Difference between revisions of "Min Command"

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m (removed extra CAS syntax)
m (change Min[ x^3 + 2x^2 - 1, -2, 0] to Min[ x^3 + 2x^2 - 1, -2, 1])
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;Min[ <Function>, <Start x-Value>, <End x-Value> ]
 
;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.  
 
: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.  
:{{example| 1=<code><nowiki>Min[ x^3 + 2x^2 - 1, -2, 0]</nowiki></code> creates the point (0, -1).}}
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:{{example| 1=<code><nowiki>Min[ x^3 + 2x^2 - 1, -2, 1]</nowiki></code> creates the point (0, -1).}}
 
;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 11:16, 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.
Example: Min[ x^3 + 2x^2 - 1, -2, 1] creates the point (0, -1).
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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