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LaTeXsymbol for Cauchy principal value
The usual symbol (dashed integral) used to denote Cauchy’s principal value of an integral can be created in
LaTeX through macros.^{1}^{1}UK List of TeX is a reference. These one are given by the following instructions, which must be included on the preamble.
\def\Xint#1{\mathchoice {\XXint\displaystyle\textstyle{#1}}% {\XXint\textstyle\scriptstyle{#1}}% {\XXint\scriptstyle\scriptscriptstyle{#1}}% {\XXint\scriptscriptstyle\scriptscriptstyle{#1}}% \!\int} \def\XXint#1#2#3{{\setbox0=\hbox{$#1{#2#3}{\int}$} \vcenter{\hbox{$#2#3$}}\kern.5\wd0}} \def\ddashint{\Xint=} \def\dashint{\Xint}
The commands to execute those macros are $``\backslash dashint"$ and $``\backslash ddashint"$ for single dash and double dash, respectively. Let us expose a few examples.

${\vbox{\hbox{$\textstyle=$}}\kern 0.0pt}\!\int_{\Omega}F(\zeta,\eta)d\zeta d\eta$ 
${\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{z_{0}}}^{z}f(\zeta)d\zeta$ 
$Ei(z)={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{z}}^{\infty}\frac{e^{% {\zeta}}}{\zeta}d\zeta={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{{% \infty}}^{z}\frac{e^{\zeta}}{\zeta}d\zeta,\quad\Re{z}>0,\quad\text{(% exponential integral)}$ 
$li(z)={\vbox{\hbox{$\textstyle$}}\kern 0.0pt}\!\int_{0}^{z}\frac{d\zeta}{\log% \zeta}\equiv Ei(\log z),\;\Re{z}>1,\quad\text{(logarithmic integral)}$ 
$\Gamma(z)\Gamma(1z)=z\Gamma(z)\Gamma(z)={\vbox{\hbox{$\textstyle$}}\kern 0% .0pt}\!\int_{0}^{\infty}\frac{\zeta^{{z1}}}{\zeta+1}d\zeta=\pi\csc\pi z,\quad 0% <\Re{z}<1,\quad\text{(Gamma function reflection's formula)}$
Related:
LogarithmicIntegral2
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new question: A problem about Euler's totient function by mbhatia
new problem: Problem: Show that phi(a^n1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia
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new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier
new image: expected waiting time by robert_dodier
new image: plot W(t) = P(waiting time <= t) by robert_dodier
new question: Prove a formula is part of the Gentzen System by LadyAnne
Mar 30
new question: A problem about Euler's totient function by mbhatia
new problem: Problem: Show that phi(a^n1), (where phi is the Euler totient function), is divisible by n for any natural number n and any natural number a >1. by mbhatia
new problem: MSC browser just displays "No articles found. Up to ." by jaimeglz
Mar 26
new correction: Misspelled name by DavidSteinsaltz
Mar 21
new correction: underlinetypo by Filipe
Mar 19
new correction: cocycle pro cocyle by pahio
Mar 7
new image: plot W(t) = P(waiting time <= t) (2nd attempt) by robert_dodier
new image: expected waiting time by robert_dodier
new image: plot W(t) = P(waiting time <= t) by robert_dodier