Runaway argument?
{\376\377\000L\000e\000c\000t\000u\000r\00 
! File ended while scanning use of \@@BOOKMARK.
<inserted text> 
                \par 
l.26 \begin{document}
                     
(./DI03000011-lecture-beamer-yt.out)
Runaway argument?
{\376\377\000L\000e\000c\000t\000u\000r\00 
! File ended while scanning use of \@@BOOKMARK.
<inserted text> 
                \par 
l.26 \begin{document}
                     

(/usr/share/texlive/texmf-dist/tex/latex/translator/translator-basic-dictionary
-English.dict)
(/usr/share/texlive/texmf-dist/tex/latex/translator/translator-bibliography-dic
tionary-English.dict)
(/usr/share/texlive/texmf-dist/tex/latex/translator/translator-environment-dict
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 30--30
 [][][][]  
! Misplaced alignment tab character &.
<inserted text> ...flash). \item Programmability &
                                                   Reconfigurability: System...
l.30 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[9]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 78--78
 [][][][]  
! Misplaced alignment tab character &.
<inserted text> ... states. \item Octal (Base 8) &
                                                   Hexadecimal (Base 16): Sh...
l.78 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[13]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (14.48672pt too wide) in paragraph at lines 150--150
 [] 
! Missing $ inserted.
<inserted text> 
                $
l.150 \end{frame}
                 
! Double superscript.
<inserted text> ...s an XOR operation: S = A ^ B ^
                                                   $C_in$. \item The Carry-o...
l.150 \end{frame}
                 
! Missing { inserted.
<to be read again> 
                   $
l.150 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.150 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.150 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.150 \end{frame}
                 

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.150 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.150 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[49]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[74]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 31--31
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[89]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 43--43
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 57--57
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.57 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[92]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 151--151
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[119]
Overfull \vbox (3.13988pt too high) detected at line 151

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 95--95
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[143]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 148--148
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[147]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[152]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 30--30
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[154]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 104--104
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.104 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.104 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.104 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.104 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.104 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.104 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[160]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 119--119
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.119 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.119 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.119 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.119 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[162]
Overfull \vbox (4.9316pt too high) detected at line 119

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 134--134
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.134 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.134 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.134 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.134 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[164]
Overfull \vbox (16.40244pt too high) detected at line 134

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[169]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 54--54
 [][][][]  

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                

! Package tikz Error: Giving up on this path. Did you forget a semicolon?.

See the tikz package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 \end{frame}
                
! Missing \endgroup inserted.
<inserted text> 
                \endgroup 
l.54 \end{frame}
                
! Undefined control sequence.
<recently read> \tikz@expand@last@token@ 
                                         
l.54 \end{frame}
                
! Missing number, treated as zero.
<to be read again> 
                   \let 
l.54 \end{frame}
                
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \let 
l.54 \end{frame}
                
Missing character: There is no o in font nullfont!
Missing character: There is no d in font nullfont!
Missing character: There is no o in font nullfont!
Missing character: There is no t in font nullfont!
Missing character: There is no B in font nullfont!
! Extra }, or forgotten $.
<recently read> }
                 
l.54 \end{frame}
                
! Extra }, or forgotten $.
<template> \unskip \hfil }
                          \hskip \tabcolsep \endtemplate 
l.54 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                
! Extra }, or forgotten $.
<template> \unskip \hfil }
                          \hskip \tabcolsep \endtemplate 
l.54 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.54 \end{frame}
                
! Undefined control sequence.
\pgfsys@call@end ->\pgfsys@end@save 
                                    \pgfsys@endscope 
l.54 \end{frame}
                
! Undefined control sequence.
\endpgfscope ...pgflinewidth =\pgfscope@linewidth 
                                                  \global \let \pgf@strokeco...
l.54 \end{frame}
                
! Missing number, treated as zero.
<to be read again> 
                   \global 
l.54 \end{frame}
                
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \global 
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                

Overfull \hbox (4.86664pt too wide) detected at line 54
[][]  [][][][]  [][][][]    [][][]    [][][]    [][][]    [][][] [][][][][][][]
[][]  [][][][]  $\OT1/cmss/m/n/10.95 ; [][][]$ [][]
! Extra }, or forgotten \endgroup.
\endpgfpicture ...globally \endgroup \hss \egroup 
                                                  \pgf@restore@layerlist@fro...
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                
! Extra }, or forgotten \endgroup.
\endpgfpicture ...dpicture \endgroup \hss \egroup 
                                                  \pgfsys@typesetpicturebox ...
l.54 \end{frame}
                

! LaTeX Error: \begin{center} on input line 54 ended by \end{tikzpicture}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 \end{frame}
                
! Infinite glue shrinkage found in a paragraph.
<argument> ...hskip:D \c_zero_dim \fi: \tex_par:D 
                                                  \hook_use:n {para/after}\@...
l.54 \end{frame}
                

! LaTeX Error: \begin{figure} on input line 54 ended by \end{center}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 \end{frame}
                

! LaTeX Error: \begin{beamer@framepauses} on input line 54 ended by \end{figure
}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.54 \end{frame}
                
! Missing } inserted.
<inserted text> 
                }
l.54 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[170]
! Extra \endgroup.
<recently read> \endgroup 
                          
l.54 \end{frame}
                
! Too many }'s.
\@next ...ons \expandafter {\the \beamer@envbody }
                                                  
l.54 \end{frame}
                

Overfull \hbox (13.45953pt too wide) in paragraph at lines 70--70
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.70 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.70 \end{frame}
                

Underfull \vbox (badness 10000) has occurred while \output is active
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[171]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 85--85
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.85 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.85 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.85 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.85 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[174]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 100--100
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.100 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.100 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.100 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[176]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 115--115
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.115 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.115 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.115 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.115 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.115 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.115 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[177]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [][][][]  

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.151 \end{frame}
                 

! Package tikz Error: Giving up on this path. Did you forget a semicolon?.

See the tikz package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing \endgroup inserted.
<inserted text> 
                \endgroup 
l.151 \end{frame}
                 
! Undefined control sequence.
<recently read> \tikz@expand@last@token@ 
                                         
l.151 \end{frame}
                 
! Missing number, treated as zero.
<to be read again> 
                   \let 
l.151 \end{frame}
                 
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \let 
l.151 \end{frame}
                 
Missing character: There is no c in font nullfont!
Missing character: There is no d in font nullfont!
Missing character: There is no o in font nullfont!
Missing character: There is no t in font nullfont!
Missing character: There is no B in font nullfont!
Missing character: There is no ' in font nullfont!
! Extra }, or forgotten $.
<recently read> }
                 
l.151 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.151 \end{frame}
                 
! Undefined control sequence.
\pgfsys@call@end ->\pgfsys@end@save 
                                    \pgfsys@endscope 
l.151 \end{frame}
                 
! Undefined control sequence.
\endpgfscope ...pgflinewidth =\pgfscope@linewidth 
                                                  \global \let \pgf@strokeco...
l.151 \end{frame}
                 
! Missing number, treated as zero.
<to be read again> 
                   \global 
l.151 \end{frame}
                 
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \global 
l.151 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.151 \end{frame}
                 

Overfull \hbox (4.86664pt too wide) detected at line 151
[][]  [][][][]  [][][][]    [][][]    [][][]    [][][] [][][][][][][][][]  [][]
[][] []  [][][] [][][][][][][][][] []  [][][] [][][][][][][][][] []       [][][
][][][]  [][][][]  $\OT1/cmss/m/n/10.95 ; [][][][]$ [][]
! Extra }, or forgotten \endgroup.
\endpgfpicture ...globally \endgroup \hss \egroup 
                                                  \pgf@restore@layerlist@fro...
l.151 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.151 \end{frame}
                 
! Extra }, or forgotten \endgroup.
\endpgfpicture ...dpicture \endgroup \hss \egroup 
                                                  \pgfsys@typesetpicturebox ...
l.151 \end{frame}
                 

! LaTeX Error: \begin{center} on input line 151 ended by \end{tikzpicture}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Infinite glue shrinkage found in a paragraph.
<argument> ...hskip:D \c_zero_dim \fi: \tex_par:D 
                                                  \hook_use:n {para/after}\@...
l.151 \end{frame}
                 

! LaTeX Error: \begin{figure} on input line 151 ended by \end{center}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 

! LaTeX Error: \begin{beamer@framepauses} on input line 151 ended by \end{figur
e}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.151 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.151 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[179]
! Extra \endgroup.
<recently read> \endgroup 
                          
l.151 \end{frame}
                 
! Too many }'s.
\@next ...ons \expandafter {\the \beamer@envbody }
                                                  
l.151 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) in paragraph at lines 166--166
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.166 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.166 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.166 \end{frame}
                 

Underfull \vbox (badness 10000) has occurred while \output is active
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[180]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 166--166
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.166 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.166 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[197]) (./lecture-slides-body/lecture-13-body.tex
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 30--30
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

Overfull \hbox (54.03146pt too wide) in paragraph at lines 30--30
[]\OML/cmm/m/it/10.95 :\OT1/mathkerncmss/m/sl/10.95 Itestablishesthatthecomplem
entofaproductisequaltothesumofthecomplements\OML/cmm/m/it/10.95 :$  
! Missing } inserted.
<inserted text> 
                }
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Extra }, or forgotten $.
\overline  #1->\@@overline {#1}
                               
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[200]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 64--64
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 79--79
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                

Overfull \hbox (54.03146pt too wide) in paragraph at lines 79--79
[]\OML/cmm/m/it/10.95 :\OT1/mathkerncmss/m/sl/10.95 Itestablishesthatthecomplem
entofasumisequaltotheproductofthecomplements\OML/cmm/m/it/10.95 :$  
! Missing } inserted.
<inserted text> 
                }
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Extra }, or forgotten $.
\overline  #1->\@@overline {#1}
                               
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.79 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[202]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 113--113
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 128--128
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.128 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.128 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.128 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.128 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.128 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.128 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[204]
Overfull \vbox (4.27884pt too high) detected at line 128

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 143--143
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.143 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.143 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.143 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[206]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 158--158
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.158 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.158 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.158 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[208]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [] 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.47 \end{frame}
                

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.47 \end{frame}
                

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.47 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 89--89
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.89 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[217]
Overfull \hbox (13.45953pt too wide) in paragraph at lines 103--103
 [][][][]  
--
 [][][][]  

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.133 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [][][][]  

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...de/.style={transform shape}]\n 
                                                  \\draw (0,0) grid (4,2);\n...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...]\n \\draw (0,0) grid (4,2);\n 
                                                  \\draw (0,2) -- (-0.8, 2.8...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...[pos=0.3, below left] {$A$};\n 
                                                  \\node at (-0.4, 1.5) {$0$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (-0.4, 1.5) {$0$};\n 
                                                  \\node at (-0.4, 0.5) {$1$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (-0.4, 0.5) {$1$};\n 
                                                  \\node at (0.5, 2.3) {$00$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (0.5, 2.3) {$00$};\n 
                                                  \\node at (1.5, 2.3) {$01$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (1.5, 2.3) {$01$};\n 
                                                  \\node at (2.5, 2.3) {$11$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (2.5, 2.3) {$11$};\n 
                                                  \\node at (3.5, 2.3) {$10$...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (3.5, 2.3) {$10$};\n 
                                                  \\node at (0.5, 1.5) {$m_0...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (0.5, 1.5) {$m_0$};\n 
                                                  \\node at (1.5, 1.5) {$m_1...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (1.5, 1.5) {$m_1$};\n 
                                                  \\node at (2.5, 1.5) {$m_3...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (2.5, 1.5) {$m_3$};\n 
                                                  \\node at (3.5, 1.5) {$m_2...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (3.5, 1.5) {$m_2$};\n 
                                                  \\node at (0.5, 0.5) {$m_4...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (0.5, 0.5) {$m_4$};\n 
                                                  \\node at (1.5, 0.5) {$m_5...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (1.5, 0.5) {$m_5$};\n 
                                                  \\node at (2.5, 0.5) {$m_7...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (2.5, 0.5) {$m_7$};\n 
                                                  \\node at (3.5, 0.5) {$m_6...
l.47 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (3.5, 0.5) {$m_6$};\n 
                                                  \\end{tikzpicture} \end {f...
l.47 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[226]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [][][][]  

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...egin{tikzpicture}[scale=0.9]\n 
                                                  \\draw (0,0) grid (4,4);\n...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...]\n \\draw (0,0) grid (4,4);\n 
                                                  \\draw (0,4) -- (-0.8, 4.8...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...pos=0.3, below left] {$AB$};\n 
                                                  \\node at (-0.4, 3.5) {$00...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (-0.4, 3.5) {$00$};\n 
                                                  \\node at (-0.4, 2.5) {$01...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (-0.4, 2.5) {$01$};\n 
                                                  \\node at (-0.4, 1.5) {$11...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (-0.4, 1.5) {$11$};\n 
                                                  \\node at (-0.4, 0.5) {$10...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\node at (-0.4, 0.5) {$10$};\n 
                                                  \\node at (0.5, 4.3) {$00$...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (0.5, 4.3) {$00$};\n 
                                                  \\node at (1.5, 4.3) {$01$...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (1.5, 4.3) {$01$};\n 
                                                  \\node at (2.5, 4.3) {$11$...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (2.5, 4.3) {$11$};\n 
                                                  \\node at (3.5, 4.3) {$10$...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...\\node at (3.5, 4.3) {$10$};\n 
                                                  \\node at (0.5, 3.5) {$0$}...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ... \\node at (3.5, 3.5) {$0$};\n 
                                                  \\node at (0.5, 2.5) {$0$}...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ... \\node at (3.5, 2.5) {$0$};\n 
                                                  \\node at (0.5, 1.5) {$0$}...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ... \\node at (3.5, 1.5) {$0$};\n 
                                                  \\node at (0.5, 0.5) {$1$}...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ... \\node at (3.5, 0.5) {$1$};\n 
                                                  \\draw[rounded corners=3pt...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ..., 2.1) rectangle (2.9, 3.9);\n 
                                                  \\node[red, anchor=west] a...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ....0) {Group 1 (Quad): $A'D$};\n 
                                                  \\draw[blue, thick] (0, 0....
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...) -- (0.8, 0.8) -- (0, 0.8);\n 
                                                  \\draw[blue, thick] (4, 0....
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...) -- (3.2, 0.8) -- (4, 0.8);\n 
                                                  \\node[blue, anchor=west] ...
l.65 \end{frame}
                
! Undefined control sequence.
<inserted text> ...) {Group 2 (Pair): $AB'D'$};\n 
                                                  \\end{tikzpicture} \end {f...
l.65 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[229]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 148--148
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.148 \end{frame}
                 

Overfull \hbox (378.13173pt too wide) in paragraph at lines 148--148
[] \OT1/mathkerncmss/m/sl/10.95 m\OT1/cmss/m/n/10.95 (0\OML/cmm/m/it/10.95 ; \O
T1/cmss/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/cmss/m/n/10.95 2)\OML/cmm/m/it/10
.95 ; \OT1/mathkerncmss/m/sl/10.95 wepopulatecells\OT1/cmss/m/n/10.95 0\OML/cmm
/m/it/10.95 ; \OT1/cmss/m/n/10.95 1\OML/cmm/m/it/10.95 ; \OT1/mathkerncmss/m/sl
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 30--30
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.30 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.30 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[266]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 80--80
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.80 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.80 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.80 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[268]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [][][][]  

! LaTeX Error: There's no line here to end.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.120 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.120 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.120 \end{frame}
                 

! Package tikz Error: Giving up on this path. Did you forget a semicolon?.

See the tikz package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.120 \end{frame}
                 
! Missing \endgroup inserted.
<inserted text> 
                \endgroup 
l.120 \end{frame}
                 
! Undefined control sequence.
<recently read> \tikz@expand@last@token@ 
                                         
l.120 \end{frame}
                 
! Missing number, treated as zero.
<to be read again> 
                   \let 
l.120 \end{frame}
                 
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \let 
l.120 \end{frame}
                 
Missing character: There is no o in font nullfont!
Missing character: There is no v in font nullfont!
Missing character: There is no e in font nullfont!
Missing character: There is no r in font nullfont!
Missing character: There is no l in font nullfont!
Missing character: There is no i in font nullfont!
--
Missing character: There is no e in font nullfont!
Missing character: There is no V in font nullfont!
! Missing $ inserted.
<inserted text> 
                $
l.120 \end{frame}
                 
! Extra }, or forgotten $.
<inserted text> ... {$V_{out} = \\overline{V_{in}}
                                                  $}; \filldraw (3.5, 2.9) c...
l.120 \end{frame}
                 
Missing character: There is no ; in font nullfont!
! Undefined control sequence.
\pgfsys@call@end ->\pgfsys@end@save 
                                    \pgfsys@endscope 
l.120 \end{frame}
                 
! Undefined control sequence.
\endpgfscope ...pgflinewidth =\pgfscope@linewidth 
                                                  \global \let \pgf@strokeco...
l.120 \end{frame}
                 
! Missing number, treated as zero.
<to be read again> 
                   \global 
l.120 \end{frame}
                 
! Illegal unit of measure (pt inserted).
<to be read again> 
                   \global 
l.120 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.120 \end{frame}
                 

Overfull \hbox (7.05005pt too wide) detected at line 120
[]  [][][][]  [][][][][][][][] []  [][][]  [][][]  [][][]   [][][][]   [][][][]
  [][][][][][][]  [][][][][][][][] []  [][][][]  [][][][] $[]$ [][][][][][][][]
[]  [][][]  [][][]  [][][]  [][]
! Extra }, or forgotten \endgroup.
\endpgfpicture ...globally \endgroup \hss \egroup 
                                                  \pgf@restore@layerlist@fro...
l.120 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.120 \end{frame}
                 
! Extra }, or forgotten \endgroup.
\endpgfpicture ...dpicture \endgroup \hss \egroup 
                                                  \pgfsys@typesetpicturebox ...
l.120 \end{frame}
                 

! LaTeX Error: \begin{center} on input line 120 ended by \end{tikzpicture}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.120 \end{frame}
                 
! Infinite glue shrinkage found in a paragraph.
<argument> ...hskip:D \c_zero_dim \fi: \tex_par:D 
                                                  \hook_use:n {para/after}\@...
l.120 \end{frame}
                 

! LaTeX Error: \begin{figure} on input line 120 ended by \end{center}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.120 \end{frame}
                 

! LaTeX Error: \begin{beamer@framepauses} on input line 120 ended by \end{figur
e}.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.120 \end{frame}
                 
! Missing } inserted.
<inserted text> 
                }
l.120 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[298]
! Extra \endgroup.
<recently read> \endgroup 
                          
l.120 \end{frame}
                 
! Too many }'s.
\@next ...ons \expandafter {\the \beamer@envbody }
                                                  
l.120 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) in paragraph at lines 135--135
 [][][][]  

Underfull \vbox (badness 10000) has occurred while \output is active
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 43--43
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.43 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[306]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 137--137
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.137 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.137 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.137 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.137 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.137 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.137 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[314]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 31--31
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.31 \end{frame}
                

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.31 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.31 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[338]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 88--88
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.88 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.88 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.88 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.88 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[340]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 105--105
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.105 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.105 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.105 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.105 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 169--169
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.169 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.169 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.169 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.169 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
 [][][][]  

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.186 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.186 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.186 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.186 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.186 \end{frame}
                 

! Package amsmath Error: \bar allowed only in math mode.

See the amsmath package documentation for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.186 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 202--202
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[348]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 217--217
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.217 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.217 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[350]
Overfull \vbox (13.37604pt too high) detected at line 217

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 15--15
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.15 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.15 \end{frame}
                

Overfull \hbox (96.21689pt too wide) in paragraph at lines 15--15
\OT1/mathkerncmss/m/sl/10.95 BBin\OML/cmm/m/it/10.95 ; \OT1/mathkerncmss/m/sl/1
0.95 whichisactivewhentheminuendAissmallerthanthecombinationofBandBin\OML/cmm/m
/it/10.95 : 

--
Overfull \hbox (59.83684pt too wide) in paragraph at lines 51--51
 [] 
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.51 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.51 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.51 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.51 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[354]
Overfull \vbox (6.89696pt too high) detected at line 51

--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 154--154
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.154 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.154 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 

! LaTeX Error: Command \end{itemize} invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.154 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.154 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[365]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 45--45
 [][][][]  
! Missing } inserted.
<inserted text> 
                }
l.45 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.45 \end{frame}
                
! Extra }, or forgotten $.
<inserted text> ...$ outputs $(Y_0$ to $Y_{2$^s-1}
                                                  )$. \item The select input...
l.45 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[389]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 95--95
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                

! LaTeX Error: Command \item invalid in math mode.

See the LaTeX manual or LaTeX Companion for explanation.
Type  H <return>  for immediate help.
 ...                                              
                                                  
l.95 \end{frame}
                
! Missing $ inserted.
<inserted text> 
                $
l.95 \end{frame}
                

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[393]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
--
Overfull \hbox (13.45953pt too wide) in paragraph at lines 202--202
 [][][][]  
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 
! Missing $ inserted.
<inserted text> 
                $
l.202 \end{frame}
                 

Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]  
[399]
Overfull \hbox (13.45953pt too wide) has occurred while \output is active
 [][][][]