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Abs
Abs
[
z
]
gives the absolute value of the real or complex number
z
.
MORE INFORMATION
Mathematical function, suitable for both symbolic and numerical manipulation.
For complex numbers
z
,
Abs
[
z
]
gives the modulus
.
Abs
[
z
]
is left unevaluated if
z
is not a numeric quantity.
Abs
automatically threads over lists.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Real numbers:
In[1]:=
Out[1]=
Complex numbers:
In[2]:=
Out[2]=
Abs
threads element-wise over lists:
In[1]:=
Out[1]=
In[1]:=
Out[1]=
Scope
(3)
Generalizations & Extensions
(3)
Applications
(2)
Properties & Relations
(12)
Possible Issues
(3)
Neat Examples
(2)
SEE ALSO
Re
Im
Arg
Mod
ComplexExpand
Norm
Sign
Piecewise
TUTORIALS
Some Mathematical Functions
Complex Numbers
Numerical Functions
Piecewise Functions
RELATED LINKS
MathWorld
The Wolfram Functions Site
MORE ABOUT
Complex Numbers
Functions of Complex Variables
Mathematical Functions
Numerical Functions
New in 1
© 2008 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 