Bi-quotient maps, countably bi-sequential spaces and related topics

Investigating the Longitudinal Optical Conductivity in Three-Layer Graphene Systems with Composes Mono-Bi-Bi and Bi-Mono-Bi and Bi-Bi-Mono

The longitudinal optical conductivity is the most important property for graphene-baseddevices. So investigating this property for spatially separated few-layer graphene systems analytically and numerically is the main purpose of our study. Each layer can be mono- or bi-layer graphene. The density-density correlation function has been screened by the dielectric function using the random p...

Bi-Directional Heuristic Planning in State-Spaces

One of the most promising trends in Domain Independent AI Planning, nowadays, is state – space heuristic planning. The planners of this category construct general but efficient heuristic functions, which are used as a guide to traverse the state space either in a forward or a backward direction. Although specific problems may favor one or the other direction, there is no clear evidence why any ...

Mono-Mono-Mono and Bi-Bi-Bi three-layer graphene systems’ optical conductivity

Investigating the longitudinal optical conductivity of graphene systems, which is the mostimportant property for opto-electronic devices, for three-layer graphene systems theoretically and numerically is the main purpose of this study. Each layer can be mono- or bi-layer graphene. Separation between layers has been denoted by d, selected to be about ten nanometers. The carrier densities i...

Relative Compactness and Product Stable Quotient Maps

Asymptotic Geometry of Banach Spaces and Uniform Quotient Maps

Recently, Lima and Randrianarivony pointed out the role of the property (β) of Rolewicz in nonlinear quotient problems, and answered a ten-year-old question of Bates, Johnson, Lindenstrauss, Preiss and Schechtman. In the present paper, we prove that the modulus of asymptotic uniform smoothness of the range space of a uniform quotient map can be compared with the modulus of (β) of the domain spa...