AT_Exzerpt.aux
author lindenmannm
Tue, 08 Mar 2011 21:18:35 +0100
changeset 14 c36833d74fc2
permissions -rw-r--r--
neu
     1 \relax 
     2 \providecommand\BKM@entry[2]{}
     3 \catcode`"\active
     4 \providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
     5 \HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
     6 \global\let\oldcontentsline\contentsline
     7 \gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
     8 \global\let\oldnewlabel\newlabel
     9 \gdef\newlabel#1#2{\newlabelxx{#1}#2}
    10 \gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
    11 \AtEndDocument{\ifx\hyper@anchor\@undefined
    12 \let\contentsline\oldcontentsline
    13 \let\newlabel\oldnewlabel
    14 \fi}
    15 \fi}
    16 \global\let\hyper@last\relax 
    17 \gdef\HyperFirstAtBeginDocument#1{#1}
    18 \providecommand*\HyPL@Entry[1]{}
    19 \bibstyle{alphadin}
    20 \HyPL@Entry{0<</S/D>>}
    21 \select@language{ngerman}
    22 \@writefile{toc}{\select@language{ngerman}}
    23 \@writefile{lof}{\select@language{ngerman}}
    24 \@writefile{lot}{\select@language{ngerman}}
    25 \BKM@entry{id=1,dest={73656374696F6E2E31}}{45696E6C656974756E67}
    26 \BKM@entry{id=2,dest={73756273656374696F6E2E312E31}}{5468656D656E3A}
    27 \BKM@entry{id=3,dest={73756273656374696F6E2E312E32}}{50726F626C656D2D2F416E77656E64756E677362657265696368653A}
    28 \BKM@entry{id=4,dest={73756273656374696F6E2E312E33}}{4C69746572617475723A}
    29 \bibdata{literatur}
    30 \bibcite{2}{PW02}
    31 \bibcite{1}{THC01}
    32 \citation{*}
    33 \@writefile{toc}{\contentsline {section}{\numberline {1}Einleitung}{3}{section.1}}
    34 \newlabel{sec:intro}{{1}{3}{Einleitung\relax }{section.1}{}}
    35 \@writefile{toc}{\contentsline {subsection}{\numberline {1.1}Themen:}{3}{subsection.1.1}}
    36 \@writefile{toc}{\contentsline {subsection}{\numberline {1.2}Problem-/Anwendungsbereiche:}{3}{subsection.1.2}}
    37 \@writefile{toc}{\contentsline {subsection}{\numberline {1.3}Literatur:}{3}{subsection.1.3}}
    38 \BKM@entry{id=5,dest={73656374696F6E2E32}}{44697669646520616E6420436F6E71756572}
    39 \BKM@entry{id=6,dest={73756273656374696F6E2E322E31}}{466F726D756C696572756E67206465732044697669646520616E6420436F6E71756572205072696E7A697073}
    40 \BKM@entry{id=7,dest={73756273656374696F6E2E322E32}}{517569636B736F7274}
    41 \BKM@entry{id=8,dest={73756273756273656374696F6E2E322E322E31}}{416C676F726974686D7573}
    42 \BKM@entry{id=9,dest={73756273756273656374696F6E2E322E322E32}}{416E616C797365}
    43 \BKM@entry{id=10,dest={73756273656374696F6E2E322E33}}{4E5C3334346368737465205061617265}
    44 \@writefile{toc}{\contentsline {section}{\numberline {2}Divide and Conquer}{4}{section.2}}
    45 \newlabel{sec:div&conq}{{2}{4}{Divide and Conquer\relax }{section.2}{}}
    46 \@writefile{toc}{\contentsline {subsection}{\numberline {2.1}Formulierung des Divide and Conquer Prinzips}{4}{subsection.2.1}}
    47 \@writefile{toc}{\contentsline {subsection}{\numberline {2.2}Quicksort}{4}{subsection.2.2}}
    48 \newlabel{ch:qs}{{2.2}{4}{Quicksort\relax }{subsection.2.2}{}}
    49 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.2.1}Algorithmus}{4}{subsubsection.2.2.1}}
    50 \newlabel{lst:TTlookup}{{1}{4}{Algorithmus Quicksort\relax }{lstlisting.1}{}}
    51 \@writefile{lol}{\contentsline {lstlisting}{\numberline {1}Algorithmus Quicksort}{4}{lstlisting.1}}
    52 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.2.2}Analyse}{4}{subsubsection.2.2.2}}
    53 \BKM@entry{id=11,dest={73756273756273656374696F6E2E322E332E31}}{416C676F726974686D7573}
    54 \BKM@entry{id=12,dest={73756273756273656374696F6E2E322E332E32}}{416E616C797365}
    55 \BKM@entry{id=13,dest={73756273656374696F6E2E322E34}}{5365676D656E747363686E697474}
    56 \@writefile{toc}{\contentsline {subsection}{\numberline {2.3}N\"achste Paare}{5}{subsection.2.3}}
    57 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.3.1}Algorithmus}{5}{subsubsection.2.3.1}}
    58 \@writefile{lof}{\contentsline {figure}{\numberline {1}{\ignorespaces N\"achste Paare: Pr\"uf Distanz}}{5}{figure.1}}
    59 \newlabel{cl_pair}{{1}{5}{Nächste Paare: Prüf Distanz\relax }{figure.1}{}}
    60 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.3.2}Analyse}{5}{subsubsection.2.3.2}}
    61 \BKM@entry{id=14,dest={73756273756273656374696F6E2E322E342E31}}{416C676F726974686D7573}
    62 \BKM@entry{id=15,dest={73756273756273656374696F6E2E322E342E32}}{416E616C797365}
    63 \BKM@entry{id=16,dest={73756273656374696F6E2E322E35}}{506F6C796E6F6D70726F64756B7420756E64204661737420466F75726965722D5472616E73666F726D6174696F6E205C28544F444F5C29}
    64 \@writefile{toc}{\contentsline {subsection}{\numberline {2.4}Segmentschnitt}{6}{subsection.2.4}}
    65 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.4.1}Algorithmus}{6}{subsubsection.2.4.1}}
    66 \@writefile{toc}{\contentsline {subsubsection}{\numberline {2.4.2}Analyse}{6}{subsubsection.2.4.2}}
    67 \@writefile{toc}{\contentsline {subsection}{\numberline {2.5}Polynomprodukt und Fast Fourier-Transformation (TODO)}{6}{subsection.2.5}}
    68 \BKM@entry{id=17,dest={73656374696F6E2E33}}{52616E646F6D6973696572756E67}
    69 \BKM@entry{id=18,dest={73756273656374696F6E2E332E31}}{52616E646F6D697369657274657220517569636B736F7274}
    70 \BKM@entry{id=19,dest={73756273756273656374696F6E2E332E312E31}}{416E616C797365}
    71 \BKM@entry{id=20,dest={73756273656374696F6E2E332E32}}{52616E646F6D6973696572746572205072696D7A61686C74657374205C28544F444F5C29}
    72 \BKM@entry{id=21,dest={73756273656374696F6E2E332E33}}{525341205C28544F444F5C29}
    73 \BKM@entry{id=22,dest={73756273656374696F6E2E332E34}}{547265617073205C28544F444F5C29}
    74 \BKM@entry{id=23,dest={73756273656374696F6E2E332E35}}{48617368696E67205C28544F444F5C29}
    75 \@writefile{toc}{\contentsline {section}{\numberline {3}Randomisierung}{7}{section.3}}
    76 \@writefile{toc}{\contentsline {subsection}{\numberline {3.1}Randomisierter Quicksort}{7}{subsection.3.1}}
    77 \@writefile{toc}{\contentsline {subsubsection}{\numberline {3.1.1}Analyse}{7}{subsubsection.3.1.1}}
    78 \@writefile{toc}{\contentsline {subsection}{\numberline {3.2}Randomisierter Primzahltest (TODO)}{7}{subsection.3.2}}
    79 \@writefile{toc}{\contentsline {subsection}{\numberline {3.3}RSA (TODO)}{7}{subsection.3.3}}
    80 \@writefile{toc}{\contentsline {subsection}{\numberline {3.4}Treaps (TODO)}{7}{subsection.3.4}}
    81 \@writefile{toc}{\contentsline {subsection}{\numberline {3.5}Hashing (TODO)}{7}{subsection.3.5}}
    82 \BKM@entry{id=24,dest={73656374696F6E2E34}}{416D6F72746973696572746520416E616C797365205C28544F444F5C29}
    83 \BKM@entry{id=25,dest={73756273656374696F6E2E342E31}}{42696E6F6D69616C204865617073205C28544F444F5C29}
    84 \BKM@entry{id=26,dest={73756273656374696F6E2E342E32}}{4669626F6E61636369204865617073205C28544F444F5C29}
    85 \BKM@entry{id=27,dest={73756273656374696F6E2E342E33}}{556E696F6E2046696E64205C28544F444F5C29}
    86 \@writefile{toc}{\contentsline {section}{\numberline {4}Amortisierte Analyse (TODO)}{8}{section.4}}
    87 \@writefile{toc}{\contentsline {subsection}{\numberline {4.1}Binomial Heaps (TODO)}{8}{subsection.4.1}}
    88 \@writefile{toc}{\contentsline {subsection}{\numberline {4.2}Fibonacci Heaps (TODO)}{8}{subsection.4.2}}
    89 \@writefile{toc}{\contentsline {subsection}{\numberline {4.3}Union Find (TODO)}{8}{subsection.4.3}}
    90 \BKM@entry{id=28,dest={73656374696F6E2E35}}{477265656479}
    91 \BKM@entry{id=29,dest={73756273656374696F6E2E352E31}}{4B5C333734727A65737465205C2862696C6C69677374655C292057656765}
    92 \BKM@entry{id=30,dest={73756273756273656374696F6E2E352E312E31}}{53696E676C6520536F757263652053686F7274657374205061746873}
    93 \@writefile{toc}{\contentsline {section}{\numberline {5}Greedy}{9}{section.5}}
    94 \@writefile{toc}{\contentsline {subsection}{\numberline {5.1}K\"urzeste (billigste) Wege}{9}{subsection.5.1}}
    95 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.1.1}Single Source Shortest Paths}{9}{subsubsection.5.1.1}}
    96 \@writefile{lof}{\contentsline {figure}{\numberline {2}{\ignorespaces Tree for Dijkstra Example}}{10}{figure.2}}
    97 \newlabel{fig:dijExT}{{2}{10}{Tree for Dijkstra Example\relax }{figure.2}{}}
    98 \newlabel{lst:TTlookup}{{2}{10}{Algorithmus von Dijkstra\relax }{lstlisting.2}{}}
    99 \@writefile{lol}{\contentsline {lstlisting}{\numberline {2}Algorithmus von Dijkstra}{10}{lstlisting.2}}
   100 \newlabel{lst:TTlookup}{{3}{10}{Algorithmus von Belman-Ford\relax }{lstlisting.3}{}}
   101 \@writefile{lol}{\contentsline {lstlisting}{\numberline {3}Algorithmus von Belman-Ford}{10}{lstlisting.3}}
   102 \BKM@entry{id=31,dest={73756273656374696F6E2E352E32}}{5370616E6E625C333434756D65206D696E696D616C656E204765776963687473}
   103 \BKM@entry{id=32,dest={73756273756273656374696F6E2E352E322E31}}{446173205761636873656E20766F6E206D696E2E205370616E6E625C333434756D656E}
   104 \@writefile{lot}{\contentsline {table}{\numberline {1}{\ignorespaces Dijkstra Example}}{11}{table.1}}
   105 \newlabel{tab:dijEx}{{1}{11}{Dijkstra Example\relax }{table.1}{}}
   106 \newlabel{lst:TTlookup}{{4}{11}{Algorithmus für Azyklische Netzwerke\relax }{lstlisting.4}{}}
   107 \@writefile{lol}{\contentsline {lstlisting}{\numberline {4}Algorithmus f\"ur Azyklische Netzwerke}{11}{lstlisting.4}}
   108 \@writefile{toc}{\contentsline {subsection}{\numberline {5.2}Spannb\"aume minimalen Gewichts}{11}{subsection.5.2}}
   109 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.1}Das Wachsen von min. Spannb\"aumen}{11}{subsubsection.5.2.1}}
   110 \newlabel{lst:TTlookup}{{5}{11}{Greedy Algorithmus für Spannbäume\relax }{lstlisting.5}{}}
   111 \@writefile{lol}{\contentsline {lstlisting}{\numberline {5}Greedy Algorithmus f\"ur Spannb\"aume}{11}{lstlisting.5}}
   112 \BKM@entry{id=33,dest={73756273756273656374696F6E2E352E322E32}}{5363686E69747465}
   113 \BKM@entry{id=34,dest={73756273756273656374696F6E2E352E322E33}}{53696368657265204B616E74656E}
   114 \BKM@entry{id=35,dest={73756273756273656374696F6E2E352E322E34}}{446572204772617068204741}
   115 \BKM@entry{id=36,dest={73756273756273656374696F6E2E352E322E35}}{416C676F726974686D757320766F6E204B7275736B616C}
   116 \BKM@entry{id=37,dest={73756273756273656374696F6E2E352E322E36}}{416C676F726974686D757320766F6E205072696D}
   117 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.2}Schnitte}{12}{subsubsection.5.2.2}}
   118 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.3}Sichere Kanten}{12}{subsubsection.5.2.3}}
   119 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.4}Der Graph $G_A$}{12}{subsubsection.5.2.4}}
   120 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.5}Algorithmus von Kruskal}{12}{subsubsection.5.2.5}}
   121 \newlabel{lst:TTlookup}{{6}{12}{Algorithmus von Kruskal\relax }{lstlisting.6}{}}
   122 \@writefile{lol}{\contentsline {lstlisting}{\numberline {6}Algorithmus von Kruskal}{12}{lstlisting.6}}
   123 \@writefile{toc}{\contentsline {subsubsection}{\numberline {5.2.6}Algorithmus von Prim}{13}{subsubsection.5.2.6}}
   124 \newlabel{lst:TTlookup}{{7}{13}{Algorithmus von Prim\relax }{lstlisting.7}{}}
   125 \@writefile{lol}{\contentsline {lstlisting}{\numberline {7}Algorithmus von Prim}{13}{lstlisting.7}}
   126 \BKM@entry{id=38,dest={73656374696F6E2E36}}{42696E205061636B696E67}
   127 \BKM@entry{id=39,dest={73756273656374696F6E2E362E31}}{4F6E6C696E652056657266616872656E}
   128 \BKM@entry{id=40,dest={73756273756273656374696F6E2E362E312E31}}{4E65787420466974205C284E465C29}
   129 \BKM@entry{id=41,dest={73756273756273656374696F6E2E362E312E32}}{46697273742D466974205C2846465C29}
   130 \@writefile{toc}{\contentsline {section}{\numberline {6}Bin Packing}{14}{section.6}}
   131 \@writefile{toc}{\contentsline {subsection}{\numberline {6.1}Online Verfahren}{14}{subsection.6.1}}
   132 \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.1}Next Fit (NF)}{14}{subsubsection.6.1.1}}
   133 \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.2}First-Fit (FF)}{14}{subsubsection.6.1.2}}
   134 \BKM@entry{id=42,dest={73756273756273656374696F6E2E362E312E33}}{426573742D466974205C2842465C29}
   135 \BKM@entry{id=43,dest={73756273656374696F6E2E362E32}}{4F66666C696E652056657266616872656E}
   136 \BKM@entry{id=44,dest={73756273756273656374696F6E2E362E322E31}}{4669727374204669742044656372656173696E67205C28464644206F6465722046464E495C29}
   137 \BKM@entry{id=45,dest={73756273756273656374696F6E2E362E322E32}}{42657374204669742044656372656173696E67205C284246445C29}
   138 \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.1.3}Best-Fit (BF)}{15}{subsubsection.6.1.3}}
   139 \@writefile{toc}{\contentsline {subsection}{\numberline {6.2}Offline Verfahren}{15}{subsection.6.2}}
   140 \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.2.1}First Fit Decreasing (FFD oder FFNI)}{15}{subsubsection.6.2.1}}
   141 \@writefile{toc}{\contentsline {subsubsection}{\numberline {6.2.2}Best Fit Decreasing (BFD)}{15}{subsubsection.6.2.2}}
   142 \BKM@entry{id=46,dest={73656374696F6E2E37}}{44796E616D69736368652050726F6772616D6D696572756E67}
   143 \BKM@entry{id=47,dest={73756273656374696F6E2E372E31}}{4D61747269786B657474656E70726F64756B74205C28544F444F5C29}
   144 \BKM@entry{id=48,dest={73756273656374696F6E2E372E32}}{4F7074696D616C652053756368625C333434756D65205C28544F444F5C29}
   145 \BKM@entry{id=49,dest={73756273656374696F6E2E372E33}}{4564697469657264697374616E7A}
   146 \@writefile{toc}{\contentsline {section}{\numberline {7}Dynamische Programmierung}{16}{section.7}}
   147 \@writefile{toc}{\contentsline {subsection}{\numberline {7.1}Matrixkettenprodukt (TODO)}{16}{subsection.7.1}}
   148 \@writefile{toc}{\contentsline {subsection}{\numberline {7.2}Optimale Suchb\"aume (TODO)}{16}{subsection.7.2}}
   149 \@writefile{toc}{\contentsline {subsection}{\numberline {7.3}Editierdistanz}{16}{subsection.7.3}}
   150 \BKM@entry{id=50,dest={73656374696F6E2E38}}{537563686520696E2054657874656E}
   151 \newlabel{lst:TTlookup}{{8}{17}{Algorithmus zur Editierdistanz\relax }{lstlisting.8}{}}
   152 \@writefile{lol}{\contentsline {lstlisting}{\numberline {8}Algorithmus zur Editierdistanz}{17}{lstlisting.8}}
   153 \newlabel{lst:TTlookup}{{9}{17}{Algorithmus zum Spurgraphen\relax }{lstlisting.9}{}}
   154 \@writefile{lol}{\contentsline {lstlisting}{\numberline {9}Algorithmus zum Spurgraphen}{17}{lstlisting.9}}
   155 \@writefile{toc}{\contentsline {section}{\numberline {8}Suche in Texten}{17}{section.8}}
   156 \@writefile{lot}{\contentsline {table}{\numberline {2}{\ignorespaces next[j] Beispiel}}{17}{table.2}}
   157 \newlabel{tab:nextJ}{{2}{17}{next[j] Beispiel\relax }{table.2}{}}
   158 \newlabel{lst:TTlookup}{{10}{18}{KMP Algorithmus\relax }{lstlisting.10}{}}
   159 \@writefile{lol}{\contentsline {lstlisting}{\numberline {10}KMP Algorithmus}{18}{lstlisting.10}}
   160 \BKM@entry{id=51,dest={617070656E6469782E41}}{4C616E6461752D53796D626F6C65}
   161 \@writefile{toc}{\contentsline {section}{\numberline {A}Landau-Symbole}{19}{appendix.A}}
   162 \@writefile{lof}{\contentsline {figure}{\numberline {3}{\ignorespaces Definition der Landau Symbole}}{19}{figure.3}}
   163 \newlabel{fig:landau_sym}{{3}{19}{Definition der Landau Symbole\relax }{figure.3}{}}
   164 \newlabel{LastPage}{{}{19}{}{page.19}{}}