PRODUCTS
Products Overview
Mathematica
Mathematica Student Edition
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
Wolfram
SystemModeler
Wolfram
Finance Platform
Mathematica
Add-Ons
Wolfram|Alpha Products
SOLUTIONS
Solutions Overview
Engineering
Aerospace Engineering & Defense
Chemical Engineering
Control Systems
Electrical Engineering
Image Processing
Industrial Engineering
Materials Science
Mechanical Engineering
Operations Research
Optics
Petroleum Engineering
Biotechnology & Medicine
Bioinformatics
Medical Imaging
Finance, Statistics & Business Analysis
Actuarial Sciences
Data Analysis & Mining
Econometrics
Economics
Financial Engineering & Mathematics
Financial Risk Management
Statistics
Software Engineering & Content Delivery
Authoring & Publishing
Interface Development
Software Engineering
Web Development
Science
Astronomy
Biological Sciences
Chemistry
Environmental Sciences
Geosciences
Social & Behavioral Sciences
Design, Arts & Entertainment
Game Design, Special Effects & Generative Art
Education
STEM Education Initiative
Higher Education
Community & Technical College Education
Primary & Secondary Education
Students
Technology
Computable Document Format (CDF)
High-Performance & Parallel Computing (HPC)
See Also: Technology Guide
PURCHASE
Online Store
Other Ways to Buy
Volume & Site Licensing
Contact Sales
Software
Service
Upgrades
Training
Books
Merchandise
SUPPORT
Support Overview
Mathematica
Documentation
Knowledge Base
Learning Center
Technical Services
Community & Forums
Training
Does My Site Have a License?
Wolfram User Portal
COMPANY
About Wolfram Research
News
Events
Wolfram Blog
Partnerships
Employment Opportunities
History of
Mathematica
Stephen Wolfram's Home Page
Contact Us
OUR SITES
All Sites
Wolfram|Alpha
Demonstrations Project
MathWorld
Integrator
Wolfram Functions Site
Mathematica Journal
Wolfram Media
Wolfram
Tones
Wolfram Science
Stephen Wolfram
SEARCH MATHEMATICA 8 DOCUMENTATION
THIS IS DOCUMENTATION FOR AN OBSOLETE PRODUCT.
SEE THE
DOCUMENTATION CENTER
FOR THE LATEST INFORMATION.
Mathematica
>
Numerical Functions
>
Built-in
Mathematica
Symbol
Some Mathematical Functions
Complex Numbers
Numerical Functions
Piecewise Functions
Tutorials »
|
Re
Im
Arg
Mod
ComplexExpand
Norm
Sign
Piecewise
See Also »
|
Complex Numbers
Functions of Complex Variables
Mathematical Functions
Numerical Functions
More About »
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
© 2013 Wolfram Research, Inc.
EXAMPLES
Basic Examples 
Scope 