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»
Mathematica
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Core Language
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List Manipulation
>
Math & Counting Operations on Lists
>
Max
>
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Data Manipulation
>
Handling Arrays of Data
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Math & Counting Operations on Lists
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Max
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Data Manipulation
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Math & Counting Operations on Lists
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Max
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BUILT-IN MATHEMATICA SYMBOL
Some Mathematical Functions
Numerical Functions
Ordering in Lists
Piecewise Functions
Basic Statistics
Tutorials »
|
Min
RankedMax
RankedMin
Ordering
Maximize
FindMaximum
See Also »
|
Math & Counting Operations on Lists
Mathematical Functions
Numerical Data
Numerical Functions
More About »
Max
Max
yields the numerically largest of the
.
Max
yields the largest element of any of the lists.
MORE INFORMATION
Max
yields a definite result if all its arguments are real numbers.
In other cases,
Max
carries out some simplifications.
Max
gives
Infinity
.
Max
works on
SparseArray
objects.
EXAMPLES
CLOSE ALL
Basic Examples
(2)
Maximum of two numbers:
Maximum of a list:
Maximum of two numbers:
In[1]:=
Out[1]=
Maximum of a list:
In[1]:=
Out[1]=
Scope
(7)
Max
works with exact numeric quantities:
Max
effectively flattens out all lists:
Basic symbolic simplification is done automatically:
Simplify a symbolic
Max
:
Integrate expressions involving
Max
:
Reduce inequalities involving
Max
:
Generalizations & Extensions
(1)
Max
works on sparse arrays:
Applications
(5)
Use in bounds of iterator variables:
Cumulative maxima:
Find the highest point of a plotted curve:
Mean of the length ratio of a randomly broken stick:
R-function-based solid modeling:
Properties & Relations
(6)
Max
is
Flat
and
Orderless
:
Use
FullSimplify
to simplify
Max
expressions:
Maximize a function containing
Max
:
Max
can be differentiated:
Possible Issues
(2)
Max
flattens lists, rather than being
Listable
:
The one-argument form evaluates for any argument:
Neat Examples
(2)
Two-dimensional sublevel sets:
Three-dimensional sublevel sets:
SEE ALSO
Min
RankedMax
RankedMin
Ordering
Maximize
FindMaximum
TUTORIALS
Some Mathematical Functions
Numerical Functions
Ordering in Lists
Piecewise Functions
Basic Statistics
MORE ABOUT
Math & Counting Operations on Lists
Mathematical Functions
Numerical Data
Numerical Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
NKS|Online
(
A New Kind of Science
)
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