Difference between revisions of "RectangleSum Command"

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<noinclude>{{Manual Page|version=4.0}}</noinclude>
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|function}}
{{command|function}}
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;RectangleSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Rectangles>, <Position for rectangle start> )
;RectangleSum[ <Function>, <Start x-Value>, <End x-Value>, <Number of Rectangles>, <Position for rectangle start> ]:Calculates the sum of rectangles with left height starting at a fraction ''d'' of each interval using ''n'' rectangles. (''0<=d<=1'').
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: Calculates between the ''Start x-Value'' and the ''End x-Value'' the sum of rectangles with left height starting at a fraction ''d'' (0 &#8804; ''d'' &#8804; 1) of each interval, using ''n'' rectangles.
:When ''d''= 0 this is equivalent to the [[LeftSum Command]] and when ''d''=1 this computes the right sum of given function.
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: When ''d'' = 0 it is equivalent to the [[LeftSum Command|LeftSum]] command, and when ''d'' = 1 it computes the right sum of the given function.
:{{Note|1=<br>
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: {{Note|1=<br>
 
:*This command draws the rectangles of the left sum as well.<br>
 
:*This command draws the rectangles of the left sum as well.<br>
:*See also the commands:
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:*This command is designed as a visual aid so won't give accurate answers if the number of rectangles is too large.
:**[[UpperSum Command|UpperSum]]
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:*See also the commands: [[UpperSum Command|UpperSum]], [[LowerSum Command|LowerSum]], [[LeftSum Command|LeftSum]] , [[TrapezoidalSum Command|TrapezoidalSum]]. }}
:**[[LowerSum Command|LowerSum]]
 
:**[[LeftSum Command|LeftSum]]  
 
:**[[TrapezoidalSum Command|TrapezoidalSum]]  
 
}}
 

Latest revision as of 14:28, 17 November 2017


RectangleSum( <Function>, <Start x-Value>, <End x-Value>, <Number of Rectangles>, <Position for rectangle start> )
Calculates between the Start x-Value and the End x-Value the sum of rectangles with left height starting at a fraction d (0 ≤ d ≤ 1) of each interval, using n rectangles.
When d = 0 it is equivalent to the LeftSum command, and when d = 1 it computes the right sum of the given function.
Note:
  • This command draws the rectangles of the left sum as well.
  • This command is designed as a visual aid so won't give accurate answers if the number of rectangles is too large.
  • See also the commands: UpperSum, LowerSum, LeftSum , TrapezoidalSum.
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