<html><head><meta http-equiv="Content-Type" content="text/html; charset=us-ascii"></head><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\listfiles</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% ----------Document class-------------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\documentclass[12pt,reqno]{amsart}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%-------Packages----------------------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%!TEX TS-program = xelatex</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% !TEX encoding = UTF-8 Unicode</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\synctex=1</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%----------------------------------------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{fontspec} % For XeLaTeX</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{amsmath,amsthm,amsxtra}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{amssymb}<span class="Apple-tab-span" style="white-space:pre"> </span>%This is redundant when using STIX and kpfonts-otf</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{mathtools}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{bm}<span class="Apple-tab-span" style="white-space:pre"> </span>%For bold math symbol</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{fontspec} % support opentype text fonts</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\usepackage{unicode-math} % support opentype math fonts</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% Slightly reduce font size.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\defaultfontfeatures{Scale=.92}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% The explicit .otf extension tells the engines to find the font via</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% filenames in the TeX trees, rather than as system-installed fonts.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\setmainfont[% main rm</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> Ligatures=TeX,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ItalicFont=LucidaBrightOT-Italic.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldFont=LucidaBrightOT-Demi.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldItalicFont=LucidaBrightOT-DemiItalic.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ]{LucidaBrightOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\setsansfont[% main sans</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> Ligatures=TeX,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ItalicFont=LucidaSansOT-Italic.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldFont=LucidaSansOT-Demi.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldItalicFont=LucidaSansOT-DemiItalic.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ]{LucidaSansOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\setmonofont[% main typewriter</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ItalicFont=LucidaSansTypewriterOT-Oblique.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldFont=LucidaSansTypewriterOT-Bold.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> BoldItalicFont=LucidaSansTypewriterOT-BoldOblique.otf,</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class=""> ]{LucidaSansTypewriterOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\setmathfont{LucidaBrightMathOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\setmathfont[version=bold]{LucidaBrightMathOT-Demi}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% The specialized one-off fonts:</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\newfontface\LucidaBlackletter{LucidaBlackletterOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\newfontface\LucidaCalligraphy{LucidaCalligraphyOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\newfontface\LucidaHandwriting{LucidaHandwritingOT.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">% GrandeMono and Console fonts for an example:</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\newfontface\LucidaGrandeMono{LucidaGrandeMonoDK.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%\newfontface\LucidaConsole{LucidaConsoleDK.otf}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%-------------------------------------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\begin{document}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%-----------------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Lucida Bright OT fonts \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">There are three problems:</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\begin{enumerate}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\item Using boldface in math mode.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\item Using \verb"\emph" in text mode.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\item Something is wrong with the \verb"\mathcal" command.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\end{enumerate}</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Problem 1: Using boldface in math mode.\\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">The problem: I want the math symbol $B_{3}$ to be in boldface in math mode with $B$ not upright. Both B and its subscript 3 should be in boldface. The command \verb"\bm{}" from the ``bm'' package does not work at all.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">The following examples illustrate the problem. I show the typeset original followed by the command.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">This is the original in plain math.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$B_3\big(s,a,(a+4)/3\big)$ \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$B_3\big(s,a,(a+4)/3\big)$" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">This is the attempt using \verb"\boldmath".</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">The \verb"\boldmath" command does not do anything.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$\boldmath{B_3}\big(s,a,(a+4)/3\big)$ \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$\boldmath{B_3}\big(s,a,(a+4)/3\big)$" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">This is the attempt using \verb"\mathbf".</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">The \verb"\mathbf" command changes \verb"B_{3}" to boldface but B is upright: </div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$\mathbf{B_3}\big(s,a,(a+4)/3\big)$. \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$\mathbf{B_3}\big(s,a,(a+4)/3\big)$" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Typeface issues.\\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Problem 2: The emphasis and italic typeface commands produce identical output.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Examples follow. \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">These illustrate the issue with \verb"\emph". \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\emph{Emphasis}, \textit{Emphasis in italic mode} \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"\emph{Emphasis}, \textit{Emphasis in italic mode}" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\textit{Italic}, \emph{Italic in emphasis mode} \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"\textit{Italic}, \emph{Italic in emphasis mode}" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">Problem 3: \verb"\mathcal" produces the wrong output.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">These illustrate the issue with \verb"\mathcal", namely, the typeset characters are not the Lucida Calligraphy OT characters.</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$ \mathcal{MathCal}, \mathcal{MATHCAL} $ \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$ \mathcal{MathCal}, \mathcal{MATHCAL} $" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$\mathcal{A, B, C, D, E, F, G, H, I, J, K, L, M}$ \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$\mathcal{A, B, C, D, E, F, G, H, I, J, K, L, M}$" \\</div><p style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""> <br class="webkit-block-placeholder"></p><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">$\mathcal{N, O, P, Q, R, S, T, U, V, W, X, Y, Z}$ \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\verb"$\mathcal{N, O, P, Q, R, S, T, U, V, W, X, Y, Z}$" \\</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35); min-height: 21px;" class=""><br class=""></div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">%------------------------</div><div style="margin: 0px; font-stretch: normal; line-height: normal; color: rgb(78, 75, 35);" class="">\end{document}</div></body></html>