PRODUCTS
Products Overview
Mathematica
Mathematica for Students
Mathematica Home Edition
Wolfram
CDF Player
(free download)
Computable Document Format (CDF)
web
Mathematica
grid
Mathematica
Wolfram
Workbench
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
Knowledge Base
Learning Center
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
DOCUMENTATION CENTER SEARCH
New to
Mathematica
?
Find your learning path
»
Mathematica
>
Mathematics and Algorithms
>
Mathematical Functions
>
Arithmetic Functions
>
Times (*, ×)
>
BUILT-IN MATHEMATICA SYMBOL
Arithmetic
Operators
Tutorials »
|
Divide
TimesBy
NonCommutativeMultiply
Dot
See Also »
|
Arithmetic Functions
Mathematical Functions
Matrices and Linear Algebra
Matrix Operations
Operations on Vectors
Mathematica Syntax
More About »
Times
,
, or
represents a product of terms.
MORE INFORMATION
The character
is entered as
Esc
*
Esc
or
\[Times]
. It is not the same as
\[Cross]
.
Times
has attributes
Flat
,
Orderless
, and
OneIdentity
.
The default value for arguments of
Times
, as used in
patterns, is
.
Times
is taken to be
.
Times
[
x
]
is
x
.
0
x
evaluates to
, and
0.0
x
evaluates to
.
Unlike other functions,
Times
applies built-in rules before user-defined ones. As a result, it is not possible to make definitions such as
.
EXAMPLES
CLOSE ALL
Basic Examples
(3)
Enter
Times
with spaces; × is added automatically between numbers:
Alternative form:
Times
threads element-wise over lists:
Explicit
FullForm
:
Enter
Times
with spaces; × is added automatically between numbers:
In[1]:=
Out[1]=
Alternative form:
In[2]:=
Out[2]=
Times
threads element-wise over lists:
In[1]:=
Out[1]=
In[2]:=
Out[2]=
Explicit
FullForm
:
In[1]:=
Out[1]=
Scope
(2)
Times
threads element-wise:
Pattern matching works with
Times
:
Properties & Relations
(4)
Use
Expand
to expand out products:
Use
Dot
for matrix or vector multiplication:
Use
Product
for products of indexed elements:
As well as for closed forms of products:
Use
NonCommutativeMultiply
for non commuting products:
SEE ALSO
Divide
TimesBy
NonCommutativeMultiply
Dot
TUTORIALS
Arithmetic
Operators
MORE ABOUT
Arithmetic Functions
Mathematical Functions
Matrices and Linear Algebra
Matrix Operations
Operations on Vectors
Mathematica
Syntax
RELATED LINKS
NKS|Online
(
A New Kind of Science
)
New in 1 | Last modified in 3