# absolutely convergent sum

- абсолютно сходящаяся сумма

*English-Russian scientific dictionary.
2008.*

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**Convergent series**— redirects here. For the short story collection, see Convergent Series (short story collection). In mathematics, a series is the sum of the terms of a sequence of numbers. Given a sequence , the nth partial sum Sn is the sum of the first n terms… … Wikipedia**Absolute convergence**— In mathematics, a series (or sometimes also an integral) of numbers is said to converge absolutely if the sum (or integral) of the absolute value of the summand or integrand is finite. More precisely, a real or complex series is said to converge… … Wikipedia**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**Cauchy product**— In mathematics, the Cauchy product, named after Augustin Louis Cauchy, of two sequences , , is the discrete convolution of the two sequences, the sequence whose general term is given by In other words, it is the sequence whose associated formal… … Wikipedia**Hilbert space**— For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia**Uniform absolute-convergence**— In mathematics, uniform absolute convergence is a type of convergence for series of functions. Like absolute convergence, it has the useful property that it is preserved when the order of summation is changed. Motivation A convergent series of… … Wikipedia**Ratio test**— In mathematics, the ratio test is a test (or criterion ) for the convergence of a series , where each term is a real or complex number and an is nonzero when n is large. The test was first published by Jean le Rond d Alembert and is sometimes… … Wikipedia**Gibbs phenomenon**— In mathematics, the Gibbs phenomenon (also known as ringing artifacts), named after the American physicist J. Willard Gibbs, is the peculiar manner in which the Fourier series of a piecewise continuously differentiable periodic function f behaves … Wikipedia**Matrix (mathematics)**— Specific elements of a matrix are often denoted by a variable with two subscripts. For instance, a2,1 represents the element at the second row and first column of a matrix A. In mathematics, a matrix (plural matrices, or less commonly matrixes)… … Wikipedia**Lp space**— In mathematics, the Lp spaces are function spaces defined using a natural generalization of the p norm for finite dimensional vector spaces. They are sometimes called Lebesgue spaces, named after Henri Lebesgue (Dunford Schwartz 1958, III.3),… … Wikipedia**Fourier transform**— Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms The Fourier transform is a mathematical operation that decomposes a function into its constituent… … Wikipedia

### Книги

- Theory and Some Applications of Summability Methods, Misra Mahendra, Misra Umakanta, Samanta Padmanava, Before Cauchy, the indiscriminate uses of infinite series like finite sum had resulted in many paradoxical situations. The method formulated by Cauchy was so natural and efficacies in its… Категория: Научная литература Подробнее Купить за 8877 руб
- Theory And Some Applications Of Summability Methods, Mahendra Misra and Umakanta Misra, Padmanava Samanta, Before Cauchy, the indiscriminate uses of infinite series like finite sum had resulted in many paradoxical situations. The method formulated by Cauchy was so natural and efficacies in its… Категория: Общие вопросы математики Издатель: LAP Lambert Academic Publishing, Подробнее Купить за 4985 руб
- Theory And Some Applications Of Summability Methods, Padmanava Samanta, Mahendra Misra and Umakanta Misra, Before Cauchy, the indiscriminate uses of infinite series like finite sum had resulted in many paradoxical situations. The method formulated by Cauchy was so natural and efficacies in its… Категория: Математика Издатель: LAP Lambert Academic Publishing, Производитель: LAP Lambert Academic Publishing, Подробнее Купить за 4798 грн (только Украина)