Difference between revisions of "Manuals/calci/FACTDOUBLE"

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=FACTDOUBLE(N)=
  
Syntax
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*where, <math>N</math> is a positive integer whose double factorial is to be found.
  
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FACTDOUBLE() calculates the double factorial of a number.
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Remarks
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== Description ==
  
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FACTDOUBLE(N)
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Examples
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e.g. FACTDOUBLE(6) displays '''48''' as a result.
  
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*<math>N</math> should be a positive integer.
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*The factorial of an even number is calculated as -
<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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<font size="5">Description</font>
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<math>N!! = N * (N-2) * (N-4) * .....4 * 2</math>
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*The factorial of an odd number is calculated as -
  
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<math>N!! = N * (N-2) * (N-4) * .....3 * 1</math>
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*If <math>N</math> is negative, Calci displays #N/A error message.
<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">'''<font face="Times New Roman"> <font size="6">FACTDOUBLE</font> </font>'''</div></div>
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*If <math>N</math> is not an integer, it is truncated to calculate the double factorial.
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*If <math>N</math> is invalid, Calci displays #NULL error message.
<div id="3SpaceContent" class="zcontent" align="left"><br /><div id="7Space" class="gamizbox" title="7Space"><div id="7SpaceHeader" class="zheaderstyle" title="Double-click to start and stop editing the header."><center></center></div><div id="7SpaceRollup" title="Double-click to rolldown" align="left"><span><span id="7SpaceRollupContent" align="center"></span></span></div><div id="7SpaceCover"><div id="7SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify"><font size="3"><font face="Times New Roman"> '''FACTDOUBLE'''('''numr''')
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*The double factorial of series of numbers can be calculated as -
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e.g. FACTDOUBLE(1..5) calculates double factorial of numbers from 1 to 5 and displays result as '''1  2  3  8  15'''.
  
Where num is the value to which double factorial is returned.
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== Examples ==
  
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·        FACTDOUBLE returns the error value when number is nonnumeric or negative
 
 
<font size="3"><font face="Times New Roman"> </font></font>
 
 
Formula:-
 
 
·        If number is even, the following formula is to be used
 
 
If number is odd:
 
 
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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">It calculates the double factorial of a number.</div></div>
 
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Lets see an example in (Column1, Row 1)
 
 
FACTDOUBLE (numr)
 
 
FACTDOUBLE (C1R1)''''''
 
 
That is FACTDOUBLE (9) is 945
 
 
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<div id="6SpaceContent" class="zcontent" align="left">
  
 
{| id="TABLE3" class="SpreadSheet blue"
 
{| id="TABLE3" class="SpreadSheet blue"
 
|- class="even"
 
|- class="even"
| class="  " |
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| class="  " | '''Function'''
<div id="6Space_Copy" title="Click and Drag over to AutoFill other cells."></div>
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| class="  " | '''Output'''
| Column1
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| class="  " | Column2
 
| class="  " | Column3
 
| class="  " | Column4
 
 
|- class="odd"
 
|- class="odd"
| class=" " | Row1
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| class="sshl_f" |FACTDOUBLE(7)
| class="  sshl_f " | 9
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| class="sshl_f" |105
| class="sshl_f" | 945
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| class="sshl_f" |
 
| class="sshl_f" |
 
 
|- class="even"
 
|- class="even"
| class="  " | Row2
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| class="sshl_f" |FACTDOUBLE(0)
| class="sshl_f" |
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| class="sshl_f" |1
| 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>
 
| class="sshl_f" |
 
| class="sshl_f" |
 
 
|- class="odd"
 
|- class="odd"
| Row3
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| class="sshl_f" |FACTDOUBLE(4.2)
| class="sshl_f" |
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| class="sshl_f" |8
| class="sshl_f" |
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| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="even"
 
| Row4
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
|- class="odd"
 
| class=" " | Row5
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
 
|- class="even"
 
|- class="even"
| Row6
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| class="sshl_f" |FACTDOUBLE(8)
| class="sshl_f" |
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| class="sshl_f" |84
| class="sshl_f" |
 
| class="sshl_f" |
 
| class="sshl_f" |
 
 
|}
 
|}
  
<div align="left">[[Image:calci1.gif]]</div></div>
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== See Also ==
----
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</div></div></div></div></div></div></div></div></div></div></div></div>
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*[[Manuals/calci/FACT | FACT]]
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==References==
 +
 
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*[http://en.wikipedia.org/wiki/Double_factorial Double Factorial]

Revision as of 18:39, 11 January 2014

FACTDOUBLE(N)

  • where, is a positive integer whose double factorial is to be found.

FACTDOUBLE() calculates the double factorial of a number.

Description

FACTDOUBLE(N)

e.g. FACTDOUBLE(6) displays 48 as a result.

  • should be a positive integer.
  • The factorial of an even number is calculated as -

  • The factorial of an odd number is calculated as -

  • If is negative, Calci displays #N/A error message.
  • If is not an integer, it is truncated to calculate the double factorial.
  • If is invalid, Calci displays #NULL error message.
  • The double factorial of series of numbers can be calculated as -

e.g. FACTDOUBLE(1..5) calculates double factorial of numbers from 1 to 5 and displays result as 1 2 3 8 15.

Examples

Function Output
FACTDOUBLE(7) 105
FACTDOUBLE(0) 1
FACTDOUBLE(4.2) 8
FACTDOUBLE(8) 84

See Also

References