% if this causes a compilation error, check that none of the units have been redefined

% Put quantites here that are referenced often, even if they are not exciting themselves.
% This could later allow making a list of all links to this quantity, creating a list of releveant formulas

\Section[
    \eng{Physical quantities}
    \ger{Physikalische Größen}
]{quantities}

\Subsection[
    \eng{SI quantities}
    \ger{SI-Basisgrößen}
]{si}
    \begin{formula}{time}
        \desc{Time}{}{}
        \desc[german]{Zeit}{}{}
        \quantity{t}{\second}{}
    \end{formula}

    \begin{formula}{length}
        \desc{Length}{}{}
        \desc[german]{Länge}{}{}
        \quantity{l}{\m}{e}
    \end{formula}

    \begin{formula}{mass}
        \desc{Mass}{}{}
        \desc[german]{Masse}{}{}
        \quantity{m}{\kg}{es}
    \end{formula}

    \begin{formula}{temperature}
        \desc{Temperature}{}{}
        \desc[german]{Temperatur}{}{}
        \quantity{T}{\kelvin}{is}
    \end{formula}

    \begin{formula}{current}
        \desc{Electric current}{}{}
        \desc[german]{Elektrischer Strom}{}{}
        \quantity{I}{\ampere}{es}
    \end{formula}

    \begin{formula}{amount}
        \desc{Amount of substance}{}{}
        \desc[german]{Stoffmenge}{}{}
        \quantity{n}{\mol}{es}
    \end{formula}

    \begin{formula}{luminous_intensity}
        \desc{Luminous intensity}{}{}
        \desc[german]{Lichtstärke}{}{}
        \quantity{I_\text{V}}{\candela}{s}
    \end{formula}

\Subsection[
    \eng{Mechanics}
    \ger{Mechanik}
]{mech}
    \begin{formula}{force}
        \desc{Force}{}{}
        \desc[german]{Kraft}{}{}
        \quantity{\vec{F}}{\newton=\kg\m\per\second^2}{ev}
    \end{formula}

    \begin{formula}{spring_constant}
        \desc{Spring constant}{}{}
        \desc[german]{Federkonstante}{}{}
        \quantity{k}{\newton\per\m=\kg\per\second^2}{s}
    \end{formula}

    \begin{formula}{velocity}
        \desc{Velocity}{}{}
        \desc[german]{Geschwindigkeit}{}{}
        \quantity{\vec{v}}{\m\per\s}{v}
    \end{formula}

    \begin{formula}{torque}
        \desc{Torque}{}{}
        \desc[german]{Drehmoment}{}{}
        \quantity{\tau}{\newton\m=\kg\m^2\per\s^2}{v}
    \end{formula}

    \begin{formula}{pressure}
        \desc{Pressure}{}{}
        \desc[german]{Druck}{}{}
        \quantity{p}{\newton\per\m^2}{}
    \end{formula}
    

\Subsection[
    \eng{Thermodynamics}
    \ger{Thermodynamik}
]{td}
    \begin{formula}{volume}
        \desc{Volume}{$d$ dimensional Volume}{}
        \desc[german]{Volumen}{$d$ dimensionales Volumen}{}
        \quantity{V}{\m^d}{}
    \end{formula}
    \begin{formula}{heat_capacity}
        \desc{Heat capacity}{}{}
        \desc[german]{Wärmekapazität}{}{}
        \quantity{C}{\joule\per\kelvin}{}
    \end{formula}

\Subsection[
    \eng{Electrodynamics}
    \ger{Elektrodynamik}
]{el}
    \begin{formula}{charge}
        \desc{Charge}{}{}
        \desc[german]{Ladung}{}{}
        \quantity{q}{\coulomb=\ampere\s}{}
    \end{formula}

    \begin{formula}{charge_number}
        \desc{Charge number}{}{}
        \desc[german]{Ladungszahl}{Anzahl der Elementarladungen}{}
        \quantity{Z}{}{}
    \end{formula}
    \begin{formula}{charge_density}
        \desc{Charge density}{}{}
        \desc[german]{Ladungsdichte}{}{}
        \quantity{\rho}{\coulomb\per\m^3}{s}
    \end{formula}

    \begin{formula}{frequency}
        \desc{Frequency}{}{}
        \desc[german]{Frequenz}{}{}
        \quantity{f}{\hertz=\per\s}{s}
    \end{formula}
    \begin{formula}{angular_frequency}
        \desc{Angular frequency}{}{\QtyRef{time_period}, \QtyRef{frequency}}
        \desc[german]{Kreisfrequenz}{}{}
        \quantity{\omega}{\radian\per\s}{s}
        \eq{\omega = \frac{2\pi/T}{2\pi f}}
    \end{formula}

    \begin{formula}{time_period}
        \desc{Time period}{}{\QtyRef{frequency}}
        \desc[german]{Periodendauer}{}{}
        \quantity{T}{\s}{s}
        \eq{T = \frac{1}{f}}
    \end{formula}

    \begin{formula}{conductivity}
        \desc{Conductivity}{}{}
        \desc[german]{Leitfähigkeit}{}{}
        \quantity{\sigma}{\per\ohm\m}{}
    \end{formula}

\Subsection[
    \eng{Others}
    \ger{Sonstige}
]{other}
    \begin{formula}{area}
        \desc{Area}{}{}
        \desc[german]{Fläche}{}{}
        \quantity{A}{m^2}{v}
    \end{formula}
