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+   defining Unicode char U+00A1 (decimal 161)
+   defining Unicode char U+00A3 (decimal 163)
+   defining Unicode char U+00AB (decimal 171)
+   defining Unicode char U+00BB (decimal 187)
+   defining Unicode char U+00BF (decimal 191)
+   defining Unicode char U+00C0 (decimal 192)
+   defining Unicode char U+00C1 (decimal 193)
+   defining Unicode char U+00C2 (decimal 194)
+   defining Unicode char U+00C3 (decimal 195)
+   defining Unicode char U+00C4 (decimal 196)
+   defining Unicode char U+00C5 (decimal 197)
+   defining Unicode char U+00C6 (decimal 198)
+   defining Unicode char U+00C7 (decimal 199)
+   defining Unicode char U+00C8 (decimal 200)
+   defining Unicode char U+00C9 (decimal 201)
+   defining Unicode char U+00CA (decimal 202)
+   defining Unicode char U+00CB (decimal 203)
+   defining Unicode char U+00CC (decimal 204)
+   defining Unicode char U+00CD (decimal 205)
+   defining Unicode char U+00CE (decimal 206)
+   defining Unicode char U+00CF (decimal 207)
+   defining Unicode char U+00D0 (decimal 208)
+   defining Unicode char U+00D1 (decimal 209)
+   defining Unicode char U+00D2 (decimal 210)
+   defining Unicode char U+00D3 (decimal 211)
+   defining Unicode char U+00D4 (decimal 212)
+   defining Unicode char U+00D5 (decimal 213)
+   defining Unicode char U+00D6 (decimal 214)
+   defining Unicode char U+00D8 (decimal 216)
+   defining Unicode char U+00D9 (decimal 217)
+   defining Unicode char U+00DA (decimal 218)
+   defining Unicode char U+00DB (decimal 219)
+   defining Unicode char U+00DC (decimal 220)
+   defining Unicode char U+00DD (decimal 221)
+   defining Unicode char U+00DE (decimal 222)
+   defining Unicode char U+00DF (decimal 223)
+   defining Unicode char U+00E0 (decimal 224)
+   defining Unicode char U+00E1 (decimal 225)
+   defining Unicode char U+00E2 (decimal 226)
+   defining Unicode char U+00E3 (decimal 227)
+   defining Unicode char U+00E4 (decimal 228)
+   defining Unicode char U+00E5 (decimal 229)
+   defining Unicode char U+00E6 (decimal 230)
+   defining Unicode char U+00E7 (decimal 231)
+   defining Unicode char U+00E8 (decimal 232)
+   defining Unicode char U+00E9 (decimal 233)
+   defining Unicode char U+00EA (decimal 234)
+   defining Unicode char U+00EB (decimal 235)
+   defining Unicode char U+00EC (decimal 236)
+   defining Unicode char U+00ED (decimal 237)
+   defining Unicode char U+00EE (decimal 238)
+   defining Unicode char U+00EF (decimal 239)
+   defining Unicode char U+00F0 (decimal 240)
+   defining Unicode char U+00F1 (decimal 241)
+   defining Unicode char U+00F2 (decimal 242)
+   defining Unicode char U+00F3 (decimal 243)
+   defining Unicode char U+00F4 (decimal 244)
+   defining Unicode char U+00F5 (decimal 245)
+   defining Unicode char U+00F6 (decimal 246)
+   defining Unicode char U+00F8 (decimal 248)
+   defining Unicode char U+00F9 (decimal 249)
+   defining Unicode char U+00FA (decimal 250)
+   defining Unicode char U+00FB (decimal 251)
+   defining Unicode char U+00FC (decimal 252)
+   defining Unicode char U+00FD (decimal 253)
+   defining Unicode char U+00FE (decimal 254)
+   defining Unicode char U+00FF (decimal 255)
+   defining Unicode char U+0102 (decimal 258)
+   defining Unicode char U+0103 (decimal 259)
+   defining Unicode char U+0104 (decimal 260)
+   defining Unicode char U+0105 (decimal 261)
+   defining Unicode char U+0106 (decimal 262)
+   defining Unicode char U+0107 (decimal 263)
+   defining Unicode char U+010C (decimal 268)
+   defining Unicode char U+010D (decimal 269)
+   defining Unicode char U+010E (decimal 270)
+   defining Unicode char U+010F (decimal 271)
+   defining Unicode char U+0110 (decimal 272)
+   defining Unicode char U+0111 (decimal 273)
+   defining Unicode char U+0118 (decimal 280)
+   defining Unicode char U+0119 (decimal 281)
+   defining Unicode char U+011A (decimal 282)
+   defining Unicode char U+011B (decimal 283)
+   defining Unicode char U+011E (decimal 286)
+   defining Unicode char U+011F (decimal 287)
+   defining Unicode char U+0130 (decimal 304)
+   defining Unicode char U+0131 (decimal 305)
+   defining Unicode char U+0132 (decimal 306)
+   defining Unicode char U+0133 (decimal 307)
+   defining Unicode char U+0139 (decimal 313)
+   defining Unicode char U+013A (decimal 314)
+   defining Unicode char U+013D (decimal 317)
+   defining Unicode char U+013E (decimal 318)
+   defining Unicode char U+0141 (decimal 321)
+   defining Unicode char U+0142 (decimal 322)
+   defining Unicode char U+0143 (decimal 323)
+   defining Unicode char U+0144 (decimal 324)
+   defining Unicode char U+0147 (decimal 327)
+   defining Unicode char U+0148 (decimal 328)
+   defining Unicode char U+014A (decimal 330)
+   defining Unicode char U+014B (decimal 331)
+   defining Unicode char U+0150 (decimal 336)
+   defining Unicode char U+0151 (decimal 337)
+   defining Unicode char U+0152 (decimal 338)
+   defining Unicode char U+0153 (decimal 339)
+   defining Unicode char U+0154 (decimal 340)
+   defining Unicode char U+0155 (decimal 341)
+   defining Unicode char U+0158 (decimal 344)
+   defining Unicode char U+0159 (decimal 345)
+   defining Unicode char U+015A (decimal 346)
+   defining Unicode char U+015B (decimal 347)
+   defining Unicode char U+015E (decimal 350)
+   defining Unicode char U+015F (decimal 351)
+   defining Unicode char U+0160 (decimal 352)
+   defining Unicode char U+0161 (decimal 353)
+   defining Unicode char U+0162 (decimal 354)
+   defining Unicode char U+0163 (decimal 355)
+   defining Unicode char U+0164 (decimal 356)
+   defining Unicode char U+0165 (decimal 357)
+   defining Unicode char U+016E (decimal 366)
+   defining Unicode char U+016F (decimal 367)
+   defining Unicode char U+0170 (decimal 368)
+   defining Unicode char U+0171 (decimal 369)
+   defining Unicode char U+0178 (decimal 376)
+   defining Unicode char U+0179 (decimal 377)
+   defining Unicode char U+017A (decimal 378)
+   defining Unicode char U+017B (decimal 379)
+   defining Unicode char U+017C (decimal 380)
+   defining Unicode char U+017D (decimal 381)
+   defining Unicode char U+017E (decimal 382)
+   defining Unicode char U+200C (decimal 8204)
+   defining Unicode char U+2013 (decimal 8211)
+   defining Unicode char U+2014 (decimal 8212)
+   defining Unicode char U+2018 (decimal 8216)
+   defining Unicode char U+2019 (decimal 8217)
+   defining Unicode char U+201A (decimal 8218)
+   defining Unicode char U+201C (decimal 8220)
+   defining Unicode char U+201D (decimal 8221)
+   defining Unicode char U+201E (decimal 8222)
+   defining Unicode char U+2030 (decimal 8240)
+   defining Unicode char U+2031 (decimal 8241)
+   defining Unicode char U+2039 (decimal 8249)
+   defining Unicode char U+203A (decimal 8250)
+   defining Unicode char U+2423 (decimal 9251)
+)
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+   defining Unicode char U+00A1 (decimal 161)
+   defining Unicode char U+00A3 (decimal 163)
+   defining Unicode char U+00B8 (decimal 184)
+   defining Unicode char U+00BF (decimal 191)
+   defining Unicode char U+00C5 (decimal 197)
+   defining Unicode char U+00C6 (decimal 198)
+   defining Unicode char U+00D8 (decimal 216)
+   defining Unicode char U+00DF (decimal 223)
+   defining Unicode char U+00E6 (decimal 230)
+   defining Unicode char U+00EC (decimal 236)
+   defining Unicode char U+00ED (decimal 237)
+   defining Unicode char U+00EE (decimal 238)
+   defining Unicode char U+00EF (decimal 239)
+   defining Unicode char U+00F8 (decimal 248)
+   defining Unicode char U+0131 (decimal 305)
+   defining Unicode char U+0141 (decimal 321)
+   defining Unicode char U+0142 (decimal 322)
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+   defining Unicode char U+0153 (decimal 339)
+   defining Unicode char U+2013 (decimal 8211)
+   defining Unicode char U+2014 (decimal 8212)
+   defining Unicode char U+2018 (decimal 8216)
+   defining Unicode char U+2019 (decimal 8217)
+   defining Unicode char U+201C (decimal 8220)
+   defining Unicode char U+201D (decimal 8221)
+)
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+   defining Unicode char U+00A7 (decimal 167)
+   defining Unicode char U+00B6 (decimal 182)
+   defining Unicode char U+00B7 (decimal 183)
+   defining Unicode char U+2020 (decimal 8224)
+   defining Unicode char U+2021 (decimal 8225)
+   defining Unicode char U+2022 (decimal 8226)
+)
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+   defining Unicode char U+00A1 (decimal 161)
+   defining Unicode char U+00A2 (decimal 162)
+   defining Unicode char U+00A3 (decimal 163)
+   defining Unicode char U+00A4 (decimal 164)
+   defining Unicode char U+00A5 (decimal 165)
+   defining Unicode char U+00A6 (decimal 166)
+   defining Unicode char U+00A7 (decimal 167)
+   defining Unicode char U+00AA (decimal 170)
+   defining Unicode char U+00AB (decimal 171)
+   defining Unicode char U+00AE (decimal 174)
+   defining Unicode char U+00B0 (decimal 176)
+   defining Unicode char U+00B5 (decimal 181)
+   defining Unicode char U+00B6 (decimal 182)
+   defining Unicode char U+00B7 (decimal 183)
+   defining Unicode char U+00BA (decimal 186)
+   defining Unicode char U+00BB (decimal 187)
+   defining Unicode char U+00BC (decimal 188)
+   defining Unicode char U+00BD (decimal 189)
+   defining Unicode char U+00BE (decimal 190)
+   defining Unicode char U+00BF (decimal 191)
+   defining Unicode char U+00C0 (decimal 192)
+   defining Unicode char U+00C1 (decimal 193)
+   defining Unicode char U+00C2 (decimal 194)
+   defining Unicode char U+00C3 (decimal 195)
+   defining Unicode char U+00C4 (decimal 196)
+   defining Unicode char U+00C5 (decimal 197)
+   defining Unicode char U+00C6 (decimal 198)
+   defining Unicode char U+00C7 (decimal 199)
+   defining Unicode char U+00C8 (decimal 200)
+   defining Unicode char U+00C9 (decimal 201)
+   defining Unicode char U+00CA (decimal 202)
+   defining Unicode char U+00CB (decimal 203)
+   defining Unicode char U+00CC (decimal 204)
+   defining Unicode char U+00CD (decimal 205)
+   defining Unicode char U+00CE (decimal 206)
+   defining Unicode char U+00CF (decimal 207)
+   defining Unicode char U+00D0 (decimal 208)
+   defining Unicode char U+00D1 (decimal 209)
+   defining Unicode char U+00D2 (decimal 210)
+   defining Unicode char U+00D3 (decimal 211)
+   defining Unicode char U+00D4 (decimal 212)
+   defining Unicode char U+00D5 (decimal 213)
+   defining Unicode char U+00D6 (decimal 214)
+   defining Unicode char U+00D8 (decimal 216)
+   defining Unicode char U+00D9 (decimal 217)
+   defining Unicode char U+00DA (decimal 218)
+   defining Unicode char U+00DB (decimal 219)
+   defining Unicode char U+00DC (decimal 220)
+   defining Unicode char U+00DD (decimal 221)
+   defining Unicode char U+00DE (decimal 222)
+   defining Unicode char U+00DF (decimal 223)
+   defining Unicode char U+00E0 (decimal 224)
+   defining Unicode char U+00E1 (decimal 225)
+   defining Unicode char U+00E2 (decimal 226)
+   defining Unicode char U+00E3 (decimal 227)
+   defining Unicode char U+00E4 (decimal 228)
+   defining Unicode char U+00E5 (decimal 229)
+   defining Unicode char U+00E6 (decimal 230)
+   defining Unicode char U+00E7 (decimal 231)
+   defining Unicode char U+00E8 (decimal 232)
+   defining Unicode char U+00E9 (decimal 233)
+   defining Unicode char U+00EA (decimal 234)
+   defining Unicode char U+00EB (decimal 235)
+   defining Unicode char U+00EC (decimal 236)
+   defining Unicode char U+00ED (decimal 237)
+   defining Unicode char U+00EE (decimal 238)
+   defining Unicode char U+00EF (decimal 239)
+   defining Unicode char U+00F0 (decimal 240)
+   defining Unicode char U+00F1 (decimal 241)
+   defining Unicode char U+00F2 (decimal 242)
+   defining Unicode char U+00F3 (decimal 243)
+   defining Unicode char U+00F4 (decimal 244)
+   defining Unicode char U+00F5 (decimal 245)
+   defining Unicode char U+00F6 (decimal 246)
+   defining Unicode char U+00F8 (decimal 248)
+   defining Unicode char U+00F9 (decimal 249)
+   defining Unicode char U+00FA (decimal 250)
+   defining Unicode char U+00FB (decimal 251)
+   defining Unicode char U+00FC (decimal 252)
+   defining Unicode char U+00FD (decimal 253)
+   defining Unicode char U+00FE (decimal 254)
+   defining Unicode char U+00FF (decimal 255)
+   defining Unicode char U+0131 (decimal 305)
+   defining Unicode char U+0141 (decimal 321)
+   defining Unicode char U+0142 (decimal 322)
+   defining Unicode char U+0152 (decimal 338)
+   defining Unicode char U+0153 (decimal 339)
+   defining Unicode char U+0160 (decimal 352)
+   defining Unicode char U+0161 (decimal 353)
+   defining Unicode char U+0178 (decimal 376)
+   defining Unicode char U+017D (decimal 381)
+   defining Unicode char U+017E (decimal 382)
+   defining Unicode char U+0192 (decimal 402)
+   defining Unicode char U+02C6 (decimal 710)
+   defining Unicode char U+02DC (decimal 732)
+   defining Unicode char U+2013 (decimal 8211)
+   defining Unicode char U+2014 (decimal 8212)
+   defining Unicode char U+201C (decimal 8220)
+   defining Unicode char U+201D (decimal 8221)
+   defining Unicode char U+2020 (decimal 8224)
+   defining Unicode char U+2021 (decimal 8225)
+   defining Unicode char U+2022 (decimal 8226)
+   defining Unicode char U+2026 (decimal 8230)
+   defining Unicode char U+2030 (decimal 8240)
+   defining Unicode char U+2039 (decimal 8249)
+   defining Unicode char U+203A (decimal 8250)
+   defining Unicode char U+2122 (decimal 8482)
+)
+   defining Unicode char U+00A9 (decimal 169)
+   defining Unicode char U+00AA (decimal 170)
+   defining Unicode char U+00AE (decimal 174)
+   defining Unicode char U+00BA (decimal 186)
+   defining Unicode char U+02C6 (decimal 710)
+   defining Unicode char U+02DC (decimal 732)
+   defining Unicode char U+200C (decimal 8204)
+   defining Unicode char U+2026 (decimal 8230)
+   defining Unicode char U+2122 (decimal 8482)
+   defining Unicode char U+2423 (decimal 9251)
+))
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+\tf@nav=\write10
+\openout10 = `mchrzasz.nav'.
+
+\tf@toc=\write11
+\openout11 = `mchrzasz.toc'.
+
+\tf@snm=\write12
+\openout12 = `mchrzasz.snm'.
+
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+ (./mchrzasz.aux)
+Package atveryend Info: Empty hook `AtVeryEndDocument' on input line 923.
+Package atveryend Info: Empty hook `AtEndAfterFileList' on input line 923.
+Package logreq Info: Writing requests to 'mchrzasz.run.xml'.
+\openout1 = `mchrzasz.run.xml'.
+
+Package atveryend Info: Empty hook `AtVeryVeryEnd' on input line 923.
+ ) 
+Here is how much of TeX's memory you used:
+ 48093 strings out of 493918
+ 946589 string characters out of 6150563
+ 1280112 words of memory out of 5000000
+ 50367 multiletter control sequences out of 15000+600000
+ 37216 words of font info for 152 fonts, out of 8000000 for 9000
+ 1144 hyphenation exceptions out of 8191
+ 61i,22n,73p,10479b,1501s stack positions out of 5000i,500n,10000p,200000b,80000s
+
+Output written on mchrzasz.pdf (28 pages).
diff --git a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.nav b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.nav
index 0417c4c..2b5d004 100644
--- a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.nav
+++ b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.nav
@@ -1,3 +1,5 @@
+\defcounter {refsection}{0}\relax 
+\beamer@endinputifotherversion {3.24pt}
 \headcommand {\slideentry {0}{0}{1}{1/1}{}{0}}
 \headcommand {\beamer@framepages {1}{1}}
 \headcommand {\slideentry {0}{0}{2}{2/2}{}{0}}
diff --git a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.pdf b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.pdf
index 8f15b4a..f08a2dd 100644
--- a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.pdf
+++ b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.pdf
Binary files differ
diff --git a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.run.xml b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.run.xml
index 8090ad7..3368f59 100644
--- a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.run.xml
+++ b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.run.xml
@@ -41,7 +41,7 @@
   >
 ]>
 <requests version="1.0">
-  <internal package="biblatex" priority="9" active="1">
+  <internal package="biblatex" priority="9" active="0">
     <generic>latex</generic>
     <provides type="dynamic">
       <file>mchrzasz.aux</file>
@@ -51,9 +51,7 @@
       <file>mchrzasz.bbl</file>
     </requires>
     <requires type="static">
-      <file>blx-dm.def</file>
       <file>blx-compat.def</file>
-      <file>blx-bibtex.def</file>
       <file>biblatex.def</file>
       <file>numeric-comp.bbx</file>
       <file>numeric.bbx</file>
@@ -63,7 +61,7 @@
       <file>english.lbx</file>
     </requires>
   </internal>
-  <external package="biblatex" priority="5" active="1">
+  <external package="biblatex" priority="5" active="0">
     <generic>bibtex</generic>
     <cmdline>
       <binary>bibtex</binary>
diff --git a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.tex b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.tex
index 799ebc8..080944e 100644
--- a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.tex
+++ b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.tex
@@ -232,14 +232,14 @@
 
 \end{column}
 \begin{column}{0.53\textwidth}
-\includegraphics[height=1.3cm]{uzh-transp}
+\hspace{0.3\textwidth}\includegraphics[height=1.3cm]{cern}
 \end{column}
 \end{columns}
 
 \vspace{1em}
 %		\footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
 \vspace{0.5em}
-	\textcolor{normal text.fg!50!Comment}{Experimental Methods in Particle Physics, \\ 5 October, 2016}
+	\textcolor{normal text.fg!50!Comment}{Experimental Methods in Particle Physics, \\ 4 October, 2017}
 \end{center}
 \end{frame}
 }
diff --git a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.toc b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.toc
index 67e0355..429917f 100644
--- a/Lectures_my/EMPP/2017/Lecture1/mchrzasz.toc
+++ b/Lectures_my/EMPP/2017/Lecture1/mchrzasz.toc
@@ -1,3 +1,5 @@
 \boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax 
 \defcounter {refsection}{0}\relax 
+\beamer@endinputifotherversion {3.24pt}
+\defcounter {refsection}{0}\relax 
 \select@language {english}
diff --git a/Lectures_my/EMPP/2017/Lecture2/Makefile b/Lectures_my/EMPP/2017/Lecture2/Makefile
new file mode 100644
index 0000000..e4cf8e8
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/Makefile
@@ -0,0 +1,9 @@
+all: mchrzasz.pdf
+
+mchrzasz.pdf: mchrzasz.tex
+	xelatex mchrzasz.tex
+#	bibtex mchrzasz
+	xelatex mchrzasz.tex
+#	xelatex mchrzasz.tex
+clean:
+	rm *.aux *.bbl *.blg *.log *.out *.pdf *.sh *.xml *.snm *.toc *.nav 
diff --git a/Lectures_my/EMPP/2017/Lecture2/beamercolorthemeFlip.sty b/Lectures_my/EMPP/2017/Lecture2/beamercolorthemeFlip.sty
new file mode 100755
index 0000000..d6b9c50
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/beamercolorthemeFlip.sty
@@ -0,0 +1,179 @@
+% Color style file for the BEAMER FLIP THEME
+% Copyright 2012 by Flip Tanedo
+% This file may be distributed and/or modified
+% 	1. under the LaTeX Project Public License and/or
+% 	2. under the GNU Public License.
+
+
+
+\mode<presentation>
+\newif\ifbeamer@Flip@dark
+\beamer@Flip@darkfalse
+\DeclareOptionBeamer{dark}{\beamer@Flip@darktrue}
+\ProcessOptionsBeamer
+
+
+% These are a few colors that I like.
+
+\definecolor{crimsonred}{RGB}{153,0,0}		% Neurtal red, good for dark or light bg
+\definecolor{darkcharcoal}{RGB}{25,25,25}		% Darker gray
+\definecolor{charcoal}{RGB}{51,51,51}		% Darker gray
+\definecolor{ash}{RGB}{100,100,100}			% medium gray
+\definecolor{paleblue}{RGB}{0,102,102}		% More of an `ocean' color
+\definecolor{turtlegreen}{RGB}{51,153,0}	% A more neutral green
+\definecolor{paleale}{RGB}{204,204,102}		% Only for dark BG
+\definecolor{lager}{RGB}{140,110,10}		% Use instead of pale ale for white BG
+\definecolor{regal}{RGB}{90,0,120}			% A more neutral purple
+\definecolor{jeans}{RGB}{20,30,150}			% A more neutral blue
+
+
+% Define some "invariant colors" so that a color that doen't work with a
+% light/dark background will automatically be substituted with one that does.
+% These will be rewritten in beamercolorthemeFlipDark
+
+\ifbeamer@Flip@dark
+	\definecolor{FlipSand}{RGB}{204,204,102}		% paleale, Only for dark BG
+	\definecolor{FlipGreen}{RGB}{0,255,0}			% Neon-like green, only for dark BG
+\else
+	\definecolor{FlipSand}{RGB}{140,110,10}			% lager, Only for light BG
+	\definecolor{FlipGreen}{RGB}{51,153,0}			% turtlegreen, works for both
+\fi
+
+%% Future revision: It would be nice to define these in terms of the palette.
+
+
+\ifbeamer@Flip@dark
+	\setbeamercolor{normal text}{fg=white, bg=black}		
+	\setbeamercolor{structure}{fg=gray, bg=black}		% fg controls bullets
+	\setbeamercolor*{footerlike}{fg=white,bg=black}		% Controls the footerline
+\else
+	% Default to black on white
+	\setbeamercolor*{footerlike}{fg=white,bg=charcoal}	% for charcoal footer
+	\setbeamercolor{structure}{fg=charcoal, bg=white}	% fg controls bullets
+	% \setbeamercolor{normal text}{fg=white, bg=black}	
+\fi
+
+
+
+
+
+% These defined colors can be used in \textcolor{colorname}{text in that color}.
+
+% Colors for Keynote background: DARK
+\definecolor{keynotebottom}{rgb}{0.32,0.3,0.38}
+\definecolor{keynotemiddle}{rgb}{0.08,0.08,0.16}
+\definecolor{keynotetop}{rgb}{0,0,0}
+%%% Example of usage:
+%% \setbeamertemplate{background canvas}[vertical shading]
+%% [bottom=keynotebottom, middle=keynotemiddle, top=keynotetop]
+
+
+
+
+% ALERT AND COMMENT COLORS (just copies of the above colors)
+% (I don't know how ot do this more elegantly)
+\ifbeamer@Flip@dark
+	\definecolor{ALERT}{RGB}{153,0,0}			% crimsonred
+	\definecolor{Alert}{RGB}{51,153,0}			% turtlegreen
+	\definecolor{alert}{RGB}{204,204,102}		% paleale		
+	\definecolor{charcoal}{RGB}{51,51,51}		% charcoal
+	\definecolor{comment}{RGB}{80,80,80}		% light charcoal
+	\definecolor{Comment}{RGB}{100,100,100}		% ash
+	\definecolor{COMMENT}{RGB}{80,20,120}		% regal
+\else
+%	\definecolor{ALERT}{RGB}{153,0,0}			% crimsonred
+	\definecolor{ALERT}{RGB}{28,134,238}		% DodgerBlue2
+%	\definecolor{Alert}{RGB}{51,153,0}			% turtlegreen
+	\definecolor{Alert}{RGB}{255,127,36}		% chocolate1
+%	\definecolor{alert}{RGB}{140,110,10}		% lager
+	\definecolor{alert}{RGB}{0,205,102} 		% SpringGreen3
+	\definecolor{charcoal}{RGB}{80,80,80}		% light charcoal
+	\definecolor{comment}{RGB}{51,51,51}		% charcoal
+	\definecolor{Comment}{RGB}{100,100,100}		% ash
+	\definecolor{COMMENT}{RGB}{80,20,120}		% regal
+\fi
+
+
+% \definecolor{crimsonred}{RGB}{153,0,0}		% Neurtal red, good for dark or light bg
+% \definecolor{charcoal}{RGB}{51,51,51}		% Darker gray
+% \definecolor{ash}{RGB}{100,100,100}			% medium gray
+% \definecolor{paleblue}{RGB}{0,102,102}		% More of an `ocean' color
+% \definecolor{turtlegreen}{RGB}{51,153,0}	% A more neutral green
+% \definecolor{paleale}{RGB}{204,204,102}		% Only for dark BG
+% \definecolor{lager}{RGB}{140,110,10}		% Use instead of pale ale for white BG
+% \definecolor{regal}{RGB}{90,0,120}			% A more neutral purple
+% \definecolor{jeans}{RGB}{20,30,150}			% A more neutral blue
+
+
+% A few useful colors
+\setbeamercolor{alerted text}{fg=alert}
+
+%% I would like ot use these colors, but there seems to be a bug in Beamer
+%% where the footnote color infects the normal text color
+%% See:  http://tex.stackexchange.com/questions/8264/beamer-changing-the-footnote-color-also-changes-the-normal-text-color/8268#8268
+
+% \setbeamercolor{footnote}{parent=normal text, fg=FlipSand}
+% \setbeamercolor{footnote mark}{parent=normal text, fg=FlipSand}
+
+% Blocks
+\setbeamercolor{block title}{fg=gray!30!white,bg=charcoal}
+\setbeamercolor{block body}{parent=normal text,bg=gray, fg=white}
+
+\setbeamercolor{block title example}{fg=turtlegreen!30!white,bg=turtlegreen!40!black}
+\setbeamercolor{block body example}{parent=normal text,bg=turtlegreen, fg=white}
+% 
+\setbeamercolor{block title alerted}{fg=crimsonred!30!white,bg=crimsonred!40!black}
+\setbeamercolor{block body alerted}{parent=normal text,bg=crimsonred, fg=white}
+
+
+
+% These "setbeamercolor" commands are more standardized. 
+
+
+%% From the Beamer User Guide:
+% Outer themes base the color of navigational elements and, possibly, also of other elements, on the 
+% four palette colors. The “primary” palette should be used for the most important navigational elements, 
+% which are usually the ones that change most often and hence require the most attention by the audience. 
+% The “secondary” and “tertiary” are less important, the “quaternary” one is least important. 
+% By default, the palette colors do not have a background and the foreground ranges from structure.fg to black. 
+% For the sidebar, there is an extra set of palette colors, see palette sidebar primary.
+
+\setbeamercolor*{palette primary}{fg=crimsonred,bg=charcoal}
+\setbeamercolor*{palette secondary}{fg=paleale,bg=lager}
+\setbeamercolor*{palette tertiary}{fg=turtlegreen,bg=jeans}
+\setbeamercolor*{palette quaternary}{fg=paleblue,bg=regal}
+
+% \setbeamercolor*{palette primary}{fg=crimsonred,bg=white}
+% \setbeamercolor*{palette secondary}{fg=charcoal,bg=white}
+% \setbeamercolor*{palette tertiary}{fg=paleblue,bg=white}
+% \setbeamercolor*{palette quaternary}{fg=turtlegreen,bg=white}
+
+
+
+%% These are some structures that I define for use in the outer theme.
+
+\setbeamercolor*{crimsontown}{fg=paleblue,bg=crimsonred}
+\setbeamercolor*{bluetown}{fg=white,bg=DodgerBlue2}
+%\setbeamercolor*{titlelike}{fg=crimsonred}
+\setbeamercolor*{titlelike}{fg=DodgerBlue2}
+\setbeamercolor*{topbarlike}{fg=white, bg=charcoal}
+
+
+
+
+
+%% Some old definitions that I might want to get back to
+%
+% \setbeamercolor*{frametitle}{bg=white,fg=charcoal}
+% \setbeamercolor*{part title}{bg=white,fg=charcoal}
+% \setbeamercolor*{item}{fg=charcoal, bg=white}
+% 
+% \setbeamercolor*{separation line}{}
+% \setbeamercolor*{fine separation line}{}
+
+
+
+
+
+\mode
+<all>
diff --git a/Lectures_my/EMPP/2017/Lecture2/beamerinnerthemeFlip.sty b/Lectures_my/EMPP/2017/Lecture2/beamerinnerthemeFlip.sty
new file mode 100755
index 0000000..9910f4d
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/beamerinnerthemeFlip.sty
@@ -0,0 +1,95 @@
+% Inner style file for the BEAMER FLIP THEME
+% Copyright 2010 by Flip Tanedo
+% This file may be distributed and/or modified
+% 	1. under the LaTeX Project Public License and/or
+% 	2. under the GNU Public License.
+%
+% Based on: beamerinnerthemeFlip by Marco Barisione
+
+\mode<presentation>
+
+% % Use alternative title page style.
+% \DeclareOptionBeamer{alternativetitlepage}[true]{\def\beamer@Flip@alternativetitlepage{#1}}
+
+% Logo to use in the alternative title page.
+% \def\beamer@Flip@titlepagelogo{}
+% \DeclareOptionBeamer{titlepagelogo}{\def\beamer@Flip@titlepagelogo{#1}}
+
+% Bullet shape.
+\DeclareOptionBeamer{bullet}{\def\beamer@Flip@bullet{#1}}
+\DeclareOptionBeamer{shadow}[true]{\def\beamer@themerounded@shadow{#1}}
+\ExecuteOptionsBeamer{shadow=false}
+
+
+% \ExecuteOptionsBeamer{alternativetitlepage=false,bullet=square}
+\ProcessOptionsBeamer
+
+
+
+% Margins.
+\newlength{\beamer@Flip@normalmargin}
+\setlength{\beamer@Flip@normalmargin}{.06\paperwidth}
+\setbeamersize{text margin left=\beamer@Flip@normalmargin}
+\setbeamersize{text margin right=\beamer@Flip@normalmargin}
+\setlength\leftmargini{.6\beamer@Flip@normalmargin}
+\setlength\leftmarginii{.6\beamer@Flip@normalmargin}
+\setlength\leftmarginiii{.6\beamer@Flip@normalmargin}
+
+% Normal title page.
+\defbeamertemplate*{title page normal}{Flip theme}[1][]
+{
+  \vbox{}
+  \vfill
+  \begin{centering}
+    \begin{beamercolorbox}[wd=\paperwidth,sep=8pt,center,#1]{title page header}
+      \usebeamerfont{title}\inserttitle\par%
+      \ifx\insertsubtitle\@empty%
+      \else%
+        \vskip0.25em%
+        {\usebeamerfont{subtitle}\usebeamercolor[fg]{subtitle}\insertsubtitle\par}%
+      \fi%     
+    \end{beamercolorbox}%
+    \vskip1em\par
+    \begin{beamercolorbox}[sep=8pt,center,#1]{author}
+      \usebeamerfont{author}\insertauthor
+    \end{beamercolorbox}
+    \begin{beamercolorbox}[sep=8pt,center,#1]{institute}
+      \usebeamerfont{institute}\insertinstitute
+    \end{beamercolorbox}
+    \begin{beamercolorbox}[sep=8pt,center,#1]{date}
+      \usebeamerfont{date}\insertdate
+    \end{beamercolorbox}\vskip0.5em
+    {\usebeamercolor[fg]{titlegraphic}\inserttitlegraphic\par}
+  \end{centering}
+  \vfill
+}
+
+
+% Items.
+\defbeamertemplate{itemize item}{squarealt}%
+{\tiny\raise.5ex\hbox{\donotcoloroutermaths$\blacksquare$}}
+\defbeamertemplate{itemize subitem}{squarealt}%
+{\tiny\raise.4ex\hbox{\donotcoloroutermaths$\square$}}
+\defbeamertemplate{itemize subsubitem}{squarealt}%
+{\tiny\raise.3ex\hbox{\donotcoloroutermaths$\blacksquare$}}
+% 
+\defbeamertemplate{itemize item}{circlealt}%
+{\small\raise.2ex\hbox{\donotcoloroutermaths$\bullet$}}
+\defbeamertemplate{itemize subitem}{circlealt}%
+{\small\raise.1ex\hbox{\donotcoloroutermaths$\circ$}}
+\defbeamertemplate{itemize subsubitem}{circlealt}%
+{\scriptsize\raise.1ex\hbox{\donotcoloroutermaths$\bullet$}}
+\setbeamertemplate{items}[circlealt]
+% 
+\def\circletext{circle}
+\ifx\beamer@Flip@bullet\circletext
+  \setbeamertemplate{items}[circlealt]
+\else
+  \setbeamertemplate{items}[squarealt]
+\fi
+
+\setbeamertemplate{blocks}[rounded][shadow=\beamer@themerounded@shadow]
+
+
+\mode<all>
+
diff --git a/Lectures_my/EMPP/2017/Lecture2/beamerouterthemeFlip.sty b/Lectures_my/EMPP/2017/Lecture2/beamerouterthemeFlip.sty
new file mode 100755
index 0000000..d12f6d6
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/beamerouterthemeFlip.sty
@@ -0,0 +1,189 @@
+% Outer style file for the BEAMER FLIP THEME 212
+% Copyright 2012 by Flip Tanedo
+% This file may be distributed and/or modified
+% 	1. under the LaTeX Project Public License and/or
+% 	2. under the GNU Public License.
+%
+% Based on: beamerouterthemesplit by Till Tantau
+
+
+\mode<presentation>
+
+% Watermark
+\DeclareOptionBeamer{watermark}{\def\beamer@Flip@watermark{#1}}
+\ExecuteOptionsBeamer{watermark=} % Default value is empty
+
+
+\newif\ifbeamer@Flip@bigpagenumber
+\beamer@Flip@bigpagenumberfalse
+\DeclareOptionBeamer{bigpagenumber}{\beamer@Flip@bigpagenumbertrue}
+
+
+\def\beamer@Flip@truetext{true} % Kludge for true/false so I can use ifx
+
+\DeclareOptionBeamer{topline}[true]{\def\beamer@Flip@topline{#1}}
+\ExecuteOptionsBeamer{topline=false} % Default
+
+
+
+% \ExecuteOptionsBeamer{topline=} % Default value is empty
+
+
+\ProcessOptionsBeamer
+
+
+\usepackage{tikz}	% For fancy decorations
+
+
+% I should fix these up to be more robust against color changes
+\setbeamercolor{section in head/foot}{parent=footerlike}
+\setbeamercolor{subsection in head/foot}{parent=footerlike}
+\setbeamercolor{author in head/foot}{parent=footerlike}
+\setbeamercolor{title in head/foot}{parent=footerlike}
+
+
+% \setbeamercolor{author in head/foot}{parent=section in head/foot}
+% \setbeamercolor{title in head/foot}{parent=subsection in head/foot}
+
+%\setbeamercolor{topbar}{parent=crimsontown}
+\setbeamercolor{topbar}{parent=bluetown}
+
+
+
+
+\usesectionheadtemplate
+  {\hfill\insertsectionhead}
+  {\hfill\color{fg!50!bg}\insertsectionhead}
+
+
+%%%%%%%%%%%%%%%%%%
+% The footer bar %
+%%%%%%%%%%%%%%%%%%
+
+\defbeamertemplate*{footline}{Flip theme}
+{%
+  \leavevmode% 
+% OBSERVATION: the "%" symbols inside hbox are all very important here.
+% The \hbox enviroment will insert spaces whenever there's whitespace
+% Adding a % at the END of each line ensures that any hard returns aren't
+% interpreted as white space. This allows the color boxes to be flush against
+% one another. If a faint white line appears one could probably do something like
+% hspace{-1px} and add an additional pixel-or-two wide beamercolorbox.	
+
+\hbox{%
+\begin{beamercolorbox}[wd=.4\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm, rightskip=.3cm plus1fil]{author in head/foot}%
+	\usebeamerfont{author in head/foot}\insertshortauthor  \end{beamercolorbox}%
+%
+\begin{beamercolorbox}[wd=.6\paperwidth,ht=2.5ex,dp=1.125ex,leftskip=.3cm,rightskip=.3cm plus1fil]{title in head/foot}%
+    \usebeamerfont{title in head/foot}{\textit \insertshorttitle}%
+    \hskip2ex plus1fill%
+		% \insertpagenumber\,/\,\insertpresentationendpage %% Want FRAME, not SLIDE number
+		\insertframenumber/\inserttotalframenumber
+ \end{beamercolorbox}%
+}%
+
+% This is a complete kludge for the faint white line which appears
+% between the beamer color boxes above. (It doesnt appear in presentation mode
+% but sometimes looks funny when the pdfs are viewed in a window)
+\begin{tikzpicture}[overlay]
+	\usebeamercolor[bg]{author in head/foot}
+	\draw[thick] (0,3.625ex) -- (\paperwidth,3.625ex);
+	\draw (.4\paperwidth,0) -- (.4\paperwidth,3.625ex);
+	\draw[thick] (0,0) -- (\paperwidth,0);
+\end{tikzpicture}
+
+
+
+\ifbeamer@Flip@bigpagenumber
+	\begin{tikzpicture}[overlay]
+	\usebeamercolor[bg]{author in head/foot}
+	\draw[fill] (\paperwidth-5ex,3.625ex) circle (6ex);
+	\usebeamercolor[fg]{author in head/foot}
+	\draw[fill] (\paperwidth-5ex,3.625ex) circle (5ex);
+	\usebeamercolor[bg]{author in head/foot}
+	\node at (\paperwidth-5ex,4ex) {\small$^\text{\insertframenumber}/_\text{\inserttotalframenumber}$};
+	\end{tikzpicture}
+\fi
+}
+
+
+
+\defbeamertemplate*{frametitle}{Flip theme}[1][left]
+{
+% \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}%
+\@tempdima=\textwidth%
+\advance\@tempdima by\beamer@leftmargin%
+\advance\@tempdima by\beamer@rightmargin%
+
+\vbox{}\vskip-3.5ex%
+%
+\begin{beamercolorbox}[sep=0.3cm,#1,wd=\the\@tempdima]{titlelike}
+	\usebeamerfont{frametitle}%
+	\vbox{}\vskip-1ex%
+	\if@tempswa\else\csname beamer@fte#1\endcsname\fi%
+	% \strut{\bf\insertframetitle}\strut\par% 					%% Include the \bf
+	\strut{\insertframetitle}\strut\par%
+	{%
+  		\ifx\insertframesubtitle\@empty%
+  		\else
+			{\usebeamerfont{framesubtitle}
+			 \usebeamercolor[fg]{framesubtitle}
+			\insertframesubtitle\strut\par}%
+  		\fi
+ 	}%
+	%
+  	\vskip-1ex%
+  	\if@tempswa\else\vskip-.3cm\fi% set inside beamercolorbox... evil here...
+\end{beamercolorbox}%
+%%
+
+% \def\beamer@fteright{\vskip0.35cm\advance\leftskip by 1.7cm\advance\rightskip by1.7cm}
+}
+
+
+
+
+% Sidebar right is important: anything placed here will be
+% visible *behind* the main text. This is where to put any
+% interesting watermarks.
+%
+% 
+\defbeamertemplate*{sidebar right}{Flip theme}
+{
+% \llap{\includegraphics[width=50px]{footdecoration}}
+% \llap{\includegraphics[width=\paperwidth,height=\paperheight]{upperleft_watermark_transp}}
+%
+% THIS WOULD BE A NICE WAY TO PUT THE PARTICLE BUBBLE CHAMBER BG
+% ... make a png of the background with TRANSPARENT BG
+% ... then put the image here (use \hfill to get it on the left)
+% Now one can FURTHER apply a slight gradient in the BG
+%
+% 
+% % Top Line 
+\ifx\beamer@Flip@topline\beamer@Flip@truetext
+	\begin{tikzpicture}[overlay]
+	\usebeamercolor[fg]{titlelike}	% alternately, topbarlike would be a good beamercolor
+%	\usebeamercolor[fg]{topbarlike}	% alternately, topbarlike would be a good beamercolor
+	\draw[fill] (-\paperwidth,0) rectangle (0,-3pt);
+	\end{tikzpicture}
+\fi
+%
+% 
+  \vskip.2\beamer@leftmargin%
+   %\llap{\insertlogo\hskip.5\beamer@leftmargin}%
+   \llap{\insertlogo\hskip.08\beamer@leftmargin}%
+    \vfill%
+  \if \beamer@Flip@watermark\@empty
+	% This is kind of a kludge since if I put anything in here, I automatically get errors
+	% Somehow LaTeX wants to read the \else part!
+	\else%
+	\llap{\includegraphics[width=\paperwidth,height=\paperheight]{\beamer@Flip@watermark}}
+  \fi
+}
+
+
+
+\mode<all>
+\endinput
+
+
diff --git a/Lectures_my/EMPP/2017/Lecture2/beamerouterthemedecolines.sty b/Lectures_my/EMPP/2017/Lecture2/beamerouterthemedecolines.sty
new file mode 100755
index 0000000..669e493
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/beamerouterthemedecolines.sty
@@ -0,0 +1,168 @@
+% Copyright 2007 by Marco Barisione
+%
+% This file may be distributed and/or modified
+%
+% 1. under the LaTeX Project Public License and/or
+% 2. under the GNU Public License.
+
+\mode<presentation>
+
+% String used between the current page and the total page count.
+\def\beamer@decolines@pageofpages{/}
+\DeclareOptionBeamer{pageofpages}{\def\beamer@decolines@pageofpages{#1}}
+
+% Show a line below the frame title.
+\DeclareOptionBeamer{titleline}[true]{\def\beamer@decolines@titleline{#1}}
+
+% Image used for the watermark.
+\def\beamer@decolines@watermarkorig{}
+\DeclareOptionBeamer{watermark}{\def\beamer@decolines@watermarkorig{#1}}
+
+% Height of the watermark.
+\def\beamer@decolines@watermarkheight{100px}
+\DeclareOptionBeamer{watermarkheight}{\def\beamer@decolines@watermarkheight{#1}}
+
+% The original image height is watermarkheightmult * watermarkheight.
+\def\beamer@decolines@watermarkheightmult{1}
+\DeclareOptionBeamer{watermarkheightmult}{\def\beamer@decolines@watermarkheightmult{#1}}
+
+\ExecuteOptionsBeamer{titleline=false}
+\ProcessOptionsBeamer
+
+% Enable/disable the watermark.
+\def\watermarkon{%
+  \def\beamer@decolines@watermark{\beamer@decolines@watermarkorig}%
+}
+\def\watermarkoff{\def\beamer@decolines@watermark{}}
+
+% Initially enable the watermark.
+\watermarkon
+
+% Colors.
+\setbeamercolor*{lineup}{parent=palette primary}
+\setbeamercolor*{linemid}{parent=palette secondary}
+\setbeamercolor*{linebottom}{parent=palette tertiary}
+\setbeamercolor*{page header}{parent=titlelike}
+
+% Lengths
+\newlength{\headerheight}
+\setlength{\headerheight}{.045\paperheight}
+\newlength{\beamer@decolines@lineup}
+\setlength{\beamer@decolines@lineup}{.025\paperheight}
+\newlength{\beamer@decolines@linemid}
+\setlength{\beamer@decolines@linemid}{.015\paperheight}
+\newlength{\beamer@decolines@linebottom}
+\setlength{\beamer@decolines@linebottom}{.01\paperheight}
+
+% The height of the watermark part below the 3 bottom lines.
+\newlength{\beamer@decolines@watermarkheightbottom}
+\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@lineup}
+\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linemid}
+\addtolength{\beamer@decolines@watermarkheightbottom}{\beamer@decolines@linebottom}
+
+% The height of the watermark part over the 3 bottom lines before shrinking.
+\newlength{\beamer@decolines@watermarkheightupperorig}
+\setlength{\beamer@decolines@watermarkheightupperorig}{\beamer@decolines@watermarkheight}
+\addtolength{\beamer@decolines@watermarkheightupperorig}{-\beamer@decolines@watermarkheightbottom}
+\multiply\beamer@decolines@watermarkheightupperorig by \beamer@decolines@watermarkheightmult
+
+% % Footer.
+% \defbeamertemplate*{footline}{decolines theme}
+% {
+%   \leavevmode%
+%   % Page number.
+%   \hbox{%
+%   \begin{beamercolorbox}[wd=.2\paperwidth,ht=0ex,dp=0ex,center]{}%
+%     \usebeamerfont{palette primary}\insertframenumber{} \beamer@decolines@pageofpages{} \inserttotalframenumber%
+%   \end{beamercolorbox}%
+%   \begin{beamercolorbox}[wd=.8\paperwidth,ht=0ex,dp=0ex]{}%
+%   \end{beamercolorbox}%
+%   } %
+%   % First line.
+%   \hbox{%
+%   \begin{beamercolorbox}[wd=.2\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{}%
+%   \end{beamercolorbox}%
+%   \begin{beamercolorbox}[wd=.8\paperwidth,ht=\beamer@decolines@lineup,dp=0pt]{lineup}%
+%   \end{beamercolorbox}%
+%   } %
+%   % Second line.
+%   \hbox{%
+%   \begin{beamercolorbox}[wd=\paperwidth,ht=\beamer@decolines@linemid,dp=0pt]{linemid}%
+%   \end{beamercolorbox}%
+%   } %
+%   % Third line.
+%   \hbox{%
+%   \begin{beamercolorbox}[wd=.1\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{}%
+%   \end{beamercolorbox}%
+%   \begin{beamercolorbox}[wd=.9\paperwidth,ht=\beamer@decolines@linebottom,dp=0pt]{linebottom}%
+%   \end{beamercolorbox}%
+%   }%
+%   % This seems to fix some alignment problems with the watermark. It has to be
+%   % always applied if you do not want to see the footer moving up and down when
+%   % moving from a page with watermark to a page without or vice versa.
+%   \vskip-.5px%
+%   % Watermark.
+%   \if\beamer@decolines@watermark\@empty\else%
+%     \vskip-\beamer@decolines@watermarkheightbottom%
+%     \llap{\includegraphics[height=\beamer@decolines@watermarkheightbottom,clip=true,%
+%       trim=0pt 0pt 0pt \beamer@decolines@watermarkheightupperorig]{\beamer@decolines@watermark}\hskip-\paperwidth}%
+%   \fi%
+% }
+
+\defbeamertemplate*{headline}{decolines theme}
+{
+  \leavevmode%
+  \hbox{%
+  \begin{beamercolorbox}[wd=\paperwidth,ht=\headerheight,dp=0pt]{page header}%
+  \end{beamercolorbox}%
+  } %
+  \vskip0pt%
+}
+
+\defbeamertemplate*{frametitle}{decolines theme}[1][left]
+{
+  \ifbeamercolorempty[bg]{frametitle}{}{\nointerlineskip}%
+  \@tempdima=\textwidth%
+  \advance\@tempdima by\beamer@leftmargin%
+  \advance\@tempdima by\beamer@rightmargin%
+  \vbox{}\vskip-.5\beamer@leftmargin%
+  \begin{beamercolorbox}[sep=\beamer@leftmargin,#1,wd=\the\@tempdima]{}
+    \usebeamerfont{frametitle}\usebeamercolor[bg]{framesubtitle}%
+    \vbox{}\vskip0ex%
+    \if@tempswa\else\csname beamer@fte#1\endcsname\fi%
+    \strut\insertframetitle\strut\par%
+    {%
+      \ifx\insertframesubtitle\@empty%
+      \else%
+      {\usebeamerfont{framesubtitle}\usebeamercolor[bg]{framesubtitle}\insertframesubtitle\strut\par}%
+      \fi
+    }%
+    \vskip-1ex%
+    \if@tempswa\else\vskip-\beamer@leftmargin\fi
+  \end{beamercolorbox}%
+  \def\beamer@decolines@truetext{true}%
+  \ifx\beamer@decolines@titleline\beamer@decolines@truetext%
+    \vskip-.5\beamer@leftmargin%
+    \begin{beamercolorbox}[wd=\textwidth,ht=.1ex,dp=0ex]{linemid}%
+    \end{beamercolorbox}%
+  \fi
+}
+
+% Frame title continuations, default
+\defbeamertemplate*{frametitle continuation}{decolines theme}{(\insertcontinuationcount)}
+
+
+
+\defbeamertemplate*{sidebar right}{decolines theme}
+{
+  \vskip.1\beamer@leftmargin%
+  \llap{\insertlogo\hskip.5\beamer@leftmargin}%
+  \vfill%
+  \if\beamer@decolines@watermark\@empty\else%
+  \llap{\includegraphics[height=\beamer@decolines@watermarkheight]{\beamer@decolines@watermark}}%
+  \vskip-\beamer@decolines@watermarkheightbottom%
+  \fi
+}
+
+\mode
+<all>
diff --git a/Lectures_my/EMPP/2017/Lecture2/beamerthemeFlip.sty b/Lectures_my/EMPP/2017/Lecture2/beamerthemeFlip.sty
new file mode 100755
index 0000000..a615ff5
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/beamerthemeFlip.sty
@@ -0,0 +1,59 @@
+% Main style file for the BEAMER FLIP THEME 2012
+% Copyright 2012 by Flip Tanedo
+% This file may be distributed and/or modified
+% 	1. under the LaTeX Project Public License and/or
+% 	2. under the GNU Public License.
+%
+% Comments: This is still a work in progress.
+% A good way to present: http://www.cs.hmc.edu/~oneill/freesoftware/pdftokeynote.html
+
+% \usepackage{beamerthemesplit}
+\mode<presentation>
+
+
+%% These are the options that are fed in through the driver file
+%% Some of them get passed on to the other theme files
+\DeclareOptionBeamer{bullet}{\PassOptionsToPackage{bullet=#1}{beamerinnerthemeFlip}}
+\DeclareOptionBeamer{bigpagenumber}{\PassOptionsToPackage{bigpagenumber}{beamerouterthemeFlip}}
+\DeclareOptionBeamer{topline}[true]{\PassOptionsToPackage{topline=#1}{beamerouterthemeFlip}}
+\DeclareOptionBeamer{shadow}[false]{\PassOptionsToPackage{shadow=#1}{beamerinnerthemeFlip}}
+
+\DeclareOptionBeamer{watermark}{\PassOptionsToPackage{watermark=#1}{beamerouterthemeFlip}}
+
+\ProcessOptionsBeamer
+
+\useinnertheme{Flip}	% Calls beamerinnerthemeFlip.sty
+\useoutertheme{Flip}	% Calls beamerouterthemeFlip.sty
+\usecolortheme{Flip}	% Calls beamercolorthemeFlip.sty
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%
+% Background  Gradient %
+%%%%%%%%%%%%%%%%%%%%%%%%
+
+
+%% Usually I would leave this on
+%% However, there seems to be problems with XeLaTeX
+%% http://tex.stackexchange.com/questions/29497/xelatex-preventing-beamer-from-using-different-backgrounds
+\setbeamertemplate{background canvas}[vertical shading][bottom=blue!.1, middle=white, top=white]
+
+%% HOWEVER: it seems to make it impossible to change this later on in the document
+
+
+%% For a dark background: 
+% \setbeamertemplate{background canvas}[vertical shading][bottom=keynotebottom, middle=keynotemiddle, top=keynotetop]
+
+
+%% An alternate way: \beamertemplateshadingbackground{blue!.1}{red!2}
+%% In general: you want the gradient to be subtle!
+
+
+%%%%%%%%%%%%%%%%%%%%%%%
+% Navigation  symbols %
+%%%%%%%%%%%%%%%%%%%%%%%
+
+\setbeamertemplate{navigation symbols}{} 	% Turns off PDF navigation symbols
+
+\mode<all>
+\endinput
\ No newline at end of file
diff --git a/Lectures_my/EMPP/2017/Lecture2/images/BG_lower.png b/Lectures_my/EMPP/2017/Lecture2/images/BG_lower.png
new file mode 100755
index 0000000..073034a
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/images/BG_lower.png
Binary files differ
diff --git a/Lectures_my/EMPP/2017/Lecture2/images/Focal_stability.png b/Lectures_my/EMPP/2017/Lecture2/images/Focal_stability.png
new file mode 100644
index 0000000..d0a2597
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/images/Focal_stability.png
Binary files differ
diff --git a/Lectures_my/EMPP/2017/Lecture2/images/Higs_Ellis_SM.png b/Lectures_my/EMPP/2017/Lecture2/images/Higs_Ellis_SM.png
new file mode 100644
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diff --git a/Lectures_my/EMPP/2017/Lecture2/mchrzasz.pdf b/Lectures_my/EMPP/2017/Lecture2/mchrzasz.pdf
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+      <file>mchrzasz-blx.bib</file>
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+    <requires type="dynamic">
+      <file>mchrzasz.bbl</file>
+    </requires>
+    <requires type="static">
+      <file>blx-compat.def</file>
+      <file>biblatex.def</file>
+      <file>numeric-comp.bbx</file>
+      <file>numeric.bbx</file>
+      <file>standard.bbx</file>
+      <file>numeric-comp.cbx</file>
+      <file>biblatex.cfg</file>
+      <file>english.lbx</file>
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+    <generic>bibtex</generic>
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+++ b/Lectures_my/EMPP/2017/Lecture2/mchrzasz.tex
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+\documentclass[11 pt,xcolor={dvipsnames,svgnames,x11names,table}]{beamer}
+
+\usepackage[english]{babel} 
+\usepackage{polski}         
+\usepackage[skins,theorems]{tcolorbox}
+\tcbset{highlight math style={enhanced,
+  colframe=red,colback=white,arc=0pt,boxrule=1pt}}
+
+\usetheme[
+	bullet=circle,		% Other option: square
+	bigpagenumber,		% circled page number on lower right
+	topline=true,			% colored bar at the top of the frame 
+	shadow=false,			% Shading for beamer blocks
+	watermark=BG_lower,	% png file for the watermark
+	]{Flip}
+
+%\logo{\kern+1.em\includegraphics[height=1cm]{SHiP-3_LightCharcoal}}
+                            
+
+\usepackage[lf]{berenis}
+\usepackage[LY1]{fontenc}
+\usepackage[utf8]{inputenc}
+
+\usepackage{emerald}
+\usefonttheme{professionalfonts}
+\usepackage[no-math]{fontspec}	
+\usepackage{listings}
+\defaultfontfeatures{Mapping=tex-text}	% This seems to be important for mapping glyphs properly
+
+\setmainfont{Gillius ADF}			% Beamer ignores "main font" in favor of sans font
+\setsansfont{Gillius ADF}			% This is the font that beamer will use by default
+% \setmainfont{Gill Sans Light}		% Prettier, but harder to read
+
+\setbeamerfont{title}{family=\fontspec{Gillius ADF}}
+
+\input t1augie.fd
+
+%\newcommand{\handwriting}{\fontspec{augie}} % From Emerald City, free font
+%\newcommand{\handwriting}{\usefont{T1}{fau}{m}{n}} % From Emerald City, free font
+% \newcommand{\handwriting}{}	% If you prefer no special handwriting font or don't have augie
+
+%% Gill Sans doesn't look very nice when boldfaced
+%% This is a hack to use Helvetica instead
+%% Usage: \textbf{\forbold some stuff}
+%\newcommand{\forbold}{\fontspec{Arial}}
+
+\usepackage{graphicx}
+\usepackage[export]{adjustbox}
+\usepackage{amsmath, amssymb} 
+
+\usepackage{amsmath}
+\usepackage{amsfonts}
+\usepackage{amssymb}
+\usepackage{bm}
+\usepackage{colortbl}
+\usepackage{mathrsfs} 			% For Weinberg-esque letters
+\usepackage{cancel}				% For "SUSY-breaking" symbol
+\usepackage{slashed}            % for slashed characters in math mode
+\usepackage{bbm}                % for \mathbbm{1} (unit matrix)
+\usepackage{amsthm}				% For theorem environment
+\usepackage{multirow}			% For multi row cells in table
+\usepackage{arydshln} 			% For dashed lines in arrays and tables
+\usepackage{siunitx}
+\usepackage{xhfill}
+\usepackage{grffile}
+\usepackage{textpos}
+\usepackage{subfigure}
+\usepackage{tikz}
+\usepackage{hyperref}
+%\usepackage{hepparticles}    
+\usepackage[italic]{hepparticles}     
+
+\usepackage{hepnicenames} 
+
+% Drawing a line
+\tikzstyle{lw} = [line width=20pt]
+\newcommand{\topline}{%
+  \tikz[remember picture,overlay] {%
+    \draw[crimsonred] ([yshift=-23.5pt]current page.north west)
+             -- ([yshift=-23.5pt,xshift=\paperwidth]current page.north west);}}
+
+
+
+% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
+\usepackage{tikzfeynman}		% For Feynman diagrams
+\usetikzlibrary{arrows,shapes}
+\usetikzlibrary{trees}
+\usetikzlibrary{matrix,arrows} 				% For commutative diagram
+% http://www.felixl.de/commu.pdf
+\usetikzlibrary{positioning}				% For "above of=" commands
+\usetikzlibrary{calc,through}				% For coordinates
+\usetikzlibrary{decorations.pathreplacing}  % For curly braces
+% http://www.math.ucla.edu/~getreuer/tikz.html
+\usepackage{pgffor}							% For repeating patterns
+
+\usetikzlibrary{decorations.pathmorphing}	% For Feynman Diagrams
+\usetikzlibrary{decorations.markings}
+\tikzset{
+	% >=stealth', %%  Uncomment for more conventional arrows
+	vector/.style={decorate, decoration={snake}, draw},
+	provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw},
+	antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw},
+	fermion/.style={draw=gray, postaction={decorate},
+		decoration={markings,mark=at position .55 with {\arrow[draw=gray]{>}}}},
+	fermionbar/.style={draw=gray, postaction={decorate},
+		decoration={markings,mark=at position .55 with {\arrow[draw=gray]{<}}}},
+	fermionnoarrow/.style={draw=gray},
+	gluon/.style={decorate, draw=black,
+		decoration={coil,amplitude=4pt, segment length=5pt}},
+	scalar/.style={dashed,draw=black, postaction={decorate},
+		decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}},
+	scalarbar/.style={dashed,draw=black, postaction={decorate},
+		decoration={markings,mark=at position .55 with {\arrow[draw=black]{<}}}},
+	scalarnoarrow/.style={dashed,draw=black},
+	electron/.style={draw=black, postaction={decorate},
+		decoration={markings,mark=at position .55 with {\arrow[draw=black]{>}}}},
+	bigvector/.style={decorate, decoration={snake,amplitude=4pt}, draw},
+}
+
+% TIKZ - for block diagrams, 
+% from http://www.texample.net/tikz/examples/control-system-principles/
+% \usetikzlibrary{shapes,arrows}
+\tikzstyle{block} = [draw, rectangle, 
+minimum height=3em, minimum width=6em]
+
+
+
+
+\usetikzlibrary{backgrounds}
+\usetikzlibrary{mindmap,trees}	% For mind map
+\newcommand{\degree}{\ensuremath{^\circ}}
+\newcommand{\E}{\mathrm{E}}
+\newcommand{\Var}{\mathrm{Var}}
+\newcommand{\Cov}{\mathrm{Cov}}
+\newcommand\Ts{\rule{0pt}{2.6ex}}       % Top strut
+\newcommand\Bs{\rule[-1.2ex]{0pt}{0pt}} % Bottom strut
+\def\ARROW{{\color{JungleGreen}{$\Rrightarrow$}}\xspace}  
+
+\graphicspath{{images/}}	% Put all images in this directory. Avoids clutter.
+
+% SOME COMMANDS THAT I FIND HANDY
+% \renewcommand{\tilde}{\widetilde} % dinky tildes look silly, dosn't work with fontspec
+%\newcommand{\comment}[1]{\textcolor{comment}{\footnotesize{#1}\normalsize}} % comment mild
+%\newcommand{\Comment}[1]{\textcolor{Comment}{\footnotesize{#1}\normalsize}} % comment bold
+%\newcommand{\COMMENT}[1]{\textcolor{COMMENT}{\footnotesize{#1}\normalsize}} % comment crazy bold
+\newcommand{\Alert}[1]{\textcolor{Alert}{#1}} % louder alert
+\newcommand{\ALERT}[1]{\textcolor{ALERT}{#1}} % loudest alert
+%% "\alert" is already a beamer pre-defined
+\newcommand*{\Scale}[2][4]{\scalebox{#1}{$#2$}}%
+
+\def\Put(#1,#2)#3{\leavevmode\makebox(0,0){\put(#1,#2){#3}}}
+
+\usepackage{gmp}
+\usepackage[final]{feynmp-auto}
+
+\usepackage[backend=bibtex,style=numeric-comp,firstinits=true]{biblatex}
+\bibliography{bib}
+\setbeamertemplate{bibliography item}[text]
+
+\makeatletter\let\frametextheight\beamer@frametextheight\makeatother
+
+% suppress frame numbering for backup slides
+% you always need the appendix for this!
+\newcommand{\backupbegin}{
+	\newcounter{framenumberappendix}
+	\setcounter{framenumberappendix}{\value{framenumber}}
+}
+\newcommand{\backupend}{
+	\addtocounter{framenumberappendix}{-\value{framenumber}}
+	\addtocounter{framenumber}{\value{framenumberappendix}} 
+}
+
+
+\definecolor{links}{HTML}{2A1B81}
+%\hypersetup{colorlinks,linkcolor=,urlcolor=links}
+
+% For shapo's formulas:
+\def\lsi{\raise0.3ex\hbox{$<$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}}
+\def\gsi{\raise0.3ex\hbox{$>$\kern-0.75em\raise-1.1ex\hbox{$\sim$}}}
+\newcommand{\lsim}{\mathop{\lsi}}
+\newcommand{\gsim}{\mathop{\gsi}}
+\newcommand{\wt}{\widetilde}
+%\newcommand{\ol}{\overline}
+\newcommand{\Tr}{\rm{Tr}}
+\newcommand{\tr}{\rm{tr}}
+\newcommand{\eqn}[1]{&\hspace{-0.7em}#1\hspace{-0.7em}&}
+\newcommand{\vev}[1]{\rm{$\langle #1 \rangle$}}
+\newcommand{\abs}[1]{\rm{$\left| #1 \right|$}}
+\newcommand{\eV}{\rm{eV}}
+\newcommand{\keV}{\rm{keV}}
+\newcommand{\GeV}{\rm{GeV}}
+\newcommand{\im}{\rm{Im}}
+\newcommand{\disp}{\displaystyle}
+\def\be{\begin{equation}}
+\def\ee{\end{equation}}
+\def\ba{\begin{eqnarray}}
+\def\ea{\end{eqnarray}}
+\def\d{\partial}
+\def\l{\left(}
+\def\r{\right)}
+\def\la{\langle}
+\def\ra{\rangle}
+\def\e{{\rm e}}
+\def\Br{{\rm Br}}
+\def\fixme{{\color{red} FIXME!}}
+\def\mc{{\color{Magenta}{MC}}}
+\def\pdf{{\rm p.d.f.}}
+\def\cdf{{\rm c.d.f.}}
+
+\newcommand*{\QEDA}{\hfill\ensuremath{\blacksquare}}%
+\newcommand*{\QEDB}{\hfill\ensuremath{\square}}%
+
+\author{ {\fontspec{Trebuchet MS}Marcin Chrz\k{a}szcz} (CERN)}
+\institute{UZH}
+\title[Random number generators and application]{Random number generators and application}
+\date{\fixme}
+
+
+\begin{document}
+\tikzstyle{every picture}+=[remember picture]
+
+{
+\setbeamertemplate{sidebar right}{\llap{\includegraphics[width=\paperwidth,height=\paperheight]{bubble2}}}
+\begin{frame}[c]%{\phantom{title page}} 
+\begin{center}
+\begin{center}
+	\begin{columns}
+		\begin{column}{0.9\textwidth}
+			\flushright\fontspec{Trebuchet MS}\bfseries \Huge {Random number generators and application}
+		\end{column}
+		\begin{column}{0.2\textwidth}
+		  %\includegraphics[width=\textwidth]{SHiP-2}
+		\end{column}
+	\end{columns}
+\end{center}
+	\quad
+	\vspace{3em}
+\begin{columns}
+\begin{column}{0.44\textwidth}
+\flushright \vspace{-1.8em} {\fontspec{Trebuchet MS} \Large Marcin Chrząszcz\\\vspace{-0.1em}\small \href{mailto:mchrzasz@cern.ch}{mchrzasz@cern.ch}}
+
+\end{column}
+\begin{column}{0.53\textwidth}
+\hspace{0.3\textwidth}\includegraphics[height=1.3cm]{cern}  
+\end{column}
+\end{columns}
+
+\vspace{1em}
+%		\footnotesize\textcolor{gray}{With N. Serra, B. Storaci\\Thanks to the theory support from M. Shaposhnikov, D. Gorbunov}\normalsize\\
+\vspace{0.5em}
+	\textcolor{normal text.fg!50!Comment}{Experimental Methods in Particle Physics, \\ 5 October, 2017}
+\end{center}
+\end{frame}
+}
+
+
+\begin{frame}\frametitle{Random and pseudorandom numbers}
+  \begin{exampleblock}{John von Neumann:}                                                                                                                                                                                                                                                                                                
+''Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number — there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.''
+        \end{exampleblock} 
+
+$\color{PineGreen}\Rrightarrow$ Random number: a given value that is taken by a random variable $ \twoheadrightarrow$ by definition cannot be predicted.\\
+%$\color{PineGreen}\Rrightarrow$ Sequence of random numbers $\twoheadrightarrow$ 
+$\color{PineGreen}\Rrightarrow$ Sources of truly random numbers:
+\begin{itemize}
+\item Mechanical
+\item Physical
+\end{itemize}
+$\color{PineGreen}\Rrightarrow$ Disadvantages of physical generators:
+\begin{itemize}
+\item To slow for typical applications, especially the mechanical ones!
+\item Not stable; small changes in boundary conditions might lead to completely different results!
+\end{itemize}
+
+
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Random numbers - history remark}
+$\color{PineGreen}\Rrightarrow$ In the past there were books with random numbers:
+\begin{center}
+\includegraphics[width=0.55\textwidth]{images/million-random-digits-open.jpg}
+  \end{center}
+$\color{PineGreen}\Rrightarrow$ It's obvious that they didn't become very popular ;)\\
+$\color{PineGreen}\Rrightarrow$ This methods are comming back!\\
+$\color{PineGreen}\twoheadrightarrow$ Storage device are getting more cheap and bigger (CD, DVD).\\
+$\color{PineGreen}\twoheadrightarrow$ 1995: G. Marsaglia, $650\rm MB$ of random numbers, ''White and Black Noise''.
+
+
+\end{frame}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Pseudorandom numbers}
+$\color{PineGreen}\Rrightarrow$ Pseudorandom numbers are numbers that are generated accordingly to strict mathematical formula. \\
+$\color{PineGreen}\looparrowright$ Strictly speaking they are non random numbers, how ever they have all the statistical properties of random numbers.\\
+$\color{PineGreen}\looparrowright$  Discussing those properties is a wide topic so let's just say that without knowing the formula they are generated by one cannot say if those numbers are random or not.\\
+$\color{PineGreen}\Rrightarrow$  Mathematical methods of producing pseudorandom numbers:
+\begin{itemize}
+\item Good statistical properties of generated numbers.
+\item Easy to use and fast!
+\item Reproducible!
+\end{itemize}
+$\color{PineGreen}\Rrightarrow$ Since mathematical pseudorandom genrators are dominantly:  pseudorandom $\rightarrowtail$ random.
+
+
+\end{frame}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Middle square generator; von Neumann}
+$\color{PineGreen}\Rrightarrow$  The first mathematical generator (middle square) was proposed by von Neumann (1964).\\{~}\\
+$\color{PineGreen}\looparrowright$ Formula: $
+\tcbhighmath[fuzzy halo=0.5mm with PineGreen!50!white,arc=0.1pt,
+  boxrule=0pt,frame hidden]{ X_n= \lfloor X_{n-1}^2\cdot 10 ^{-m} \rfloor - \lfloor X_{n-1}^2\cdot 10^{-3m} \rfloor \cdot 10^{2m}}
+$
+
+$\color{PineGreen}\looparrowright$ where $X_0$ is a constant (seed), $\lfloor\cdot\rfloor$ is the cut-off of a number to integer.\\
+$\color{PineGreen}\Rrightarrow$  Example:\\
+{~}{~}Let's put $m=2$ and $X_0=2045$:\\
+\begin{columns}
+\column{0.1\textwidth}
+{~}
+\column{0.4\textwidth}
+$\color{PineGreen}\looparrowright$ $X_0^2=\underbrace{04}_{\rm rej}1820\underbrace{25}_{\rm rej}$
+\column{0.3\textwidth}
+ $\Rightarrow X_1=1820$
+\end{columns}
+\begin{columns}
+\column{0.1\textwidth}
+{~}
+\column{0.4\textwidth}
+$\color{PineGreen}\looparrowright$ $X_1^2=\underbrace{03}_{\rm rej}3124\underbrace{00}_{\rm rej}$
+\column{0.3\textwidth}
+ $\Rightarrow X_1=3124$
+\end{columns}
+$\color{PineGreen}\looparrowright$ Simple generator but unfortunately quite bad generator. Firstly the sequences are very short and strongly dependent on the $X_0$ number.
+
+
+
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Linear generators $\rm \color{RubineRed}{Lecture2/Linear\_gen1}$}
+$\color{PineGreen}\Rrightarrow$  This was a first generator written and it's a good example how to not write generators.\\
+$\color{PineGreen}\Rrightarrow$ It's highly non stable!
+\includegraphics[width=0.8\textwidth]{images/shit.png}
+
+
+
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Linear generators}
+
+$\color{PineGreen}\Rrightarrow$ General equation:
+\begin{equation}
+\tcbhighmath[fuzzy halo=0.5mm with PineGreen!50!white,arc=0.1pt,
+  boxrule=0pt,frame hidden]{X_n=(a_1X_{n-1} + a_2X_{n-2}+...+a_kX_{n-k}+c)~{\rm mod}~m    ,} \nonumber
+\end{equation}
+$\color{PineGreen}\looparrowright$ where $a_i,c,m$ are parameters of a generator(integer numbers).\\
+$\color{PineGreen}\looparrowright$  Generator initialization $\color{PineGreen} \rightleftarrows$ setting those parameters.\\
+$\color{PineGreen}\Rrightarrow$ Very old generators. (often used in Pascal, or first C versions):
+\begin{columns}
+\column{0.1\textwidth}
+{~}
+\column{0.8\textwidth}
+$k=1:~X_n=(aX_{n-1} +c )~{\rm mod} m,$
+$c=
+\begin{cases}
+=0, {\rm multiplicative geneator}\\
+\neq 0, {\rm mix geneator}
+\end{cases}
+$
+\column{0.1\textwidth}
+{~}
+
+
+\end{columns}
+$\color{PineGreen}\Rrightarrow$ The period can be achieved by tuning the seed parameters:\\
+$P_{{\rm max}}=
+\begin{cases}
+2^{L-2};~{\rm for~} m=2^L\\
+m-1;~{\rm for~} m= {\rm prime~number}
+\end{cases}
+$
+\end{frame}
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Shift register generator}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ General equation:
+\begin{equation}
+\tcbhighmath[fuzzy halo=0.5mm with PineGreen!50!white,arc=0.1pt,
+  boxrule=0pt,frame hidden]{b_n=(a_1X_{n-1} + a_2X_{n-2}+...+a_kX_{n-k}+c)~{\rm mod}~2    ,} \nonumber
+\end{equation}
+where $a_i \subset(\lbrace0,1\rbrace )$\\
+$\color{PineGreen}\Rrightarrow$ Super fast and easy to implement due to: $(a+b) ~{\rm mod}~2 = a~{\rm xor}~b$
+\begin{center}
+\begin{tabular}{||c|c|c||}
+\hline \hline a & b & a xor b\\ \hline
+0 & 0 & 0\\
+1 & 0 & 1\\
+0 & 1 & 1\\
+1 & 1 & 0\\ \hline \hline
+\end{tabular}
+\end{center}
+$\color{PineGreen}\Rrightarrow$ Maximal period is $2^k-1$.\\
+$\color{PineGreen}\Rrightarrow$ Example (Tausworths generator):\\
+$a_p=a_q=1$, other $a_i=0$ and $p>q$. Then: $b_n=b_{n-p}~{\rm xor}~b_{n-q}$
+
+$\color{PineGreen}\Rrightarrow$ How to get numbers from bits (for example):\\
+$U_i = \sum_{j=1}^L 2^{-j} b_{is+j},~s<L$.
+
+\end{small}
+\end{frame}
+\iffalse
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Fibonacci generator}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ In 1202 Fibonacci with Leonardo in Piza:
+\begin{equation}
+f_n=f_{n-2}+f_{n-1},~n\geqslant 2 \nonumber
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ Based on this first generator was created (Taussky and Todd, 1956):
+\begin{equation}
+X_n=(X_{n-2}+X_{n-1})~{\rm mod}~m,~n\geqslant 2 \nonumber
+\end{equation}
+This generator isn't so good in terms of statistics tests.\\
+$\color{PineGreen}\Rrightarrow$ Generalization:
+\begin{equation}
+X_n=(X_{n-r} \odot X_{n-s})~{\rm mod}~m,~n \geqslant r ,~s \geqslant 1 \nonumber
+\end{equation}\begin{center}
+
+\begin{tabular}{||c|c|c||}
+\hline \hline $\bigodot$ & $P_{max}$ & Stat. properties \\ \hline
+$+,-$ & $(2^r-1)2^{L-1}$ & good \\
+$x$ & $(2^r-1)2^{L-13}$ & very good \\
+$xor$ & $(2^r-1)$ & poor \\ \hline \hline 
+\end{tabular}
+
+
+\end{center}
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Multiply with carry, generator}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ We start from:
+\begin{equation}
+b_n=(a_1X_{n-1} + a_2X_{n-2}+...+a_kX_{n-k}+c)~{\rm mod}~m, \nonumber
+\end{equation}
+where $a_1,..,a_k \in \mathbb{N}$ are constant parameters.\\
+$\color{PineGreen}\Rrightarrow$  The c parameters is calculated foe each step:
+\begin{equation}
+c=\lfloor (a_1X_{n-1} + a_2X_{n-2}+...+a_kX_{n-k}+c)/m\rfloor, \nonumber 
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ Initialization: $a_1,..,a_k,c$.\\
+$\color{PineGreen}\Rrightarrow$ Advantages:
+\begin{itemize}
+\item Fast and easy to implement.
+\item Large period.
+\item Good statistical properties.
+\item First proposed by Marsaglia.
+\end{itemize}
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Subtract with borrow, generator}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$  Created again by Marsaglia (1991):
+\begin{equation}
+X_n=(X_{n-r} \circleddash X_{n-s})~{\rm mod}~m,~r,s  \nonumber \in \mathbb{N},
+\end{equation}
+where :
+\begin{equation}
+x \circleddash y = \begin{cases}
+x-y-c +m,~c=1,~{\rm{ when~x-y-c<0}}\\
+x-y-c,~c=0,~{\rm{ when~x-y-c\geq0}} \nonumber 
+\end{cases}
+\end{equation}
+
+
+$\color{PineGreen}\Rrightarrow$ Initialization: $X_1,...,X_{n-r}$ and $c=0$.\\
+$\color{PineGreen}\Rrightarrow$ Fast and easy :)\\
+$\color{PineGreen}\Rrightarrow$ Fails some of the basic statistics tests.
+\end{small}
+\end{frame}
+\fi
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Non linear generators}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ The natural solutions to problems of linear generators are the non-linear generators (second part of 1980s).\\
+$\color{PineGreen}\Rrightarrow$ Eichenauera i Lehna (1986):
+\begin{equation}
+X_n= (a X_{n−1}^{-1} + b)~{\rm mod}~m, \nonumber 
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ Eichenauera-Hermanna (1993)
+\begin{equation}
+X_n= [a(n+n_0)+b]^{-1}~{\rm mod}~m, \nonumber 
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ L. Blum, M. Blum, Shub (1986):
+\begin{equation}
+X_n= X_{n-1}^2~{\rm mod}~m, \nonumber 
+\end{equation}
+$\color{PineGreen}\rightarrowtail$ Very popular in cryptography.\\
+$\color{PineGreen}\Rrightarrow$ Pros and cons:
+\begin{itemize}
+\item {\color{PineGreen}{They all pass all statistical tests.}}
+\item {\color{red}{Much slower then linear generators.}}
+\end{itemize}
+\end{small}
+\end{frame}
+
+
+
+
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%5
+%% Stat tests$
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{\texttt{RANLUX} generator}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ All described generators are based on some mathematical algorithms and recursion. The typical scheme is of constructing a MC generator:
+\begin{itemize}
+\item Think of a formula that takes some initial values.
+\item Generate large number of random numbers and put them through statistical tests.
+\item If the test are positive we accept the the generator.
+\end{itemize}
+$\color{PineGreen}\Rrightarrow$ Now let's think: why the hell numbers obtained that way are showing some random number properties?\pause ~There is no science behind it, it's pure luck!\\
+$\color{PineGreen}\Rrightarrow$ M.Luscher (1993) \href{http://arxiv.org/pdf/hep-lat/9309020v1.pdf}{hep-lat/9309020}\\
+$\color{PineGreen}\Rrightarrow$ Generator RANLUX based on Kolomogorow entropy and Lyapunov exponent. { \color{PineGreen} Effectively we are building inside the generator the chaos theory}.\\
+$\color{PineGreen}\Rrightarrow$  RANLUX and Mersenne Twister (TRandom1, TRandom3) are the 2 most powerful generators in the world that passed every known statistical test.
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Chaos theory in a nut shell}
+\begin{small}
+\begin{columns}
+\column{0.1in}
+{~}
+\column{3in}
+$\color{PineGreen}\Rrightarrow$ We know that the solution of classical systems is described by trajectory in phase spaces. Now the problem with this picture starts to be when arround one point in this phase space we are getting more and more trajectories that are drifting a part later on.\\
+$\color{PineGreen}\Rrightarrow$ The Lyapunov exponent tells us how a two solutions drift apart with time:
+\begin{equation}
+\vert \delta X(t) \vert \approx  e^{\lambda t} \vert \delta X_0 \vert \nonumber
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ Kolomogorow entropy:
+\begin{equation}
+h_K = \int_P \lambda d \mu  \nonumber
+\end{equation}
+\column{2in}
+
+\includegraphics[width=0.9\textwidth]{images/Focal_stability.png}\\
+\includegraphics[width=0.9\textwidth]{images/LogisticMap_BifurcationDiagram.png}
+
+\end{columns}
+\end{small}
+\end{frame}
+
+
+
+\begin{frame}\frametitle{Reverting the \cdf}
+ \begin{footnotesize}
+ \begin{alertblock}{~}
+\ARROW Let $U$ be a random variable from $\mathcal{U}(0,1)$\\
+\ARROW Now let $F$ be a non decreasing function such that:
+\begin{align*}
+F(- \infty) =0~~~~F(\infty)=1
+\end{align*}
+then:
+\begin{align*}
+X=F^{-1}(U)
+\end{align*}
+has a \pdf~ distribution with a \cdf~function of F.
+ \end{alertblock}
+\ARROW Prove:
+\begin{align*}
+F(x)=\mathcal{P}(U\leq F(x))=\mathcal{P}(F^{-1}(U) \leq x) = \mathcal{P}(X \leq x)  ~~~~  \QEDB
+\end{align*}
+\ARROW So it looks very simple if $x_1,X_2,...,X_n$ are random variables from $\mathcal{U}(0,1)$ then: $\lbrace X_i=F^{-1}(x_i)\rbrace,i=1,...,n$ is the sequence that has a \cdf~distirbution of $F$.  
+
+ 
+ \end{footnotesize}
+
+\end{frame}
+
+\begin{frame}\frametitle{Reverting the \cdf, examples}
+ \begin{footnotesize}
+\ARROW The exponential distribution: $E(0,1)$. \\
+\ARROW The \pdf : $\rho(X)=e^{-X},~X \geq 0$.\\
+\ARROW The \cdf : $F(x) = \int_0^x e^{-X} dX= 1- e^{-x}.$\\
+\ARROW Now let $R \in \mathcal{U}(0,1):~R=F(X)=1-e^{-X} \longrightarrow X = -\ln(1-R)$\\
+\ARROW Now we can play a trick: if $R \in \mathcal{U}(0,1)$ then $1-R$ also in $\mathcal{U}(0,1)$. \\
+\ARROW In the end we get: $X=-\ln(R)$  \\
+ {~}\\
+\ARROW Use the reverting to generate the following distributions:
+\begin{itemize}
+\item E 6.1 $\rho(X)= \dfrac{c}{X}$ on the interval $[a,b]$, where $0<a<b<\infty$.
+\item E6.2 The Breit-Wigner function:
+\begin{align*}
+\rho_{\theta,\lambda}(X)=\dfrac{\lambda}{\pi} \dfrac{1}{(X-\theta)^2 + \lambda^2}
+\end{align*}
+Hit: First do $C(0,1)$ then transform the variables.
+\end{itemize} 
+ 
+ \end{footnotesize}
+
+\end{frame}
+
+\begin{frame}\frametitle{Reverting the \cdf, general case}
+ \begin{footnotesize}
+ \begin{alertblock}
+\ARROW Lets assume: $F$ - non decreasing function such that: $F(-\infty)=0$ and $F(\infty)=1$. Then a random variable $X$:
+\begin{align*}
+X=\inf \lbrace x: U \leq F(x) \rbrace
+\end{align*}
+has a distribution with a \cdf~of $F$
+\end{alertblock} 
+
+
+\begin{center}
+\includegraphics[width=0.5\textwidth]{images/code.png}
+\end{center}
+ \ARROW E6.3 Using the above example please generate the \pdf~accordingly to:
+ \begin{equation}
+ \mathcal{ P}(X=k) =p_k=A \sin (\dfrac{\pi}{10}\left[k+\dfrac{1}{2}\right])\nonumber
+ \end{equation}
+ where $A$ is the normalization constant (calculate it!). From the generated numbers make a histogram and compare to the exact function.
+ \end{footnotesize}
+
+\end{frame}
+
+
+
+
+\begin{frame}\frametitle{Reverting the \cdf, pros and cons}
+ \begin{footnotesize}
+\ARROW Pros:
+\begin{itemize}
+\item Very accurate method.
+\item Fast and easy.
+\item To generate one random number from \cdf~you need one random number from $\mathcal{U}(0,1)$.
+\end{itemize}
+\ARROW Cons:
+\begin{itemize}
+\item Usually we require that the \cdf~is revertible analytically( small number of functions).
+\item If we use the numerical method of reverting the function, then it's much slower and less accurate.
+\item Super hard fro multidimensional distributions.
+\end{itemize}
+
+\ARROW Mathematical digression: Numerical reverting the \cdf :
+\begin{itemize}
+\item We look for the zero of the function: $F_u(X)\equiv F(X)-U$, where $U \in \mathcal{U}(0,1)$.
+\item $X_0=F^{-1}(U)$
+\end{itemize}
+
+ \end{footnotesize}
+
+\end{frame}
+
+
+
+
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{HEP simulation}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ There is some ambiguity what particle physicist call MC. Normally those are mathematical theorises but when we say MC we usually mean MC simulation of a physics process.
+$\color{PineGreen}\Rrightarrow$ There are plenty of things that need to be simulated:
+\only<1>{
+\includegraphics[width=0.95\textwidth]{images/gen1.png}
+}
+\only<2>{
+\includegraphics[width=0.95\textwidth]{images/gen2.png}
+}
+\only<3>{
+\includegraphics[width=0.95\textwidth]{images/gen3.png}
+}
+\only<4>{
+\includegraphics[width=0.95\textwidth]{images/gen4.png}
+}
+\only<5>{
+\includegraphics[width=0.95\textwidth]{images/gen5.png}
+}
+\only<6>{
+\includegraphics[width=0.95\textwidth]{images/gen6.png}
+}
+\end{small}
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Detector simulation}
+
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ Things do not get simpler on the detector side simulation.\\
+$\color{PineGreen}\Rrightarrow$ Lots of effects need to be taken into account:
+\begin{columns}
+\column{0.2in}
+{~}
+\column{2in}
+$\color{PineGreen}\rightarrowtail$ Bremsstrahlung\\
+$\color{PineGreen}\rightarrowtail$ Interactions with different detector materials\\
+$\color{PineGreen}\rightarrowtail$ Particle identification\\
+$\color{PineGreen}\rightarrowtail$ Showers\\
+\column{3in}
+\includegraphics[width=0.95\textwidth]{{images/lhcb2_h-640x408}.jpg}
+\end{columns}
+$\color{PineGreen}\Rrightarrow$ Example of generators:\\
+$\color{PineGreen}\rightarrowtail$ FLUKA\\
+$\color{PineGreen}\rightarrowtail$ Geant
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Method of Moments}
+
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ Now real cool things!\\
+$\color{PineGreen}\Rrightarrow$ Let's consider we want to study a rare decay: $\PB^{\pm} \to \PK^{\pm} \Pmu \Pmu$.  The decay is described by the following PDF:
+\begin{equation}
+\dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} =\dfrac{3}{4}(1-F_H)(1-\cos^2 \theta_l)+F_H/2 + A_{FB}\cos \theta_l \nonumber
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ PDF by construction is normalized: $\int_{-1}^{1} \dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} =1$
+\begin{columns}
+\column{0.1in}
+{~}
+\column{2.2in}
+\begin{itemize}
+\item Normally we do a likelihood fit and we are done.
+\item There is a second way!
+\end{itemize}
+\column{2.8in}
+\includegraphics[width=0.95\textwidth]{images/Kmumu_LL.png}
+\end{columns}
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Method of Moments}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ Let's calculate the integrals:
+\begin{equation}
+\int_{-1}^{1} \dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} \cdot \cos \theta_l = \dfrac{2}{3}A_{FB} \nonumber
+\end{equation}
+\begin{equation}
+\int_{-1}^{1} \dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} \cdot \cos^2 \theta_l = \dfrac{1}{5} + \dfrac{2 F_H}{15} \nonumber
+\end{equation}
+$\color{PineGreen}\Rrightarrow$ So we can get our parameters that we searched for by doing a integration. So now what?\pause \\
+$\color{PineGreen}\Rrightarrow$ Well nature is the best random number generator so let's take the data and treat and calculate the integral estimates:
+\begin{equation}
+\int_{-1}^{1} \dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} \cdot \cos \theta_l = \dfrac{2}{3}A_{FB} = \dfrac{1}{N} \sum_{i=1}^N  \cos \theta_{l,i} \nonumber 
+\end{equation}
+\begin{equation}
+\int_{-1}^{1} \dfrac{1}{\Gamma}\dfrac{d^2\Gamma}{dq^2 d\cos \theta_l} \cdot \cos^2 \theta_l = \dfrac{1}{5} + \dfrac{2 F_H}{15}= \dfrac{1}{N} \sum_{i=1}^N  \cos^2 \theta_{l,i} \nonumber
+\end{equation}
+
+\end{small}
+\end{frame}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Method of Moments}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ So what did we do?
+\begin{itemize}
+\item We have just estimated a parameters of interests without using any fit!!
+\end{itemize}
+$\color{PineGreen}\Rrightarrow$ Pros and cones of method of moments:
+\begin{itemize}
+\item {\color{PineGreen}{Are very immune to bias.}}
+\item {\color{PineGreen}{Do not suffer from boundary problems.}}
+\item {\color{PineGreen}{Require less statistic to work then likelihood fit.}}
+\item {\color{PineGreen}{They always have a Gaussian error}}.
+\item {\color{Red}{Estimator has a larger uncertainty.}}
+
+
+\end{itemize}
+
+\end{small}
+\end{frame}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Method of Moments, uncertainty estimator}
+\begin{small}
+\begin{columns}
+\column{0.1in}
+{~}
+\column{2.5in}
+$\color{PineGreen}\Rrightarrow$ It can be proven that Method of Moments estimator converges slower then the maximum likelihood fit.
+\column{2.5in}
+\includegraphics[width=0.95\textwidth]{images/S7.png}
+\end{columns}
+
+\begin{columns}
+\column{0.1in}
+{~}
+\column{2.5in}
+\includegraphics[width=0.95\textwidth]{images/S8F_950.png}
+\column{2.5in}
+\includegraphics[width=0.95\textwidth]{images/S8.png}
+\end{columns}
+
+\end{small}
+\end{frame}
+
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\begin{frame}\frametitle{Other application of MC - testing your analysis}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$  Probably the biggest application of MC methods in HEP are validations of your experimental methodology. The procedure is as follows:
+\begin{itemize}
+\item Define your analysis methodology: selection, efficiency corrections, parameters you want to measure.
+\item Simulate an assembly of simulation events for different values of parameters you want to measure.
+\item Do the analysis on this pseudo data.
+\item See if you are getting back what you have simulated.
+\end{itemize}
+
+\end{small}
+\end{frame}
+
+\begin{frame}\frametitle{Testing your analysis,  $\rm \color{RubineRed}{Lecture2/Test\_met}$}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$  Probably the biggest application of MC methods in HEP are validations of your experimental methodology. The procedure is as follows:
+\begin{itemize}
+\item Define your analysis methodology: selection, efficiency corrections, parameters you want to measure.
+\item Simulate an assembly of simulation events for different values of parameters you want to measure.
+\item Do the analysis on this pseudo data.
+\item See if you are getting back what you have simulated.
+\end{itemize}
+\includegraphics[width=0.4\textwidth]{{images/mean_estimator}.png}
+\end{small}
+\end{frame}
+
+
+\begin{frame}\frametitle{Wrap up}
+\begin{small}
+$\color{PineGreen}\Rrightarrow$ Things to remember:
+\begin{itemize}
+\item Computer cannot produce random numbers, only pseudorandom numbers.
+\item We use pseudorandon numbers as random numbers if they are statistically acting the same as random numbers.
+\item Linear generators are not commonly used nowadays.
+\item State of the art generators are the ones based on Kolomogorows theorem.
+\item MC methods used to simulate physics process, detector response and validating the estimators. 
+\end{itemize}
+\end{small}
+\end{frame}
+
+
+
+\backupbegin   
+
+\begin{frame}\frametitle{Backup}
+
+
+\end{frame}
+
+\backupend			
+
+\end{document}
diff --git a/Lectures_my/EMPP/2017/Lecture2/mchrzasz.toc b/Lectures_my/EMPP/2017/Lecture2/mchrzasz.toc
new file mode 100644
index 0000000..429917f
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/mchrzasz.toc
@@ -0,0 +1,5 @@
+\boolfalse {citerequest}\boolfalse {citetracker}\boolfalse {pagetracker}\boolfalse {backtracker}\relax 
+\defcounter {refsection}{0}\relax 
+\beamer@endinputifotherversion {3.24pt}
+\defcounter {refsection}{0}\relax 
+\select@language {english}
diff --git a/Lectures_my/EMPP/2017/Lecture2/tikzfeynman.sty b/Lectures_my/EMPP/2017/Lecture2/tikzfeynman.sty
new file mode 100755
index 0000000..521fc65
--- /dev/null
+++ b/Lectures_my/EMPP/2017/Lecture2/tikzfeynman.sty
@@ -0,0 +1,43 @@
+% Tikz Feynman Diagrams
+% by Flip Tanedo
+% 4 January 2011, work in progress
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%%% TIKZ - for drawing Feynman diagrams %%%%
+%%% ... use with pdflatex   			%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\usepackage{tikz}
+\usetikzlibrary{arrows,shapes}
+\usetikzlibrary{trees}
+\usetikzlibrary{matrix,arrows} 				% For commutative diagram
+											% http://www.felixl.de/commu.pdf
+\usetikzlibrary{positioning}				% For "above of=" commands
+\usetikzlibrary{calc,through}				% For coordinates
+\usetikzlibrary{decorations.pathreplacing}  % For curly braces
+\usepackage[tikz]{bclogo} 					% For cute logo boxes
+\usepackage{pgffor}							% For repeating patterns
+
+\usetikzlibrary{decorations.pathmorphing}	% For Feynman Diagrams
+\usetikzlibrary{decorations.markings}
+\tikzset{
+	% >=stealth', %% Different kind of arrows
+    vector/.style={decorate, decoration={snake}, draw},
+    fermion/.style={postaction={decorate},
+        decoration={markings,mark=at position .55 with {\arrow{>}}}},
+    fermionbar/.style={draw, postaction={decorate},
+        decoration={markings,mark=at position .55 with {\arrow{<}}}},
+    fermionnoarrow/.style={},
+    gluon/.style={decorate,
+        decoration={coil,amplitude=4pt, segment length=5pt}},
+    scalar/.style={dashed, postaction={decorate},
+        decoration={markings,mark=at position .55 with {\arrow{>}}}},
+    scalarbar/.style={dashed, postaction={decorate},
+        decoration={markings,mark=at position .55 with {\arrow{<}}}},
+    scalarnoarrow/.style={dashed,draw},
+%
+%% 	Special vectors (when you need to fine-tune wiggles)
+	provector/.style={decorate, decoration={snake,amplitude=2.5pt}, draw},
+	antivector/.style={decorate, decoration={snake,amplitude=-2.5pt}, draw},
+}
+