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-<head>
-<title>UK TeX FAQ -- question label numbersets</title>
-</head><body>
-<h3>Symbols for the number sets</h3>
-<p/>Mathematicians commonly use special lettering for the real numbers and
-other standard number sets. Traditionally these were typeset in bold.
-Because, in the ordinary course of events, mathematicians do not have
-access to bold chalk, they invented special symbols that are now
-often used for the number sets; these symbols are known as
-&#8220;blackboard bold&#8221; (or double-stroked fonts); in place of the heavier
-strokes of a bold font, (some) strokes of the letters are doubled.
-The minimum useful set is upper-case letters &#8216;I&#8217;, &#8216;N&#8217;, &#8216;R&#8217;, &#8216;Q&#8217; and
-&#8216;Z&#8217;; some fonts offer a figure &#8216;1&#8217; (for a unit matrix &#8212; not a number
-set at all).
-<p/>A set of blackboard bold capitals is available in the AMS
-<i>msbm</i> fonts (<i>msbm</i> is available at a range of
-design sizes, with names such as <i>msbm10</i>). The pair of font
-families (the other is called <i>msam</i>) have a large number of
-mathematical symbols to supplement those provided in the Knuth&#8217;s
-original TeX distribution, and are available in Type 1 format in
-modern distributions. Support files for using the fonts, both under
-Plain TeX and LaTeX (packages <i>amssymb</i> and
-<i>amsfonts</i>), are available. The font shape is a rather
-austere sans, which many people don&#8217;t like (though it captures the
-essence of quickly-chalked writing rather well).
-<p/>The <i>bbold</i> family is set of blackboard bold fonts written in
-Metafont. This set offers blackboard bold forms of lower-case letters;
-the font source directory also contains sources for a LaTeX package
-that enables use of the fonts. The fonts are not available in Type 1 format.
-<p/>The <i>bbm</i> family claims to provide
-&#8216;blackboard&#8217; versions of most of the <i>cm</i> fonts &#8230; including
-the bold and bold-extended series. Again, the fonts are designed in
-Metafont and are not available in Type 1 format. LaTeX macro support
-comes from a package by Torsten Hilbrich.
-<p/>The <i>doublestroke</i> family comes in just roman
-and sans shapes, at a single weight, and is available both as Metafont
-sources and as Type 1; the font covers the uppercase latin letters,
-lowercase &#8216;h&#8217; and &#8217;k&#8217;, and the digit &#8216;1&#8217;.
-<p/>A document that shows the <i>bbm</i>, <i>bbold</i>,
-<i>doublestroke</i> and <i>msbm</i> fonts, so that you can get
-a feel for their appearance, is available (CTAN package
-<i>blackboard</i>).
-<p/>An alternative source of Type 1 fonts with blackboard bold characters
-may be found in the steadily increasing set of complete families, both
-commercial and free, that have been prepared for use with (La)TeX
-(see
-&#8220;<a href="FAQ-psfchoice.html">choice of outline fonts</a>&#8221;).
-Of the free sets, the <i>txfonts</i> and <i>pxfonts</i> families
-both come with replicas of <i>msam</i> and <i>msbm</i>
-(though, as noted elsewhere, there are other reasons not to use these
-fonts). The <i>mathpazo</i> family includes a &#8220;mathematically
-significant&#8221; choice of blackboard bold characters, and the
-<i>fourier</i> fonts contain blackboard bold upper-case letters,
-the digit &#8216;1&#8217;, and lower-case &#8216;k&#8217;.
-<p/>The &#8220;lazy person&#8217;s&#8221; blackboard bold macros:
-<blockquote>
-<pre>
-\newcommand{\R}{{\textsf{R}\hspace*{-0.9ex}%
- \rule{0.15ex}{1.5ex}\hspace*{0.9ex}}}
-\newcommand{\N}{{\textsf{N}\hspace*{-1.0ex}%
- \rule{0.15ex}{1.3ex}\hspace*{1.0ex}}}
-\newcommand{\Q}{{\textsf{Q}\hspace*{-1.1ex}%
- \rule{0.15ex}{1.5ex}\hspace*{1.1ex}}}
-\newcommand{\C}{{\textsf{C}\hspace*{-0.9ex}%
- \rule{0.15ex}{1.3ex}\hspace*{0.9ex}}}
-</pre>
-</blockquote><p>
-are almost acceptable at normal size if the surrounding text is
-<i>cmr10</i> (the position of the vertical bar can be affected by
-the surrounding font). However, they are not part of a proper maths font,
-and do not work in sub- and superscripts. As we&#8217;ve seen, there are
-plenty of alternatives: that mythical &#8220;lazy&#8221; person can inevitably
-do better than the macros, or anything similar using capital &#8216;I&#8217;
-(which looks even worse!). Voluntary (La)TeX effort has redefined
-the meaning of laziness (in this respect!).
-<dl>
-<dt><tt><i>AMS support files</i></tt><dd>Distributed as part of <a href="http://mirror.ctan.org/fonts/amsfonts.zip">fonts/amsfonts</a> (or <a href="http://mirror.ctan.org/fonts/amsfonts/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/amsfonts.html">catalogue entry</a>
-<dt><tt><i>AMS symbol fonts</i></tt><dd>Distributed as part of <a href="http://mirror.ctan.org/fonts/amsfonts.zip">fonts/amsfonts</a> (or <a href="http://mirror.ctan.org/fonts/amsfonts/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/amsfonts.html">catalogue entry</a>
-<dt><tt><i>bbm fonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/cm/bbm.zip">fonts/cm/bbm</a> (or <a href="http://mirror.ctan.org/fonts/cm/bbm/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/bbm.html">catalogue entry</a>
-<dt><tt><i>bbm macros</i></tt><dd><a href="http://mirror.ctan.org/macros/latex/contrib/bbm.zip">macros/latex/contrib/bbm</a> (or <a href="http://mirror.ctan.org/macros/latex/contrib/bbm/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/bbm-macros.html">catalogue entry</a>
-<dt><tt><i>bbold fonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/bbold.zip">fonts/bbold</a> (or <a href="http://mirror.ctan.org/fonts/bbold/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/bbold.html">catalogue entry</a>
-<dt><tt><i>blackboard evaluation set</i></tt><dd><a href="http://mirror.ctan.org/info/symbols/blackboard.zip">info/symbols/blackboard</a> (or <a href="http://mirror.ctan.org/info/symbols/blackboard/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/blackboard.html">catalogue entry</a>
-<dt><tt><i>doublestroke fonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/doublestroke.zip">fonts/doublestroke</a> (or <a href="http://mirror.ctan.org/fonts/doublestroke/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/doublestroke.html">catalogue entry</a>
-<dt><tt><i>fourier fonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/fourier-GUT.zip">fonts/fourier-GUT</a> (or <a href="http://mirror.ctan.org/fonts/fourier-GUT/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/fourier.html">catalogue entry</a>
-<dt><tt><i>mathpazo fonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/mathpazo.zip">fonts/mathpazo</a> (or <a href="http://mirror.ctan.org/fonts/mathpazo/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/mathpazo.html">catalogue entry</a>
-<dt><tt><i>pxfonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/pxfonts.zip">fonts/pxfonts</a> (or <a href="http://mirror.ctan.org/fonts/pxfonts/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/pxfonts.html">catalogue entry</a>
-<dt><tt><i>txfonts</i></tt><dd><a href="http://mirror.ctan.org/fonts/txfonts.zip">fonts/txfonts</a> (or <a href="http://mirror.ctan.org/fonts/txfonts/">browse the directory</a>); <a href="http://mirror.ctan.org/help/Catalogue/entries/txfonts.html">catalogue entry</a>
-</dl>
-<p/><p>This question on the Web: <a href="http://www.tex.ac.uk/cgi-bin/texfaq2html?label=numbersets">http://www.tex.ac.uk/cgi-bin/texfaq2html?label=numbersets</a>
-</body>