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|
% \iffalse meta-comment
%
% Copyright (C) 2021 by Miguel R. Clemente <miguel.clemente@dem.uc.pt>
% ---------------------------------------------------------------------------
% This work may be distributed and/or modified under the
% conditions of the LaTeX Project Public License, either version 1.3
% of this license or (at your option) any later version.
% The latest version of this license is in
% http://www.latex-project.org/lppl.txt
% and version 1.3 or later is part of all distributions of LaTeX
% version 2005/12/01 or later.
%
% This work has the LPPL maintenance status `maintained'.
%
% The Current Maintainer of this work is Miguel R. Clemente.
%
% This work consists of the files dimnum.dtx and dimnum.ins
% and the derived filebase dimnum.sty.
%
% \fi
%
% \iffalse
%<*driver>
\ProvidesFile{dimnum.dtx}
%</driver>
%<package>\NeedsTeXFormat{LaTeX2e}[2005/12/01]
%<package>\ProvidesPackage{dimnum}
%<*package>
[2021/04/05 v1.0.1 Provides commands for Dimensionless numbers]
%</package>
%
%<*driver>
\documentclass{ltxdoc}
\usepackage{dimnum}[2021/04/05]
\usepackage{multirow}
\usepackage{tabu}
\usepackage{longtable}
\usepackage{booktabs}
\usepackage{caption}
\usepackage{verbatim}
\usepackage{indentfirst}
\EnableCrossrefs
\CodelineIndex
\RecordChanges
\begin{document}
\DocInput{dimnum.dtx}
\PrintChanges
\end{document}
%</driver>
% \fi
%
% \CheckSum{221}
%
% \CharacterTable
% {Upper-case \A\B\C\D\E\F\G\H\I\J\K\L\M\N\O\P\Q\R\S\T\U\V\W\X\Y\Z
% Lower-case \a\b\c\d\e\f\g\h\i\j\k\l\m\n\o\p\q\r\s\t\u\v\w\x\y\z
% Digits \0\1\2\3\4\5\6\7\8\9
% Exclamation \! Double quote \" Hash (number) \#
% Dollar \$ Percent \% Ampersand \&
% Acute accent \' Left paren \( Right paren \)
% Asterisk \* Plus \+ Comma \,
% Minus \- Point \. Solidus \/
% Colon \: Semicolon \; Less than \<
% Equals \= Greater than \> Question mark \?
% Commercial at \@ Left bracket \[ Backslash \\
% Right bracket \] Circumflex \^ Underscore \_
% Grave accent \` Left brace \{ Vertical bar \|
% Right brace \} Tilde \~}
%
%
% \changes{v1.0.0}{2021/04/01}{Public release}
% \changes{v1.0.1}{2021/04/05}{Minor fixes, 42 new additions}
%
% \DoNotIndex{\newcommand,\newenvironment}
%
% \providecommand*{\url}{\texttt}
% \GetFileInfo{dimnum.dtx}
% \title{The \textsf{dimnum} package}
% \author{Miguel R. Clemente \\ \url{miguel.clemente@dem.uc.pt}}
% \date{\fileversion~from \filedate}
%
% \extrarowsep=4mm
%
% \maketitle
%
% Note: \Pr[l] is redefined from the \verb!amsmath! package.
%
% \section{Introduction}
%
% This package simplifies the calling of Dimensionless Numbers in math or text mode.
%
% In Table~\ref{Tab:DimNum} you can find all available Dimensionless Numbers.
%
% \section{Usage}
%
% A Dimensionless number is composed of four items:
% \begin{itemize}
% \item the command,
% \item the symbol,
% \item the name,
% \item its identifier.
% \end{itemize}
% You can call a Dimensionless Number in three distinct ways:
% \begin{itemize}
% \item by its symbol -- using the command (i.e. \verb!\Ar! -- \Ar).
% \item by its name (short version) -- appending [s] to the command (i.e. \verb!\Bi[s]! -- \Bi[s]).
% \item by its name and identifier (long version) -- appending [l] to the command (i.e. \verb!\Kn[l]! -- \Kn[l]).
% \end{itemize}
% Symbol, short and long versions, all work in math or text mode without the need of further commands.
% Besides the comprehensive list of included Dimensionless Numbers, this package also introduces a command to create new Dimensionless Numbers. Creating a Dimensionless Number is achieved by using $$\verb!\newdimnum{\command}{symbol}{name}{identifier}!$$ for example, to add the \Mo[l] we write $$\verb!\newdimnum{\Mo}{Mo}{Morton}{number}!$$
% The identifier can be left empty, such as in the case of \Cd[l] $$\verb!\newdimnum{Cd}{\ensuremath{C_d}}{Drag Coefficient}{}!$$
% in this example we also introduce an important command. When the Dimensionless Number symbol is always expressed in math mode -- either by definition or the use of subscripts or superscripts -- we add \verb!\ensuremath{}! to encompass the symbol, ensuring a proper representation of the Dimensionless Number.
% You can add your own Dimensionless Numbers to your projects. Requests and suggestions to increment Table~\ref{Tab:DimNum} are accepted and encouraged.
%
%\begin{longtabu*} to \textwidth {>{\small}X[2,m] >{\small}X[m,c] >{\small}X[m,c]}
% \centering \\
% \captionsetup{justification=centering} \\
% \caption{List of Dimensionless Numbers Available} \\
% \label{Tab:DimNum} \\
% \toprule \toprule
% \rowfont[]{\bf}Long Name & Symbol & Command\\ \midrule
% \endfirsthead
% \multicolumn{3}{c}%
% {{\footnotesize{\tablename\ \thetable{} -- continued from the previous page}}} \\
% \toprule
% \rowfont[]{\bf}Long Name & Symbol & Command\\ \midrule
% \endhead
% \midrule \multicolumn{3}{r}{{\footnotesize{Continues on the next page}}} \\
% \endfoot
% \bottomrule
% \endlastfoot
% \Ab[l] & \Ab & \verb!\Ab! \\
% \AC[l] & \AC & \verb!\AC! \\
% \Al[l] & \Al & \verb!\Al! \\
% \Ar[l] & \Ar & \verb!\Ar! \\
% \Arr[l] & \Arr & \verb!\Arr! \\
% \AW[l] & \AW & \verb!\AW! \\
% \At[l] & \At & \verb!\At! \\
% \Ba[l] & \Ba & \verb!\Ba! \\
% \Rz[l] & \Rz & \verb!\Rz! \\
% \Be[l] & \Be & \verb!\Be! \\
% \Bm[l] & \Bm & \verb!\Bm! \\
% \Bi[l] & \Bi & \verb!\Bi! \\
% \Bl[l] & \Bl & \verb!\Bl! \\
% \Blo[l] & \Blo & \verb!\Blo! \\
% \Bs[l] & \Bs & \verb!\Bs! \\
% \Bo[l] & \Bo & \verb!\Bo! \\
% \Br[l] & \Br & \verb!\Br! \\
% \BK[l] & \BK & \verb!\BK! \\
% \Ca[l] & \Ca & \verb!\Ca! \\
% \Cau[l] & \Cau & \verb!\Cau! \\
% \Ch[l] & \Ch & \verb!\Ch! \\
% \Jh[l] & \Jh & \verb!\Jh! \\
% \Jd[l] & \Jd & \verb!\Jd! \\
% \Jm[l] & \Jm & \verb!\Jm! \\
% \CoD[l] & \CoD & \verb!\CoD! \\
% \CoF[l] & \CoF & \verb!\CoF! \\
% \CoK[l] & \CoK & \verb!\CoK! \\
% \CoS[l] & \CoS & \verb!\CoS! \\
% \CoV[l] & \CoV & \verb!\CoV! \\
% \Coh[l] & \Coh & \verb!\Coh! \\
% \Co[l] & \Co & \verb!\Co! \\
% \CFL[l] & \CFL & \verb!\CFL! \\
% \Dah[l] & \Dah & \verb!\Dah! \\
% \Dr[l] & \Dr & \verb!\Dr! \\
% \fD[l] & \fD & \verb!\fD! \\
% \Dar[l] & \Dar & \verb!\Dar! \\
% \De[l] & \De & \verb!\De! \\
% \Deb[l] & \Deb & \verb!\Deb! \\
% \Cd[l] & \Cd & \verb!\Cd! \\
% \Du[l] & \Du & \verb!\Du! \\
% \Ec[l] & \Ec & \verb!\Ec! \\
% \Ek[l] & \Ek & \verb!\Ek! \\
% \Ela[l] & \Ela & \verb!\Ela! \\
% \El[l] & \El & \verb!\El! \\
% \Eo[l] & \Eo & \verb!\Eo! \\
% \Er[l] & \Er & \verb!\Er! \\
% \Eu[l] & \Eu & \verb!\Eu! \\
% \ExT[l] & \ExT & \verb!\ExT! \\
% \fF[l] & \fF & \verb!\fF! \\
% \Fs[l] & \Fs & \verb!\Fs! \\
% \FvK[l] & \FvK & \verb!\FvK! \\
% \Fo[l] & \Fo & \verb!\Fo! \\
% \Fre[l] & \Fre & \verb!\Fre! \\
% \Fr[l] & \Fr & \verb!\Fr! \\
% \Go[l] & \Go & \verb!\Go! \\
% \Ga[l] & \Ga & \verb!\Ga! \\
% \Gz[l] & \Gz & \verb!\Gz! \\
% \Gr[l] & \Gr & \verb!\Gr! \\
% \Hg[l] & \Hg & \verb!\Hg! \\
% \Ha[l] & \Ha & \verb!\Ha! \\
% \Hav[l] & \Hav & \verb!\Hav! \\
% \He[l] & \He & \verb!\He! \\
% \Ho[l] & \Ho & \verb!\Ho! \\
% \Ir[l] & \Ir & \verb!\Ir! \\
% \Ja[l] & \Ja & \verb!\Ja! \\
% \Ka[l] & \Ka & \verb!\Ka! \\
% \KC[l] & \KC & \verb!\KC! \\
% \Kn[l] & \Kn & \verb!\Kn! \\
% \Ku[l] & \Ku & \verb!\Ku! \\
% \La[l] & \La & \verb!\La! \\
% \Le[l] & \Le & \verb!\Le! \\
% \Cl[l] & \Cl & \verb!\Cl! \\
% \LM[l] & \LM & \verb!\LM! \\
% \Lu[l] & \Lu & \verb!\Lu! \\
% \Ma[l] & \Ma & \verb!\Ma! \\
% \Mg[l] & \Mg & \verb!\Mg! \\
% \Mar[l] & \Mar & \verb!\Mar! \\
% \Mo[l] & \Mo & \verb!\Mo! \\
% \Nus[l] & \Nus & \verb!\Nus! \\
% \Oh[l] & \Oh & \verb!\Oh! \\
% \Pe[l] & \Pe & \verb!\Pe! \\
% \Peel[l] & \Peel & \verb!\Peel! \\
% \pH[l] & \pH & \verb!\pH! \\
% \Pie[l] & \Pie & \verb!\Pie! \\
% \Poi[l] & \Poi & \verb!\Poi! \\
% \Pf[l] & \Pf & \verb!\Pf! \\
% \Pn[l] & \Pn & \verb!\Pn! \\
% \Pr[l] & \Pr & \verb!\Pr! \\
% \Cp[l] & \Cp & \verb!\Cp! \\
% \Ra[l] & \Ra & \verb!\Ra! \\
% \Rfi[l] & \Rfi & \verb!\Rfi! \\
% \Rey[l] & \Rey & \verb!\Rey! \\
% \Ri[l] & \Ri & \verb!\Ri! \\
% \Crr[l] & \Crr & \verb!\Crr! \\
% \Ro[l] & \Ro & \verb!\Ro! \\
% \Ros[l] & \Ros & \verb!\Ros! \\
% \Rou[l] & \Rou & \verb!\Rou! \\
% \Sc[l] & \Sc & \verb!\Sc! \\
% \Sh[l] & \Sh & \verb!\Sh! \\
% \Shi[l] & \Shi & \verb!\Shi! \\
% \So[l] & \So & \verb!\So! \\
% \St[l] & \St & \verb!\St! \\
% \Ste[l] & \Ste & \verb!\Ste! \\
% \Stk[l] & \Stk & \verb!\Stk! \\
% \Sr[l] & \Sr & \verb!\Sr! \\
% \Stu[l] & \Stu & \verb!\Stu! \\
% \Sv[l] & \Sv & \verb!\Sv! \\
% \Ta[l] & \Ta & \verb!\Ta! \\
% \Ur[l] & \Ur & \verb!\Ur! \\
% \Va[l] & \Va & \verb!\Va! \\
% \vtH[l] & \vtH & \verb!\vtH! \\
% \Wa[l] & \Wa & \verb!\Wa! \\
% \Wal[l] & \Wal & \verb!\Wal! \\
% \Wea[l] & \Wea & \verb!\Wea! \\
% \We[l] & \We & \verb!\We! \\
% \Wei[l] & \Wei & \verb!\Wei! \\
% \Wo[l] & \Wo & \verb!\Wo! \\
% \Zd[l] & \Zd & \verb!\Zd! \\
% \bottomrule
% \end{longtabu*}
%
%
% \StopEventually{}
%
% \section{Implementation}
%
% \iffalse
%<*package>
% \fi
%
% \begin{macrocode}
\NeedsTeXFormat{LaTeX2e}
\ProvidesPackage{dimnum}
[2021/04/05 v1.0.1 Provides commands for Dimensionless numbers]
\RequirePackage{amsmath}
\RequirePackage{xifthen}
\let\Pr\relax
\newif\ifstartedinmathmode
% \end{macrocode}
%
% \begin{macro}{\newdimnum}
% \begin{macrocode}
\newcommand{\newdimnum}[4]{%
\expandafter\newcommand\csname #1\endcsname[1][]{%
\ifthenelse{\equal{##1}{}}{%
\relax\ifmmode\startedinmathmodetrue\else\startedinmathmodefalse\fi%
\ifstartedinmathmode\operatorname{#2}\else#2\fi}{%
\ifthenelse{\equal{##1}{s}}{\text{#3}}{%
\ifthenelse{\equal{##1}{l}}{%
\ifthenelse{\equal{#4}{}}{\text{#3}}{\text{#3 #4}}}{%
\ifthenelse{\equal{#4}{}}{\text{#3}}{\text{#3 #4}}}%
}%
}%
}%
}
% \end{macrocode}
% \end{macro}
%
%\newdimnum{command}{symbol}{name}{identifier}
% \begin{macrocode}
\newdimnum{Ar}{Ar}{Archimedes}{number}
\newdimnum{At}{A}{Atwood}{number}
\newdimnum{Ba}{Ba}{Bagnold}{number}
\newdimnum{Be}{Be}{Bejan}{number}
\newdimnum{Bm}{Bm}{Bingham}{number}
\newdimnum{Bi}{Bi}{Biot}{number}
\newdimnum{Bl}{Bl}{Blake}{number}
\newdimnum{Bs}{Bs}{Bodenstein}{number}
\newdimnum{Bo}{Bo}{Bond}{number}
\newdimnum{Br}{Br}{Brinkman}{number}
\newdimnum{BK}{\ensuremath{N_{BK}}}{Brownell-Katz}{number}
\newdimnum{Ca}{Ca}{Capillary}{number}
\newdimnum{Cau}{C}{Cauchy}{number}
\newdimnum{Ch}{Q}{Chandrasekhar}{number}
\newdimnum{CoF}{\ensuremath{C_f}}{Coefficient of Frication}{}
\newdimnum{Co}{Co}{Condensation}{number}
\newdimnum{Dah}{Da}{Dahmköhler}{number}
\newdimnum{Dar}{Da}{Darcy}{number}
\newdimnum{De}{De}{Dean}{number}
\newdimnum{Deb}{De}{Deborah}{number}
\newdimnum{Cd}{\ensuremath{C_d}}{Drag Coefficient}{}
\newdimnum{Du}{Du}{Dukhin}{number}
\newdimnum{Ec}{Ec}{Eckert}{number}
\newdimnum{Ek}{Ek}{Ekman}{number}
\newdimnum{Ela}{El}{Elasticity}{number}
\newdimnum{El}{El}{Elenbass}{number}
\newdimnum{Eo}{Eo}{Eötvös}{number}
\newdimnum{Er}{Er}{Ericksen}{number}
\newdimnum{Eu}{Eu}{Euler}{number}
\newdimnum{Fo}{Fo}{Fourier}{number}
\newdimnum{Fr}{Fr}{Froude}{number}
\newdimnum{Ga}{Ga}{Galilei}{number}
\newdimnum{Go}{G}{Görtier}{number}
\newdimnum{Gz}{Gz}{Graetz}{number}
\newdimnum{Gr}{Gr}{Grashof}{number}
\newdimnum{Ha}{Ha}{Hatta}{number}
\newdimnum{Hg}{Hg}{Hagen}{number}
\newdimnum{Ho}{H}{Hodgson}{number}
\newdimnum{Ir}{Ir}{Iribarren}{number}
\newdimnum{Ja}{Ja}{Jakob}{number}
\newdimnum{Ka}{Ka}{Karlovitz}{number}
\newdimnum{KC}{\ensuremath{K_C}}{Keulegan-Carpenter}{number}
\newdimnum{Kn}{Kn}{Knudsen}{number}
\newdimnum{Ku}{Ku}{Kutateladze}{number}
\newdimnum{La}{La}{Laplace}{number}
\newdimnum{Le}{Le}{Lewis}{number}
\newdimnum{Ma}{Ma}{Mach}{number}
\newdimnum{Mg}{Mg}{Marangoni}{number}
\newdimnum{Mo}{Mo}{Morton}{number}
\newdimnum{Nus}{Nu}{Nusselt}{number}
\newdimnum{Oh}{Oh}{Ohnesorge}{number}
\newdimnum{Pe}{Pe}{Péclet}{number}
\newdimnum{pH}{pH}{pH}{}
\newdimnum{Po}{Po}{Poiseuille}{constant}
\newdimnum{Pr}{Pr}{Prandtl}{number}
\newdimnum{Ra}{Ra}{Rayleigh}{number}
\newdimnum{Rey}{Re}{Reynolds}{number}
\newdimnum{Ri}{Ri}{Richardson}{number}
\newdimnum{Ro}{Ro}{Roshko}{number}
\newdimnum{Ros}{Ro}{Rossby}{number}
\newdimnum{Rou}{P}{Rouse}{number}
\newdimnum{Sc}{Sc}{Schmidt}{number}
\newdimnum{Sh}{Sh}{Sherwood}{number}
\newdimnum{So}{S}{Sommerfield}{number}
\newdimnum{St}{St}{Stanton}{number}
\newdimnum{Ste}{Ste}{Stefan}{number}
\newdimnum{Stk}{Stk}{Stokes}{number}
\newdimnum{Sr}{Sr}{Strouhal}{number}
\newdimnum{Stu}{N}{Stuart}{number}
\newdimnum{Sv}{Sv}{Svelteness}{}
\newdimnum{Ta}{Ta}{Taylor}{number}
\newdimnum{Ur}{U}{Ursell}{number}
\newdimnum{Va}{Va}{Vadasz}{number}
\newdimnum{Wa}{Wa}{Wagner}{number}
\newdimnum{Wea}{Wea}{Weaver flame speed}{number}
\newdimnum{We}{We}{Weber}{number}
\newdimnum{Wei}{Wi}{Weissenberg}{number}
\newdimnum{Ab}{\ensuremath{V}}{Abbe}{number}
\newdimnum{AC}{\ensuremath{\gamma}}{Activity}{coefficient}
\newdimnum{Al}{\ensuremath{\alpha}}{Albedo}{}
\newdimnum{Arr}{\ensuremath{\alpha}}{Arrhenius}{number}
\newdimnum{AW}{\ensuremath{M}}{Atomic}{weight}
\newdimnum{Rz}{\ensuremath{R_0}}{Basic reproduction}{number}
\newdimnum{Blo}{\ensuremath{B_k}}{Blondeau}{number}
\newdimnum{Jm}{\ensuremath{J_M}}{Chilton-Colburn Momentum J-factor}{}
\newdimnum{Jh}{\ensuremath{J_H}}{Chilton-Colburn Heat J-factor}{}
\newdimnum{Jd}{\ensuremath{J_D}}{Chilton-Colburn Mass J-factor}{}
\newdimnum{CoD}{\ensuremath{R^2}}{Coefficient of Determination}{}
\newdimnum{CoK}{\ensuremath{\mu_k}}{Coefficient of Kinetic Friction}{}
\newdimnum{CoS}{\ensuremath{\mu_s}}{Coefficient of Static Friction}{}
\newdimnum{CoV}{\ensuremath{\frac{\sigma}{\mu}}}{Coefficient of Variation}{}
\newdimnum{Coh}{\ensuremath{{Coh}}}{Cohesion}{number}
\newdimnum{CFL}{\ensuremath{C}}{Courant-Friedrich-Levy}{number}
\newdimnum{Dr}{\ensuremath{\zeta}}{Damping}{ratio}
\newdimnum{fD}{\ensuremath{f_D}}{Darcy friction}{factor}
\newdimnum{ExT}{\ensuremath{\Theta_r}}{Excess Temperature}{coefficient}
\newdimnum{fF}{\ensuremath{f}}{Fanning friction}{factor}
\newdimnum{Fs}{\ensuremath{\alpha}}{Fine-structure constant}{}
\newdimnum{FvK}{\ensuremath{\gamma}}{Föppl-von Kármán}{number}
\newdimnum{Fre}{F}{Fresnel}{number}
\newdimnum{Hav}{\ensuremath{P_H}}{Havnes}{parameter}
\newdimnum{He}{He}{Helmholtz}{number}
\newdimnum{Cl}{\ensuremath{C_L}}{Lift Coefficient}{}
\newdimnum{LM}{\ensuremath{\chi}}{Lockhart-Martinelli}{parameter}
\newdimnum{Lu}{S}{Lundquist}{number}
\newdimnum{Mar}{\ensuremath{\mathcal{M}}}{Markstein}{number}
\newdimnum{Peel}{\ensuremath{N_P}}{Peel}{number}
\newdimnum{Pie}{\ensuremath{C}}{Pierce}{parameter}
\newdimnum{Poi}{\ensuremath{\nu}}{Poisson's}{ratio}
\newdimnum{Pf}{\ensuremath{{pf}}}{Power}{factor}
\newdimnum{Pn}{\ensuremath{N_p}}{Power}{number}
\newdimnum{Cp}{\ensuremath{C_P}}{Pressure Coefficient}{}
\newdimnum{Rfi}{\ensuremath{n}}{Refractive index}{}
\newdimnum{Crr}{\ensuremath{C_{rr}}}{Rolling resistance}{coefficient}
\newdimnum{Shi}{\ensuremath{\tau_*}}{Shield's}{parameter}
\newdimnum{vtH}{\ensuremath{i}}{Van 't Hoff}{factor}
\newdimnum{Wal}{\ensuremath{j^*}}{Wallis}{parameter}
\newdimnum{Wo}{\ensuremath{\alpha}}{Womersley}{number}
\newdimnum{Zd}{\ensuremath{\beta}}{Zel'dovich}{number}
\endinput
% \end{macrocode}
%
% \iffalse
%</package>
% \fi
%
% \Finale
\endinput
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