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Words related to sequence

se·quence
S s

  • series

    a group or a number of related or similar things, events, etc., arranged or occurring in temporal, spatial, or other order or succession; sequence.

  • farey sequence

    the increasing sequence of fractions in which numerator and denominator have no common divisor other than one and in which the denominator is less than or equal to a given positive integer p. For p = 4, the Farey sequence of order 4 is 0/1, 1/4, 1/3, 1/2, 2/3, 3/4, 1/1.

  • follow

    to come after in sequence, order of time, etc.: The speech follows the dinner.

  • fundamental sequence

    an infinite sequence, x 1 , x 2 , …, whose terms are points in Ek, in which there exists a point y such that the limit as n goes to infinity of xn = y if and only if for every ε>0, there exists a number N such that i > N and j > N implies | xi − xj |< ε. Also called Cauchy sequence, convergent sequence. Compare complete (def 10b).

  • phrase

    Grammar. a sequence of two or more words arranged in a grammatical construction and acting as a unit in a sentence. (in English) a sequence of two or more words that does not contain a finite verb and its subject or that does not consist of clause elements such as subject, verb, object, or complement, as a preposition and a noun or pronoun, an adjective and noun, or an adverb and verb.

  • infinite series

    a sequence of numbers in which an infinite number of terms are added successively in a given pattern; the sequence of partial sums of a given sequence.
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