\relax 
\providecommand\hyper@newdestlabel[2]{}
\providecommand\zref@newlabel[2]{}
\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument}
\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined
\global\let\oldcontentsline\contentsline
\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}}
\global\let\oldnewlabel\newlabel
\gdef\newlabel#1#2{\newlabelxx{#1}#2}
\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}}
\AtEndDocument{\ifx\hyper@anchor\@undefined
\let\contentsline\oldcontentsline
\let\newlabel\oldnewlabel
\fi}
\fi}
\global\let\hyper@last\relax 
\gdef\HyperFirstAtBeginDocument#1{#1}
\providecommand\HyField@AuxAddToFields[1]{}
\providecommand\HyField@AuxAddToCoFields[2]{}
\providecommand\AtEndDvi@Check{}
\AtEndDvi@Check
\@writefile{toc}{\beamer@endinputifotherversion {3.33pt}}
\@writefile{nav}{\beamer@endinputifotherversion {3.33pt}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {1}{1}}}
\@writefile{nav}{\headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {2}{2}}}
\@writefile{toc}{\beamer@sectionintoc {1}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{3}{0}{1}}
\@writefile{nav}{\headcommand {\sectionentry {1}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{3}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Introduction and Problem definition}}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{2}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{3}{3/3}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{4}{4/4}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{5}{5/5}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
\@writefile{nav}{\headcommand {\slideentry {1}{0}{6}{6/6}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
\@writefile{toc}{\beamer@sectionintoc {2}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Using the energy reduction method}}{7}{0}{2}}
\@writefile{nav}{\headcommand {\sectionentry {2}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Using the energy reduction method}}{7}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Using the energy reduction method}}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{6}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{6}}}
\@writefile{nav}{\headcommand {\slideentry {2}{0}{7}{7/7}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
\@writefile{toc}{\beamer@sectionintoc {3}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Contributions}}{8}{0}{3}}
\@writefile{nav}{\headcommand {\sectionentry {3}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Contributions}}{8}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {Contributions}}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{7}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{7}}}
\@writefile{toc}{\beamer@subsectionintoc {3}{1}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.1 Energy optimization of homogeneous platform}}{8}{0}{3}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{3}{1}{8}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.1 Energy optimization of homogeneous platform}}}\headcommand {\beamer@subsectionpages {8}{7}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{0}{8/8}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{1}{9/9}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
\providecommand*\caption@xref[2]{\@setref\relax\@undefined{#1}}
\newlabel{fig:h1}{{1a}{10}{Subfigure 1a}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:h1}{10}}
\newlabel{sub@fig:h1}{{(a)}{a}{Subfigure 1a\relax }{Doc-Start}{}}
\newlabel{fig:h2}{{1b}{10}{Subfigure 1b}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:h2}{10}}
\newlabel{sub@fig:h2}{{(b)}{b}{Subfigure 1b\relax }{Doc-Start}{}}
\newlabel{fig:homo}{{1}{10}{Parallel tasks on homogeneous platform\relax }{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:homo}{10}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{2}{10/10}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
\@writefile{snm}{\beamer@slide {eq:pd}{11}}
\newlabel{eq:pd}{{1}{11}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:ps}{11}}
\newlabel{eq:ps}{{2}{11}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{3}{11/11}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{4}{12/12}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{5}{13/13}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
\newlabel{fig:r2}{{2a}{14}{Subfigure 2a}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:r2}{14}}
\newlabel{sub@fig:r2}{{(a)}{a}{Subfigure 2a\relax }{Doc-Start}{}}
\newlabel{fig:r1}{{2b}{14}{Subfigure 2b}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:r1}{14}}
\newlabel{sub@fig:r1}{{(b)}{b}{Subfigure 2b\relax }{Doc-Start}{}}
\newlabel{fig:rel}{{\caption@xref {fig:rel}{ on input line 384}}{14}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:rel}{14}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{6}{14/14}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{7}{15/15}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{8}{16/16}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{9}{17/17}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{10}{18/18}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{11}{19/19}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{12}{20/20}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
\@writefile{nav}{\headcommand {\slideentry {3}{1}{13}{21/21}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}}
\@writefile{toc}{\beamer@subsectionintoc {3}{2}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.2 Energy optimization of heterogeneous platform}}{22}{0}{3}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{3}{2}{22}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.2 Energy optimization of heterogeneous platform}}}\headcommand {\beamer@subsectionpages {1}{21}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{0}{22/22}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{1}{23/23}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}}
\newlabel{fig:heter}{{\caption@xref {fig:heter}{ on input line 562}}{24}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {fig:heter}{24}}
\@writefile{snm}{\beamer@slide {eq:perf}{24}}
\newlabel{eq:perf}{{3}{24}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{2}{24/24}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
\newlabel{eq:energy}{{4}{25}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{3}{25/25}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{4}{26/26}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}}
\@writefile{snm}{\beamer@slide {eq:max}{27}}
\newlabel{eq:max}{{5}{27}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{5}{27/27}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{6}{28/28}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{7}{29/29}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{8}{30/30}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{9}{31/31}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{10}{32/32}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{11}{33/33}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{12}{34/34}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{13}{35/35}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {35}{35}}}
\@writefile{snm}{\beamer@slide {eq:perf}{36}}
\newlabel{eq:perf}{{6}{36}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:energy}{36}}
\newlabel{eq:energy}{{7}{36}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:max}{36}}
\newlabel{eq:max}{{8}{36}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{14}{36/36}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{15}{37/37}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{16}{38/38}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
\@writefile{nav}{\headcommand {\slideentry {3}{2}{17}{39/39}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {39}{39}}}
\@writefile{toc}{\beamer@subsectionintoc {3}{3}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.3 Energy optimization of asynchronous applications}}{40}{0}{3}}
\@writefile{nav}{\headcommand {\beamer@subsectionentry {0}{3}{3}{40}{\relax \fontsize  {10}{12}\selectfont  \abovedisplayskip 10\p@ plus2\p@ minus5\p@ \abovedisplayshortskip \z@ plus3\p@ \belowdisplayshortskip 6\p@ plus3\p@ minus3\p@ \def \leftmargin \leftmargini \topsep 3\p@ plus2\p@ minus2.5\p@ \parsep 0\p@ \itemsep 3\p@ plus2\p@ minus3\p@ {\leftmargin \leftmargini \topsep 6\p@ plus2\p@ minus2\p@ \parsep 3\p@ plus2\p@ minus\p@ \itemsep \parsep }\belowdisplayskip \abovedisplayskip {3.3 Energy optimization of asynchronous applications}}}\headcommand {\beamer@subsectionpages {1}{39}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{0}{40/40}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{1}{41/41}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{2}{42/42}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{3}{43/43}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}}
\@writefile{snm}{\beamer@slide {eq:asyn_time}{44}}
\newlabel{eq:asyn_time}{{9}{44}{}{Doc-Start}{}}
\@writefile{snm}{\beamer@slide {eq:asyn_perf}{44}}
\newlabel{eq:asyn_perf}{{10}{44}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{4}{44/44}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}}
\@writefile{snm}{\beamer@slide {eq:asyn_energy1}{45}}
\newlabel{eq:asyn_energy1}{{11}{45}{}{Doc-Start}{}}
\newlabel{eq:asyn_energy}{{12}{45}{}{Doc-Start}{}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{5}{45/45}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{6}{46/46}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {46}{46}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{7}{47/47}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{8}{48/48}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{9}{49/49}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{10}{50/50}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
\@writefile{nav}{\headcommand {\slideentry {3}{3}{11}{51/51}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {51}{51}}}
\@writefile{toc}{\beamer@sectionintoc {4}{Conclusions}{52}{0}{4}}
\@writefile{nav}{\headcommand {\sectionentry {4}{Conclusions}{52}{Conclusions}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{51}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{51}}}
\@writefile{nav}{\headcommand {\slideentry {4}{0}{12}{52/52}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {52}{52}}}
\@writefile{nav}{\headcommand {\slideentry {4}{0}{13}{53/53}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {53}{53}}}
\@writefile{toc}{\beamer@sectionintoc {5}{Perspectives}{54}{0}{5}}
\@writefile{nav}{\headcommand {\sectionentry {5}{Perspectives}{54}{Perspectives}{0}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{53}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{53}}}
\@writefile{nav}{\headcommand {\slideentry {5}{0}{14}{54/54}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {54}{54}}}
\@writefile{nav}{\headcommand {\slideentry {5}{0}{15}{55/55}{}{0}}}
\@writefile{nav}{\headcommand {\beamer@framepages {55}{55}}}
\@writefile{nav}{\headcommand {\beamer@partpages {1}{55}}}
\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{55}}}
\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{55}}}
\@writefile{nav}{\headcommand {\beamer@documentpages {55}}}
\@writefile{nav}{\headcommand {\def \inserttotalframenumber {55}}}
\zref@newlabel{LastPage}{\default{}\page{55}\abspage{55}}