analytic function

  • 81Z function — In mathematics, the Z function is a function used for studying the Riemann zeta function along the critical line where the real part of the argument is one half. It is also called the Riemann Siegel Z function, the Riemann Siegel zeta function,… …

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  • 82Chebyshev function — The Chebyshev function ψ(x), with x < 50 The function ψ( …

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  • 83Domain of a function — Venn diagram showing f, a function from domain X to codomain Y. The smaller oval inside Y is the image of f, sometimes called the range of f. In mathematics, the domain of definition or simply the domain of a function is the set of input or… …

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  • 84Differentiable function — A differentiable function The absolute value function is not …

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  • 85Multiplicative function — Outside number theory, the term multiplicative function is usually used for completely multiplicative functions. This article discusses number theoretic multiplicative functions. In number theory, a multiplicative function is an arithmetic… …

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  • 86Gaussian function — In mathematics, a Gaussian function (named after Carl Friedrich Gauss) is a function of the form::f(x) = a e^{ { (x b)^2 over 2 c^2 } }for some real constants a > 0, b , c > 0, and e ≈ 2.718281828 (Euler s number).The graph of a Gaussian is a… …

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  • 87Sign function — In mathematics, the sign function is a mathematical function that extracts the sign of a real number. To avoid confusion with the sine function, this function is often called the signum function (after the Latin form of sign ).In mathematical… …

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  • 88Sinc function — In mathematics, the sinc function, denoted by scriptstylemathrm{sinc}(x), and sometimes as scriptstylemathrm{Sa}(x),, has two definitions, sometimes distinguished as the normalized sinc function and unnormalized sinc function. In digital signal… …

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  • 89Point spread function — The point spread function (PSF) describes the response of an imaging system to a point source or point object. A related but more general term for the PSF is a system s impulse response. The PSF in many contexts can be thought of as the extended… …

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  • 90Von Mangoldt function — In mathematics, the von Mangoldt function is an arithmetic function named after German mathematician Hans von Mangoldt. Contents 1 Definition 2 Dirichlet series 3 Mellin transform …

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