Difference between revisions of "Min Command"

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({{note| 1=For polynomials you should use the Extremum Command.}})
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: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.  
 
: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| 1=For polynomials you should use the [[Extremum Command]].}}
 
{{note| 1=For polynomials you should use the [[Extremum Command]].}}
:{{example| 1=<code><nowiki>Min[exp(x) x^3,-4,-2]</nowiki></code> creates the point(-3, -1.34425) .}}
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:{{example| 1=<code><nowiki>Min[exp(x) x^3,-4,-2]</nowiki></code> creates the point (-3, -1.34425) .}}
 
;Min[ <List of Data>, &lt;List of Frequencies> ]
 
;Min[ <List of Data>, &lt;List of Frequencies> ]
 
:Returns the minimum of the list of data with corresponding frequencies.  
 
:Returns the minimum of the list of data with corresponding frequencies.  

Revision as of 11:26, 8 December 2015


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.


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