Min Command

Min( <List> )

Returns the minimum of the numbers within the list.

Example: Min({-2, 12, -23, 17, 15}) yields -23.

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 Min( <List> ) will yield the minimum segment length.

Min( <Interval> )

Returns the lower bound of the interval.

Example: Min(2 < x < 3) yields 2 .

Note: Opened and closed intervals are not distinguished.

Min( <Number>, <Number> )

Returns the minimum of the two given numbers.

Example: Min(12, 15) yields 12.

Min( <Function>, <Start x-Value>, <End x-Value> )

Calculates (numerically) the minimum point for function in the given interval. Function should be continuous and have only one local minimum point in the interval.

Note: For polynomials you should use the Extremum Command.

Example: Min(exp(x) x^3,-4,-2) creates the point (-3, -1.34425) .

Min( <List of Data>, <List of Frequencies> )

Returns the minimum of the list of data with corresponding frequencies.

Example: Min({1, 2, 3, 4, 5}, {0, 3, 4, 2, 3}) yields 2, the lowest number of the first list whose frequency is greater than 0.

Note: See also Max Command, Extremum Command and Function Inspector Tool.

Note: If you want the minimum of two functions f(x) and g(x) then you can define (f(x) + g(x) - abs(f(x) - g(x)))/2