Convergence is proven for the mass zero cluster expansion presented in Part 1 of this paper. An indication is given of changes necessary to treat the more difficult 2(V~b) 4 model and the lattice dipole gas. 9. Counting I In these sections we will be concerned with enumerating the terms in the cluster expansion in a way suitable for estimation. The complexities are largely notational, and due t...

in this paper, at first we have formulated the lowest order constrained variational method for the relativistic case of an interacting fermion system at finite temperature. then we have used this formalism to calculate some thermodynamic properties of liquid in the relativistic regime. the results show that the difference between total energies of relativistic and non-relativistic cases of liqu...

In this paper, our team – “ICTNET”, participated in the diversity task of Web Track of TREC 2010. The full Category A dataset was used. The same settings as the ad-hoc task were adopted for retrieval. Different clustering methods which were then applied on different fields are elaborated. Query expansion techniques are presented next.

The Atomic Cluster Expansion (Drautz (2019) [21]) provides a framework to systematically derive polynomial basis functions for approximating isometry and permutation invariant functions, particularly with an eye modelling properties of atomistic systems. Our presentation extends the derivation by proposing precomputation algorithm that yields immediate guarantees complete is obtained. We provid...

Semilocal interactions, induced by collaborative electronic relaxations, are captured the multilayer extension of atomic cluster expansion, thereby providing a physically transparent, accurate, and transferable machine-learning interatomic potential.