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Extensible Markup Language  |  2003-04-30  |  29.9 KB  |  244 lines
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  123.   
  124.   
  125.   <help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:to-be-embedded Eid="operatoren" xmlns:help="http://openoffice.org/2000/help">
  126.   <p class="Head1"><help:paragraphinfo state="U" number="1"/><help:help-id value="HID_SMA_OPERATORS_TBX"/><help:help-id value="HID_SMA_OPERATORS_CAT"/><help:key-word value="operators; general" tag="kw67309_1"/> <help:link Id="67309">Operators</help:link></p>
  127.   <p class="Paragraph"><help:paragraphinfo state="U" number="35"/><help:help-text value="visible">You can choose among various operators to structure your <span style="font-weight:bold;"><help:productname>%PRODUCTNAME</help:productname> Math</span> formula. All available operators appear in the lower part of the Selection window.</help:help-text> They are also listed in the <help:popup Id="65630" Eid="kontextmenue">context menu</help:popup> of the <span style="font-weight:bold;">Commands</span> window. All operators not contained in the Selection window or in the context menu must be typed manually in the <span style="font-weight:bold;">Commands</span> window.</p>
  128.   <help:paragraphinfo state="E"/></help:to-be-embedded>
  129.   <help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:popup Id="67297" Eid="astopop" xmlns:help="http://openoffice.org/2000/help"><help:embedded Id="65598" Eid="wie"/></help:popup>
  130.   <p class="Paragraph"><help:paragraphinfo state="U" number="36" xmlns:help="http://openoffice.org/2000/help"/>The following is a list of the available operators. An icon next to the operator name indicates that it can be accessed through the Selection window (choose <span class="T1">View - Selection</span>) or through the context menu of the <span class="T1">Commands</span> window.</p>
  131.   <p class="Head3"><help:paragraphinfo state="U" number="37" xmlns:help="http://openoffice.org/2000/help"/>Operator Functions</p>
  132.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle4A">
  133.       <draw:image draw:name="Icon0" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66102" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_LIMX" xmlns:help="http://openoffice.org/2000/help"/>
  134.  
  135.      </span></th><th style="text-align:left;"><span class="Tabelle4B">
  136.       <p class="Paragraph"><help:paragraphinfo state="U" number="11" xmlns:help="http://openoffice.org/2000/help"/>Limit</p>
  137.       <p class="Paragraph"><help:paragraphinfo state="U" number="12" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limit; from x" tag="kw67309_23" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts the <span class="T1">limit sign</span> with one placeholder.</help:help-text> You can also enter <span class="T1">lim <?></span> directly in the <span class="T1">Commands</span> window.</p>
  138.      </span></th></tr></table>
  139.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle2A">
  140.       <draw:image draw:name="Icon1" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66586" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_SUMX" xmlns:help="http://openoffice.org/2000/help"/>
  141.  
  142.      </span></th><th style="text-align:left;"><span class="Tabelle2B">
  143.       <p class="Paragraph"><help:paragraphinfo state="U" number="38" xmlns:help="http://openoffice.org/2000/help"/>Summation</p>
  144.       <p class="Paragraph"><help:paragraphinfo state="U" number="6" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="summation" tag="kw67309_22" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="sums" tag="kw67309_21" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">summation sign</span> with one placeholder.</help:help-text> You can also enter <span class="T1">sum <?></span> directly in the <span class="T1">Commands</span> window.</p>
  145.      </span></th></tr></table>
  146.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  147.       <draw:image draw:name="Icon2" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66276" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_PRODX" xmlns:help="http://openoffice.org/2000/help"/>
  148.  
  149.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  150.       <p class="Paragraph"><help:paragraphinfo state="U" number="40" xmlns:help="http://openoffice.org/2000/help"/>Product</p>
  151.       <p class="Paragraph"><help:paragraphinfo state="U" number="39" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="product" tag="kw67309_20" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">product sign</span> with one placeholder.</help:help-text> You can also type <span class="T1">prod <?></span> directly in the <span class="T1">Commands</span> window.</p>
  152.      </span></th></tr></table>
  153.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  154.       <draw:image draw:name="Icon3" svg:desc="Icon" svg:pixelx="28" svg:pixely="29" svg:width="0.741cm" svg:height="0.767cm" xlink:href="65745" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_COPRODX" xmlns:help="http://openoffice.org/2000/help"/>
  155.  
  156.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  157.       <p class="Paragraph"><help:paragraphinfo state="U" number="9" xmlns:help="http://openoffice.org/2000/help"/>Coproduct</p>
  158.       <p class="Paragraph"><help:paragraphinfo state="U" number="10" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="coproduct" tag="kw67309_19" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">coproduct symbol</span> with one placeholder.</help:help-text> You can also enter <span class="T1">coprod <?></span> directly in the <span class="T1">Commands</span> window.</p>
  159.      </span></th></tr></table>
  160.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle3A">
  161.       <draw:image draw:name="Icon4" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="65951" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_FROMXTOY" xmlns:help="http://openoffice.org/2000/help"/>
  162.  
  163.      </span></th><th style="text-align:left;"><span class="Tabelle3B">
  164.       <p class="Paragraph"><help:paragraphinfo state="U" number="29" xmlns:help="http://openoffice.org/2000/help"/>Upper and Lower Limit</p>
  165.       <p class="Paragraph"><help:paragraphinfo state="U" number="30" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="upper and lower limits" tag="kw67309_18" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limits; upper and lower" tag="kw67309_17" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a range statement <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/><span class="T1">upper and lower limit</span> for integral and summation with one placeholder.</help:help-text> You can also type <span class="T1"><text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>from{<?>} to{<?>} <?></span> directly in the <span class="T1">Commands</span> window. Limit statements must be combined with the appropriate operators. <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>The limits will be centered above/below the summation character.</p>
  166.      </span></th></tr></table>
  167.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  168.       <draw:image draw:name="Icon5" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66014" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_INTX" xmlns:help="http://openoffice.org/2000/help"/>
  169.  
  170.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  171.       <p class="Paragraph"><help:paragraphinfo state="U" number="15" xmlns:help="http://openoffice.org/2000/help"/>Integral</p>
  172.       <p class="Paragraph"><help:paragraphinfo state="U" number="16" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="integrals; simple" tag="kw67309_16" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">integral</span> sign with one placeholder.</help:help-text> You can also type <span class="T1">int <?></span> directly in the <span class="T1">Commands</span> window.</p>
  173.      </span></th></tr></table>
  174.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  175.       <draw:image draw:name="Icon6" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66015" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_IINTX" xmlns:help="http://openoffice.org/2000/help"/>
  176.  
  177.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  178.       <p class="Paragraph"><help:paragraphinfo state="U" number="17" xmlns:help="http://openoffice.org/2000/help"/>Double Integral</p>
  179.       <p class="Paragraph"><help:paragraphinfo state="U" number="18" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="integrals; double" tag="kw67309_15" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">double integral</span> symbol with one placeholder.</help:help-text> You can also type <span class="T1">iint <?></span> directly in the <span class="T1">Commands</span> window.</p>
  180.      </span></th></tr></table>
  181.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  182.       <draw:image draw:name="Icon7" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66013" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_IIINTX" xmlns:help="http://openoffice.org/2000/help"/>
  183.  
  184.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  185.       <p class="Paragraph"><help:paragraphinfo state="U" number="19" xmlns:help="http://openoffice.org/2000/help"/>Triple Integral</p>
  186.       <p class="Paragraph"><help:paragraphinfo state="U" number="20" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="integrals; triple" tag="kw67309_14" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts <span class="T1">a triple integral</span> sign with one placeholder.</help:help-text> You can also type <span class="T1">iiint <?></span> directly in the <span class="T1">Commands</span> window.</p>
  187.      </span></th></tr></table>
  188.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle5A">
  189.       <draw:image draw:name="Icon8" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="65950" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_FROMX" xmlns:help="http://openoffice.org/2000/help"/>
  190.  
  191.      </span></th><th style="text-align:left;"><span class="Tabelle5B">
  192.       <p class="Paragraph"><help:paragraphinfo state="U" number="31" xmlns:help="http://openoffice.org/2000/help"/>Lower Limit</p>
  193.       <p class="Paragraph"><help:paragraphinfo state="U" number="32" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="lower limit" tag="kw67309_13" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limits; lower" tag="kw67309_12" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">lower limit</span> range statement for integral and sum with placeholders.</help:help-text> <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>You can also type <span class="T1">from {<?>}<?></span> directly in the <span class="T1">Commands</span> window.</p>
  194.      </span></th></tr></table>
  195.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  196.       <draw:image draw:name="Icon9" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66023" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_LINTX" xmlns:help="http://openoffice.org/2000/help"/>
  197.  
  198.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  199.       <p class="Paragraph"><help:paragraphinfo state="U" number="21" xmlns:help="http://openoffice.org/2000/help"/>Curve Integral</p>
  200.       <p class="Paragraph"><help:paragraphinfo state="U" number="22" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="curve integrals; simple" tag="kw67309_11" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">curve integral</span> symbol with one placeholder.</help:help-text> You can also type <span class="T1">lint <?></span> directly in the <span class="T1">Commands</span> window.</p>
  201.      </span></th></tr></table>
  202.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  203.       <draw:image draw:name="Icon10" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66022" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_LLINTX" xmlns:help="http://openoffice.org/2000/help"/>
  204.  
  205.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  206.       <p class="Paragraph"><help:paragraphinfo state="U" number="23" xmlns:help="http://openoffice.org/2000/help"/>Double Curve Integral</p>
  207.       <p class="Paragraph"><help:paragraphinfo state="U" number="24" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="curve integrals; double" tag="kw67309_10" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">double curve integral</span> symbol with one placeholder.</help:help-text> You can also type <span class="T1">llint <?></span> directly in the <span class="T1">Commands</span> window.</p>
  208.      </span></th></tr></table>
  209.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  210.       <draw:image draw:name="Icon11" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="66021" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_LLLINTX" xmlns:help="http://openoffice.org/2000/help"/>
  211.  
  212.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  213.       <p class="Paragraph"><help:paragraphinfo state="U" number="25" xmlns:help="http://openoffice.org/2000/help"/>Triple Curve Integral</p>
  214.       <p class="Paragraph"><help:paragraphinfo state="U" number="26" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="curve integrals; triple" tag="kw67309_9" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">triple curve integral</span> sign with one placeholder.</help:help-text> You can also type <span class="T1">lllint <?></span> directly in the <span class="T1">Commands</span> window window.</p>
  215.      </span></th></tr></table>
  216.   <table><tr class=""><th style="text-align:left;"><span class="Tabelle1A">
  217.       <draw:image draw:name="Icon12" svg:desc="Icon" svg:pixelx="29" svg:pixely="29" svg:width="0.767cm" svg:height="0.767cm" xlink:href="65949" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/><help:paragraphinfo state="E" xmlns:help="http://openoffice.org/2000/help"/><help:help-id value="HID_SMA_TOX" xmlns:help="http://openoffice.org/2000/help"/>
  218.  
  219.      </span></th><th style="text-align:left;"><span class="Tabelle1B">
  220.       <p class="Paragraph"><help:paragraphinfo state="U" number="33" xmlns:help="http://openoffice.org/2000/help"/>Upper Limit</p>
  221.       <p class="Paragraph"><help:paragraphinfo state="U" number="34" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="upper limit" tag="kw67309_8" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limits; upper" tag="kw67309_7" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts the range statement <span class="T1">upper limit</span> for integral and summation with placeholders</help:help-text> You can also type <span class="T1">to <?><?></span> directly in the <span class="T1">Commands</span> window. Limit statements can only be used if combined with the appropriate operators.</p>
  222.      </span></th></tr></table>
  223.   <table><tr class="Tabelle71"><th class="Tabelle7A1" style="text-align:left;"><span class="Tabelle7A">
  224.       <p class="Paragraph"><draw:image draw:name="Icon13" svg:desc="Tip Icon" svg:pixelx="32" svg:pixely="32" svg:width="0.847cm" svg:height="0.847cm" xlink:href="66732" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/></p>
  225.  
  226.      </span></th><th class="Tabelle7A1" style="text-align:left;"><span class="Tabelle7B">
  227.       <p class="Paragraph"><help:paragraphinfo state="U" number="47" xmlns:help="http://openoffice.org/2000/help"/>You can also add limits to an operator (for example, an integral) by first clicking the desired operator and then clicking the <span class="T1">limit</span> symbol. <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>This method is faster than typing the commands directly.</p>
  228.      </span></th></tr></table>
  229.   <p class="Paragraph"><help:paragraphinfo state="U" number="42" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limit; inferior" tag="kw67309_6" xmlns:help="http://openoffice.org/2000/help"/>Inserts the <span class="T1">limit inferior</span> with one placeholder. You can also type <span class="T1">liminf <?></span> directly in the <span class="T1">Commands</span> window.</p>
  230.   <p class="Paragraph"><help:paragraphinfo state="U" number="43" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limit; superior" tag="kw67309_5" xmlns:help="http://openoffice.org/2000/help"/>Inserts the <span class="T1">Limit superior</span> with one placeholder. You can also type <span class="T1">limsup <?></span> directly in the <span class="T1">Commands</span> window.</p>
  231.   <p class="Paragraph"><help:paragraphinfo state="U" number="45" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="operators; user-defined operators" tag="kw67309_4" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="user-defined operators" tag="kw67309_3" xmlns:help="http://openoffice.org/2000/help"/>By typing <span class="T1">oper</span> in the Commands window, you can insert <span class="T1">user-defined operators</span> in <help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> Math, a feature useful for incorporating special characters into a formula. An example is <span class="T1">oper %theta x</span>. Using the <span class="T1">oper</span> command, you can also insert characters not in the default <help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> character set. <span class="T1">oper</span> can also be used in connection with limits; for example, <span class="T1">oper %union from {i=1} to n x_{i}</span>. In this example, the union symbol is indicated by the name <span class="T1">union</span>. However, this is not one of the predefined symbols. To define it, choose <span class="T1">Tools - Catalog</span>. select <span class="T1">Special</span> as the symbol set in the dialog that appears, then click the <span class="T1">Edit</span> button. <text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>In the next dialog, select <span class="T1">Special</span> as the symbol set again. Enter a meaningful name in the <span class="T1">Symbol</span> text box, for example, "union" and then click the union symbol in the set of symbols. Click <span class="T1">Add</span> and then <span class="T1">OK</span>. Click <span class="T1">Close</span> to close the <span class="T1">Symbols</span> dialog. You are now finished and can type the union symbol in the Commands window, by entering <span class="T1">oper %union</span>.</p>
  232.   <table><tr class="Tabelle61"><th class="Tabelle6A1" style="text-align:left;"><span class="Tabelle6A">
  233.       <p class="Paragraph"><draw:image draw:name="Icon14" svg:desc="Tip Icon" svg:pixelx="32" svg:pixely="32" svg:width="0.847cm" svg:height="0.847cm" xlink:href="66732" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/></p>
  234.  
  235.      </span></th><th class="Tabelle6A1" style="text-align:left;"><span class="Tabelle6B">
  236.       <p class="Paragraph"><help:paragraphinfo state="U" number="48" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="limits; special arrangement" tag="kw67309_2" xmlns:help="http://openoffice.org/2000/help"/>Limits can be arranged in ways other than centered above/below the operator. Use the options provided by <help:productname xmlns:help="http://openoffice.org/2000/help">%PRODUCTNAME</help:productname> Math for working with superscript and subscript indexes. For example, type <span class="T1">sum_a^b c</span> in the Commands window to arrange the limits to the right of the sum symbol. If your limit entries contain longer expressions, you must put them in group brackets, for example, sum_{i=1}^{2*n} b. When formulas are imported from older versions this is done automatically. To change the spacing (gaps) between the characters choose <span class="T1">Format - Spacing - Category - </span><help:link Id="67342" Eid="indizes" xmlns:help="http://openoffice.org/2000/help">Indexes</help:link> or <span class="T1">Format - Spacing - Category - </span><help:link Id="67342" Eid="grenzen" xmlns:help="http://openoffice.org/2000/help">Limits</help:link>. Additional basic information about indexes is given elsewhere in the <help:link Id="67300" xmlns:help="http://openoffice.org/2000/help">Help</help:link>.</p>
  237.      </span></th></tr></table>
  238.   <table><tr class="Tabelle141"><th class="Tabelle14A1" style="text-align:left;"><span class="Tabelle14A">
  239.       <p class="Paragraph"><draw:image draw:name="Icon15" svg:desc="Warning Icon" svg:pixelx="32" svg:pixely="32" svg:width="0.847cm" svg:height="0.847cm" xlink:href="65640" draw:filter-name="" xmlns:draw="http://openoffice.org/2000/drawing" xmlns:svg="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"/></p>
  240.  
  241.      </span></th><th class="Tabelle14A1" style="text-align:left;"><span class="Tabelle14B">
  242.       <p class="Paragraph"><help:paragraphinfo state="U" number="46" xmlns:help="http://openoffice.org/2000/help"/>When you type information manually in the Commands window, note that a number of operators require spaces for correct structure. This is especially true when your operators are supplied with values instead of placeholders, for example, lim a_{n}=a.</p>
  243.      </span></th></tr></table>
  244.  </body></html>