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Frontiers in Microbiology, 2022 Synechococcus is one group of main primary producers and plays a key role in oceanic carbon fixation and transformation. To explore how the temperature rise affects the bioavailability of Synechococcus-derived dissolved organic matter (SOM) and whether ...
Jiajie Zhang +11 more
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Laplace–Fourier Transform of the Stretched Exponential Function: Analytic Error Bounds, Double Exponential Transform, and Open-Source Implementation “libkww” [PDF]
Algorithms, 2012 The C library libkww provides functions to compute the Kohlrausch–Williams– Watts function, i.e., the Laplace–Fourier transform of the stretched (or compressed) exponential function exp(-tβ ) for exponents β between 0.1 and 1.9 with double precision. Analytic error bounds are derived for the low and high frequency series expansions.
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Truncated Moments for Heavy-Tailed and Related Distribution Classes
Mathematics, 2023 Suppose that ξ+ is the positive part of a random variable defined on the probability space (Ω,F,P) with the distribution function Fξ. When the moment Eξ+p of order p>0 is finite, then the truncated moment F¯ξ,p(x)=min1,Eξp1I{ξ>x}, defined for all x⩾0, is
Saulius Paukštys +2 more
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Criteria for the Application of Double Exponential Transformation
, 2017 The double exponential formula was introduced for calculating definite integrals with singular point oscillation functions and Fourier-integrals. The double exponential transformation is not only useful for numerical computations but it is also used in different methods of Sinc theory.
Khatibi, Arezoo, Khatibi, Omid
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, 2023 Double-exponential fits to the combined orientational correlation functions of the H57, D81, and S139 active site side chains.
Michael Feig (775637) +2 more
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AxiomsThis study introduces two novel methodologies for solving systems of Fredholm integral equations, with particular emphasis on second-kind equations. The first method integrates the Sinc-collocation technique with a newly developed singular exponential ...
Saeed Althubiti, Abdelaziz Mennouni
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CLONING AND SEQUENCING OF GENOME SEGMENT 10 OF AFRICAN HORSESICKNESS VIRUS TYPE 9 [PDF]
Assiut Veterinary Medical Journal, 1996 African horsesickness virus, Type 9 Plum Island isolate, (AHSV, T9 PI) was p < /strong>ropagated on VERO cells till reaching 70% CPE. The double stranded (ds) RNA genome was extracted using the Phenol Chloroform Method, CLONING AND SEQUENCING OF ...
A.H. HUSSEIN +2 more
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A Double Exponential Formula for the Fourier Transforms
Publications of the Research Institute for Mathematical Sciences, 2005 From the introduction: We propose a new efficient method that is applicable for the computation of the Fourier transform of a function which may possess a singular point or slowly convergence infinity. The proposed method is based on a generalization of the method of the double exponential (DF) formula. Although it is a widely applicable formula, it is
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Pricing of a Binary Option Under a Mixed Exponential Jump Diffusion Model
MathematicsThis paper focuses on the pricing problem of binary options under stochastic interest rates, stochastic volatility, and a mixed exponential jump diffusion model.
Yichen Lu, Ruili Song
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Construction of conformal maps based on the locations of singularities for improving the double exponential formula [PDF]
IMA Journal of Numerical Analysis, 2019 The double exponential formula, or DE formula, is a high-precision integration formula using a change of variables called a DE transformation; it has the disadvantage that it is sensitive to singularities of an integrand near the real axis. To overcome
Shunki Kyoya, Ken'ichiro Tanaka
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