Crossed partial derivatives

Question

Note that this is a different question from this one.

That aside, I was unable to find the markup for writing something like this:

As visible, I require the partial symbol to have a line across it.

I would also appreciate it if someone could mention the markup for a crossed normal derivative, too, as a bonus.

Thanks.

Answer 1

Something like this?

\documentclass{article}
\usepackage[T1]{fontenc} % for "\dh" macro
\usepackage{amsmath}     % for "\textrm" macro
\newcommand{\crpartial}{\textup{\rmfamily\dh}}
\begin{document}
\[
dS \ge \frac{\crpartial q}{T}
\]
\end{document}

Answer 2

If you're happy with U+00F0 LATIN SMALL LETTER ETH, that is, ð, then you can define it as a math symbol. I used italic, that seems more appropriate.

\documentclass{article}
\usepackage{amsmath}

\DeclareSymbolFont{toneitalic}{T1}{\familydefault}{m}{it}
\DeclareMathSymbol{\cpartial}{\mathord}{toneitalic}{"F0}

\begin{document}

\begin{equation*}
dS\ge\frac{\cpartial q}{T}
\end{equation*}

\end{document}

The slot number "F0 is not a coincidence, as the T1 encoding tries to be as consistent with Latin-1 as possible. Anyway, in order to check, I did from the command line

latexdef dh

to get

\dh:
macro:->\T1-cmd \dh \T1\dh

Hmm, what should we ask for? With some background in the innards of LaTeX

latexdef 'T1\dh'

is the right thing to ask for:

\T1\dh:
\char"F0

You can also cross \partial. The following works with CM fonts, and can be adapted to other fonts. Not really good in \scriptscriptstyle; some work is needed in case.

\documentclass{article}
\usepackage{amsmath,graphicx}

\makeatletter
\newcommand{\cross@partial}{\mathpalette\cross@@partial\relax}
\newcommand{\cross@@partial}[2]{%
  \makebox[0pt][r]{%
    \raisebox{-0.05\height}{%
      \makebox[0.5\width][l]{%
        \rotatebox[origin=l]{30}{$\m@th#1\mathchar'26$}%
      }%
    }%
  }%
}
\newcommand{\cpartial}{\partial\cross@partial}
\makeatother

\begin{document}

\begin{equation*}
dS\ge\frac{\cpartial q}{T}\quad\scriptstyle\cpartial
\end{equation*}

\end{document}