max
-- the maximum of numbersmax(
x1, x2, ...)
returns the maximum of
the numbers x1,x2,....
max(x1, x2, ...)
x1, x2, ... |
- | arbitrary MuPAD objects |
one of the arguments, or a symbolic max
call.
x1
, x2
, ,
...
_leequal
, _less
, min
, sysorder
max
are either integers, rational numbers,
or floating point numbers, then
max
returns the numerical maximum of these arguments.max(
)
is illegal and leads to an
error message. If there is only one argument x1
, then
max
evaluates x1
and returns it (see example
2).infinity
, then max
returns infinity
. If
an argument is -infinity
, then it is removed from the
argument list (see example 3).max
returns an error when one of its arguments is a complex number (see example 2).max
call with the maximum of the numerical
arguments and the remaining evaluated arguments is returned (see
example 1).
Nested max
calls with symbolic arguments are rewritten
as a single max
call, i.e., they are flattened; see example 4.
max
does not react to properties of identifiers set via
assume
. Use simplify
to handle this (see
example 4).max
is a function of the system kernel.max
computes the maximum of integers,
rational numbers, and floating point values:
>> max(-3/2, 7, 1.4)
7
If the argument list contains symbolic expressions, then
a symbolic max
call is returned:
>> delete b: max(-4, b + 2, 1, 3)
max(b + 2, 3)
>> max(sqrt(2), 1)
1/2 max(2 , 1)
Use simplify
to simplify
max
expressions with constant symbolic arguments:
>> simplify(%)
1/2 2
max
with one argument returns the evaluated
argument:
>> delete a: max(a), max(sin(2*PI)), max(2)
a, 0, 2
Complex numbers lead to an error message:
>> max(0, 1, I)
Error: Illegal argument [max]
infinity
is always the maximum of
arbitrary arguments:
>> delete x: max(100000000000, infinity, x)
infinity
-infinity
is
removed from the argument list:
>> max(100000000000, -infinity, x)
max(x, 100000000000)
max
does not take into account properties of identifiers set via
assume
:
>> delete a, b, c: assume(a > 0): assume(b > a, _and): assume(c > b, _and): max(a, max(b, c), 0)
max(a, b, c, 0)
An application of simplify
yields the desired
result:
>> simplify(%)
c