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sum of infinite series

См. также в других словарях:

  • infinite series — Math. 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. [1790 1800] * * * In mathematics, the sum of infinitely many numbers, whose relationship …   Universalium

  • infinite series — noun A sum with a countably infinite number of ordered summands; the sum itself is formally defined as the limit of the partial sums, if it exists …   Wiktionary

  • sum — [sum; ] for n. 6 [ so͞om] n. [ME somme < MFr < L summa, fem. of summus, highest, superl. < base of super: see SUPER ] 1. an amount of money [a sum paid in reparation] 2. the whole amount; totality; aggregate [the sum of our experience] 3 …   English World dictionary

  • Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …   Wikipedia

  • Infinite arithmetic series — In mathematics, an infinite arithmetic series is an infinite series whose terms are in an arithmetic progression. Examples are nowrap|1 + 1 + 1 + 1 + · · · and nowrap|1 + 2 + 3 + 4 + · · ·. The general form for an infinite arithmetic series… …   Wikipedia

  • Infinite product — In mathematics, for a sequence of numbers a 1, a 2, a 3, ... the infinite product :prod {n=1}^{infty} a n = a 1 ; a 2 ; a 3 cdotsis defined to be the limit of the partial products a 1 a 2... a n as n increases without bound. The product is said… …   Wikipedia

  • sum — sumless, adj. sumlessness, n. /sum/, n., v., summed, summing. n. 1. the aggregate of two or more numbers, magnitudes, quantities, or particulars as determined by or as if by the mathematical process of addition: The sum of 6 and 8 is 14. 2. a… …   Universalium

  • sum — I. noun Etymology: Middle English summe, from Anglo French sume, somme, from Latin summa, from feminine of summus highest; akin to Latin super over more at over Date: 14th century 1. an indefinite or specified amount of money 2. the whole amount… …   New Collegiate Dictionary

  • Infinite Challenge — Promotional Logo Also known as Muhan Dojeon Genre Comedy, Variety, Rea …   Wikipedia

  • series — [sir′ēz, sē′rēz] n. pl. series [L < serere, to join or weave together < IE base * ser , to line up, join > Gr eirein, to join together, OE searu, a snare, armor, ON sørvi, necklace] 1. a group or number of similar or related things… …   English World dictionary

  • Taylor series — Series expansion redirects here. For other notions of the term, see series (mathematics). As the degree of the Taylor polynomia …   Wikipedia

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