Difference between revisions of "Manuals/calci/UNIFORM"

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(Created page with "<div id="6SpaceContent" class="zcontent" align="left"> '''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution,  NewTableFlag, MinNum, MaxNum) where, '''Num...")
 
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<div id="6SpaceContent" class="zcontent" align="left">
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<div style="font-size:30px">'''UNIFORMDISTRIBUTED(x,ll,ul)'''</div><br/>
 +
*<math>x </math> and <math> ar2 </math>  is the value of the function.
 +
*<math>ll </math> is the lower limit.
 +
*<math> ul </math> is the upper limit of the function.
  
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'''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution,  NewTableFlag, MinNum, MaxNum)
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==Description==
 +
*This function gives the probability of the unifom distribution.
 +
*Uniform distribution is a symmetric probability distribution.
 +
*It is also called rectangular distribution.
 +
*In UNIFORMDISTRIBUTED(x,ll,ul) ,x is the numeric value to find the probability of the distribution, ll is the lower limit value and ul is the upper limit value.
 +
*The probability density function of the uniform distribution in the interval [a,b] are:
 +
<math>P(x)=\begin{cases}
 +
            0    &for &x<a,\\
 +
            1/b-a &for &a<x<b \\
 +
            0    &for &x>b. \end{cases}
  
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where,
 
  
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'''Number '''- represents the number of variables.
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==Examples==
 +
#UNIFORMDISTRIBUTED(4,2,3)=
 +
4030484680552036  2.6280935418326408  2.2810050058178604  2.97846262995153679
 +
#UNIFORMDISTRIBUTED(5,3,6) =
 +
5.522187389200553  3.566177821950987  5.04674904467538  5.301322509767488  4.9094569575972855
  
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'''RandomNumber '''- represents the number of random number
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==See Also==
  
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'''Distribution '''- represents the distribution method(i.e uniform) to create random values.
 
  
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'''NewTableFlag''' - is the TRUE or FALSE.If set as TRUE,the result in new sheet. If NewTableFlag is omitted, it assumed to be FALSE.
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==References==
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'''MinNum '''- represents the lower bound.
 
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'''MaxNum '''- represents the upper bound.
 
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</div>
 
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----
 
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<div id="1SpaceContent" class="zcontent" align="left">In Uniform Distribution, elements has an equal probability of being chosen at each draw.</div>
 
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----
 
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<div id="7SpaceContent" class="zcontent" align="left">
 
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Lets see an example in (Column3Row1)
 
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<nowiki>=RANDOMNUMBERGENERATION(3, 4, "Uniform", TRUE, 3, 4)</nowiki>
 
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RANDOMNUMBERGENERATION returns the result in new sheet(5Space).
 
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<nowiki>=RANDOMNUMBERGENERATION(-3, 4, "Uniform", TRUE, 3, 4)</nowiki>
 
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RANKANDPERCENTILE returns the #ERROR(Number &lt; 0).
 
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</div>
 
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----
 
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<div id="12SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="left">
 
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RANDOM NUMBER GENERATION : UNIFORM
 
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</div></div>
 
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----
 
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<div id="10SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Syntax </div><div class="ZEditBox"><center></center></div></div>
 
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----
 
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<div id="4SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Remarks </div></div>
 
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----
 
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<div id="3SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Examples </div></div>
 
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----
 
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<div id="11SpaceContent" class="zcontent" align="left"><div class="ZEditBox" align="justify">Description </div></div>
 
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----
 
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<div id="8SpaceContent" class="zcontent" align="left">
 
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If Number &lt; 0 or RandomNumber &lt; 0, RANDOMNUMBERGENERATION returns the #ERROR.
 
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</div>
 
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----
 
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<div id="2SpaceContent" class="zcontent" align="left">
 
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{| id="TABLE3" class="SpreadSheet blue"
 
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|- class="even"
 
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| class=" " |
 
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| Column1
 
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| Column2
 
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| class="  " | Column3
 
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| Column4
 
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|- class="odd"
 
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| class=" " | Row1
 
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| class="sshl_f" | 5Space
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|- class="even"
 
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| class="  " | Row2
 
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| class="    " |
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|- class="odd"
 
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| Row3
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|- class="even"
 
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| Row4
 
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| class="sshl_f" |
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|- class="odd"
 
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| class=" " | Row5
 
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| class="    SelectTD1 ChangeBGColor SelectTD1" |
 
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<div id="2Space_Handle" class="zhandles" title="Click and Drag to resize CALCI Column/Row/Cell. It is EZ!"></div><div id="2Space_Copy" class="zhandles" title="Click and Drag over to AutoFill other cells."></div><div id="2Space_Drag" class="zhandles" title="Click and Drag to Move/Copy Area.">[[Image:copy-cube.gif]]  </div>
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|- class="even"
 
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| Row6
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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| class=" " |
 
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|}
 
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<div align="left">[[Image:calci1.gif]]</div></div>
 
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----
 
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<div id="5SpaceContent" class="zcontent" align="left">
 
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{| class="SpreadSheet blue"
 
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|+ Random Number Generation<br />Uniform Distribution
 
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|- class="even"
 
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| 3.9179240869362353
 
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| 1.9353770981878542
 
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| 3.1999177033935786
 
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|- class="odd"
 
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| 2.6672694494628155
 
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| 2.304309051607576
 
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| 3.5802220587629203
 
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|- class="even"
 
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| 3.463705677339731
 
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| 3.0560718547489056
 
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| 2.2494758116026307
 
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|- class="odd"
 
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| 2.561365618826837
 
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| 2.456471014450667
 
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| 2.4974644940169765
 
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|}
 
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</div>
 
−
----
 

Revision as of 23:16, 6 February 2014

UNIFORMDISTRIBUTED(x,ll,ul)


  • and is the value of the function.
  • is the lower limit.
  • is the upper limit of the function.

Description

  • This function gives the probability of the unifom distribution.
  • Uniform distribution is a symmetric probability distribution.
  • It is also called rectangular distribution.
  • In UNIFORMDISTRIBUTED(x,ll,ul) ,x is the numeric value to find the probability of the distribution, ll is the lower limit value and ul is the upper limit value.
  • The probability density function of the uniform distribution in the interval [a,b] are:

<math>P(x)=\begin{cases} 

            0     &for &x<a,\\ 
            1/b-a &for &a<xb. \end{cases}


Examples

  1. UNIFORMDISTRIBUTED(4,2,3)=

4030484680552036 2.6280935418326408 2.2810050058178604 2.97846262995153679

  1. UNIFORMDISTRIBUTED(5,3,6) =

5.522187389200553 3.566177821950987 5.04674904467538 5.301322509767488 4.9094569575972855

See Also

References
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