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<helpdocument version="1.0">
<meta>
<topic id="textsmath0103091504xml" indexer="include" status="PUBLISH">
<title id="tit" xml-lang="en-US">Functions</title>
<filename>/text/smath/01/03091504.xhp</filename>
</topic>
</meta>
<body>
<bookmark xml-lang="en-US" branch="index" id="bm_id3156617"><bookmark_value>functions operators;list of</bookmark_value>
</bookmark>
<paragraph role="heading" id="hd_id645466" xml-lang="en-US" level="1" l10n="NEW"><variable id="functions"><link href="text/smath/01/03091504.xhp" name="Functions">Functions</link>
</variable></paragraph>
<table id="tbl_id3156638" class="list">
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablehead" id="par_idN11838" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablehead" id="par_id3156681" xml-lang="en-US" l10n="U" oldref="481">Symbol in Elements Window</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablehead" id="par_id3156750" xml-lang="en-US" l10n="U" oldref="483">Meaning</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11D34" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">abs</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166018" xml-lang="en-US" l10n="E">
<image id="img_id3166024" src="starmath/res/fu21501.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166024" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166138" xml-lang="en-US" l10n="U" oldref="16">Absolute amount</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11B2C" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arccos</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3164840" xml-lang="en-US" l10n="E">
<image id="img_id3164847" src="starmath/res/fu21518.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164847" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3164961" xml-lang="en-US" l10n="U" oldref="184">Inverse cosine or arccosine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11BAE" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arccot</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165134" xml-lang="en-US" l10n="E">
<image id="img_id3165141" src="starmath/res/fu21520.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165141" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165255" xml-lang="en-US" l10n="U" oldref="188">Inverse cotangent or arccotangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11DB6" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arcosh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166312" xml-lang="en-US" l10n="E">
<image id="img_id3166318" src="starmath/res/fu21522.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166318" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166432" xml-lang="en-US" l10n="U" oldref="200">Inverse hyperbolic cosine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11E3A" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arcoth</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143430" xml-lang="en-US" l10n="E">
<image id="img_id3143436" src="starmath/res/fu21524.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143436" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143550" xml-lang="en-US" l10n="U" oldref="204">Inverse hyperbolic cotangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11AE9" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arcsin</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3152238" xml-lang="en-US" l10n="E">
<image id="img_id3152244" src="starmath/res/fu21517.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152244" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3152358" xml-lang="en-US" l10n="U" oldref="182">Inverse sine or arcsine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11B6D" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arctan</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3164987" xml-lang="en-US" l10n="E">
<image id="img_id3164994" src="starmath/res/fu21519.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3164994" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165108" xml-lang="en-US" l10n="U" oldref="186">Inverse tangent or arctangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11D75" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">arsinh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166165" xml-lang="en-US" l10n="E">
<image id="img_id3166172" src="starmath/res/fu21521.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166172" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166285" xml-lang="en-US" l10n="U" oldref="198">Inverse hyperbolic sine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11DF9" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">artanh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3166459" xml-lang="en-US" l10n="E">
<image id="img_id3166465" src="starmath/res/fu21523.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3166465" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143403" xml-lang="en-US" l10n="U" oldref="202">Inverse hyperbolic tangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11EBC" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">backepsilon</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan=""/>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143805" xml-lang="en-US" l10n="U" oldref="216">Back epsilon</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN119E5" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">cos</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151649" xml-lang="en-US" l10n="E">
<image id="img_id3151656" src="starmath/res/fu21510.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151656" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151770" xml-lang="en-US" l10n="U" oldref="176">Cosine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11C71" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">cosh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165576" xml-lang="en-US" l10n="E">
<image id="img_id3165583" src="starmath/res/fu21514.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165583" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165696" xml-lang="en-US" l10n="U" oldref="192">Hyperbolic cosine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11A67" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">cot</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151944" xml-lang="en-US" l10n="E">
<image id="img_id3151950" src="starmath/res/fu21512.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151950" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3152064" xml-lang="en-US" l10n="U" oldref="180">Cotangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11CF3" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">coth</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165871" xml-lang="en-US" l10n="E">
<image id="img_id3165877" src="starmath/res/fu21516.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165877" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165991" xml-lang="en-US" l10n="U" oldref="196">Hyperbolic cotangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN118E1" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">exp</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157074" xml-lang="en-US" l10n="E">
<image id="img_id3157080" src="starmath/res/fu21507.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157080" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157194" xml-lang="en-US" l10n="U" oldref="206">General exponential function</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11E7B" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">fact</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143577" xml-lang="en-US" l10n="E">
<image id="img_id3143584" src="starmath/res/fu21502.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3143584" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143698" xml-lang="en-US" l10n="U" oldref="18">Factorial</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN1185F" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">func e^{}</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3156780" xml-lang="en-US" l10n="E">
<image id="img_id3156786" src="starmath/res/fu21505.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156786" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3156900" xml-lang="en-US" l10n="U" oldref="212">Natural exponential function</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN118A0" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">ln</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3156927" xml-lang="en-US" l10n="E">
<image id="img_id3156934" src="starmath/res/fu21506.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156934" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157048" xml-lang="en-US" l10n="U" oldref="208">Natural logarithm</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11922" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">log</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157220" xml-lang="en-US" l10n="E">
<image id="img_id3157227" src="starmath/res/fu21508.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157227" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157341" xml-lang="en-US" l10n="U" oldref="210">General logarithm</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11BEF" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">nroot</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165282" xml-lang="en-US" l10n="E">
<image id="img_id3165288" src="starmath/res/fu21504.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165288" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165402" xml-lang="en-US" l10n="U" oldref="22">n-th root of x</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN119A4" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">sin</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151502" xml-lang="en-US" l10n="E">
<image id="img_id3151509" src="starmath/res/fu21509.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151509" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151623" xml-lang="en-US" l10n="U" oldref="174">Sine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11C30" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">sinh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165429" xml-lang="en-US" l10n="E">
<image id="img_id3165436" src="starmath/res/fu21513.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165436" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165549" xml-lang="en-US" l10n="U" oldref="190">Hyperbolic sine</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11AA8" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">sqrt</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3152091" xml-lang="en-US" l10n="E">
<image id="img_id3152097" src="starmath/res/fu21503.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152097" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3152211" xml-lang="en-US" l10n="U" oldref="20">Square root</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11EDE" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">sub</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan=""/>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3143914" xml-lang="en-US" l10n="U" oldref="130">x with subscript n</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11963" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">sup</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3157368" xml-lang="en-US" l10n="E">
<image id="img_id3157375" src="starmath/res/fu21908.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3157375" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151476" xml-lang="en-US" l10n="U" oldref="132">n-th power of x</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11A26" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">tan</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151796" xml-lang="en-US" l10n="E">
<image id="img_id3151803" src="starmath/res/fu21511.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3151803" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3151917" xml-lang="en-US" l10n="U" oldref="178">Tangent</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_idN11CB2" xml-lang="en-US" l10n="NEW" localize="false">
<item type="literal">tanh</item>
</paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165723" xml-lang="en-US" l10n="E">
<image id="img_id3165730" src="starmath/res/fu21515.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3165730" xml-lang="en-US">Icon</alt>
</image></paragraph>
</tablecell>
<tablecell colspan="" rowspan="">
<paragraph role="tablecontent" id="par_id3165844" xml-lang="en-US" l10n="U" oldref="194">Hyperbolic tangent</paragraph>
</tablecell>
</tablerow>
</table>
<section id="relatedtopics">
<embed href="text/smath/01/03090400.xhp#funktionen"/>
<embed href="text/smath/01/03091500.xhp#reference"/>
</section>
</body>
</helpdocument>