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We consider large systems of particles interacting through rough but bounded interaction kernels.
Nevertheless, his work joins a rapidly growing body of research7, spurred on by developments in soft-matter physics, on the properties of bounded interaction potentials in one-component systems, in which the properties of (k) are used to obtain information on the ground-state configuration or the topology of the phase diagram.
Moreover, for fermionic systems some of these Hamiltonians have bounded interaction length.
We also provide translation-invariant fermionic Hamiltonians of bounded interaction length which cannot be generated by nearest-neighbor ones.
Here we neglected the issue that ( psi (0) notin L^2 ) which is remedied by taking the probabilities over a bounded interaction region.
We also identify translation-invariant fermionic Hamiltonians of bounded interaction length which cannot be generated from nearest-neighbor ones (see Theorem 33 of Section 7.4).
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A perfect plasticity model is used with convex and bounded plastic interaction surfaces.
Furthermore, we extend this result to general aggregation equations with a bounded Lipschitz interaction field.
The memory-bound interaction vector computation, accounting for almost two thirds of the compute time, features pre-allocation and a specific data ordering to reduce the costs of memory access.
The design of a compound with the correct geometries to maintain all of the bound interactions is a large challenge.
Meanwhile, the proposed approach is robust to guarantee the tracking error bounded when the interaction torque exists.
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