Browse Definitions :
Definition

product

1) In information technology, a product is something (for example, a software application) that is created and then made available to customers, usually with a distinct name or order number.

2) In mathematics, a product is the result of arithmetically multiplying numbers or quantities. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some products contain infinitely many terms.

For products with relatively few terms, the numbers, or multiplicands, can be written one after another, separated by multiplication signs (x). An example is 1/1 x 1/2 x 1/3. This becomes awkward when the number of terms is large. When a product has infinitely many terms, the terms must occur in a definable sequence. This sequence is not always clear when the terms are simply listed and separated by multiplication symbols. For this reason, the product symbol was devised: a large, uppercase Greek letter pi.

To denote 1/1 x 1/2 x 1/3, the following symbology can be used:

The expression on the left-hand side of the equation is the product from n = 1 to n = 3 for 1/ n . The value of n is always an integer. It usually starts at 1 and always increases by 1 for each succeeding term in the product.

Suppose the above sequence of multiplicands is extended without limit according to the obvious pattern. Then the product from n = 1 to unlimited values of n for 1/ n , that is, 1/1 x 1/2 x 1/3 x 1/4 x ..., is denoted like this:

The sideways 8 (called a lemniscate ) means that n continues to increase without limit. It is imprecise to say we are dealing with the product from n = 1 to infinity , but this terminology is often used anyway.

Also see Mathematical Symbols .

This was last updated in September 2005

Start the conversation

Send me notifications when other members comment.

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

SearchCompliance

  • Whistleblower Protection Act

    The Whistleblower Protection Act of 1989 is a law that protects federal government employees in the United States from ...

  • smart contract

    A smart contract, also known as a cryptocontract, is a computer program that directly controls the transfer of digital currencies...

  • risk map (risk heat map)

    A risk map, also known as a risk heat map, is a data visualization tool for communicating specific risks an organization faces. A...

SearchSecurity

  • buffer underflow

    Buffer underflow, also known as buffer underrun or buffer underwrite, is a threat to data that typically occurs when the ...

  • digital signature

    A digital signature is a mathematical technique used to validate the authenticity and integrity of a message, software or digital...

  • denial-of-service attack

    A denial-of-service attack is a security event that occurs when an attacker prevents legitimate users from accessing specific ...

SearchHealthIT

SearchDisasterRecovery

  • virtual disaster recovery

    Virtual disaster recovery is a type of DR that typically involves replication and allows a user to fail over to virtualized ...

  • tabletop exercise (TTX)

    A tabletop exercise (TTX) is a disaster preparedness activity that takes participants through the process of dealing with a ...

  • risk mitigation

    Risk mitigation is a strategy to prepare for and lessen the effects of threats faced by a data center.

SearchStorage

  • secondary storage

    Secondary storage is storage for noncritical data that does not need to be frequently accessed.

  • Pure Storage

    Pure Storage is a provider of enterprise data flash storage solutions designed to substitute for electromechanical disk arrays.

  • yobibyte (YiB)

    A yobibyte (YiB) is a unit of measure used to describe data capacity as part of the binary system of measuring computing and ...

Close