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High-performance temperature regulation of nonlinear CSTRs via a hybrid stellar oscillation optimizer and differential evolution-based PID-F control. [PDF]

Sci Rep
Ekinci S, Turkeri C, Gokalp I, Li Y, Li D.   +4 more
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Improper integral with exponential function

Journal of Intelligent & Fuzzy Systems, 2023
In this paper, we explore the improper integral with exponential function f = xx is approached to infinite series, and also prove the convergence of these series. An improper integral converges if the limit defining it exists. We use Maple code to calculate the infinite series.
AL-Hossain Ahmad, AL-Nashri, Altoum, Sami H., Elamin, Mahjoub A., Othman, Hakeem A.   +3 more
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Exponential functionals of integrated processes

Economics Letters, 2008
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Lee, Jungick, De Jong, Robert M.
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Quasiconformal mappings and exponentially integrable functions

Studia Mathematica, 2011
We prove that a if-quasiconformal mapping f: R2 → R 2 which maps the unit disk D onto itself preserves the space EXP(D) of exponentially integrable functions over D, in the sense that u ∈ EXP(D) if and only if u o f-1 ∈ EXP(D). Moreover, if / is assumed to be conformal outside the unit disk and principal, we provide the estimate 1/1+K log K ≤ ||u o f-1|
Farroni F., GIOVA, Raffaella
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Exponential estimates for oscillatory integrals with degenerate phase functions

Nonlinearity, 2008
In this paper we give precise asymptotic expansions and estimates of the remainder R(λ) for oscillatory integrals with non Morse phase functions, having degeneracies of any order k ≥ 2. We provide an algorithm for writing down explicitly the coefficients of the asymptotic expansion analysing precisely the combinatorial behaviour of the coefficients ...
FRANCO CARDIN, GRAMTCHEV, TODOR VASSILEV, ALBERTO LOVISON   +2 more
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On Some Exponential-integral Functionals of Bessel Processes

Mathematical Finance, 1993
This paper studies the moments of some exponential‐integral functionals of Bessel processes, which are of interest in some questions of mathematical finance, including the valuation of perpetuities and Asian options.
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