fractional function
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Fractional calculus — is a branch of mathematical analysis that studies the possibility of taking real number powers of the differential operator ::D = frac{d}{dx} , and the integration operator J . (Usually J is used in favor of I to avoid confusion with other I like … Wikipedia
Fractional-reserve banking — is the banking practice in which banks keep only a fraction of the value of their bank notes and demand deposits in reserve and invest the balance in interest earning assets while maintaining the obligation to redeem all bank notes and demand… … Wikipedia
Fractional order control — or ( FOC ) is a field of control theory that uses the fractional order integrator as part of the control system design toolkit.The fundamental advantage of FOC is that the fractional order integrator weights history using a function that decays… … Wikipedia
Fractional Flow Reserve — Fractional Flow Reserve, (often referred to as FFR) is an invasive (percutaneous) method used to measure intra coronary pressure to determine the severity of ischemia in the vessels of the heart. Coronary pressure derived fractional flow reserve… … Wikipedia
Fractional Fourier transform — In mathematics, in the area of harmonic analysis, the fractional Fourier transform (FRFT) is a linear transformation generalizing the Fourier transform. It can be thought of as the Fourier transform to the n th power where n need not be an… … Wikipedia
Fractional vortices — In a standard superconductor, described by a complex field |Psi|e^{iphi} (condensates wave function), vortices carry quantized magnetic field: a consequence of 2pi invariance of the phase phi of the condensate wave function |Psi|e^{iphi}. There a … Wikipedia
Fractional order integrator — A fractional order integrator or just simply fractional integrator is an integrator device that calculates the fractional order integral or derivative (usually called a differintegral) of an input. Differentiation or integration is a real or… … Wikipedia
Fractional part — All real numbers can be written in the form n + r where n is an integer (the integer part) and the remaining fractional part r is a nonnegative real number less than one. For a positive number written in decimal notation, the fractional part… … Wikipedia
Fractional Brownian motion — A normalized fractional Brownian motion (denoted fBm) B^H(t) on [0,T] , Tin mathbb{R} is a continuous time Gaussian process starting at zero, with mean zero, and having the following correlation function::E [B^H(t) B^H(s)] =frac{1}{2}… … Wikipedia
Function composition — For function composition in computer science, see function composition (computer science). g ∘ f, the composition of f and g. For example, (g ∘ f)(c) = #. In mathematics, function composition is the application of one function to the resul … Wikipedia
Variable fractional delay filter — Introduction= One important advantage of the variable digital filter is that the frequency characteristics, including the magnitude response and the phase response are tunable without re implementation of the filter. Variable fractional delay… … Wikipedia
