From 33949b1d18425d9d6b801aaf3525c13c53663d47 Mon Sep 17 00:00:00 2001
From: sijanec <anton@sijanec.eu>
Date: Tue, 1 Jun 2021 16:16:11 +0200
Subject: =?UTF-8?q?videoanaliza=20kon=C4=8Dana?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
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 .../05302044-0.5L-2bar-brezfilma-breztlaka.csv     |  71 --
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diff --git a/fiz/naloga/podatki-vaga/05302044-0.5L-2bar-brezfilma-breztlaka.csv b/fiz/naloga/podatki-vaga/05302044-0.5L-2bar-brezfilma-breztlaka.csv
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@@ -0,0 +1,71 @@
+1997765,0.00,-132473.12
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+1997914,0.00,-131612.90
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diff --git a/fiz/naloga/podatki-vaga/05302112-0.7L-2bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05302112-0.7L-2bar-film-breztlaka.csv
new file mode 100644
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diff --git a/fiz/naloga/podatki-vaga/05311819-0.6L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311819-0.6L-3bar-film-breztlaka.csv
new file mode 100644
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diff --git a/fiz/naloga/podatki-vaga/05311829-0.6L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311829-0.6L-3bar-film-breztlaka.csv
new file mode 100644
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+++ b/fiz/naloga/podatki-vaga/05311829-0.6L-3bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311836-0.6L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311836-0.6L-3bar-film-breztlaka.csv
new file mode 100644
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+++ b/fiz/naloga/podatki-vaga/05311836-0.6L-3bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311841-0.6L-2bar-slabfilm-breztlaka.csv b/fiz/naloga/podatki-vaga/05311841-0.6L-2bar-slabfilm-breztlaka.csv
new file mode 100644
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--- /dev/null
+++ b/fiz/naloga/podatki-vaga/05311841-0.6L-2bar-slabfilm-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311850-0.6L-2bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311850-0.6L-2bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311857-0.6L-1bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311857-0.6L-1bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311905-0.6L-1bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311905-0.6L-1bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311908-0.6L-1bar-slabfilm-breztlaka.csv b/fiz/naloga/podatki-vaga/05311908-0.6L-1bar-slabfilm-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311913-0.6L-4bar-slabfilm-breztlaka.csv b/fiz/naloga/podatki-vaga/05311913-0.6L-4bar-slabfilm-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311938-0.3L-2bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311938-0.3L-2bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311956-0.3L-1bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311956-0.3L-1bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05311959-0.3L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05311959-0.3L-3bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05312003-0.3L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05312003-0.3L-3bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05312013-0.3L-3bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05312013-0.3L-3bar-film-breztlaka.csv
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diff --git a/fiz/naloga/podatki-vaga/05312042-0.9L-1bar-film-breztlaka.csv b/fiz/naloga/podatki-vaga/05312042-0.9L-1bar-film-breztlaka.csv
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new file mode 100644
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diff --git a/fiz/naloga/podatki-vaga/05312105-0.9L-2bar-slabfilm-breztlaka.csv b/fiz/naloga/podatki-vaga/05312105-0.9L-2bar-slabfilm-breztlaka.csv
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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 LaTeX Font Info:    Overwriting math alphabet `\mathit' in version `normal'
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 LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `normal'
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 LaTeX Font Info:    Overwriting math alphabet `\mathtt' in version `bold'
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 LaTeX Font Info:    Overwriting math alphabet `\mathrm' in version `bold'
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 LaTeX Font Info:    Overwriting math alphabet `\mathbf' in version `bold'
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 LaTeX Font Info:    Overwriting math alphabet `\mathsf' in version `bold'
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 LaTeX Font Info:    Overwriting symbol font `pureletters' in version `normal'
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 LaTeX Font Info:    Overwriting symbol font `pureletters' in version `bold'
 (Font)                  OT1/mathkerncmss/m/sl --> OT1/mathkerncmss/bx/sl on inp
-ut line 91.
+ut line 92.
 
 (/usr/local/texlive/2021/texmf-dist/tex/latex/translator/translator-basic-dicti
 onary-English.dict
@@ -1825,7 +1860,7 @@ Dictionary: translator-theorem-dictionary, Language: English
 Package pgfplots Warning: running in backwards compatibility mode (unsuitable t
 ick labels; missing features). Consider writing \pgfplotsset{compat=1.17} into 
 your preamble.
- on input line 91.
+ on input line 92.
 
 
 (/usr/local/texlive/2021/texmf-dist/tex/latex/siunitx/siunitx-abbreviations.cfg
@@ -1858,23 +1893,23 @@ Package biblatex Info: Trying to load bibliographic data...
 Package biblatex Info: ... file 'dokument.bbl' found.
 
 (./dokument.bbl)
-Package biblatex Info: Reference section=0 on input line 91.
-Package biblatex Info: Reference segment=0 on input line 91.
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+Package biblatex Info: Reference segment=0 on input line 92.
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+LaTeX Font Info:    Trying to load font information for U+msa on input line 92.
 
 
 (/usr/local/texlive/2021/texmf-dist/tex/latex/amsfonts/umsa.fd
 File: umsa.fd 2013/01/14 v3.01 AMS symbols A
 )
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+LaTeX Font Info:    Trying to load font information for U+msb on input line 92.
 
 
 (/usr/local/texlive/2021/texmf-dist/tex/latex/amsfonts/umsb.fd
 File: umsb.fd 2013/01/14 v3.01 AMS symbols B
 )
 LaTeX Font Info:    Trying to load font information for OT1+mathkerncmss on inp
-ut line 91.
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 (/usr/local/texlive/2021/texmf-dist/tex/latex/sansmathaccent/ot1mathkerncmss.fd
 File: ot1mathkerncmss.fd 2020/01/31 Fontinst v1.933 font definitions for OT1/ma
@@ -1885,49 +1920,154 @@ thkerncmss.
 (./dokument.toc) [2
 
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+ <../tekst/img-tracked/rampa.jpg>]
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+
+! Please use \mathaccent for accents in math mode.
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+I'm changing \accent to \mathaccent here; wish me luck.
+(Accents are not the same in formulas as they are in text.)
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+! You can't use `\spacefactor' in math mode.
+\add@accent ... \accent #1 #2\egroup \spacefactor 
+                                                  \accent@spacefactor 
+l.196 \end{frame}
+                 
+Sorry, but I'm not programmed to handle this case;
+I'll just pretend that you didn't ask for it.
+If you're in the wrong mode, you might be able to
+return to the right one by typing `I}' or `I$' or `I\par'.
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+Missing character: There is no � in font cmex10!
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+File: totem.jpg Graphic file (type jpg)
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+spelling (e.g., `I\hbox'). Otherwise just continue,
+and I'll forget about whatever was undefined.
+
+
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+ []
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+
+LaTeX Warning: Command \v invalid in math mode on input line 234.
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+! Please use \mathaccent for accents in math mode.
+\add@accent ... \let \ignorespaces \relax \accent 
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+l.234 \end{frame}
+                 
+I'm changing \accent to \mathaccent here; wish me luck.
+(Accents are not the same in formulas as they are in text.)
+
+! You can't use `\spacefactor' in math mode.
+\add@accent ... \accent #1 #2\egroup \spacefactor 
+                                                  \accent@spacefactor 
+l.234 \end{frame}
+                 
+Sorry, but I'm not programmed to handle this case;
+I'll just pretend that you didn't ask for it.
+If you're in the wrong mode, you might be able to
+return to the right one by typing `I}' or `I$' or `I\par'.
+
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+File: špric.jpg Graphic file (type jpg)
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+
+ <./špric.jpg>] [8
+
+] [9
+
+] [10
 
 ]
 
@@ -1937,16 +2077,19 @@ Package biblatex Warning: '\mainlang' is deprecated in favour of
 (biblatex)                but note that the syntax is different.
 (biblatex)                Using the old, problematic definition.
 
-[8
+[11
 
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-(Font)              scaled to size 10.95pt on input line 207.
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+LaTeX Font Info:    Trying to load font information for TS1+cmss on input line 
+284.
+ (/usr/local/texlive/2021/texmf-dist/tex/latex/base/ts1cmss.fd
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+) [12
 
-] [10
+] [13
 
-] [11
+]
+[14
 
 ]
 \tf@nav=\write8
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 \openout10 = `dokument.snm'.
 
  (./dokument.aux)
+
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diff --git a/fiz/naloga/predstavitev/dokument.nav b/fiz/naloga/predstavitev/dokument.nav
index 2e7b731..6c9f167 100644
--- a/fiz/naloga/predstavitev/dokument.nav
+++ b/fiz/naloga/predstavitev/dokument.nav
@@ -45,21 +45,25 @@
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 \headcommand {\beamer@subsectionpages {5}{5}}
 \defcounter {refsection}{0}\relax 
-\headcommand {\sectionentry {4}{Pridobljene meritve}{6}{Pridobljene meritve}{0}}
+\headcommand {\sectionentry {4}{Izvedba meritev poskusa}{6}{Izvedba meritev poskusa}{0}}
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+\headcommand {\beamer@subsectionentry {0}{4}{1}{6}{\textit {Konstantne}, \textbf {odvisne} in \texttt {nadzorovane} vrednosti}}
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-\headcommand {\slideentry {4}{1}{1}{6/6}{Tabele}{0}}
+\headcommand {\slideentry {4}{1}{1}{6/6}{\textit {Konstantne}, \textbf {odvisne} in \texttt {nadzorovane} vrednosti}{0}}
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+\headcommand {\beamer@subsectionentry {0}{4}{2}{7}{Obdelava pridobljenih podatkov}}
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+\defcounter {refsection}{0}\relax 
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 \headcommand {\beamer@framepages {7}{7}}
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+\headcommand {\slideentry {5}{3}{1}{10/10}{Rezultati in komentarji nanje ter ugotovitve}{0}}
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+\headcommand {\gdef \inserttotalframenumber {14}}
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diff --git a/fiz/naloga/predstavitev/dokument.pdf b/fiz/naloga/predstavitev/dokument.pdf
index d8fab6b..9b935b2 100644
Binary files a/fiz/naloga/predstavitev/dokument.pdf and b/fiz/naloga/predstavitev/dokument.pdf differ
diff --git a/fiz/naloga/predstavitev/dokument.synctex.gz b/fiz/naloga/predstavitev/dokument.synctex.gz
index 050038b..573ac50 100644
Binary files a/fiz/naloga/predstavitev/dokument.synctex.gz and b/fiz/naloga/predstavitev/dokument.synctex.gz differ
diff --git a/fiz/naloga/predstavitev/dokument.tex b/fiz/naloga/predstavitev/dokument.tex
index d829666..265a6a9 100644
--- a/fiz/naloga/predstavitev/dokument.tex
+++ b/fiz/naloga/predstavitev/dokument.tex
@@ -13,7 +13,7 @@
 \usepackage{siunitx}
 \usepackage{multicol}
 \usepackage{tabularcalc}
-\usepackage{amsmath}
+\usepackage{mathtools}
 \usepackage{float}
 \usepackage{tasks}
 \usepackage{environ}
@@ -85,6 +85,7 @@
 \author{Anton Luka Šijanec, 2. a}
 \institute{Gimnazija Bežigrad}
 \date{V sredo, 2. junija 2021}
+\newcommand\vektor{\overrightarrow}
 % \titlegraphic{\includegraphics[width=\textwidth,height=.5\textheight]{img/jangce.jpg}}
 
 % \everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
@@ -127,12 +128,14 @@
 	\framesubtitle{\subsecname}
 	\begin{multicols}{2}
 		\begin{itemize}
+			\item Videokamera za videoanalizo (Canon SX160 IS), 25 sličic na sekundo
 			\item Izstrelilna rampa za vodno raketo
 			\item Pretvornik med navojem za plastenko in priključkom za na vzletno rampo
 			\item Litrska plastenka
 			\item Merilnik tlaka tekočin in plinov
 			\item Aluminijasta vaga/merilna celica (\SI{0}{\kilo\gram}-\SI{5}{\kilo\gram}) in HX711 ADC
 			\item Mikroprocesor ESP8266 in nodemcuv2
+			\item Program Tracker za videoanalizo
 		\end{itemize}
 		\begin{figure}[H]
 			\centering
@@ -155,8 +158,9 @@
 		\end{enumerate}
 		\begin{itemize}
 			\item Pred dotikom rakete z vago ($F_g > F_\alpha$) podatkov o potisku nimamo
-			\item Med dokikom potisk izračunamo s formulo
-				$$F_\alpha = F_m + F_g$$
+			\item Med dotikom potisk izračunamo s formulo
+				$$F_\alpha = \vektor{F_m} + \vektor{F_g}$$
+			\item Vsakič, ko je omenjen tlak ($P$), je mišljena razlika tlaka ($\Delta P$) glede na zunanji tlak.
 		\end{itemize}
 		\begin{figure}[H]
 			\centering
@@ -166,6 +170,69 @@
 	\end{multicols}
 \end{frame}
 
+\section{Izvedba meritev poskusa}
+\subsection{\textit{Konstantne}, \textbf{odvisne} in \texttt{nadzorovane} vrednosti}
+\newcommand\tavg{t_{F_\alpha > F_g}}
+\begin{frame}
+	\frametitle{\secname}
+	\framesubtitle{\subsecname}
+	\begin{multicols}{2}
+		\begin{itemize}
+			\item \textit{masa plastenke}, \textit{kalibracijski delitelj vage}
+			\item \textbf{čas, ko je $F_\alpha > F_g$}, \textbf{maksimalna $F_m$ $\rightarrow$ maksimalna $F_\alpha$}, \textbf{povprečna $F_m$/$F_\alpha$}
+			\item \texttt{začetna količina vode v plastenki ($V_0$): \SI{0,3}{\liter}, \SI{0,6}{\liter} in \SI{0,9}{\liter}}, \texttt{začetni tlak v plastenki ($P_0$): \SI{10}{\kilo\pascal}, \SI{20}{\kilo\pascal}, \SI{30}{\kilo\pascal} in \SI{40}{\kilo\pascal}}
+			\item Grafi, s katerimi bodo prikazane meritve: $F_\alpha(t)$, $F_\alpha(P_0)$, $F_\alpha(V_0)$, $\tavg(V_0)$, $\tavg(P_0)$, $š_{max}(V_0, P_0)$ -- predv. viš.
+			\item Za vsako kombinacijo volumna in pritiska so bile izvedene tri meritve, katerih povprečje se upošteva
+			\item Videoanaliza bo uporabljena za $t_0$ in za $h_\alpha \rightarrow V_\alpha \rightarrow m_\alpha$
+		\end{itemize}
+		\vfill\null\columnbreak
+		\vspace*{-4cm}
+		\begin{figure}[H]
+			\centering
+			\includegraphics[width=0.5\textwidth]{totem.jpg}
+			\caption{Tega teksta se ne vidi}
+		\end{figure}
+	\end{multicols}
+\end{frame}
+
+\subsection{Obdelava pridobljenih podatkov}
+\begin{frame}
+	\frametitle{\secname}
+	\framesubtitle{\subsecname}
+	\begin{multicols}{2}
+		\begin{itemize}
+			\item CSV datoteki: $F_m(t)$ in $h_\alpha(t)$
+			\item Natančnost: $F_m$: \SI{1}{\centi\newton}, $h_\alpha$: \SI{1}{\milli\meter}
+			\item $h_\alpha \rightarrow V_\alpha$:
+		\end{itemize}
+			$$
+				g(x) = \SI{106}{\milli\liter}+(x-\SI{5,5}{\centi\meter})\cdot\pii(\SI{38,197}{\milli\meter})^2
+			$$
+			\[
+				f(x) =
+				\begin{dcases}
+					g(x); & \SI{5,5}{\centi\meter} \leq x \leq \SI{24,5}{\centi\meter} \\
+					x < \SI{106}{\milli\liter}; & x < \SI{5,5}{\centi\meter} \\
+					\SI{947}{\milli\liter} > & \\
+					x > \SI{871}{\milli\liter}; & x > \SI{24,5}{\centi\meter}
+				\end{dcases}
+			\]
+		\begin{itemize}
+			\item $\tavg$: čas, ko je $F_m > \SI{0,5}{\newton}$
+			\item Po obdelavi: \{$F_\alpha$, $V_\alpha$\}($t$) in \{$\tavg$, $\overline{F_\alpha}$, $š_{max}$\}(\{$P_0$, $V_0$\})
+		\end{itemize}
+		\vfill\null\columnbreak
+		\vspace*{-4cm}
+		\begin{figure}[H]
+			\centering
+			\includegraphics[width=0.5\textwidth]{špric.jpg}
+			\caption{Tudi tega teksta se ne vidi}
+		\end{figure}
+	\end{multicols}
+\subsection{Vsebinski}
+
+\end{frame}
+
 \section{Pridobljene meritve}
 \subsection{Tabele}
 \begin{frame}
@@ -179,6 +246,16 @@
 	\framesubtitle{\subsecname}
 \end{frame}
 
+\subsection{Rezultati in komentarji nanje ter ugotovitve}
+\begin{frame}
+	\frametitle{\secname}
+	\begin{multicols}{2}
+		\begin{itemize}
+			\item Obstajajo kombinacije $P_0$ in $V_0$, kjer voda ne bo v celoti izrinjena, ker bo prej $P_\alpha = 0$
+		\end{itemize}
+	\end{multicols}
+\end{frame}
+
 %\section{Teorija}
 %\subsection{Formula \sim}
 %\begin{frame}
@@ -193,17 +270,17 @@
 %\end{frame}
 
 \section{Viri}
-\subsection{Vsebinski}
-\begin{frame}{\secname}{\subsecname}
+\begin{frame}{\secname}
 	\nocite{*}
 	\printbibliography[title={Viri}]
 \end{frame}
 \subsection{Licence slik}
 \begin{frame}{\secname}{\subsecname}
-	\begin{enumerate}
-		\setcounter{enumi}{-1}
-		\item \href{https://xn--jha.ga/raydevlin}{Ray Devlin} \href{https://w.wiki/nbq}{\textit{Wanzhou City Slums}} \ccLogo\ccAttribution\ CC-BY 2.0 Generic (\shortlink{ccby20g})
-	\end{enumerate}
+	\begin{itemize}
+		% \setcounter{enumi}{-1}
+		% \item \href{https://xn--jha.ga/raydevlin}{Ray Devlin} \href{https://w.wiki/nbq}{\textit{Wanzhou City Slums}} \ccLogo\ccAttribution\ CC-BY 2.0 Generic (\shortlink{ccby20g})
+		\item Vse slike so \copyright Anton Luka Šijanec 2021
+	\end{itemize}
 \end{frame}
 \section{Zaključek}
 \begin{frame}{\secname}
diff --git a/fiz/naloga/predstavitev/dokument.toc b/fiz/naloga/predstavitev/dokument.toc
index 1e858fe..f832ee3 100644
--- a/fiz/naloga/predstavitev/dokument.toc
+++ b/fiz/naloga/predstavitev/dokument.toc
@@ -10,20 +10,28 @@
 \defcounter {refsection}{0}\relax 
 \beamer@sectionintoc {3}{Izvedba meritev poskusa}{5}{0}{3}
 \defcounter {refsection}{0}\relax 
-\beamer@sectionintoc {4}{Pridobljene meritve}{6}{0}{4}
+\beamer@sectionintoc {4}{Izvedba meritev poskusa}{6}{0}{4}
 \defcounter {refsection}{0}\relax 
-\beamer@subsectionintoc {4}{1}{Tabele}{6}{0}{4}
+\beamer@subsectionintoc {4}{1}{\textit {Konstantne}, \textbf {odvisne} in \texttt {nadzorovane} vrednosti}{6}{0}{4}
 \defcounter {refsection}{0}\relax 
-\beamer@subsectionintoc {4}{2}{Grafi}{7}{0}{4}
+\beamer@subsectionintoc {4}{2}{Obdelava pridobljenih podatkov}{7}{0}{4}
 \defcounter {refsection}{0}\relax 
-\beamer@sectionintoc {5}{Viri}{8}{0}{5}
+\beamer@subsectionintoc {4}{3}{Vsebinski}{7}{0}{4}
 \defcounter {refsection}{0}\relax 
-\beamer@subsectionintoc {5}{1}{Vsebinski}{8}{0}{5}
+\beamer@sectionintoc {5}{Pridobljene meritve}{8}{0}{5}
+\defcounter {refsection}{0}\relax 
+\beamer@subsectionintoc {5}{1}{Tabele}{8}{0}{5}
+\defcounter {refsection}{0}\relax 
+\beamer@subsectionintoc {5}{2}{Grafi}{9}{0}{5}
+\defcounter {refsection}{0}\relax 
+\beamer@subsectionintoc {5}{3}{Rezultati in komentarji nanje ter ugotovitve}{10}{0}{5}
+\defcounter {refsection}{0}\relax 
+\beamer@sectionintoc {6}{Viri}{11}{0}{6}
 \babel@toc {slovene}{}
 \babel@toc {slovene}{}
 \babel@toc {slovene}{}
 \babel@toc {slovene}{}
 \defcounter {refsection}{0}\relax 
-\beamer@subsectionintoc {6}{1}{Licence slik}{9}{0}{5}
+\beamer@subsectionintoc {7}{1}{Licence slik}{12}{0}{6}
 \defcounter {refsection}{0}\relax 
-\beamer@sectionintoc {7}{Zaključek}{10}{0}{6}
+\beamer@sectionintoc {8}{Zaključek}{13}{0}{7}
diff --git a/fiz/naloga/predstavitev/dozirka.jpg b/fiz/naloga/predstavitev/dozirka.jpg
new file mode 100644
index 0000000..42e5209
Binary files /dev/null and b/fiz/naloga/predstavitev/dozirka.jpg differ
diff --git a/fiz/naloga/predstavitev/kompresor.jpg b/fiz/naloga/predstavitev/kompresor.jpg
new file mode 100644
index 0000000..250338f
Binary files /dev/null and b/fiz/naloga/predstavitev/kompresor.jpg differ
diff --git a/fiz/naloga/predstavitev/stderr.log b/fiz/naloga/predstavitev/stderr.log
index 11b0e9d..675931e 100644
--- a/fiz/naloga/predstavitev/stderr.log
+++ b/fiz/naloga/predstavitev/stderr.log
@@ -1 +1 @@
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+<</Type/XRef/Filter/FlateDecode/ID[<D665C258C3C03AC8C070D0EF60CADAF5><D665C258C3C03AC8C070D0EF60CADAF5>]/Index[ 0 588]/Info 586 0 R/Length 1392/Root 585 0 R/Size 588/W[ 1 3 1]>>
diff --git a/fiz/naloga/predstavitev/stdout.log b/fiz/naloga/predstavitev/stdout.log
index 7663a22..5341d27 100644
--- a/fiz/naloga/predstavitev/stdout.log
+++ b/fiz/naloga/predstavitev/stdout.log
@@ -311,6 +311,9 @@ tex))) (/usr/local/texlive/2021/texmf-dist/tex/latex/tools/array.sty)
 (/usr/local/texlive/2021/texmf-dist/tex/generic/xstring/xstring.tex))
 (/usr/local/texlive/2021/texmf-dist/tex/latex/numprint/numprint.sty
 No configuration file `numprint.cfg' found.))
+(/usr/local/texlive/2021/texmf-dist/tex/latex/mathtools/mathtools.sty
+(/usr/local/texlive/2021/texmf-dist/tex/latex/tools/calc.sty)
+(/usr/local/texlive/2021/texmf-dist/tex/latex/mathtools/mhsetup.sty))
 (/usr/local/texlive/2021/texmf-dist/tex/latex/float/float.sty)
 (/usr/local/texlive/2021/texmf-dist/tex/latex/tasks/tasks.sty
 (/usr/local/texlive/2021/texmf-dist/tex/latex/l3packages/xtemplate/xtemplate.st
@@ -409,7 +412,7 @@ tionary-English.dict)
 Package pgfplots Warning: running in backwards compatibility mode (unsuitable t
 ick labels; missing features). Consider writing \pgfplotsset{compat=1.17} into 
 your preamble.
- on input line 91.
+ on input line 92.
 
 
 (/usr/local/texlive/2021/texmf-dist/tex/latex/siunitx/siunitx-abbreviations.cfg
@@ -426,15 +429,67 @@ Package biblatex Warning: File 'slovene-iso.lbx' not found!
 (/usr/local/texlive/2021/texmf-dist/tex/latex/sansmathaccent/ot1mathkerncmss.fd
 ) [1{/usr/local/texlive/2021/texmf-var/fonts/map/pdftex/updmap/pdftex.map}]
 (./dokument.toc) [2]
-Overfull \hbox (5.0pt too wide) in paragraph at lines 121--121
+Overfull \hbox (5.0pt too wide) in paragraph at lines 122--122
  [] 
 [3 <../tekst/img-tracked/navoji.jpg>]
-Overfull \hbox (5.0pt too wide) in paragraph at lines 143--143
+Overfull \hbox (5.0pt too wide) in paragraph at lines 146--146
  [] 
 [4 <./merilniki.jpg>]
-Overfull \hbox (5.0pt too wide) in paragraph at lines 167--167
+Overfull \hbox (5.0pt too wide) in paragraph at lines 171--171
  [] 
-[5 <../tekst/img-tracked/rampa.jpg>] [6] [7]
+[5 <../tekst/img-tracked/rampa.jpg>]
+
+LaTeX Warning: Command \v invalid in math mode on input line 196.
+
+! Please use \mathaccent for accents in math mode.
+\add@accent ... \let \ignorespaces \relax \accent 
+                                                  #1 #2\egroup \spacefactor ...
+l.196 \end{frame}
+                 
+! You can't use `\spacefactor' in math mode.
+\add@accent ... \accent #1 #2\egroup \spacefactor 
+                                                  \accent@spacefactor 
+l.196 \end{frame}
+                 
+
+Overfull \hbox (5.0pt too wide) in paragraph at lines 196--196
+ [] 
+
+Overfull \vbox (57.14857pt too high) detected at line 196
+[6 <./totem.jpg>]
+! Undefined control sequence.
+\beamer@doifinframe ...\centi \meter })\cdot \pii 
+                                                  (\SI {38,197}{\milli \mete...
+l.234 \end{frame}
+                 
+
+Overfull \hbox (1.17192pt too wide) detected at line 234
+\OT1/mathkerncmss/m/sl/10.95 f\OT1/cmss/m/n/10.95 (\OT1/mathkerncmss/m/sl/10.95
+ x\OT1/cmss/m/n/10.95 ) = []
+
+LaTeX Font Warning: Font shape `OMS/cmss/m/n' undefined
+(Font)              using `OMS/cmsy/m/n' instead
+(Font)              for symbol `textbraceleft' on input line 234.
+
+
+LaTeX Warning: Command \v invalid in math mode on input line 234.
+
+! Please use \mathaccent for accents in math mode.
+\add@accent ... \let \ignorespaces \relax \accent 
+                                                  #1 #2\egroup \spacefactor ...
+l.234 \end{frame}
+                 
+! You can't use `\spacefactor' in math mode.
+\add@accent ... \accent #1 #2\egroup \spacefactor 
+                                                  \accent@spacefactor 
+l.234 \end{frame}
+                 
+
+Overfull \hbox (5.0pt too wide) in paragraph at lines 234--234
+ [] 
+
+Overfull \vbox (60.63068pt too high) detected at line 234
+[7 <./špric.jpg>] [8] [9] [10]
 
 Package biblatex Warning: '\mainlang' is deprecated in favour of
 (biblatex)                '\textmainlang'.
@@ -442,21 +497,32 @@ Package biblatex Warning: '\mainlang' is deprecated in favour of
 (biblatex)                but note that the syntax is different.
 (biblatex)                Using the old, problematic definition.
 
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+[11 </usr/local/texlive/2021/texmf-dist/tex/latex/beamer/beamericonarticle.pdf>
+] (/usr/local/texlive/2021/texmf-dist/tex/latex/base/ts1cmss.fd) [12] [13]
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