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Toward Polaritonic Molecular Orbitals for Large Molecular Systems. [PDF]
El Moutaoukal Y +3 more
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Electrons and Phonons in Pentacene: Coupling Patterns Reveal the Microscopic Origin of the Phonon Limited Mobility. [PDF]
Gnoli L +4 more
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Approximation of the infection-age-structured SIR model by the conventional SIR model of infectious disease epidemiology. [PDF]
Brinks R, Hoyer A.
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Automatic Generation of Density-Fitting Auxiliary Basis Sets for All-Electron Dirac-Kohn-Sham Calculations. [PDF]
Antonini N +3 more
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Impacts of Compression on the Ground and Low-Lying Excited Doublet States of Plasma-Embedded Lithium Atom. [PDF]
Doma S, Roston G, Ahmed M.
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Mathematica’s capability for definite integration gained substantial power in Version 3.0. Comprehensiveness and accuracy were two major trends that were given strong consideration and have been successfully accomplished in the new development. Definite integration procedures were tested against all major handbooks of integrals. Mathematica now is able
Victor S. Adamchik (5409170)
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On the Definitions of (Co‐)integration
Journal of Time Series Analysis, 1999Two problems exist in testing for (co‐)integration. One is that current definitions of fractional integration in the time domain can be incomplete. The other is that disregarding fractional orders of integration can cause incorrectly sized inference about cointegration.
Abadir, Karim M., Taylor, Robert A. M.
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On a symmetrized definite integration
Applied Mathematics and Computation, 2007The result reported in the present paper is based on an extension of Riemann's integration (as an alternative to Lebesgue's integration), that involves a direct projection of the curve of \(f(x)\) on the \(y= x\) line itself. Evaluation of this integral is shown to be related to the solution of nonlinear Cauchy problem and/or a nonlinear functional ...
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The Cauchy Definition of a Definite Integral
The Annals of Mathematics, 1915where 41.. m denote numbers chosen at random in (a, x1)... (Xm1, b). Riemannt takes the limit of the sum (2) as his definition of the definite integral of any function f(x) in the interval (a, b). A bounded function f(x) will therefore be said to be integrable in the Cauchy sense if the limit on the right in (1) is unique for all modes of subdivision ...
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