Difference between revisions of "Max Command"
From GeoGebra Manual
(same as Min command for functions method (numerically)) |
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− | <noinclude>{{Manual Page|version= | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}} |
− | {{command|algebra}} | + | ;Max( <List> ) |
− | ; Max | + | :Returns the maximum of the numbers within the list. |
− | + | :{{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( <List> )'' will yield the maximum segment length.}} |
− | ;Max | + | ;Max( <Interval> ) |
− | :Calculates the maximum point | + | :Returns the upper bound of the interval. |
− | {{ | + | :{{example| 1=<code><nowiki>Max(2 < x < 3)</nowiki></code> yields ''3''.}} |
− | ;Max | + | :{{note| 1=Open and closed intervals are treated the same.}} |
− | :Returns the | + | ;Max( <Number>, <Number> ) |
− | + | :Returns the maximum of the two given numbers. | |
+ | :{{example| 1=<code><nowiki>Max(12, 15)</nowiki></code> yields ''15''.}} | ||
+ | ;Max( <Function>, <Start x-Value>, <End x-Value> ) | ||
+ | :Calculates (numerically) the '''local''' 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]].}} | ||
+ | :{{example| 1=<code><nowiki>Max(exp(x)x^2,-3,-1)</nowiki></code> 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| 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=<div> | ||
+ | *If you want the maximum of two functions <code>f(x)</code> and <code>g(x)</code> then you can define <code>(f(x) + g(x) + abs(f(x) - g(x)))/2</code> | ||
+ | *See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].</div>}} |
Revision as of 09:09, 25 October 2019
- 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 (numerically) the local 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:
- If you want the maximum of two functions
f(x)
andg(x)
then you can define(f(x) + g(x) + abs(f(x) - g(x)))/2
- See also Extremum Command, Min Command and Function Inspector Tool.