]{Corollary} \newtheorem{criterion}[theorem]{Criterion} \newtheorem{definition}[theorem]{Definition} \newtheorem{example}[theorem]{Example} \newtheorem{exercise}[theorem]{Exercise} \newtheorem{lemma}[theorem]{Lemma} \newtheorem{notation}[theorem]{Notation} \newtheorem{problem}[theorem]{Problem} \newtheorem{proposition}[theorem]{Proposition} \newtheorem{remark}[theorem]{Remark} \newtheorem{solution}[theorem]{Solution} \newtheorem{summary}[theorem]{Summary} \newenvironment{proof}[1][Proof]{\textbf{#1.} }{\ \rule{0.5em}{0.5em}} \input{tcilatex} \begin{document} \author{A. U. Thor} \title{Lab Report} \date{The Date } \maketitle \begin{abstract} A Laboratory report created with Scientific Notebook \end{abstract} \section{Komplexn\'{e} \v{c}\'{\i}sla} \begin{center} \begin{tabular}{|c|c|c|c|} \hline \textbf{% %TCIMACRO{\hyperref{Obsah}{}{}{aindex.tex}}% %BeginExpansion \msihyperref{Obsah}{}{}{aindex.tex}% %EndExpansion } & \textbf{% %TCIMACRO{\hyperref{Obsah kapitoly}{}{}{A1.tex}}% %BeginExpansion \msihyperref{Obsah kapitoly}{}{}{A1.tex}% %EndExpansion } & \textbf{% %TCIMACRO{\hyperref{\textbf{Cvi\v{c}enia}}{}{}{CA1.tex}}% %BeginExpansion \msihyperref{\textbf{Cvi\v{c}enia}}{}{}{CA1.tex}% %EndExpansion } & \textbf{Index} \\ \hline \end{tabular} \end{center} \subsection{Ot\'{a}zky} Preverte si znalosti z\'{\i}skan\'{e} v tejto kapitole. Zodpovedajte v\v{s}% etky ot\'{a}zky. Ak neviete nejak\'{u} ot\'{a}zku zodpoveda\v{t} znovu pre% \v{s}tudujte pr\'{\i}slu\v{s}n\'{u} \v{c}as\v{t} a op\"{a}\v{t} odpovedajte. Po d\^{o}kladnom preveren\'{\i} Va\v{s}ich vedomost\'{\i} sa venujte po\v{c}% \'{\i}taniu pr\'{\i}kladov. \begin{enumerate} \item Ak\'{e} \v{c}\'{\i}sla naz\'{y}vame komplexn\'{e} \v{c}\'{\i}sla? \item Ak\'{y} je geometrick\'{y} v\'{y}znam komplexn\'{e}ho \v{c}\'{\i}sla? \item Definujte modul a argument komplexn\'{e}ho \v{c}\'{\i}sla. \item Nap\'{\i}\v{s}te Eulerovu formulu. \item Nap\'{\i}\v{s}te komplexn\'{e} \v{c}\'{\i}slo $z$\ v algebrickom, trigonometrickom a exponenci\'{a}lnom tvare. \item Ako definujeme algebrick\'{e} oper\'{a}cie pre komplexn\'{e} \v{c}% \'{\i}sla v algebrickom tvare? \item Ako definujeme oper\'{a}cie n\'{a}sobenia a delenia pre komplexn\'{e} \v{c}\'{\i}sla v trigonometrickom a exponenci\'{a}lnom tvare? \item Ak\'{y}m sp\^{o}sobom definujeme prirodzen\'{u} mocninu komplexn\'{e}% ho \v{c}\'{\i}sla v trigonometrickom a exponenci\'{a}lnom tvare? \item Nap\'{\i}\v{s}te Moivreovu formulu. \item Nap\'{\i}\v{s}te fomulu pre v\'{y}po\v{c}et n-tej odmocniny z komplexn% \'{e}ho \v{c}\'{\i}sla. \end{enumerate} \begin{center} \begin{tabular}{|c|c|c|c|} \hline \textbf{% %TCIMACRO{\hyperref{Obsah}{}{}{aindex.tex}}% %BeginExpansion \msihyperref{Obsah}{}{}{aindex.tex}% %EndExpansion } & \textbf{% %TCIMACRO{\hyperref{Obsah kapitoly}{}{}{A1.tex}}% %BeginExpansion \msihyperref{Obsah kapitoly}{}{}{A1.tex}% %EndExpansion } & \textbf{% %TCIMACRO{\hyperref{\textbf{Cvi\v{c}enia}}{}{}{CA1.tex}}% %BeginExpansion \msihyperref{\textbf{Cvi\v{c}enia}}{}{}{CA1.tex}% %EndExpansion } & \textbf{Index} \\ \hline \end{tabular} \end{center} \rule{6.5in}{0.04in} \textsl{Matematika 1} \section{Komplexn\'{e} \v{c}\'{\i}sla} \end{document}