Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...

The need for understanding what has lead to a failure in a computer system is crucial for addressing problems with such systems. In this report we present a meta-NLG system that can be configured to generate natural explanations from error trace data originating in an external computational system. Distinguishing features are the generic nature of the system, and the underlying technology which...

Inflation determination is studied in a model in which policy makers care about inflation and the difference between actual and desired output as in Kydland and Prescott (1977) and Barro and Gordon (1983). We extend the analysis by assuming that desired output depends on the realisation of the supply shock, and show that this influences average inflation. Furthermore, we demonstrate that inflat...

Zhangxi Lin*, Department of ISQS, Texas Tech University, [email protected] Dehua Yang, Department of MSI, Tongji University, [email protected] Chongrong Li, Network Research Center, Tsinghua University, [email protected] Malcolm Crowe, Department of CIS, University of Paisley, [email protected] John Gordon, Department of CIS, University of Paisley, [email protected] Matti Hämäl...

M. R. Gerhardt, Dr. Q. Chen, Prof. R. G. Gordon, Prof. M. J. Aziz Harvard John A. Paulson School of Engineering and Applied Sciences Cambridge, MA 02138, USA E-mail: [email protected] L. Tong, Dr. R. Gómez-Bombarelli, Prof. A. Aspuru-Guzik, Prof. R. G. Gordon Department of Chemistry and Chemical Biology Harvard University Cambridge, MA 02138, USA Prof. M. P. Marshak Department of Chemistry and ...

We show that every tempered distribution, which is a solution of the (homogenous) Klein-Gordon equation, admits a “tame” restriction to the characteristic (hyper)surface {x0 + x = 0} in (1 + n)-dimensional Minkowski space and is uniquely determined by this restriction. The restriction belongs to the space S′ ∂ − (R) which we have introduced in [16]. Moreover, we show that every element of S′ ∂ ...

Acknowledgements Foundations of success would like to thank the many individuals and organizations who have contributed to our work on this synthesis. In particular, we would like to thank the following individuals for generously sharing their knowledge of monitoring and evaluation in the conservation field and/or for reviewing and providing helpful feedback on earlier drafts of this work: (Wil...

We study global dynamics for the focusing nonlinear Klein-Gordon equation with the energy-critical nonlinearity in two or higher dimensions when the energy equals the threshold given by the ground state of a mass-shifted equation, and prove that the solutions are divided into scattering and blowup. In short, the Kenig-Merle scattering/blowup dichotomy [10, 11] extends to the threshold energy in...

In this draft version we prove inhomogeneous Strichartz estimates with spherical symmetry in the abstract setting via duality arguments. Then we derive some new explicit estimates in the context of the wave equation. This allows us to prove global existence of spherically symmetric solutions to the Dirac-Klein-Gordon (DKG) system in two space dimensions.

[1] The existence of a new route that draws relatively cold waters from the Pacific Ocean to the North Atlantic via the Tasman outflow is presented. The new route materialises with comparable magnitude and characteristics in three independent numerical realisations of the global ocean circulation. Its realism is supported by hydrographic data interpolated via an inverse model. The ‘‘Tasman leak...