Difference between revisions of "Max Command"
From GeoGebra Manual
(For polynomials you should use the Extremum Command + change example to non-polynomial) |
(command syntax: changed [ ] into ( )) |
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<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} | ||
− | ;Max | + | ;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 | + | :{{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 this command considers the numbers associated with those objects. If you have a list of segments for example, the command ''Max | + | :{{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 | + | ;Max( <Interval> ) |
:Returns the upper bound of the interval. | :Returns the upper bound of the interval. | ||
− | :{{example| 1=<code><nowiki>Max | + | :{{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.}} | ||
− | ;Max | + | ;Max( <Number>, <Number> ) |
:Returns the maximum of the two given numbers. | :Returns the maximum of the two given numbers. | ||
− | :{{example| 1=<code><nowiki>Max | + | :{{example| 1=<code><nowiki>Max(12, 15)</nowiki></code> yields ''15''.}} |
− | ;Max | + | ;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. | :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. | ||
{{note| 1=For polynomials you should use the [[Extremum Command]].}} | {{note| 1=For polynomials you should use the [[Extremum Command]].}} | ||
− | :{{example| 1=<code><nowiki>Max | + | :{{example| 1=<code><nowiki>Max(exp(x)x^2,-3,-1)</nowiki></code> creates the point (-2, 0.54134).}} |
− | ;Max | + | ;Max(<List of Data>, <List of Frequencies> ) |
:Returns the maximum of the list of data with corresponding frequencies. | :Returns the maximum of the list of data with corresponding frequencies. | ||
− | :{{example| 1=<code><nowiki>Max | + | :{{example| 1=<code><nowiki>Max({1, 2, 3, 4, 5}, {5, 3, 4, 2, 0})</nowiki></code> yields 4, the highest number of the list whose frequency is greater than 0.}} |
{{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}} | {{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}} |
Revision as of 12:57, 5 October 2017
- 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.
Note: For polynomials you should use the Extremum Command.
- Example:
Max(exp(x)x^2,-3,-1)
creates the point (-2, 0.54134).
- Max(<List of Data>, <List of Frequencies> )
- Returns the maximum of the list of data with corresponding frequencies.
- Example:
Max({1, 2, 3, 4, 5}, {5, 3, 4, 2, 0})
yields 4, the highest number of the list whose frequency is greater than 0.
Note: See also Extremum Command, Min Command and Function Inspector Tool.