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<sup>1</sup>H NMR Relaxation Processes in Lung Tissues at Low Magnetic Fields. [PDF]
MoleculesKołodziejski K +4 more
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A comparative analysis of parametric survival models and machine learning methods in breast cancer prognosis. [PDF]
Sci RepKaindal S, Venkataramana B.
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A mechanistically-inspired geometric model to predict microbial growth across environments
Tunstall T +3 more
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A Characterization of the Exponential Function
Journal of the London Mathematical Society, 1986Let 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.
Joseph Miles, Jack Williamson
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
1981Publisher Summary This chapter discusses exponential and logarithmic functions. Exponential functions arise in nature and are useful in chemistry, biology, and economics, as well as in mathematics and engineering. Logarithms can be viewed as another way of writing exponents.
BERNARD KOLMAN, ARNOLD SHAPIRO
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On orthogonally exponential functions
Archiv der Mathematik, 1995All complex valued functions, continuous at the origin or measurable on rays are described, which are orthogonally exponential and defined on a real inner product space of dimension at least 2.
Baron, Karol +2 more
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On the Exponential Inequalities and the Exponential Function
The Mathematical Gazette, 1907Theorem. If a he any positive quantity not equal to 1, and x, y, z be any three rational quantities in descending order of magnitude ...
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The American Mathematical Monthly, 1975
(1975). On the Exponential Function. The American Mathematical Monthly: Vol. 82, No. 8, pp. 842-844.
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(1975). On the Exponential Function. The American Mathematical Monthly: Vol. 82, No. 8, pp. 842-844.
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