\documentclass[11pt]{memoir}
\usepackage{graphics}
\usepackage{fontspec}
\setmainfont{LucidaBright}
\newfontfamily\menlosc[Scale=0.9]{Menlo}
\newcommand{\TBFN}[1]{{\menlosc #1}}
\settypeoutlayoutunit{in}
\typeoutlayout
\setstocksize{10in}{7in}
\settrimmedsize{\stockheight}{\stockwidth}{*}
\settypeblocksize{7.4in}{5.0in}{*}
\setlrmargins{0.7in}{*}{*}
\setulmargins{1in}{*}{*}
\setheadfoot{0.2in}{0.8in}
\setheaderspaces{0.5in}{*}{*}
\checkandfixthelayout
\begin{document}
\noindent Problem: unattractive interword kerning inside the sets :
\begin{itemize}
\item For the xxxxx ‘\TBFN{β ∈ \{CIR DMD CRS\}}’, the set \TBFN{\{CIR DMD CRS\}} is called the \emph{xxxxxxxxxx}.
\item When the xxxxx ‘\TBFN{β ∈ \{CIR DMD CRS\}}’ is employed as a xxxxxxxxxx, the xxxxxxxxxx is called the \emph{xxxxxxxxxx}.
\end{itemize}
\noindent My hack. it works, but lack of right justification looks ugly:
\begin{itemize}
\item For the xxxxx ‘\TBFN{β ∈ \{CIR DMD CRS\}}’, the set \TBFN{\{CIR DMD CRS\}} \\ is called the \emph{xxxxxxxxxx}.
\item When the xxxxx ‘\TBFN{β ∈ \{CIR DMD CRS\}}’ is employed as a \\ xxxxxxxxxx, the xxxxxxxxxx is called the \emph{xxxxxxxxxx}.
\end{itemize}
\end{document}
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If you could reproduce the issue with a standard font, we could test it for improving.
I agree with Johannes: you need math kerning, thus math mode, in text mode you get text kerning. So, instead of "β ∈ ..." I would write $\beta\in ...$.
'Beta' and 'element-of' are Unicode chars that I use in verbatim listings input from files elsewhere in the text. \beta and \in might render the glyphs correctly, but I don't want to fight this battle if I can avoid it.
My best hope was to enclose the sets inside 'in-line' verbatim commands such as \verb. However, this didn't work. I've recently become familiar with the listings package; maybe its in-line verbatim capabilities will do the trick.
I'm already using XeTeX, and it is doing a good job handling utf-8 characters that I read from a file and display verbatim. If I can master the art of inline verbatim display, the problem might be solved.
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And: Currently, Packt sells ebooks for $4.99 each if you buy 5 of their over 1000 ebooks. If you choose only a single one, $9.99. How about combining 3 LaTeX books with Python, gnuplot, mathplotlib, Matlab, ChatGPT or other AI books? Epub and PDF. Bundle (3 books, add more for higher discount): https://packt.link/MDH5p