Major Reference Works, Page 169-176., 2023 International Tables for Crystallography is the definitive resource and reference work for crystallography and structural science.
Each of the eight volumes in the series contains articles and tables of data relevant to crystallographic research and to applications of crystallographic methods in all sciences concerned with the ...
Gerrit van der Laan C. Chantler +2 more
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Generalization of the Modified Bessel Function and Its Generating Function [PDF]
, 2005 2000 Mathematics Subject Classification: 33C10, 33-02, 60K25This paper presents new generalizations of the modified Bessel function and its generating function.
Williams, J. +2 more
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Some special functions and cylindrical diffusion equation on α-time scale
Demonstratio MathematicaThis article is dedicated to present various concepts on α\alpha -time scale, including power series, Taylor series, binomial series, exponential function, gamma function, and Bessel functions of the first kind.
Silindir Burcu +3 more
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A limit theorem for singular stochastic differential equations
Modern Stochastics: Theory and Applications, 2016 We study the weak limits of solutions to SDEs \[ dX_{n}(t)=a_{n}\big(X_{n}(t)\big)\hspace{0.1667em}dt+dW(t),\] where the sequence $\{a_{n}\}$ converges in some sense to $(c_{-}\mathbb{1}_{x0})/x+\gamma \delta _{0}$.
Andrey Pilipenko, Yuriy Prykhodko
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Localized 3D acoustic streaming in microdroplets using high‐frequency micro‐beam IDTs
Droplet, EarlyView.Miniaturized 160 MHz acoustic microbeam transducers, with a size much smaller than droplets, enable precise localized actuation, generating complex three‐dimensional streaming and tunable particle aggregation. This concept provides high‐resolution, non‐contact fluid manipulation for biosensing, lab‐on‐chip diagnostics, and targeted drug screening ...
D. Sánchez‐Saldaña +2 more
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Accurate Analytical Approximation for the Bessel Function J2(x)
Mathematical and Computational ApplicationsWe obtain an accurate analytic approximation for the Bessel function J2(x) using an improved multipoint quasirational approximation technique (MPQA). This new approximation is valid for all real values of the variable x, with a maximum absolute error of ...
Pablo Martin +3 more
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Journal of Marine Science and Engineering, 2019 By using the two-frequency coherence function model of a beam in a turbulent medium and the localized wave theory of the polychromatic beam, we develop the spectrum average mutual coherence function of the localized wave of Bessel−Gaussian ...
Shibao Deng, Yun Zhu, Yixin Zhang
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Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory. [PDF]
Heliyon, 2023 Munasinghe RM.
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Seismic analysis and design of tunnels within fault ground: A review
Deep Underground Science and Engineering, EarlyView.The research methods of seismic response of tunnels within fault ground, including field investigations, analytical solutions, physical experiments, and numerical simulations, and seismic countermeasures are discussed. The present study examines the shortcomings and limitations of the current research and design, and puts forward proposals for future ...
Xingda Wang +6 more
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Generation of J0 bessel beams with controlled spatial coherence features [PDF]
, 2010 : An alternative method to generate J0 Bessel beams with controlled spatial partial coherence properties is introduced. Far field diffraction from a discrete number of source points on an annular region is calculated. The average for different diffracted
GABRIEL CONSTANTINO MARTINEZ NICONOFF
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