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
SearchCompliance
  • OPSEC (operations security)

    OPSEC (operations security) is a security and risk management process and strategy that classifies information, then determines ...

  • smart contract

    A smart contract is a decentralized application that executes business logic in response to events.

  • compliance risk

    Compliance risk is an organization's potential exposure to legal penalties, financial forfeiture and material loss, resulting ...

SearchSecurity
  • buffer overflow

    A buffer overflow occurs when a program or process attempts to write more data to a fixed-length block of memory, or buffer, than...

  • biometric verification

    Biometric verification is any means by which a person can be uniquely identified by evaluating one or more distinguishing ...

  • password

    A password is a string of characters used to verify the identity of a user during the authentication process.

SearchHealthIT
SearchDisasterRecovery
  • What is risk mitigation?

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

  • change control

    Change control is a systematic approach to managing all changes made to a product or system.

  • disaster recovery (DR)

    Disaster recovery (DR) is an organization's ability to respond to and recover from an event that affects business operations.

SearchStorage
  • What is RAID 6?

    RAID 6, also known as double-parity RAID, uses two parity stripes on each disk. It allows for two disk failures within the RAID ...

  • PCIe SSD (PCIe solid-state drive)

    A PCIe SSD (PCIe solid-state drive) is a high-speed expansion card that attaches a computer to its peripherals.

  • VRAM (video RAM)

    VRAM (video RAM) refers to any type of random access memory (RAM) specifically used to store image data for a computer display.

Close