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0006 This manual was originally translated from LATEX.HLP v1.0a in the
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0020 Copyright 2007, 2008, 2009, 2010, 2011, 2012, 2013,
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0023 Copyright 1988, 1994, 2007 Stephen Gilmore.
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0025 Copyright 1994, 1995, 1996 Torsten Martinsen.
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0042 <title>Dots (LaTeX2e unofficial reference manual (November 2018))</title>
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0112 <body lang="en">
0113 <a name="Dots"></a>
0114 <div class="header">
0115 <p>
0116 Next: <a href="Greek-letters.html#Greek-letters" accesskey="n" rel="next">Greek letters</a>, Previous: <a href="Delimiters.html#Delimiters" accesskey="p" rel="prev">Delimiters</a>, Up: <a href="Math-symbols.html#Math-symbols" accesskey="u" rel="up">Math symbols</a> &nbsp; [<a href="index.html#SEC_Contents" title="Table of contents" rel="contents">Contents</a>][<a href="IndexDocument.html#Index" title="Index" rel="index">Index</a>]</p>
0117 </div>
0118 <hr>
0119 <a name="Dots_002c-horizontal-or-vertical"></a>
0120 <h4 class="subsection">16.2.6 Dots, horizontal or vertical</h4>
0121 
0122 <a name="index-ellipses"></a>
0123 <a name="index-dots"></a>
0124 
0125 <p>Ellipses are the three dots (usually three) indicating that a pattern
0126 continues.
0127 </p>
0128 <div class="example">
0129 <pre class="example">\begin{array}{cccc}
0130   a_{0,0}    &amp;a_{0,1}   &amp;a_{0,2} &amp;\ldots \\
0131   a_{1,0}    &amp;\ddots                     \\
0132   \vdots
0133 \end{array}
0134 </pre></div>
0135 
0136 <p>LaTeX provides these.
0137 </p>
0138 <dl compact="compact">
0139 <dd><a name="ellipses-cdots"></a></dd>
0140 <dt><code>\cdots</code>
0141 <a name="index-_005ccdots"></a>
0142 </dt>
0143 <dd><p>Horizontal ellipsis with the dots raised to the center of the line, as
0144 in &#x22EF;.  Used as: <code>\( a_0\cdot a_1\cdots a_{n-1}
0145 \)</code>.
0146 </p>
0147 <a name="ellipses-ddots"></a></dd>
0148 <dt><code>\ddots</code>
0149 <a name="index-_005cddots"></a>
0150 </dt>
0151 <dd><p>Diagonal ellipsis, &#x22F1;.  See the above array example for a
0152 usage.
0153 </p>
0154 <a name="ellipses-ldots"></a></dd>
0155 <dt><code>\ldots</code>
0156 <a name="index-_005cldots"></a>
0157 </dt>
0158 <dd><p>Ellipsis on the baseline, &#x2026;.  Used as: <code>\(
0159 x_0,\ldots x_{n-1} \)</code>.  Another example is the above array example. A
0160 synonym is <code>\mathellipsis</code>.  A synonym from the <samp>amsmath</samp>
0161 package is <code>\hdots</code>.
0162 </p>
0163 <p>You can also use this command outside of mathematical text, as in
0164 <code>The gears, brakes, \ldots{} are all broken</code>.  (In a paragraph
0165 mode or LR mode a synonym for <code>\ldots</code> is <code>\dots</code>.)
0166 </p>
0167 <a name="ellipses-vdots"></a></dd>
0168 <dt><code>\vdots</code>
0169 <a name="index-_005cvdots"></a>
0170 </dt>
0171 <dd><p>Vertical ellipsis, &#x22EE;.  See the above array example for a
0172 usage.
0173 </p>
0174 </dd>
0175 </dl>
0176 
0177 <a name="index-package_002c-amsmath-8"></a>
0178 <a name="index-amsmath-package-8"></a>
0179 
0180 <p>The <samp>amsmath</samp> package has the command <code>\dots</code> to semantically
0181 mark up ellipses.  This example produces two different-looking outputs
0182 for the first two uses of the <code>\dots</code> command.
0183 </p>
0184 <div class="example">
0185 <pre class="example">\usepackage{amsmath}  % in preamble
0186   ...
0187 Suppose that \( p_0, p_1, \dots, p_{n-1} \) lists all of the primes.
0188 Observe that \( p_0\cdot p_1 \dots \cdot p_{n-1} +1 \) is not a
0189   multiple of any \( p_i \).
0190 Conclusion: there are infinitely many primes \( p_0, p_1, \dotsc \).
0191 </pre></div>
0192 
0193 <p>In the first line LaTeX looks to the comma following <code>\dots</code> to
0194 determine that it should output an ellipsis on the baseline.  The second
0195 line has a <code>\cdot</code> following <code>\dots</code> so LaTeX outputs an
0196 ellipsis that is on the math axis, vertically centered.  However, the
0197 third usage has no follow-on character so you have to tell LaTeX what
0198 to do.  You can use one of the commands: <code>\dotsc</code> if you need the
0199 ellipsis appropriate for a comma following, <code>\dotsb</code> if you need
0200 the ellipses that fits when the dots are followed by a binary operator
0201 or relation symbol, <code>\dotsi</code> for dots with integrals, or
0202 <code>\dotso</code> for others.
0203 </p>
0204 
0205 
0206 
0207 <hr/><div class='referenceinfo'> <a href='https://latexref.xyz/'> <i>Unofficial LaTeX2e reference manual</i></a></div>
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