Conserved quantity partition for Dirac’s equation

Evidence for a Conserved Quantity in Human Mobility

Recent seminal works on human mobility have shown that individuals constantly exploit a small set of repeatedly visited locations. A concurrent literature has emphasized the explorative nature of human behavior, showing that the number of visited places grows steadily over time. How to reconcile these seemingly contradicting facts remains an open question. Here, we analyze high-resolution multi...

Possible conserved quantity for the Hénon-Heiles problem.

Saha’s Equation and the Partition Function

The Saha equation is usually derived using an argument involving one of the classical thermodynamic functions, the Gibbs’ free energy. Sometimes dynamical arguments are used. Since the Saha result is a statistical relation, it would be desirable to have less roundabout methods for its derivation. Here the Saha equation is derived directly from the partition function. The dissociation interactio...

Partition of Unity Finite Element Method Implementation for Poisson Equation

Partition of Unity Finite Element Method (PUFEM) is a very powerful tool to deal overlapping grids. It is flexible and keeps the global continuity. In this paper, we consider PUFEM for Poisson equation for minimal overlapping grids. We present details of the implementation of Poisson equation in 2D for two overlapping domains using triangular meshes. Department of Mathematical Sciences, Univers...

ADMISSIBLE PARTITION FOR BL-GENERAL FUZZY AUTOMATON

In this note, we define the concepts of admissible relation and admissible partition for an arbitrary BL-general fuzzy automaton.In particular, a connection between the admissible partition and the quotient BL-general fuzzy automaton is presented.It is shown that if we use the maximal admissible partition, then we obtain a quotient BL-general fuzzy automaton and this quotient is minimal. Finall...