finite sequence


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Related to finite sequence: finite series, Geometric sequence, Infinite sequence

finite sequence

[¦fī‚nīt ′sē·kwəns]
(mathematics)
A listing of some finite number, n, of mathematical entities that is indexed by the first n positive integers, 1,2,…, n.
More precisely, a function whose domain is the first n positive integers.
References in periodicals archive ?
It is conjectured every n [member of] <Z [union] I> using the modified form of Collatz conjecture has a finite sequence which terminates at one and only element from the set A or B according as (3a + 1) + (3b + 1)I formula is used or (3a - 1) + (3b -1)I formula is used respectively.
lt;[omega]]X the set of finite sequences of elements of a set X, this is easily expressable with quantifiers bounded by [sup.
1937) shows that given a finite sequence of exchangeable events {[E.
iii) is clear, since the finite sequences are dense in [l.
Samuelson (1989) gave examples of utility functions where a single bet is unacceptable but a sufficiently long finite sequence of good bets will be accepted.
Let L be a link state vector such that for some (i,j) [element of] E, L[i,j] = Q, where Q is a finite sequence of packets and Q' is a subsequence of Q.
Happily, there is already a convention devised independently by Chaitin and Kolmogorov: the (algorithmic) complexity of a finite sequence of 0's and 1's is the length of the shortest computer program that will print out the sequence.
Informally, the difference between a task and a super-task is that a task consists of a finite sequence of actions, while a super-task consists of an infinite sequence of actions.
Observe that the positions of the multiples of 7 can be obtained by successively adding the elements of the finite sequence 12,7,4,7,4,7,12,3.
Recall that a finite sequence of real numbers [([a.
N] of a neutrosophic crisp filter on a non-empty set X, has a least upper bound in the set of all neutrosophic crisp filters on X if for all finite sequence [([[PSI].
An operator T : X [right arrow] Y is 2-absolutely summing if there exists a constant C > 0 such that for every finite sequence [x.