For subsets in the standard symplectic space $(\mathbb{R}^{2n},\omega_0)$ whose closures are intersecting with coisotropic subspace $\mathbb{R}^{n,k}$ we construct relative versions of Ekeland-Hofer capacities respect to $\mathbb{R}^{n,k}$, establish representation formulas for such bounded convex domains $\mathbb{R}^{n,k}$. We also prove a product formula and fact that value this capacity on h...

The field of quantitative evolutionary design uses evolutionary reasoning (in terms of natural selection and ultimate causation) to understand the magnitudes of biological reserve capacities, i.e. excesses of capacities over natural loads. Ratios of capacities to loads, defined as safety factors, fall in the range 1.2-10 for most engineered and biological components, even though engineered safe...

Multiple sclerosis (MS) is a chronic autoimmune disorder of central nervous system. This demyelinating disease affects more than 2.3 million people world wild. Most of patients are young adult. The most common type of MS is relapsing remitting multiple sclerosis (RRMS). However there is no cure, available modifying therapies has revolutionized the care of patients with RRMS. Interferon (IFN) be...

We construct a cooperative sta¢ ng game to investigate how to fairly allocate the reduced number of sta¤s among multiple call centers that pool (centralize) their capacities. We show that this game is essential and submodular, and thereby, convex with a non-empty core. We also propose a neat Shapley value-characterized sta¤-allocation rule, which exists in the core of the game.

Tile workers are exposed to dust particles and are susceptible to multiple pulmonary complications. Problems like asthma, chronic obstructive pulmonary symptoms, and silicosis are more common among them. As there are many tile factories in Yazd, we decided to evaluate the respiratory symptoms and lung capacities in these workers and compare them with controls. This study included 176 tile and c...

In satellite communication networks the MAC protocol (Medium Access Control) plays an important role in the efficient utilization of scarce bandwidth resources. There exist many DAMA (Demand Assignment Multiple Access) protocols that operate in this mode; see Koutsakis [ ]. With such network management technique the network provider (NP) can efficiently allocate and distribute the scarce and va...

This article describes how the concept of Tourism Carrying Capacity (TCC) has shifted from a uni-dimensional approach to incorporating environmental, social and political aspects. This shift is demonstrated by a study of a large, internationally popular protected area used by trekkers, the Mt. Everest Region, where qualitative data collected from visitors was combined with environmental modelin...

We discuss the potential theory related to the variational capacity and the Sobolev capacity on metric measure spaces. We prove our results in the axiomatic framework of [16].