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Series (mathematics) - Wikipedia, the free encyclopedia
In mathematics, given an infinite sequence of numbers { a n }, a series is informally the result of adding all those terms together: a 1 + a 2 + a 3 + · · ·. These can...
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List of mathematical series - Wikipedia, the free encyclopedia
This list of mathematical series contains formulae for finite and infinite sums. It can be used in conjunction with other tools for evaluating sums. • \sum_{i=1}^n i = \frac{n(n+1)}{2}\,\! • \sum...
en.wikipedia.org/wiki/List_of_mathematical_series |
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The aim of the Proceedings of the Japan Academy, Series A, is the rapid publication of original papers in mathematical sciences. The paper should be written in English or French (preferably in English), and at most 6 pages long when published.
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Consider an ordered set of numbers {w1 , w 2 , w3 ... wn ...} that may be complex or real. Then we may consider the infinite series; ... where the wn are called the terms of the series. The partial sum of this series is the sum of the first n terms and is written;
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The word "series" in common language implies much the same thing as "sequence", but in mathematics when we talk of a series we are referring in particular to sums of terms in a sequence (eg for a sequence of values a(n) the corresponding series is ... Formulas for series are often also proved by Mathematical Induction.
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Mathematical Programming Studies, the predecessor of Mathematical Programming, Series B, is available online at SpringerLink, with free access to MPS members when logging in with the personal username and password.
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