Difference between revisions of "Max Command"

Revision as of 11:28, 8 December 2015

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.

@@ Line 13: / Line 13: @@
 ;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=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.