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-rw-r--r--mat/domace_naloge/29/dokument.aux35
-rw-r--r--mat/domace_naloge/29/dokument.log1928
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-rw-r--r--mat/domace_naloge/29/dokument.tex221
-rw-r--r--mat/domace_naloge/29/stderr.log1
-rw-r--r--mat/domace_naloge/29/stdout.log915
-rw-r--r--nem/delo/0204/dokument.md26
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+% !TeX encoding = UTF-8
+% !TeX spellcheck = sl_SI
+% do-vimlatex-onwrite
+\documentclass[]{article}
+\usepackage[utf8]{inputenc}
+\usepackage{etoolbox}
+\usepackage[hidelinks]{hyperref}
+\usepackage{xurl} % da breaka url
+\usepackage[a4paper, total={7in, 10in}]{geometry}
+\usepackage{graphicx}
+\usepackage{hologo}
+\usepackage{amssymb}
+\usepackage{calculator}
+\usepackage{pgfplots}
+\usepackage[inline]{enumitem}
+\usepackage{siunitx}
+\usepackage{multicol}
+\usepackage{tabularcalc}
+\usepackage{amsmath}
+\usepackage{float}
+\usepackage{tasks}
+\usepackage{filecontents}
+\usepackage{textcomp}
+\usepackage{tkz-euclide}
+\usepackage{dirtytalk}
+\usepackage{csquotes}
+\usepackage{listings}
+\usepackage{datetime} % [ddMMyyyy]
+\usepackage{ccicons}
+\usepackage{chemformula}
+\usepackage{gensymb}
+\usepackage[normalem]{ulem}
+\usepackage[slovene]{babel}
+\usepackage{cancel}
+\usepackage{tabularx}
+\usepackage{xcolor}
+\usepackage{colortbl}
+\usepackage{exsheets}
+\usepackage{harpoon}
+\usepackage{readarray}
+\usepackage{forloop}
+\usepackage[nomessages]{fp}
+\usepackage{multirow}
+\newcolumntype{Y}{>{\centering\arraybackslash}X}
+% \usepackage{multienum} % weird with labels
+\usetikzlibrary{calc} %% not really needed............. idk.
+%\usetikzlibrary{external}
+% \usetkzobj{all} % tkz-euclide > 3.02 tega ne potrebuje več (:
+%\tikzexternalize
+\sisetup{output-decimal-marker = {,}, quotient-mode=fraction,per-mode=fraction} % per-mode=symbol
+\newcommand\ddfrac[2]{\frac{\displaystyle #1}{\displaystyle #2}}
+\newcommand{\functionSamples}{100} % fix to fancier value upon release, keep low during development
+\newcommand{\razhroscevanje}{1}
+\definecolor{codegreen}{rgb}{0,0.6,0}
+\definecolor{codered}{rgb}{1,0,0}
+\definecolor{codegray}{rgb}{0.5,0.5,0.5}
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+\definecolor{backcolour}{rgb}{0.95,0.95,0.92}
+\renewcommand{\dateseparator}{. }
+\settimeformat{hhmmsstime}
+\lstdefinestyle{mystyle}{
+ backgroundcolor=\color{backcolour},
+ commentstyle=\color{codegreen},
+ keywordstyle=\color{magenta},
+ numberstyle=\tiny\color{codegray},
+ stringstyle=\color{codepurple},
+ basicstyle=\ttfamily\footnotesize,
+ breakatwhitespace=false,
+ breaklines=true,
+ captionpos=b,
+ keepspaces=true,
+ numbers=left,
+ numbersep=5pt,
+ showspaces=false,
+ showstringspaces=false,
+ showtabs=false,
+ tabsize=2
+}
+\lstset{style=mystyle}
+\def\@maketitle{%
+ \newpage
+ \null
+ \vskip 2em%
+ \begin{center}%
+ \let \footnote \thanks
+ {\LARGE \@title \par}%
+ \vskip 1.5em%
+ {\large
+ \lineskip .5em%
+ \begin{tabular}[t]{c}% <------
+ \@author% <------ Authors
+ \end{tabular}\par}% <------
+ \vskip 1em%
+ {\large \@date}%
+ \end{center}%
+ \par
+ \vskip 1.5em}
+%opening
+\newcommand{\snovdn}{Koreni poljubnih stopenj }
+\newcommand{\predmdn}{mat}
+\newcommand{\predmkaj}{domace\_naloge}
+\newcommand{\stevilkadn}{29}
+\newcommand{\cm}[1]{\SI{#1}{\centi\meter}}
+\newcommand{\kmh}[1]{\SI{#1}{\kilo\meter\per\hour}}
+\makeatletter
+\newcommand{\xslalph}[1]{\expandafter\@xslalph\csname c@#1\endcsname}
+\newcommand{\@xslalph}[1]{%
+ \ifcase#1\or a\or b\or c\or \v{c}\or d\or e\or f\or g\or h\or i%
+ \or j\or k\or l\or m\or n\or o\or p\or r\or s\or \v{s}%
+ \or t\or u\or v\or z\or \v{z}
+ \else\@ctrerr\fi%
+}
+\AddEnumerateCounter{\xslalph}{\@xslalph}{m}
+\makeatother
+\newcommand\gauss[2]{1/(#2*sqrt(2*pi))*exp(-((x-#1)^2)/(2*#2^2))} % Gauss function, parameters mu and sigma
+\newcommand*\textfrac[2]{
+ \frac{\text{#1}}{\text{#2}}
+}
+\NewTasks[counter-format=\xslalph*),label-format=\bfseries]{primerTasks}(3)
+\newcommand\vektor{\overrightarrow}
+\newcommand{\iic}{I\textsuperscript{2}C }
+\title{%
+ \snovdn --- \stevilkadn. domača naloga
+ \\
+ \large Matematika, Gimnazija Bežigrad}
+\author{\begin{tabular}{rl}
+ \textbf{Profesor:} & prof. Vilko Domajnko \\
+ \textbf{Avtor:} & Anton Luka Šijanec, 2. a
+% \textbf{Avtor:} & Anton Luka Šijanec \\ & Member 2 \\ & Member 3
+\end{tabular}}
+\newcommand\hcancel[2][black]{\setbox0=\hbox{$0#2$}%
+\rlap{\raisebox{.45\ht0}{\textcolor{#1}{\rule{\wd0}{1pt}}}}#2}
+\everymath{\displaystyle} % https://tex.stackexchange.com/a/32847/212260
+\begin{document}
+\maketitle
+\begin{abstract}
+Ta dokument vsebuje navodila in rešitve domače naloge snovi \textit{\snovdn}pri matematiki, ki sem jih spisal sam.
+Kjer je bilo potrebno izbrati neke poljubne naloge, sem jih vedno izbiral naključno.
+\end{abstract}
+\paragraph{Navodilo naloge} \textbf{listi}: \textit{Koreni poljubnih stopenj} / 1, ... 10 (izberi tri sode in tri lihe, povsod po en primer)
+%\tableofcontents
+\begin{enumerate}[label=\textbf{\arabic*.}]
+ \item Izračunaj brez pomoči kalkulatorja:
+ \begin{enumerate}[label=\textbf{\xslalph*})]
+ \setcounter{enumii}{1}
+ \item $$\sqrt[3]{12,5\cdot10^{-5}}=\sqrt[3]{\frac{25}{2}\cdot\frac{1}{10^5}}=\sqrt[3]{\frac{1}{8000}}=\frac{1}{20}$$
+ \end{enumerate}
+ \setcounter{enumi}{2}
+ \item Izračunaj in poenostavi:
+ \begin{enumerate}[label=\textbf{\xslalph*})]
+ \setcounter{enumii}{4}
+ \item $$a\cdot\frac{\left(\sqrt[4]{a}+\sqrt[4]{b}\right)^2+\left(\sqrt[4]{a}-\sqrt[4]{b}\right)^2}{a+\sqrt{ab}}
+ =a\cdot\frac{\sqrt{a}+2\sqrt[4]{ab}+\sqrt{b}+\sqrt{a}-2\sqrt[4]{ab}+\sqrt{b}}{\sqrt{a}\left(\sqrt{a}+\sqrt{b}\right)}
+ =a\cdot\frac{2\left(\sqrt{a}+\sqrt{b}\right)}{\sqrt{a}\left(\sqrt{a}+\sqrt{b}\right)}=$$$$=\frac{a2}{\sqrt{2}}=2\sqrt{a}$$
+ \end{enumerate}
+ \item Poenostavi:
+ \begin{enumerate}[label=\textbf{\xslalph*})]
+ \setcounter{enumii}{7}
+ \item $$\frac{\sqrt[3]{x^2\cdot\sqrt[4]{xy^3}}}{\sqrt{x\sqrt{xy}}}
+ =\frac{\sqrt[3]{\sqrt[4]{x^2^4\cdot xy^3}}}{\sqrt{\sqrt{x^2\cdot xy}}}
+ =\frac{\sqrt[3]{\sqrt[4]{x^9y^3}}}{\sqrt{\sqrt{x^3y}}}
+ =\frac{\sqrt[12]{\left(x^3y\right)^3}}{\sqrt{\sqrt{x^3y}}}
+ =\frac{\sqrt[4]{x^3y}}{\sqrt[4]{x^3y}}
+ =1$$
+ \end{enumerate}
+ \setcounter{enumi}{7}
+ \item Zaprta kvadratna škatla z merami $\SI{6}{\deci\meter}\times\SI{9}{\deci\meter}\times\SI{30}{\deci\meter}$ ima enako površino kot kocka. Izračunaj dolžino kockinega roba (do milimetra natančno).
+ $$
+ \sqrt{
+ \frac{
+ 2\left(\SI{30}{\deci\meter}\cdot\SI{6}{\deci\meter}\right)+
+ 2\left(\SI{6}{\deci\meter}\cdot\SI{9}{\deci\meter}\right)+
+ 2\left(\SI{9}{\deci\meter}\cdot\SI{30}{\deci\meter}\right)
+ }{6}
+ }
+ =\sqrt{\frac{\SI{1008}{\deci\meter\squared}}{6}}=\sqrt{\SI{168}{\deci\meter\squared}}=\SI{12,961481}{\deci\meter}
+ $$
+ \item \begin{enumerate}[label=\textbf{\xslalph*})]
+ \setcounter{enumii}{1}
+ \item Za koliko se mora povečati stranica kocke, da se bo njena prostornina s tem povečala za četrtino (prejšnje vrednosti)?
+ $$
+ \left(n+x\right)^2=x^2\cdot\frac{5}{4} \rightarrow n+x=\frac{\sqrt{5}x}{2} \rightarrow n=\frac{\sqrt{5}x}{2}-x
+ $$
+ \end{enumerate}
+ \item \begin{enumerate}[label=\textbf{\xslalph*})]
+ \setcounter{enumii}{1}
+ \item V veliki steklenici je 10 litrov vina. Iz nje izlijemo $x$ litrov vina in nato dolijemo $x$ litrov vode. Zatem ponovno izlijemo iz steklenice $x$ litrov te mešanice in za \say{nadomestek} spet dolijemo $x$ litrov vode. In zatem še enkrat tako. Tedaj je v sodu 5 litrov vina in 5 litrov vode. Izračuaj $x$. \small{\textit{Moj dedek v orehovi lupinici.}}
+ \def\de{\left(1-x\right)-x\left(\frac{1-x}{1}\right)}
+ $$
+ \left(\de\right)-x\frac{\de}{1}=\frac{1}{2}=1-x-x\left(1-x\right)-x\left(1-x-x\left(1-x\right)\right)=-x^3+3x^2-3x+1=
+ $$
+ $$
+ =-\left(x^3-1\right)+3x\left(x-1\right)=-\left(x-1\right)\cdot\left(x^2+x+1\right)+3x\left(x-1\right)
+ =-\left(x-1\right)\cdot\left(x^2+x+1-3x\right)=
+ $$
+ $$
+ -\left(x-1\right)\cdot\left(x^2-2x+1\right)=-\left(x-1\right)\cdot\left(x-1\right)^2=-\left(x-1\right)^3=\frac{1}{2}
+ \rightarrow \left(x-1\right)^3=\frac{-1}{2} \rightarrow x=-\frac{\sqrt[3]{4}}{2}+1
+ $$
+ Sedaj pa $x$ za pravilno vrednost še pomnožimo z 10 in dobimo $2,05299$, torej je, ker smo prej namesto \SI{10}{\liter} uporabili 1, rezultat \SI{2,05299}{\liter}.
+ \end{enumerate}
+\end{enumerate}
+\section{Zaključek}
+Ta dokument je informativne narave in se lahko še spreminja. Najnovejša različica, torej PDFji in
+\hologo{LaTeX}\footnote{Za izdelavo dokumenta potrebujete \texttt{TeXLive 2020}.}
+izvorna koda, zgodovina sprememb in prejšnje različice, je na voljo v mojem šolskem Git repozitoriju na
+\url{https://git.sijanec.eu/sijanec/sola-gimb-2} v mapi
+\href{https://git.sijanec/sola-gimb-2/src/branch/master/\predmdn/\predmkaj/\stevilkadn/}{/\predmdn/\predmkaj/\stevilkadn/}. Povezava za ogled zadnje različice tega dokumenta v PDF obliki je \url{http://razor.arnes.si/~asija3/files/sola/gimb/2/\predmdn/\predmkaj/\stevilkadn/dokument.pdf} in/ali \url{https://git.sijanec.eu/sijanec/sola-gimb-2/raw/branch/master/\predmdn/\predmkaj/\stevilkadn/dokument.pdf}.
+\if\razhroscevanje1
+\vfill
+\section*{Razhroščevalne informacije}
+Te informacije so generirane, ker je omogočeno razhroščevanje. Pred objavo dokumenta izklopite razhroščevanje. To naredite tako, da nastavite ukaz \texttt{razhroscevanje} na 0 v začetku dokumenta.
+
+Grafi imajo natančnost \functionSamples\space točk na graf.
+
+Konec generiranja dokumenta: \today\ ob \currenttime\footnote{To ne nakazuje dejanskega časa, ko je bil dokument napisan, temveč čas, ko je bi dokument generiran v PDF/DVI obliko. Isto velja za datum v glavi dokumenta. Če berete direktno iz LaTeX datoteke, bo to vedno današnji datum.}%\input|"date -Ins"
+
+Dokument se je generiral R0qK1KR2 \SI{}{\second}.
+\fi
+% \item $$$$ aaasecgeninsaaa R0qK1KR2
+\end{document}
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diff --git a/nem/delo/0204/dokument.md b/nem/delo/0204/dokument.md
new file mode 100644
index 0000000..4b26984
--- /dev/null
+++ b/nem/delo/0204/dokument.md
@@ -0,0 +1,26 @@
+* Frohe Ostern! - vesela velika noč
+* veliki prazniki v Nemčiji so brez člena
+* zu/an Ostern
+* Weihnachten, Pfingsten (binkošti)
+* zu/an Weihnachten
+* der Palmsonntag - "Cvétna nedelja" Sonntag vor Ostern
+* der Gründonnerstag
+* der Karfreitag - schon ein feiertag - "veliki petek"
+* der Ostersamstag
+* der Ostersonntag
+* der Ostermontag
+* weinen - jokati
+* die Soße (-n) - omaka
+* manchen - nekateri
+* fasten - post | die Kristen darf kein Fleisch essen
+* das Fasten
+* Ostern ist immer am ersten Sonntag nach dem ersten Vollmond im Frühling
+* heutzutage - dandanašnji
+* Schokoladenostereier
+* die Fastenzeit dauert 40 Tage. Es ist verboten Eier und Fleisch zu essen.
+* unterschieden - razlikovati
+* färben / anmahlen die Eier
+* verstecken - skriti
+* der Kaninchen und Eier sind Symbole für der Frühling, neuen Anfang und leben.
+* der Esel - osel
+* der Han - petelin
diff --git a/nem/delo/3003/dokument.md b/nem/delo/3003/dokument.md
new file mode 100644
index 0000000..9e72a36
--- /dev/null
+++ b/nem/delo/3003/dokument.md
@@ -0,0 +1,26 @@
+* Ich habe mich ausgezogen.
+* Ich bin ausgezogen.
+* das Gesicht.
+* waschen - gewaschen
+* angezogen
+* zubereiten das Frühstück
+* sitzen gegessen
+* setzen gesetzt
+* sich setzen
+* Ich habe nich auf den Stuhl gesetzt.
+* auswählen
+* ausgewählt
+* unterwegs sein
+* graußen
+* drinnen
+* Warun sollen wir im Alltag die Apps benutzen?
+* - weil sie uns bei der Organization des Alltags helfen
+* Wir organisieren uns besser
+* Termine im Alltag zu plannen
+* helfen + zu Infinitiv
+* planen parken
+* Wir bekommen Information über die Fahrpläne von Busssen und U-Bahnen.
+* die Apps (-s)
+* viele Apps helfen im Alltag
+* Nut defr A..... z v o n i
+* dz:44/1, 45/1.5
diff --git a/nem/dsd/3/dokument.md b/nem/dsd/3/dokument.md
new file mode 100644
index 0000000..3d4d3f0
--- /dev/null
+++ b/nem/dsd/3/dokument.md
@@ -0,0 +1,4 @@
+* Nordamerika, Südamerika
+* Die Wanderung
+* der Sonnenaufgang
+* der Feiertag
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