preamble.sty

\ProvidesPackage{preamble}
\usepackage{caption}
\usepackage{subcaption}
\usepackage{wrapfig}
\usepackage{amsmath}
\usepackage{amssymb}
\usepackage{physics}
\usepackage{siunitx}
\usepackage{float}
\usepackage{scalerel}
\usepackage{ltxtable}
\usepackage{multicol}
\usepackage{booktabs}
\usepackage{filecontents}
\usepackage{mathtools}
\usepackage{ltxtable}
\usepackage{tikz}
\usepackage{array}
\usepackage{fancyhdr}
\usepackage{pgfplots}
\usepackage{mhchem}
\newcommand{\defined}{\overset{\underset{\mathrm{def}}{}}{=}}
\DeclareMathOperator{\di}{d\!}
\newcommand*\Eval[3]{\left.#1\right\rvert_{#2}^{#3}}
\usepackage{amsthm}
\usepackage{stackengine}
\newcommand\momentL[1]{\stackengine{-.3ex}{#1}{\CAL}{0}{c}{F}{F}{L}}
\newcommand\CAL{\scalebox{2}{\rotatebox[origin=center]{90}{$\circlearrowleft$}}}
\newcommand\momentR[1]{\stackengine{-.3ex}{#1}{\CAR}{0}{c}{F}{F}{L}}
\newcommand\CAR{\scalebox{2}{\rotatebox[origin=center]{90}{$\circlearrowright$}}}
\stackMath
\sisetup{range-phrase=-,range-units=single}

\usepgfplotslibrary{fillbetween}
\usetikzlibrary{patterns}
\pgfplotsset{height=10cm,width=10cm,compat=1.14}
\usetikzlibrary{circuits.ee.IEC}


\tikzset{circuit declare symbol = ac current source}
\tikzset{
          ac current source IEC graphic/.style={
            circuit symbol lines,
            circuit symbol size = width 2 height 2,
            shape = generic circle IEC,
            /pgf/generic circle IEC/before background={
              \pgfpathmoveto{\pgfpoint{-0.8pt}{0pt}}
              \pgfpathsine{\pgfpoint{0.4pt}{0.4pt}}
              \pgfpathcosine{\pgfpoint{0.4pt}{-0.4pt}}
              \pgfpathsine{\pgfpoint{0.4pt}{-0.4pt}}
              \pgfpathcosine{\pgfpoint{0.4pt}{0.4pt}}
              \pgfusepath{stroke}
            },
            transform shape
          }
}

\newcommand{\R}{\mathbb{R}}
\newcommand{\Q}{\mathbb{Q}}
\newcommand{\Z}{\mathbb{Z}}
\newcommand{\N}{\mathbb{N}}
\newcommand{\C}{\mathbb{C}}
\newcommand{\cis}{\mathrm{cis}}
\newcommand{\vi}{\vec{\imath}}
\newcommand{\vj}{\vec{\jmath}}
\newcommand{\vk}{\vec{k}}

\DeclarePairedDelimiter\ceil{\lceil}{\rceil}
\DeclarePairedDelimiter\floor{\lfloor}{\rfloor}

\newcolumntype{L}[1]{>{\raggedright\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
\newcolumntype{C}[1]{>{\centering\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}
\newcolumntype{R}[1]{>{\raggedleft\let\newline\\\arraybackslash\hspace{0pt}}m{#1}}

\usepackage[framed, numbered]{matlab-prettifier}
\usepackage{fancyhdr}
\usepackage{amsthm}
\usepackage{pgfplotstable}
\usepackage[]{graphics}
\DeclareMathOperator{\sinc}{sinc}
\DeclareMathOperator{\cosc}{cosc}

\usetikzlibrary{decorations.pathreplacing,decorations.markings}
\tikzset{
  % style to apply some styles to each segment of a path
  on each segment/.style={
    decorate,
    decoration={
      show path construction,
      moveto code={},
      lineto code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
      curveto code={
        \path [#1] (\tikzinputsegmentfirst)
        .. controls
        (\tikzinputsegmentsupporta) and (\tikzinputsegmentsupportb)
        ..
        (\tikzinputsegmentlast);
      },
      closepath code={
        \path [#1]
        (\tikzinputsegmentfirst) -- (\tikzinputsegmentlast);
      },
    },
  },
  % style to add an arrow in the middle of a path
  mid arrow/.style={postaction={decorate,decoration={
        markings,
        mark=at position .5 with {\arrow[#1]{stealth}}
      }}},
}

\DeclareSIUnit\grates{grates}
\newcommand{\defi}{\overset{\underset{\mathrm{def}}{}}{=}}


\newcommand{\findmax}[1]{
    \pgfplotsforeachungrouped \table in {#1} {%
        \pgfplotstablevertcat{\concatenated}{\table}%
    }%
    \pgfplotstablesort[sort key={1},sort cmp={float >}]{\sorted}{\concatenated}%
    \pgfplotstablegetelem{0}{1}\of{\sorted}%
    \let\ymax=\pgfplotsretval%
}

\newcommand{\findmin}[1]{
    \pgfplotsforeachungrouped \table in {#1} {%
        \pgfplotstablevertcat{\concatenated}{\table}%
    }%
    \pgfplotstablesort[sort key={1},sort cmp={float <}]{\sorted}{\concatenated}%
    \pgfplotstablegetelem{0}{1}\of{\sorted}%
    \let\ymin=\pgfplotsretval%
}

\makeatletter \renewcommand\d[1]{\ensuremath{%
  \;\mathrm{d}#1\@ifnextchar\d{\!}{}}}
\makeatother

\colorlet{Tangent}{blue!75!black}
\usetikzlibrary{
        calc,
        intersections,
        math,
    }
    

\newenvironment{polynomial}
  {\par\vspace{\abovedisplayskip}%
   \setlength{\leftskip}{\parindent}%
   \setlength{\rightskip}{\leftskip}%
   \medmuskip=4mu plus 2mu minus 2mu
   \binoppenalty=0
   \noindent$\displaystyle}
  {$\par\vspace{\belowdisplayskip}}

\usepackage{hyperref}
\makeatletter
\newcommand\appendix@section[1]{%
  \refstepcounter{section}%
  \orig@section*{Appendix \@Alph\c@section: #1}%
  \addcontentsline{toc}{section}{Appendix \@Alph\c@section: #1}%
}
\let\orig@section\section
\g@addto@macro\appendix{\let\section\appendix@section}
\makeatother