<p class="Head1"><help:help-id value="HID_SMA_FUNCTIONS_TBX"/><help:help-id value="HID_SMA_FUNCTIONS_CAT"/><help:key-word value="functions; in %PRODUCTNAME Math" tag="kw67298_1"/><help:link Id="67298">Functions</help:link></p>
<p class="Paragraph"><help:help-text value="visible">Choose a function in the lower part of the window.</help:help-text> These functions 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. Any functions not contained in the Selection window need to be entered manually in the Commands window.</p>
<p class="Paragraph">Following is a list of all functions, whereby only the ones with an icon can be inserted via the Selection window (View - Selection) or context menu of the <span class="T1">Commands</span> window.</p>
<p class="Paragraph"><help:key-word value="natural logarithms" tag="kw67298_30" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="logarithms; natural" tag="kw67298_29" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a natural logarithm with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">ln(<?>) </span><text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="exponential functions" tag="kw67298_28" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="functions; exponential" tag="kw67298_27" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an exponential function with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">exp(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="logarithms" tag="kw67298_26" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a logarithm.</help:help-text> Instead of using the icon, you can directly type <span class="T1">log(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="variables; with right exponents" tag="kw67298_25" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="exponents; variables with right" tag="kw67298_24" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">This icon inserts a <span class="T1">variable with right exponent</span>.</help:help-text> Entering <span class="T1"><?>^{<?>}</span> in the Commands window has the same effect. You can replace the <span class="T1">^</span> character with <span class="T1">rsup</span> or <span class="T1">sup</span>.</p>
<p class="Paragraph"><help:key-word value="sine" tag="kw67298_23" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a sine symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">sin(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="cosine" tag="kw67298_22" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a cosine symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">cos(<?>) </span><text:s text:c="" xmlns:text="http://openoffice.org/2000/text"/>in the Commands window.</p>
<p class="Paragraph"><help:key-word value="tangent" tag="kw67298_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">tangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">tan<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="cotangent" tag="kw67298_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">cotangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">cot(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="hyperbolic sine" tag="kw67298_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">hyperbolic sine</span> with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">sinh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="square root" tag="kw67298_18" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="root; square" tag="kw67298_17" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">square root</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">sqrt(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="hyperbolic cosine" tag="kw67298_16" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">hyperbolic cosine</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">cosh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="hyperbolic tangent" tag="kw67298_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">hyperbolic tangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">tanh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="hyperbolic cotangent" tag="kw67298_14" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">hyperbolic cotangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">coth(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="root; nth" tag="kw67298_13" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">nth root</span> symbol with two placeholders.</help:help-text> Instead of using the icon, you can directly type <span class="T1">nroot n x</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="arc sine" tag="kw67298_12" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">arc sine</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arcsin(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="arc cosine" tag="kw67298_11" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">arc cosine</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arccos(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">arc tangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arctan(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="arc cotangent" tag="kw67298_10" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">arc cotangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arccot(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="absolute values" tag="kw67298_9" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="values; absolute" tag="kw67298_8" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">absolute value</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">abs(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">area hyperbolic sine</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arsinh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="area hyperbolic cosine" tag="kw67298_7" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">area hyperbolic cosine</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arcosh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="area hyperbolic tangent" tag="kw67298_6" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">area hyperbolic tangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">artanh(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="area hyperbolic cotangent" tag="kw67298_5" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts an <span class="T1">area hyperbolic cotangent</span> symbol with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">arcoth(<?>)</span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="factorial" tag="kw67298_4" xmlns:help="http://openoffice.org/2000/help"/><help:help-text value="visible" xmlns:help="http://openoffice.org/2000/help">Inserts a <span class="T1">factorial symbol</span> with a placeholder.</help:help-text> Instead of using the icon, you can directly type <span class="T1">fact <?></span> in the Commands window.</p>
<p class="Paragraph"><help:key-word value="indexes; in functions" tag="kw67298_3" xmlns:help="http://openoffice.org/2000/help"/><help:key-word value="exponents; in functions" tag="kw67298_2" xmlns:help="http://openoffice.org/2000/help"/>You can also assign an index or an exponent to a function. For example, enter <span class="T1">sin^2x+cos^2x=1</span> in the Commands window. The function <span class="T1">func f_x def{partial func f}over{partial x}</span> is another good example.</p>
<p class="Paragraph">When entering functions manually via the Commands window, note that spaces are required for some functions (e.g. abs 5=5 ; abs -3=3).</p>
