limit number

limit number
In the theory of ordinal numbers, a limit ordinal is an ordinal x such that there is no greatest ordinal smaller than x . The first limit ordinal is ω, the ordinal that measures the length of the standard ordering of the natural numbers.

Philosophy dictionary. . 2011.

Игры ⚽ Поможем решить контрольную работу

Look at other dictionaries:

  • Limit (music) — In music theory, limit or harmonic limit is a way of characterizing the harmony found in a piece or genre of music, or the harmonies that can be made using a particular scale. The term was introduced by Harry Partch, who used it to give an upper… …   Wikipedia

  • Limit state design — (LSD) refers to a design methodology used in structural engineering. The methodology is in fact a modernization and rationalization of engineering knowledge which was well established prior to the adoption of LSD. Beyond the concept of a limit… …   Wikipedia

  • limit# — limit n Limit, bound, confine, end, term are comparable when they mean an actual or imaginary line beyond which a thing does not or cannot extend. Limit is the most inclusive of these terms because it carries no necessary implication of number,… …   New Dictionary of Synonyms

  • limit — [lim′it] n. [OFr limite < L limes (gen. limitis), border, frontier] 1. the point, line, or edge where something ends or must end; boundary or border beyond which something ceases to be or to be possible 2. [pl.] bounds; boundary lines 3. the… …   English World dictionary

  • number — or [num′bər] n. [ME nombre < OE < L numerus: see NOMY] 1. a symbol or word, or a group of either of these, showing how many or which one in a series: 1, 2, 10, 101 (one, two, ten, one hundred and one) are called cardinal numbers; 1st, 2d,… …   English World dictionary

  • Number Sense (UIL) — Number Sense is one of several academic events sanctioned by the University Interscholastic League. It is also a competition held by the Texas Math and Science Coaches Association, using the same rules as the UIL. It is one of the UIL s oldest… …   Wikipedia

  • Number Please — Format Game Show Created by Mark Goodson Bill Todman Presented by Bud Collyer Narrated by Ralph Paul Country of origin …   Wikipedia

  • Limit superior and limit inferior — In mathematics, the limit inferior (also called infimum limit, liminf, inferior limit, lower limit, or inner limit) and limit superior (also called supremum limit, limsup, superior limit, upper limit, or outer limit) of a sequence can be thought… …   Wikipedia

  • Limit of a sequence — n n sin(1/n) 1 0.841471 2 0.958851 ... 10 0.998334 ... 100 0.999983 As the positive integer n becomes larger and larger …   Wikipedia

  • Limit (mathematics) — This is an overview of the idea of a limit in mathematics. For specific uses of a limit, see limit of a sequence and limit of a function. In mathematics, the concept of a limit is used to describe the value that a function or sequence approaches… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”