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Estimating fMRI timescale maps. [PDF]

open access: yesImaging Neurosci (Camb)
Riegner G   +3 more
europepmc   +1 more source
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A Characterization of the Exponential Function

Journal of the London Mathematical Society, 1986
Let E be the class of all entire functions \(f(t)=\sum^{\infty}_{k=0}a_ kt^ k\) with \(a_ 0=1\), \(a_ k>0\) for \(k=1,2,3,...\), and \(\int^{\infty}_{0}t^ k(f(t))^{-1}dt=1/a_ k, k=0,1,2,... \). A conjecture of Renyi and Vincze is verified by proving the exponential function \(f(t)=e^ t\) is the only member of E.
Miles, Joseph, Williamson, Jack
openaire   +1 more source

On the Exponential Inequalities and the Exponential Function

The Mathematical Gazette, 1907
Theorem. If a he any positive quantity not equal to 1, and x, y, z be any three rational quantities in descending order of magnitude, then
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Degenerate exponential integral function and its properties [PDF]

open access: yesArab Journal of Mathematical Sciences
Purpose – In this paper, the author introduces a degenerate exponential integral function and further studies some of its analytical properties. The new function is a generalization of the classical exponential integral function and the properties ...
Kwara Nantomah
exaly   +2 more sources

Double-Exponential Utility Functions

Mathematics of Operations Research, 1986
Ordinal additivity between two attributes X and Y is a property that permits the utility function u(x, y) to be represented as ϕ(v(x) + w(y)) for some functions ϕ, v and w where ϕ may be thought of as a single attribute utility function over v + w. In applications ϕ is usually taken to be either linear (the additive decomposition) or exponential (the ...
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The exponential function

1983
Let z denote the identity map on C. For every non-negative integer n, we define a polynomial function E n by $$ {E_n} = \sum\limits_{{k = 0}}^n {\frac{1}{{k!}}{z^k}} $$ Given an arbitrary complex number c, let n be such that n + 1 ≧ 2|c|, and let q be an arbitrary positive integer.
openaire   +2 more sources

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