# Times

x*y*z, x×y×z, or x y z

represents a product of terms.

# Details

• The character × is entered as * 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 x_. patterns, is 1.
• Times[] is taken to be 1.
• Times[x] is x.
• 0x evaluates to 0, and 0.0x evaluates to 0.0.
• Unlike other functions, Times applies builtin rules before userdefined ones. As a result, it is not possible to make definitions such as 2*2=5.
• Times can be used with CenteredInterval objects. »

# Background & Context

• Times is a function that does multiplication (takes the product) of expressions. The expression Times[a,b,c,] is commonly represented using the shorthand syntax a*b*c*, a×b×c×, or simply a b c . Special cases include Times[], which is taken to be 1, and Times[x], which is taken to be x.
• Times sorts its arguments and collapses any terms of the same type. Times also threads element-wise over lists. Expand can be used to expand out products of expressions not automatically multiplied out by Times.
• TimesBy can be used to multiply the value of a given variable. Divide gives the division of two expressions.
• Multiplication of a function over a range or list of arguments is done using the function Product. Other types of multiplication include Dot (for matrix or vector multiplication) and NonCommutativeMultiply (for non-commuting products).

# Examples

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## Basic Examples(3)

Enter Times with spaces; × is added automatically between numbers:

Alternative form:

Explicit FullForm:

## Scope(3)

Pattern matching works with Times:

Times can be used with CenteredInterval objects:

## 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:

Wolfram Research (1988), Times, Wolfram Language function, https://reference.wolfram.com/language/ref/Times.html (updated 13).

#### Text

Wolfram Research (1988), Times, Wolfram Language function, https://reference.wolfram.com/language/ref/Times.html (updated 13).

#### CMS

Wolfram Language. 1988. "Times." Wolfram Language & System Documentation Center. Wolfram Research. Last Modified 13. https://reference.wolfram.com/language/ref/Times.html.

#### APA

Wolfram Language. (1988). Times. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Times.html

#### BibTeX

@misc{reference.wolfram_2021_times, author="Wolfram Research", title="{Times}", year="13", howpublished="\url{https://reference.wolfram.com/language/ref/Times.html}", note=[Accessed: 23-May-2022 ]}

#### BibLaTeX

@online{reference.wolfram_2021_times, organization={Wolfram Research}, title={Times}, year={13}, url={https://reference.wolfram.com/language/ref/Times.html}, note=[Accessed: 23-May-2022 ]}