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Double exponential sums with exponential functions
International Journal of Number Theory, 2017We obtain several estimates for double rational exponential sums modulo a prime [Formula: see text] with products [Formula: see text] where both [Formula: see text] and [Formula: see text] run through short intervals and [Formula: see text] is fixed integer.
Shparlinski, Igor E., Yau, Kam Hung
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Double-Exponential Utility Functions
Mathematics of Operations Research, 1986Ordinal 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 American Mathematical Monthly, 1957
(1957). The Exponential Function. The American Mathematical Monthly: Vol. 64, No. 3, pp. 158-160.
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(1957). The Exponential Function. The American Mathematical Monthly: Vol. 64, No. 3, pp. 158-160.
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1995
It is a general problem to determine the continued fractions for values of classical functions suitably normalized. We shall describe a solution of this problem in a very special case which will allow us in particular to get the continued fraction for e.
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It is a general problem to determine the continued fractions for values of classical functions suitably normalized. We shall describe a solution of this problem in a very special case which will allow us in particular to get the continued fraction for e.
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Exponential Functional Equations
2011The exponential function \(f(x)=e^x\) is a powerful tool in each field of natural sciences and engineering since many natural phenomena well-known to us can be described best of all by means of it. The famous exponential functional equation \(f(x+y)=f(x)f(y)\) simplifies the elegant property of the exponential function, for example, exCy D exey.
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Spiral Exponential Function—Chapter 6: The Spiral Exponential Function
This chapter explores the spiral exponential function, a unified framework that encompasses divergent, rotational (oscillatory), and convergent motion modes through a single mathematical structure. Building on the Maclaurin expansion and Euler's formula, it introduces a mediating angle to smoothly transition between real exponential and complex forms ...openaire +1 more source
A-to-Z Guide to Thermodynamics, Heat and Mass Transfer, and Fluids Engineering, 2006
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Exponentials and Bessel Functions
The Fibonacci Quarterly, 1976Davis, Bro. Basil, Hoggatt, V. E. jun.
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