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− | <div id="16SpaceContent" align="left"><div class="ZEditBox" align="justify"> | + | <div style="font-size:30px">'''ATANH(Number)'''</div><br/> |
| + | * Number is any value between -1 and 1. |
| + | **ATANH() returns the inverse hyperbolic tangent of a number. |
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− | Syntax
| + | ==Description== |
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− | </div></div> | + | *This function gives the Inverse Hyperbolic Tangent of a number. |
− | ---- | + | *Here 'z' is any number between -1 and 1. ie <math>-1<z<1</math> |
− | <div id="2SpaceContent" align="left"><div class="ZEditBox" align="justify">
| + | *Inverse Hyperbolic Tangent of a number is defined by <math>Atanh(z)=\frac{1}{2}\log_e(\frac{1+z}{1-z})</math> |
| + | *TANH(-z)=-TANH(z). Also ATANH(TANH(z))=z |
| + | *ATANH(1)=Infinty |
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− | Examples | + | == Examples == |
| + | '''ATANH(z)''' |
| + | *'''z''' is any real number between -1 & 1. |
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− | </div></div>
| + | {|id="TABLE1" class="SpreadSheet blue" |
− | ----
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− | <div id="8SpaceContent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman">''''''''''''<font size="6"> </font>''' '''''''''</font>'''</div></div>
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− | ----
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− | <div id="11SpaceContent" align="left"><div class="ZEditBox mceEditable" align="justify">
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− | <font size="5">Description</font>
| + | |- class="even" |
| + | |'''ATANH(z)''' |
| + | |'''Value''' |
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− | </div></div>
| + | |- class="odd" |
− | ----
| + | | ATANH(0.1) |
− | <div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="6">ATANH</font></div></div>
| + | | 0.100353477 |
− | ----
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− | <div id="14SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="5Space" class="gamizbox" title="5Space"><div id="5SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="5SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="5SpaceRollupContent" align="center"></span></span></div><div id="5SpaceCover"><div id="5SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">
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− | <font size="3"><font face="Times New Roman">Calci returns the inverse hyperbolic tangent of an integer and that number should be between -1 and 1. </font></font>
| + | |- class="even" |
− | | + | | ATANH(0.75) |
− | </div></div>
| + | | 0.97295507 |
− | ----
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− | <div id="12SpaceContent" class="zcontent" align="left"><br /><br /><br /></div></div>
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− | ----
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− | <div id="6SpaceContent" class="zcontent" align="left">
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− | {| id="TABLE3" class="SpreadSheet blue"
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− | <div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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− | | Column1
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− | | class=" " | Column2
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− | | class=" " | Column3
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− | | class=" " | Column4
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| |- class="odd" | | |- class="odd" |
− | | class=" " | Row1 | + | | ATANH(-0.3) |
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| + | | 0.309519604 |
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− | | class="sshl_f " | .1
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− | | class="sshl_f" | 0.1003
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− | | class="sshl_f SelectTD SelectTD" |
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− | <div id="6Space_Handle" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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− | | class="sshl_f" |
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− | |- class="odd"
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− | | class=" " | Row5
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| |} | | |} |
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− | <div align="left">[[Image:calci1.gif]]</div></div>
| + | ==Related Videos== |
− | ----
| + | |
− | <div id="1SpaceContent" class="zcontent" align="left"><br /><br /><br /><div id="4Space" class="gamizbox" title="4Space"><div id="4SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="4SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="4SpaceRollupContent" align="center"></span></span></div><div id="4SpaceCover"><div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">
| + | {{#ev:youtube|vfOWS8Y_rQw|280|center|Inverse Hyperbolic TAN}} |
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− | <font size="3"><font face="Times New Roman">ATANH (n)</font></font>
| + | ==See Also== |
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− | <font size="3"><font face="Times New Roman">Where n is a number between 1 and -1.</font></font>
| + | *[[Manuals/calci/COS| COS]] |
| + | *[[Manuals/calci/COSH | COSH]] |
| + | *[[Manuals/calci/ACOS | ACOS]] |
| + | *[[Manuals/calci/DCOS | DCOS]] |
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− | </div></div>
| + | ==References== |
− | ----
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− | <div id="3SpaceContent" class="zcontent" align="left">
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− | Lets see an example in (Column1, Row 3)
| + | *[http://en.wikipedia.org/wiki/Trigonometric_functions List of Trigonometric Functions] |
| + | *[http://en.wikipedia.org/wiki/Hyperbolic_function Hyperbolic Function] |
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− | ATANH (A)
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− | ATANH (C1R3)''''''
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− | That is ATANH (.1) is 0.1003
| + | *[[Z_API_Functions | List of Main Z Functions]] |
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− | </div></div>
| + | *[[ Z3 | Z3 home ]] |
− | ----
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− | </div></div></div></div>
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