Browse Definitions:
Definition

continuation symbol

The continuation symbol is used to indicate extension of a sequence or set , or to imply the existence of intermediate elements in a sequence or set. The symbol consists of three periods placed one after another (...).

When the continuation symbol is used in a sequence or set, a sufficient number of elements in that sequence or set should be listed so as to make it obvious what the continuation symbol represents. The following are examples of proper use of the continuation symbol:

S = 1, 2, 3, ...
X = {..., -3, -2, -1}
Y = {-999, -998, -997, ..., 997, 998, 999}
W = 1, 1/2, 1/3, 1/4, 1/5, ...

In these examples, the first and last items are sequences of numbers, and the middle two items are sets of numbers. The sequences and sets consist of discrete elements, so the continuation symbol serves as a fill-in for a list, such as the set of all integer s between and including -999 and 999. The continuation symbol is sometimes used for sequences or sets of variables, as long as it is clear what the variables beyond the last listed variable represent.

The continuation symbol is occasionally used to indicate that a sequence of numbers continues forever, even if the numbers are not explicitly defined. For example, a nonterminating, nonrepeating decimal such as the square root of 2 (or 2 1/2 ) can be represented in this fashion:

2 1/2 = 1.414213562373 ...

The continuation symbol is not used as a filler-in for continuous sets, such as the set of all real numbers between and including -999 and 999.

Also see Mathematical Symbols .

This was last updated in September 2005

Start the conversation

Send me notifications when other members comment.

By submitting you agree to receive email from TechTarget and its partners. If you reside outside of the United States, you consent to having your personal data transferred to and processed in the United States. Privacy

Please create a username to comment.

-ADS BY GOOGLE

File Extensions and File Formats

SearchCompliance

SearchSecurity

  • copyright

    Copyright is a legal term describing ownership of control of the rights to the use and distribution of certain works of creative ...

  • keylogger (keystroke logger or system monitor)

    A keylogger, sometimes called a keystroke logger or system monitor, is a type of surveillance technology used to monitor and ...

  • password

    A password is an unspaced sequence of characters used to determine that a computer user requesting access to a computer system is...

SearchHealthIT

SearchDisasterRecovery

  • business continuity plan (BCP)

    A business continuity plan (BCP) is a document that consists of the critical information an organization needs to continue ...

  • call tree

    A call tree -- sometimes referred to as a phone tree -- is a telecommunications chain for notifying specific individuals of an ...

  • mass notification system (MNS)

    A mass notification system is a platform that sends one-way messages to inform employees and the public of an emergency.

SearchStorage

  • CompactFlash card (CF card)

    A CompactFlash card (CF card) is a memory card format developed by SanDisk in 1994 that uses flash memory technology to store ...

  • email archiving

    Email archiving (also spelled e-mail archiving) is a systematic approach to saving and protecting the data contained in email ...

  • RAID (redundant array of independent disks)

    RAID (redundant array of independent disks) is a way of storing the same data in different places on multiple hard disks to ...

SearchSolidStateStorage

  • M.2 SSD

    An M.2 SSD is a solid-state drive (SSD) that conforms to a computer industry specification written for internally mounted storage...

  • NVMe (non-volatile memory express)

    NVMe (non-volatile memory express) is a host controller interface and storage protocol to enable a solid-state drive to use the ...

  • SSD RAID (solid-state drive RAID)

    SSD RAID (solid-state drive RAID) is a methodology commonly used to protect data by distributing redundant data blocks across ...

SearchCloudStorage

  • RESTful API

    A RESTful application program interface breaks down a transaction to create a series of small modules, each of which addresses an...

  • cloud storage infrastructure

    Cloud storage infrastructure is the hardware and software framework that supports the computing requirements of a private or ...

  • Zadara VPSA and ZIOS

    Zadara Storage provides block, file or object storage with varying levels of compute and capacity through its ZIOS and VPSA ...

Close