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»
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Mathematical Functions
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Numerical Functions
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Min
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BUILT-IN MATHEMATICA SYMBOL
Some Mathematical Functions
Ordering in Lists
Numerical Functions
Tutorials »
|
Max
RankedMin
RankedMax
Ordering
Minimize
FindMinimum
See Also »
|
Math & Counting Operations on Lists
Mathematical Functions
Numerical Data
Numerical Functions
More About »
Min
Min
yields the numerically smallest of the
.
Min
yields the smallest element of any of the lists.
MORE INFORMATION
Min
yields a definite result if all its arguments are real numbers.
In other cases,
Min
carries out some simplifications.
Min
gives
Infinity
.
Min
works on
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Minimum of two numbers:
Minimum of a list:
Minimum of two numbers:
In[1]:=
Out[1]=
Minimum of a list:
In[1]:=
Out[1]=
Scope
(7)
Min
works with exact numeric quantities:
Min
effectively flattens out all lists:
Basic symbolic simplification is done automatically:
Simplify a symbolic
Min
:
Integrate expressions involving
Min
:
Reduce inequalities involving
Min
:
Generalizations & Extensions
(1)
Min
works on sparse arrays:
Applications
(4)
Use in bounds of iterator variables:
Cumulative minima:
Find the lowest point of a plotted curve:
Mean of the length ratio of a randomly broken stick:
R-function-based solid modeling:
Properties & Relations
(6)
Min
is
Flat
and
Orderless
:
Use
FullSimplify
to simplify
Min
expressions:
Minimize a function containing
Min
:
Min
can be differentiated:
Possible Issues
(2)
Min
flattens lists, rather than being
Listable
:
One-argument form evaluates for any argument:
Neat Examples
(2)
Two-dimensional sublevel sets:
Three-dimensional sublevel sets:
SEE ALSO
Max
RankedMin
RankedMax
Ordering
Minimize
FindMinimum
TUTORIALS
Some Mathematical Functions
Ordering in Lists
Numerical Functions
MORE ABOUT
Math & Counting Operations on Lists
Mathematical Functions
Numerical Data
Numerical Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
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