Sentence examples for analytic potential from inspiring English sources

One called distortion analyticity works sometimes for potentials which are the sum of a dilation analytic potential and a potential with exponential decay (but not necessarily any x-space analyticity).

The present paper provides an overview of the NEPS newborn cohort study and its analytic potential.

"We want to have thousands of them, or ten thousands, and see what analytic potential they may have," says Lenstra.

Finally, we address the analytic potential of PIAAC-L data set and its availability to the scientific community.

The analytic potential structures are selected out of a class of generalized uniform electrostatic fields where a special mechanical principle of similarity is obeyed approximately in some region.

By using the complex variable technique of Muskhelishvili, the analytic potential functions are obtained in the form of an infinite series.

In particular we prove that, in two dimensions, generic analytic potentials that are even with respect to each variable are spectrally determined (up to a rotation).

Use of non-polynomial and even non-analytic potential functions is motivated by needs of practical design.

Using a combination of analytic-potential and first-principles density functional theory (DFT) calculations, composition effects on energetics, adsorption energies, and catalytic activity of Au Pd nanoalloys are investigated, selecting CO oxidation to CO2 as a prototypical reaction and 55-atom Au Pd clusters with Mackay icosahedral structure as template systems.

Some approaches for non-analytic potentials include Cattaneo Graf–Hunziker [85], Cancelier Martinez Ramond [80] and Martinez Ramond Sjöstrand [443].

Compared to the analytic Ewald potential, the optimized potentials can reach higher precisions by up to several orders of magnitude at comparable computational cost.