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We give a simpler construction than in Fan and Dai (2005) of the matrix associated to the SPB used to perform the field multiplication.
We prove exponentially small estimates on the off-diagonal terms of the scattering matrix associated to two-state semiclassical Schrödinger Hamiltonians.
Another interesting property of the method is that it does not need any spectral decomposition of the Jacobian or Roe matrix associated to the flux function.
The groups K0(C⁎(E,C)) and K1(C⁎(E,C)) are completely described via a map built from an adjacency matrix associated to (E,C).
We use Monte Carlo simulations to estimate the average Fisher's information matrix associated to the PK problem, and then estimate the sampling points that minimize the maximum uncertainty associated to system parameters (a minimax criterion).
We introduce here a new class of invariants for MD trajectories based on the spectral moments πk(L) of the Markov matrix associated to lattice network-like (LN) graph representations of Molecular Dynamics (MD) trajectories.
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Thanks to the large French experimental database, we determined reliable covariance matrices associated to JEFF3.1.1 evaluations, in order to perform the propagation of nuclear data uncertainties.
In turn this analysis relies on the so-called grouping in blocks approach to a large product of the transfer matrices associated to J.
Then the matrices associated to the linear mappings are − D 0, − A 0 (see below).
Then the matrices associated to the linear mappings are − B 1, − C 1 (see below).
Such experiments should consider other FMs to investigate the performance of the implementation and the impact of using the matrices associated to the fitness.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com