series (mathematics) wikipedia - EAS
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https://en.wikipedia.org/wiki/Series_(mathematics)In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity. The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics,
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Xem thêmAn infinite series or simply a series is an infinite sum, represented by an infinite expression of the form
If an abelian group A of terms has a concept of limit (e.g., if it is a metric space), then some series, the...
Xem thêm• A geometric series is one where each successive term is produced by multiplying the previous term by a constant number(called
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Xem thêmPartial summation takes as input a sequence, (an), and gives as output another sequence, (SN). It is thus a unary operation on sequences. Further, this function is linear, and thus is a linear operator on the vector spaceof sequences, denoted Σ. The inverse
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Xem thêmSeries are classified not only by whether they converge or diverge, but also by the properties of the terms an (absolute or conditional convergence); type of convergence of the series (pointwise, uniform); the class of the term an (whether it is a real number,
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Xem thêmThere exist many tests that can be used to determine whether particular series converge or diverge.
• n-th term test...
Xem thêmA series of real- or complex-valued functions
converges pointwiseon a set E, if the series converges for each...
Xem thêmDevelopment of infinite series
Greek mathematician Archimedes produced the first known summation of an infinite series with a method that is still used in the area of calculus today. He used the method of exhaustion to calculate the area under the arc of a...
Xem thêmVăn bản Wikipedia theo giấy phép CC-BY-SAMục này có hữu ích không?Cảm ơn! Cung cấp thêm phản hồiList of mathematical series - Wikipedia
https://en.wikipedia.org/wiki/List_of_mathematical_series• Series (mathematics)
• List of integrals
• Summation § Identities
• Taylor series
• Binomial theoremWikipedia · Nội dung trong CC-BY-SA giấy phépSeries - Simple English Wikipedia, the free encyclopedia
https://simple.wikipedia.org/wiki/SeriesFrom Simple English Wikipedia, the free encyclopedia. Jump to navigation Jump to search. A series is a group of similar things that are all related to the same topic. In mathematics, a series is the adding of a list of (usually never-ending) mathematical objects (such as numbers). It is sometimes written as.
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Série (mathématiques) — Wikipédia
https://fr.wikipedia.org/wiki/Série_(mathématiques)- Une série de terme général xn peut être définie formellement comme le couple formé des deux suites ( x n ) n ∈ N {\displaystyle \left(x_{n}\right)_{n\in \mathbb {N} }} et ( ∑ k = 0 n x k ) n ∈ N {\displaystyle \left(\sum _{k=0}^{n}x_{k}\right)_{n\in \mathbb {N} }} [3].Le terme d'ordre n de la seconde suite, S n = ∑ k = 0 n x k {\displaystyle S_{n}=\sum _{k=0}^{n}x_{k}} , est la somme des …
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Series (mathematics) - Wikiwand
https://www.wikiwand.com/en/Series_(mathematics)In mathematics, a series is, roughly speaking, a description of the operation of adding infinitely many quantities, one after the other, to a given starting quantity.[1] The study of series is a major part of calculus and its generalization, mathematical analysis. Series are used in most areas of mathematics, even for studying finite structures through generating functions.
Harmonic series (mathematics) - Simple English Wikipedia ...
https://simple.wikipedia.org/wiki/Harmonic_series_(mathematics)- The fact that the harmonic series diverges was first proven in the 14th century by Nicole Oresme, but was forgotten. Proofs were given in the 17th century by Pietro Mengoli, Johann Bernoulli, and Jacob Bernoulli. Harmonic sequences have been used by architects. In the Baroque period architects used them in the proportions of floor plans, elevations, and in the relationships betwe…
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Category:Series (mathematics) - Wikimedia Commons
https://commons.wikimedia.org/wiki/Category:Series_(mathematics)Media in category "Series (mathematics)" The following 105 files are in this category, out of 105 total.
Series | Math Wiki | Fandom
https://math.fandom.com/wiki/Series- A series usually defined as the sum of the terms in an infinite sequence. A series is considered convergent if the sequence of partial sums approaches a specific value and divergent if it approaches positive or negative infinity or if it does not approach any value at all.
Fourier Series | Brilliant Math & Science Wiki
https://brilliant.org/wiki/fourier-seriesA Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine and cosine functions. It is analogous to a Taylor series, which represents functions as possibly infinite sums of monomial terms. A sawtooth wave represented by a successively larger sum of trigonometric terms.
Mathématiques — Wikipédia
https://fr.wikipedia.org/wiki/MathématiquesLes mathématiques sont un ensemble de connaissances abstraites résultant de raisonnements logiques appliqués à des objets divers tels que les ensembles mathématiques, les nombres, les formes, les structures, les transformations, etc.; ainsi qu'aux relations et opérations mathématiques qui existent entre ces objets. Elles sont aussi le domaine de recherche …
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