- Generalized Euler Transform
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Универсальный русско-английский словарь. Академик.ру. 2011.
Generalized Euler Transform
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Euler summation — is a summability method for convergent and divergent series. Given a series Σ a n , if its Euler transform converges to a sum, then that sum is called the Euler sum of the original series.Euler summation can be generalized into a family of… … Wikipedia
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Weierstrass transform — In mathematics, the Weierstrass transform [Ahmed I. Zayed, Handbook of Function and Generalized Function Transformations , Chapter 18. CRC Press, 1996.] of a function f : R rarr; R is the function F defined by:F(x)=frac{1}{sqrt{4piint {… … 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
Discrete Fourier transform — Fourier transforms Continuous Fourier transform Fourier series Discrete Fourier transform Discrete time Fourier transform Related transforms In mathematics, the discrete Fourier transform (DFT) is a specific kind of discrete transform, used in… … Wikipedia
Meijer G-function — In mathematics, the G function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized… … Wikipedia
Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… … Wikipedia
1 − 2 + 3 − 4 + · · · — In mathematics, 1 − 2 + 3 − 4 + … is the infinite series whose terms are the successive positive integers, given alternating signs. Using sigma summation notation the sum of the first m terms of the series can be expressed as:sum {n=1}^m n( 1)^{n … Wikipedia
Nachbin's theorem — Exponential type redirects here. For exponential types in type theory and programming languages, see Function type. In mathematics, in the area of complex analysis, Nachbin s theorem (named after Leopoldo Nachbin) is commonly used to establish a… … Wikipedia
1 − 2 + 4 − 8 + · · · — In mathematics, 1 − 2 + 4 − 8 + hellip; is the infinite series whose terms are the successive powers of two with alternating signs. As a geometric series, it is characterized by its first term, 1, and its common ratio, −2. :sum {i=0}^{n} ( 2)^iAs … Wikipedia
