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| − | <div id="6SpaceContent" class="zcontent" align="left"> | + | <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. |
| | | | |
| − | '''RANDOMNUMBERGENERATION'''(Number, RandomNumber, Distribution, NewTableFlag, MinNum, MaxNum)
| + | ==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} |
| | | | |
| − | where,
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| | | | |
| − | '''Number '''- represents the number of variables.
| + | ==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 |
| | | | |
| − | '''RandomNumber '''- represents the number of random number
| + | ==See Also== |
| | | | |
| − | '''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.
| + | ==References== |
| − | | |
| − | '''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 < 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 < 0 or RandomNumber < 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>
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| − | ----
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