Difference between revisions of "Min Command"

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({{note| 1=If you want the minimum 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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{{note| 1=See also [[Max Command]], [[Extremum Command]] and [[Function Inspector Tool]].}}
 
{{note| 1=See also [[Max Command]], [[Extremum Command]] and [[Function Inspector Tool]].}}
{{note| 1=If you want the minimum 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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{{note| 1=If you want the minimum 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> }}

Revision as of 17:20, 2 July 2018


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: 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
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