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Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Core Language
>
Expressions
>
Testing Expressions
>
Mathematica
>
Core Language
>
Procedural Programming
>
Conditionals
>
Testing Expressions
>
Built-in
Mathematica
Symbol
Types of Numbers
Numeric Quantities
Putting Constraints on Patterns
Tutorials »
|
NumericQ
IntegerQ
MachineNumberQ
TrueQ
Complexes
Assuming
See Also »
|
Atomic Elements of Expressions
Expressions
Patterns
Representation of Numbers
Testing Expressions
More About »
NumberQ
NumberQ
[
expr
]
gives
True
if
expr
is a number, and
False
otherwise.
MORE INFORMATION
NumberQ
[
expr
]
returns
False
unless
expr
is manifestly a number (i.e., has head
Complex
,
Integer
,
Rational
or
Real
).
»
»
NumberQ
[
Infinity
]
gives
False
.
»
NumberQ
[
Overflow
[]]
and
NumberQ
[
Underflow
[]]
give
True
.
»
EXAMPLES
CLOSE ALL
Basic Examples
(1)
NumberQ
tests whether an object is explicitly a number:
NumberQ
tests whether an object is explicitly a number:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Scope
(3)
The expression must be manifestly a number:
You can test if a quantity represents a number with
NumericQ
:
On numerical coercion with
N
such quantities generally become numbers:
NumberQ
[
Infinity
]
gives
False
.
The same is true for complex and directed infinities:
NumberQ
[
Overflow
[]]
and
NumberQ
[
Underflow
[]]
give
True
:
They are both treated as
Real
:
Applications
(2)
Test if a matrix consists entirely of numbers:
Define a function that only evaluates when the argument is a number:
It does not evaluate with a symbolic argument:
It does evaluate when the argument is a number:
Use
FindRoot
to find all the solutions of the boundary value problem with
:
Plot the solutions:
Properties & Relations
(2)
NumberQ
is equivalent to
MatchQ
[#, _Integer|_Rational|_Real|_Complex]&
:
If
NumberQ
[
x
]
is
True
, then
NumericQ
[
x
]
is also
True
:
SEE ALSO
NumericQ
IntegerQ
MachineNumberQ
TrueQ
Complexes
Assuming
TUTORIALS
Types of Numbers
Numeric Quantities
Putting Constraints on Patterns
MORE ABOUT
Atomic Elements of Expressions
Expressions
Patterns
Representation of Numbers
Testing Expressions
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