Max Command

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Revision as of 18:20, 2 July 2018 by Murkle (talk | contribs) ({{note| 1=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> }})
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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: 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
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