Annually, many people are irradiated for diagnostic and therapeutic purposes. Assessment of radiation dose and its related risks to patients are important issues in radiation protection dosimetry. The complex mathematical calculations of the absorbed and effective doses are now done with computers. The calculations are performed with the help of anthropomorphic computational models of human bod...

Thermodynamic stable interaction pair potentials which are not of the form “positive function + real continuous function of positive type” are presented in dimension one. Construction of such a potential in dimension two is sketched. These constructions use only elementary calculations. The mathematical background is discussed separately. PACS numbers: 05.20.-y, 02.20.-a, 02.40.Ft

Fast plane wave density functional theory molecular dynamics calculations on multi-GPU machines Weile Jia1 , Jiyun Fu1, Zongyan Cao1, Long Wang1, Xuebin Chi1 ,Weiguo Gao2, Lin-Wang, Wang3 1. Supercomputing Center , Chinese Computer Network Information Center, Chinese Academy of Science 2. School of Mathematical Sciences, Fudan University 3. Material Science Division, Lawrence Berkeley National ...

In this paper we analyze discrete torsion in perturbative heterotic string theory. In previous work we have given a purely mathematical explanation of discrete torsion as the choice of orbifold group action on a B field, in the case that dH = 0; in this paper we perform the analogous calculations in heterotic strings where dH = 0.

in this paper, by introducing two virtual decision-making units (dmus) called ideal dmu (idmu) and anti-ideal dmu (admu) with fuzzy inputs-outputs, the efficiency evaluation of dmus are done by fuzzy data envelopment analysis (fdea). therefore, we evaluate dmus from the perspective of the best and worst possible relative efficiency. for each dmu two efficiencies are calculated while inputs and ...

the dispersibility of graphene is modeled as a mathematical function of the molecular structure of solvent represented by simplified molecular input-line entry systems (smiles) together with the graph of atomic orbitals (gao). the gao is molecular graph where atomic orbitals e.g. 1s1, 2p4, 3d7 etc., are vertexes of the graph instead of the chemical elements used as the graph vertexes in the tra...

This paper describes an approach based on reachability calculations for ensuring robust operation guarantees in flight maneuver sequences performed by unmanned aerial vehicles (UAVs) under supervision of human operators, with applications to safety-critical scenarios. Using a hybrid system formalism to model the maneuver sequence, the paper devises systematic procedures for designing switching ...

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...