Results 241 to 250 of about 3,305 (304)

Toward Polaritonic Molecular Orbitals for Large Molecular Systems. [PDF]

open access: yesJ Chem Theory Comput
El Moutaoukal Y   +3 more
europepmc   +1 more source

Electrons and Phonons in Pentacene: Coupling Patterns Reveal the Microscopic Origin of the Phonon Limited Mobility. [PDF]

open access: yesJ Phys Chem C Nanomater Interfaces
Gnoli L   +4 more
europepmc   +1 more source

Definite Integration

open access: yes, 2018
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)
openaire   +2 more sources

On the Definitions of (Co‐)integration

Journal of Time Series Analysis, 1999
Two 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.
openaire   +2 more sources

On a symmetrized definite integration

Applied Mathematics and Computation, 2007
The 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 ...
openaire   +2 more sources

The Cauchy Definition of a Definite Integral

The Annals of Mathematics, 1915
where 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 ...
openaire   +1 more source

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