]> AND Private Git Repository - ThesisAhmed.git/blobdiff - thesis-presentation/AhmedSlides.aux
Logo AND Algorithmique Numérique Distribuée
Private GIT Repository
projects / ThesisAhmed.git / blobdiff
? search:
summary | shortlog | log | commit | commitdiff | tree
raw | inline | side by side
addind the presentation corrections
[ThesisAhmed.git] / thesis-presentation / AhmedSlides.aux
diff --git a/thesis-presentation/AhmedSlides.aux b/thesis-presentation/AhmedSlides.aux
index 7ac6830cfa8880c5c37a6f2686cc6ef8ca8784cc..f247f0997f39f4dc85ccef7cafa510b235b60261 100644 (file)
--- a/thesis-presentation/AhmedSlides.aux
+++ b/thesis-presentation/AhmedSlides.aux
@@ -29,178 +29,153 @@
 \@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 {\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 {\slideentry {1}{0}{0}{3/3}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {3}{3}}}
-\@writefile{nav}{\headcommand {\slideentry {1}{0}{4}{4/4}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {1}{0}{1}{4/4}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {4}{4}}}
-\@writefile{nav}{\headcommand {\slideentry {1}{0}{5}{5/5}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {1}{0}{2}{5/5}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {5}{5}}}
-\@writefile{nav}{\headcommand {\slideentry {1}{0}{6}{6/6}{}{0}}}
+\@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 {Motivations}}{6}{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 {Motivations}}{6}{\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 {Motivations}}{0}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{5}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{5}}}
+\@writefile{nav}{\headcommand {\slideentry {2}{0}{0}{6/6}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {6}{6}}}
 \@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{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 {Energy optimization of a homogeneous platform}}{7}{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 {Energy optimization of a homogeneous platform}}{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 {Energy optimization of a homogeneous platform}}{0}}}
 \@writefile{nav}{\headcommand {\beamer@sectionpages {1}{6}}}
 \@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{6}}}
 \@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 {\slideentry {3}{0}{0}{7/7}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {7}{7}}}
 \@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 {\slideentry {3}{0}{1}{8/8}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {8}{8}}}
 \@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}}
 \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{fig:h1}{{1a}{9}{Subfigure 1a}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:h1}{9}}
 \newlabel{sub@fig:h1}{{(a)}{a}{Subfigure 1a\relax }{Doc-Start}{}}
 \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{fig:h2}{{1b}{9}{Subfigure 1b}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:h2}{9}}
 \newlabel{sub@fig:h2}{{(b)}{b}{Subfigure 1b\relax }{Doc-Start}{}}
 \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}}}
+\newlabel{fig:homo}{{\caption@xref {fig:homo}{ on input line 278}}{9}{}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:homo}{9}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{2}{9/9}{}{0}}}
+\@writefile{nav}{\headcommand {\beamer@framepages {9}{9}}}
+\@writefile{snm}{\beamer@slide {eq:pd}{10}}
+\newlabel{eq:pd}{{1}{10}{}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {eq:ps}{10}}
+\newlabel{eq:ps}{{2}{10}{}{Doc-Start}{}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{3}{10/10}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {10}{10}}}
 \@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 {\slideentry {3}{0}{4}{11/11}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {11}{11}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{4}{12/12}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{5}{12/12}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {12}{12}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{5}{13/13}{}{0}}}
+\newlabel{fig:r2}{{1c}{13}{Subfigure 1c}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:r2}{13}}
+\newlabel{sub@fig:r2}{{(c)}{c}{Subfigure 1c\relax }{Doc-Start}{}}
+\newlabel{fig:r1}{{1d}{13}{Subfigure 1d}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:r1}{13}}
+\newlabel{sub@fig:r1}{{(d)}{d}{Subfigure 1d\relax }{Doc-Start}{}}
+\newlabel{fig:rel}{{\caption@xref {fig:rel}{ on input line 381}}{13}{}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:rel}{13}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{6}{13/13}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {13}{13}}}
 \@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 {\slideentry {3}{0}{7}{14/14}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {14}{14}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{7}{15/15}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{8}{15/15}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {15}{15}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{8}{16/16}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{9}{16/16}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {16}{16}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{9}{17/17}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{10}{17/17}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {17}{17}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{10}{18/18}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{11}{18/18}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {18}{18}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{11}{19/19}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{12}{19/19}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {19}{19}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{12}{20/20}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {3}{0}{13}{20/20}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {20}{20}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{1}{13}{21/21}{}{0}}}
+\@writefile{toc}{\beamer@sectionintoc {4}{\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 {Energy optimization of a heterogeneous platform}}{21}{0}{4}}
+\@writefile{nav}{\headcommand {\sectionentry {4}{\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 {Energy optimization of a heterogeneous platform}}{21}{\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 {Energy optimization of a heterogeneous platform}}{0}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{20}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{20}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{0}{21/21}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {21}{21}}}
 \@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 {\slideentry {4}{0}{1}{22/22}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {22}{22}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{1}{23/23}{}{0}}}
+\newlabel{fig:heter}{{\caption@xref {fig:heter}{ on input line 562}}{23}{}{Doc-Start}{}}
+\@writefile{snm}{\beamer@slide {fig:heter}{23}}
+\@writefile{snm}{\beamer@slide {eq:perf}{23}}
+\newlabel{eq:perf}{{3}{23}{}{Doc-Start}{}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{2}{23/23}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {23}{23}}}
 \@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}}}
+\newlabel{eq:energy}{{4}{24}{}{Doc-Start}{}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{3}{24/24}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {24}{24}}}
 \@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 {\slideentry {4}{0}{4}{25/25}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {25}{25}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{4}{26/26}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{5}{26/26}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {26}{26}}}
 \@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 {\slideentry {4}{0}{6}{27/27}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {27}{27}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{6}{28/28}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{7}{28/28}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {28}{28}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{7}{29/29}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{8}{29/29}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {29}{29}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{8}{30/30}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{9}{30/30}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {30}{30}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{9}{31/31}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{10}{31/31}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {31}{31}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{10}{32/32}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{11}{32/32}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {32}{32}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{11}{33/33}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{12}{33/33}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {33}{33}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{12}{34/34}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{13}{34/34}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {34}{34}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{13}{35/35}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {4}{0}{14}{35/35}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {35}{35}}}
 \@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 {\slideentry {4}{0}{15}{36/36}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {36}{36}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{15}{37/37}{}{0}}}
+\@writefile{toc}{\beamer@sectionintoc {5}{\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 {Energy optimization of asynchronous applications}}{37}{0}{5}}
+\@writefile{nav}{\headcommand {\sectionentry {5}{\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 {Energy optimization of asynchronous applications}}{37}{\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 {Energy optimization of asynchronous applications}}{0}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{36}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{36}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{0}{37/37}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {37}{37}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{16}{38/38}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{1}{38/38}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {38}{38}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{2}{17}{39/39}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{2}{39/39}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {39}{39}}}
 \@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 {\slideentry {5}{0}{3}{40/40}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {40}{40}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{1}{41/41}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{4}{41/41}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {41}{41}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{2}{42/42}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{5}{42/42}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {42}{42}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{3}{43/43}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{6}{43/43}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {43}{43}}}
 \@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 {\slideentry {5}{0}{7}{44/44}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {44}{44}}}
 \@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 {\slideentry {5}{0}{8}{45/45}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {45}{45}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{6}{46/46}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{9}{46/46}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {46}{46}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {46}{46}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{7}{47/47}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {5}{0}{10}{47/47}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {47}{47}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{8}{48/48}{}{0}}}
+\@writefile{toc}{\beamer@sectionintoc {6}{Conclusions and Perspectives}{48}{0}{6}}
+\@writefile{nav}{\headcommand {\sectionentry {6}{Conclusions and Perspectives}{48}{Conclusions and Perspectives}{0}}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{47}}}
+\@writefile{nav}{\headcommand {\beamer@subsectionpages {1}{47}}}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{0}{48/48}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {48}{48}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{9}{49/49}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{1}{49/49}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {49}{49}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{10}{50/50}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{2}{50/50}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {50}{50}}}
-\@writefile{nav}{\headcommand {\slideentry {3}{3}{11}{51/51}{}{0}}}
+\@writefile{nav}{\headcommand {\slideentry {6}{0}{3}{51/51}{}{0}}}
 \@writefile{nav}{\headcommand {\beamer@framepages {51}{51}}}
 \@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@partpages {1}{51}}}
 \@writefile{nav}{\headcommand {\beamer@subsectionpages {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}}
+\@writefile{nav}{\headcommand {\beamer@sectionpages {1}{51}}}
+\@writefile{nav}{\headcommand {\beamer@documentpages {51}}}
+\@writefile{nav}{\headcommand {\def \inserttotalframenumber {51}}}
+\zref@newlabel{LastPage}{\default{}\page{51}\abspage{51}}
These d ahmed