<p class="Paragraph"><help:help-text value="visible">Assign different set operators to the characters in your <span style="font-weight:bold;"><help:productname>%PRODUCTNAME</help:productname> Math</span> formula. The individual operators are shown in the lower section of the Selection window</help:help-text>. Call the <help:popup Id="65630" Eid="kontextmenue">context menu</help:popup> in the <span style="font-weight:bold;">Commands</span> window to see an identical list of the individual functions. Any operators not found in the Selection window have to be entered directly in the Commands window. You can also directly insert other parts of the formula even if symbols already exist for them.</p>
<p class="Paragraph">After clicking the <span class="T1">Set Operations</span> icon in the Selection window additional icons will be shown in the lower part of this window. Simply click a symbol to incorporate the operator in the formula being edited in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is included in" tag="kw67339_38" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="included in" tag="kw67339_37" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use the icon to insert the <span class="T1">is included in</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?> in <?></span> directly into the Commands window.</p>
<p class="Paragraph"><help:key-word value="is not included in" tag="kw67339_36" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="not included in" tag="kw67339_35" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">is not included in</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?> notin <?> </span>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="owns" tag="kw67339_34" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="includes" tag="kw67339_33" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the set operator <span class="T1">includes </span>with two placeholders.</help:help-text> You can also enter <span class="T1"><?> owns <?></span> or <span class="T1"><?> ni <?></span> directly in the Commands window.</p>
<p class="Paragraph"><help:key-word value="empty set" tag="kw67339_32" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert an <span class="T1">empty set</span>.</help:help-text> Enter <span class="T1">emptyset</span> in the Commands window, in order to insert an empty set into your document.</p>
<p class="Paragraph"><help:key-word value="intersection; of sets" tag="kw67339_31" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert two placeholders with the set operator <span class="T1">intersection of sets </span>.</help:help-text> The same happens if you enter <span class="T1"><?> intersection <?></span> Commands window.</p>
<p class="Paragraph"><help:key-word value="union; of sets" tag="kw67339_30" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">union</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?> union <?> </span>directly in the Commands window.</p>
<p class="Paragraph"><help:key-word value="difference" tag="kw67339_29" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">difference</span> set operator.</help:help-text> You can also enter <span class="T1"><?> setminus <?></span> or <span class="T1"><?> bslash <?></span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="quotient set" tag="kw67339_28" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a slash for creating a <span class="T1">quotient set</span> with two placeholders.</help:help-text> Enter <span class="T1"><?>slash<?></span> in the Commands window, to achieve the same result.</p>
<p class="Paragraph"><help:key-word value="cardinal number" tag="kw67339_27" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a <span class="T1">cardinal number</span>. </help:help-text> You can achieve the same result by entering <span class="T1">aleph</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is subset of" tag="kw67339_26" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="subset of" tag="kw67339_25" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">is a subset of</span> set operator.</help:help-text> You can also enter <span class="T1"><?>subset<?></span> directly in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is subset or equal to" tag="kw67339_24" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="subset or equal to" tag="kw67339_23" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">is a subset or equal to</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?>subseteq<?></span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is superset of" tag="kw67339_22" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="superset of" tag="kw67339_21" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the set operator <span class="T1">is a superset of</span> and two placeholders.</help:help-text> You can also enter <span class="T1"><?>supset<?></span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is a superset or equal to" tag="kw67339_20" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="superset or equal to" tag="kw67339_19" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the set operator <span class="T1">is a super set or equal to</span> with two placeholders.</help:help-text> Alternatively, you can enter <span class="T1"><?>supseteq<?> </span><text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is not subset" tag="kw67339_18" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="not subset" tag="kw67339_17" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="subset; is not" tag="kw67339_16" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">not subset</span> set operator with two placeholders.</help:help-text> Instead of this, you can also enter <span class="T1"><?>nsubset<?></span>.</p>
<p class="Paragraph"><help:key-word value="is not subset or equal" tag="kw67339_15" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="not subset or equal" tag="kw67339_14" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="subset or equal; is not" tag="kw67339_13" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">not subset or equal</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?>nsubseteq<?> </span><text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is not superset" tag="kw67339_12" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="not superset" tag="kw67339_11" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="superset; is not" tag="kw67339_10" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">not superset</span> set operator with two placeholders.</help:help-text> You can also enter <span class="T1"><?>nsupset<?> </span>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="is not superset or equal" tag="kw67339_9" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="not superset or equal" tag="kw67339_8" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="superset or equal; is not" tag="kw67339_7" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert the <span class="T1">not superset or equal</span> set operator with two placeholders.</help:help-text> Instead of this you can type <span class="T1"><?>nsupseteq<?> </span>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="set of natural numbers" tag="kw67339_6" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a character for the <span class="T1">set of natural numbers</span>.</help:help-text> Instead of this, you can enter <span class="T1">setn</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="set of whole numbers" tag="kw67339_5" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a character for the <span class="T1">set of whole numbers</span>.</help:help-text> You can also do this by entering <span class="T1">setz</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="set of rational numbers" tag="kw67339_4" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a character for the <span class="T1">set of rational numbers</span>.</help:help-text> You can also do this by directly entering <span class="T1">setq</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="set of real numbers" tag="kw67339_3" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a character for the <span class="T1">set of real numbers</span>.</help:help-text> Instead of this, you can enter <span class="T1">setr</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="set of complex numbers" tag="kw67339_2" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Use this icon to insert a character for the <span class="T1">set of complex numbers</span>.</help:help-text> You can also enter <span class="T1">setc</span> in the Commands window.</p>
<p class="Paragraph">Be sure to leave spaces (gaps) between values and commands when entering them manually in the Commands window. This ensures that the correct structure is achieved.</p>