Difference between revisions of "Max Command"

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) and g(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.

@@ Line 1: / Line 1: @@
-<noinclude>{{Manual Page|version=4.2}}</noinclude>
+<noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|algebra}}
-{{command|cas=true|algebra}}
+;Max( <List> )
-;Max[ <Number a>, <Number b> ]
+:Returns the maximum of the numbers within the list.
-:Gives the maximum of the given numbers ''a'' and ''b''.
+:{{example| 1=<code><nowiki>Max({-2, 12, -23, 17, 15})</nowiki></code> yields ''17''.}}
-:{{example| 1=<div><code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.</div>}}
+:{{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( &lt;List> )'' will yield the maximum segment length.}}
-;Max[ <List of Numbers> ]
+;Max( <Interval> )
-:Gives the maximum of the numbers within the list.
+:Returns the upper bound of the interval.
-:{{example| 1=<div><code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.</div>}}
+:{{example| 1=<code><nowiki>Max(2 < x < 3)</nowiki></code> yields ''3''.}}
-:{{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.}}
-;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 maximum point in the interval.
-;Max[ <Interval> ]
-:Gives the upper bound of the interval.
-:{{example| 1=<div><code><nowiki>Max[2 < x < 3]</nowiki></code> yields ''3''.</div>}}
 :{{note| 1=Open and closed intervals are treated the same.}}
-{{note| 1=See also [[Extremum Command]], [[Min Command]] and [[Function Inspector Tool]].}}
+;Max( <Number>, <Number> )
-==CAS Syntax==
+:Returns the maximum of the two given numbers.
-;Max[ <Number a>, <Number b> ]
+:{{example| 1=<code><nowiki>Max(12, 15)</nowiki></code> yields ''15''.}}
-:Gives the maximum of the given numbers ''a'' and ''b''.
+;Max( <Function>, <Start x-Value>, <End x-Value> )
-:{{example| 1=<div><code><nowiki>Max[12, 15]</nowiki></code> yields ''15''.</div>}}
+: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.
-;Max[ <List of Numbers> ]
+:{{note| 1=For polynomials you should use the [[Extremum Command]].}}
-:Gives the maximum of the numbers within the list.
+:{{example| 1=<code><nowiki>Max(exp(x)x^2,-3,-1)</nowiki></code> creates the point (-2, 0.54134).}}
-:{{example| 1=<div><code><nowiki>Max[{-2, 12, -23, 17, 15}]</nowiki></code> yields ''17''.</div>}}
+;Max(<List of Data>, <List of Frequencies> )
-{{note| 1=See also [[Extremum Command]] and [[Min Command]].}}
+: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>}}

Difference between revisions of "Max Command"

Revision as of 09:09, 25 October 2019

Max

Command Categories (All commands)