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| <helpdocument version="1.0"> |
| <meta> |
| <topic id="textsmath0103091502xml" indexer="include" status="PUBLISH"> |
| <title id="tit" xml-lang="en-US">Relations</title> |
| <filename>/text/smath/01/03091502.xhp</filename> |
| </topic> |
| </meta> |
| <body> |
| <bookmark xml-lang="en-US" branch="index" id="bm_id3149650"><bookmark_value>relations operators;list of</bookmark_value> |
| </bookmark> |
| <paragraph role="heading" id="hd_id2083193" xml-lang="en-US" level="1" l10n="NEW"><variable id="relations"><link href="text/smath/01/03091502.xhp" name="Relations">Relations</link> |
| </variable></paragraph> |
| <table id="tbl_id3150676" class="list"> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablehead" id="par_idN10C98" xml-lang="en-US" l10n="NEW">Typed command(s)</paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablehead" id="par_id3154032" xml-lang="en-US" l10n="U" oldref="475">Symbol in Elements Window</paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablehead" id="par_id3147272" xml-lang="en-US" l10n="U" oldref="477">Meaning</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10E08" xml-lang="en-US" l10n="NEW"> |
| <item type="literal"><</item> or <item type="literal">lt</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3156247" xml-lang="en-US" l10n="E"> |
| <image id="img_id3156253" src="starmath/res/bi21305.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3156253" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150068" xml-lang="en-US" l10n="U" oldref="68">Less than</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id9464726" xml-lang="en-US" l10n="NEW"> |
| <item type="literal"><<</item> or <item type="literal">ll</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""/> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3149922" xml-lang="en-US" l10n="U" oldref="80">Much less than</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN11059" xml-lang="en-US" l10n="NEW"> |
| <item type="literal"><=</item> or <item type="literal">le</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153031" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153037" src="starmath/res/bi21313.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153037" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152714" xml-lang="en-US" l10n="U" oldref="76">Less than or equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10D00" xml-lang="en-US" l10n="NEW"> |
| <item type="literal"><></item> or <item type="literal">neq</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3155548" xml-lang="en-US" l10n="E"> |
| <image id="img_id3155554" src="starmath/res/bi21302.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3155554" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3148672" xml-lang="en-US" l10n="U" oldref="32">Not equal</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10CBF" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">=</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150600" xml-lang="en-US" l10n="E"> |
| <image id="img_id3150606" src="starmath/res/bi21301.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150606" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3155358" xml-lang="en-US" l10n="U" oldref="30">Equation</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10E4D" xml-lang="en-US" l10n="NEW"> |
| <item type="literal">></item> or <item type="literal">gt</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152978" xml-lang="en-US" l10n="E"> |
| <image id="img_id3152984" src="starmath/res/bi21306.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3152984" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150515" xml-lang="en-US" l10n="U" oldref="66">Greater than</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN1109E" xml-lang="en-US" l10n="NEW"> |
| <item type="literal">>=</item> or <item type="literal">ge</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152741" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153876" src="starmath/res/bi21314.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153876" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150308" xml-lang="en-US" l10n="U" oldref="70">Greater than or equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN11183" xml-lang="en-US" l10n="NEW"> |
| <item type="literal">>></item> or <item type="literal">gg</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""/> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153863" xml-lang="en-US" l10n="U" oldref="74">Much greater than</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10D45" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">approx</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150840" xml-lang="en-US" l10n="E"> |
| <image id="img_id3150846" src="starmath/res/bi21307.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150846" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3148622" xml-lang="en-US" l10n="U" oldref="86">Is approximately</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id9866497" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">def</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""/> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3148502" xml-lang="en-US" l10n="U" oldref="82">is defined as/by definition equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10D86" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">divides</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3154050" xml-lang="en-US" l10n="E"> |
| <image id="img_id3154056" src="starmath/res/bi21322.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154056" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153749" xml-lang="en-US" l10n="U" oldref="375">divides</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN11165" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">dlarrow</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150419" xml-lang="en-US" l10n="E"> |
| <image id="img_id3150425" src="starmath/res/bi21324.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150425" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3163845" xml-lang="en-US" l10n="U" oldref="383">Arrow with double line to the left</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN111A6" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">dlrarrow</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3154424" xml-lang="en-US" l10n="E"> |
| <image id="img_id3154429" src="starmath/res/bi21325.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154429" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3156166" xml-lang="en-US" l10n="U" oldref="387">Arrow with double line to the left and the right</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN111E7" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">drarrow</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3155410" xml-lang="en-US" l10n="E"> |
| <image id="img_id3155417" src="starmath/res/bi21326.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3155417" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3155291" xml-lang="en-US" l10n="U" oldref="385">Arrow with double line to the right</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN11018" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">equiv</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153373" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153379" src="starmath/res/bi21303.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153379" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152934" xml-lang="en-US" l10n="U" oldref="84">Is equivalent/congruent to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10F96" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">geslant</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3149139" xml-lang="en-US" l10n="E"> |
| <image id="img_id3149145" src="starmath/res/bi21310.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149145" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153616" xml-lang="en-US" l10n="U" oldref="72">Greater than-equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10F55" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">leslant</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153648" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153653" src="starmath/res/bi21309.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153653" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153690" xml-lang="en-US" l10n="U" oldref="78">Less than-equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10DC7" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">ndivides</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3145098" xml-lang="en-US" l10n="E"> |
| <image id="img_id3145104" src="starmath/res/bi21323.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3145104" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150374" xml-lang="en-US" l10n="U" oldref="377">does not divide</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10F14" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">ortho</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152809" xml-lang="en-US" l10n="E"> |
| <image id="img_id3150267" src="starmath/res/bi21304.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3150267" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3151063" xml-lang="en-US" l10n="U" oldref="94">Is orthogonal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10ED3" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">parallel</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153161" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153168" src="starmath/res/bi21308.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153168" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152784" xml-lang="en-US" l10n="U" oldref="96">Is parallel to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN110E3" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">prop</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3150336" xml-lang="en-US" l10n="E"> |
| <image id="img_id3148396" src="starmath/res/bi21312.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3148396" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153930" xml-lang="en-US" l10n="U" oldref="92">Is proportional to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10FD7" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">sim</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3154416" xml-lang="en-US" l10n="E"> |
| <image id="img_id3154422" src="starmath/res/bi21315.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3154422" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3145154" xml-lang="en-US" l10n="U" oldref="88">Is similar to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN10E92" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">simeq</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3149265" xml-lang="en-US" l10n="E"> |
| <image id="img_id3149271" src="starmath/res/bi21311.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3149271" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3151346" xml-lang="en-US" l10n="U" oldref="90">Is similar or equal to</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_idN11124" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">toward</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3153957" xml-lang="en-US" l10n="E"> |
| <image id="img_id3153962" src="starmath/res/bi21316.png" width="0.3335inch" height="0.3335inch"><alt id="alt_id3153962" xml-lang="en-US">Icon</alt> |
| </image></paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3155844" xml-lang="en-US" l10n="U" oldref="134">Toward</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id4814489" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">transl</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""/> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3152853" xml-lang="en-US" l10n="U" oldref="98">Correspondence symbol image of</paragraph> |
| </tablecell> |
| </tablerow> |
| <tablerow> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3677758" xml-lang="en-US" l10n="NEW" localize="false"> |
| <item type="literal">transr</item> |
| </paragraph> |
| </tablecell> |
| <tablecell colspan="" rowspan=""/> |
| <tablecell colspan="" rowspan=""> |
| <paragraph role="tablecontent" id="par_id3157974" xml-lang="en-US" l10n="U" oldref="100">Correspondence symbol original of</paragraph> |
| </tablecell> |
| </tablerow> |
| </table> |
| <section id="relatedtopics"> |
| <embed href="text/smath/01/03090200.xhp#relationen"/> |
| <embed href="text/smath/01/03091500.xhp#reference"/> |
| </section> |
| </body> |
| </helpdocument> |
