Difference between revisions of "Max Command"

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(added example for functions)
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<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
<noinclude>{{Manual Page|version=4.2}}</noinclude>
 
{{command|cas=true|algebra}}
 
{{command|cas=true|algebra}}
;Max[ <Number>, <Number> ]
+
 
:Returns the maximum of the two given numbers.
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:{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}}
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;Max[ <List> ]
;Max[ <List of Numbers> ]
 
 
:Returns the maximum of the numbers within the list.
 
:Returns the maximum of the numbers within the list.
 
:{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}}
 
:{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}}
:{{note| 1=If the input consists of non-numeric objects, then ''Max''[] considers the numbers associated with those objects. For example, ''Max''[''List of Segments''] will yield the maximum segment length.}}
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:{{note| 1=If the input consists of non-numeric objects, then this command considers the numbers associated with those objects. If you have a list of segments for example, the command ''Max[ <List> ]'' will yield the maximum segment length.}}
 +
 
  
;Max[ <Function>, <left-x>, <right-x> ]
 
:Calculates the maximum point of the function in the given interval. The function should be continuous and have only one ''local'' maximum point in the interval.
 
:{{example| 1=<code><nowiki>Max[ x^3 + 2x^2 - 1, -2, 0]</nowiki></code> creates the point (-1.33, 0.19).}}
 
 
;Max[ <Interval> ]
 
;Max[ <Interval> ]
 
:Returns the upper bound of the interval.
 
:Returns the upper bound of the interval.
 
:{{example| 1=<code><nowiki>Max[2 < x < 3]</nowiki></code> yields ''3''.}}
 
:{{example| 1=<code><nowiki>Max[2 < x < 3]</nowiki></code> yields ''3''.}}
 
:{{note| 1=Open and closed intervals are treated the same.}}
 
:{{note| 1=Open and closed intervals are treated the same.}}
{{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}}
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==CAS Syntax==
+
 
 
;Max[ <Number>, <Number> ]
 
;Max[ <Number>, <Number> ]
 
:Returns the maximum of the two given numbers.
 
:Returns the maximum of the two given numbers.
 
:{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}}
 
:{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}}
;Max[ <List of Numbers> ]
+
 
 +
 
 +
;Max[ <Function>, <Start x-Value>, <End x-Value> ]
 +
:Calculates the maximum point of the function in the given interval. The function should be continuous and have only one ''local'' maximum point in the interval.
 +
:{{example| 1=<code><nowiki>Max[ x^3 + 2x^2 - 1, -2, 0]</nowiki></code> creates the point (-1.33, 0.19).}}
 +
:{{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}}
 +
 
 +
 
 +
==CAS Syntax==
 +
;Max[ <List> ]
 
:Returns the maximum of the numbers within the list.
 
:Returns the maximum of the numbers within the list.
 
:{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}}
 
:{{example| 1=<code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.}}
{{note| 1=See also [[Extremum Command]] and [[Min Command]].}}
+
:{{note| 1=See also [[Extremum Command]] and [[Min Command]].}}
 +
 
 +
 
 +
;Max[ <Number>, <Number> ]
 +
:Returns the maximum of the two given numbers.
 +
:{{example| 1=<code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.}}

Revision as of 15:34, 8 July 2013




Max[ <List> ]
Returns the maximum of the numbers within the list.
Example: Max[{-2, 12, -23, 17, 15}] yields 17.
Note: If the input consists of non-numeric objects, then this command considers the numbers associated with those objects. If you have a list of segments for example, the command Max[ <List> ] will yield the maximum segment length.


Max[ <Interval> ]
Returns the upper bound of the interval.
Example: Max[2 < x < 3] yields 3.
Note: Open and closed intervals are treated the same.


Max[ <Number>, <Number> ]
Returns the maximum of the two given numbers.
Example: Max[12, 15] yields 15.


Max[ <Function>, <Start x-Value>, <End x-Value> ]
Calculates the maximum point of the function in the given interval. The function should be continuous and have only one local maximum point in the interval.
Example: Max[ x^3 + 2x^2 - 1, -2, 0] creates the point (-1.33, 0.19).


CAS Syntax

Max[ <List> ]
Returns the maximum of the numbers within the list.
Example: Max[{-2, 12, -23, 17, 15}] yields 17.
Note: See also Extremum Command and Min Command.


Max[ <Number>, <Number> ]
Returns the maximum of the two given numbers.
Example: Max[12, 15] yields 15.
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