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#LyX 2.3 created this file. For more info see http://www.lyx.org/
\lyxformat 544
\begin_document
\begin_header
\save_transient_properties true
\origin unavailable
\textclass article
\begin_preamble
\usepackage{siunitx}
\usepackage{pgfplots}
\usepackage{listings}
\usepackage{multicol}
\sisetup{output-decimal-marker = {,}, quotient-mode=fraction, output-exponent-marker=\ensuremath{\mathrm{3}}}
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\cite_engine basic
\cite_engine_type default
\biblio_style plain
\use_bibtopic false
\use_indices false
\paperorientation portrait
\suppress_date false
\justification false
\use_refstyle 1
\use_minted 0
\index Index
\shortcut idx
\color #008000
\end_index
\leftmargin 1cm
\topmargin 2cm
\rightmargin 1cm
\bottommargin 2cm
\headheight 1cm
\headsep 1cm
\footskip 1cm
\secnumdepth 3
\tocdepth 3
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\paperpagestyle default
\tracking_changes false
\output_changes false
\html_math_output 0
\html_css_as_file 0
\html_be_strict false
\end_header

\begin_body

\begin_layout Title
Preslikave s konveksno lečo
\end_layout

\begin_layout Author

\noun on
Anton Luka Šijanec
\end_layout

\begin_layout Date
20.
 marec 2023
\end_layout

\begin_layout Abstract
Grafi in rezultati devete vaje pri predmetu 
\noun on
F41
\noun default
 na Gimnaziji Bežigrad v 4.
 letniku.
\end_layout

\begin_layout Section*
Podatki in grafi
\end_layout

\begin_layout Standard
Izmerjena goriščna razdalja leče v prvi nalogi je 
\begin_inset Formula $\SI{0,053}{\meter}$
\end_inset

, v drugi nalogi pa
\begin_inset Formula 
\[
f=\SI{0,0511438}{\meter}\pm\SI{0,001356}{\meter}=\SI{0,0511438}{\meter}(1\pm0,026513477684489615)\text{{.}}
\]

\end_inset


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placement H
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sideways false
status open

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\lang english
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Št.
 meritve
\end_layout

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\end_layout

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\end_inset


\end_layout

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Izmerjeni podatki
\end_layout

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placement H
wide false
sideways false
status open

\begin_layout Plain Layout
\align center
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status open

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begin{tikzpicture}
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begin{axis}[width=0.75
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textwidth, scale only axis, ylabel=$b$, domain=0:.4, ytick pos=left, samples=256,
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, major grid style={dashed,blue}]
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addplot[only marks] table [x=a, y=b, col sep=comma] {podatki.csv};
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addlegendentry{meritve}
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addplot[blue] (x, {1/(1/0.0511438-1/x)});
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addlegendentry{$b=(f^{-1}-a^{-1})^{-1}$}
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% 
\backslash
addplot[mark=square*, blue, only marks] table [x=u, y=i, col sep=comma]
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%
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addlegendentry{}
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 {3.csv};
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%
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addlegendentry{vzporedno}
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addplot[blue] (x, {x*5.38536});
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]
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\backslash
addplot[mark=triangle*, red, only marks] table [x=1/a, y=1/b, col sep=comma]
 {podatki.csv};
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addlegendentry{meritve}
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addplot[red] (x, {1/0.0511438-x});
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addlegendentry{$b^{-1}=f^{-1}-a^{-1}$}
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\begin_layout Plain Layout
\begin_inset CommandInset label
LatexCommand label
name "fig:graf-1"

\end_inset


\begin_inset Formula $b(a)$
\end_inset

 in 
\begin_inset Formula $b^{-1}(a^{-1})$
\end_inset


\end_layout

\end_inset


\end_layout

\end_inset


\end_layout

\begin_layout Standard
\begin_inset Formula $f$
\end_inset

 je obratna vrednost neničelne komponente točke presečišča med bodisi ordinatno
 bodisi abscisno osjo in premico 
\begin_inset Formula $b^{-1}=f^{-1}-a^{-1}$
\end_inset

.
 Kakršno koli odčitavanje iz strojno generiranega grafa ni smiselno, saj
 je bila 
\begin_inset Formula $f^{-1}$
\end_inset

 v osnovi uporabljena za konstruiranje premice.
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