It is known that a regularly Lyapounov function for a semigroup of contractions on a Hilbert space converges to its minimum along the trajectories of the semigroup. In this paper we show that this Lyapounov function nearly converges to its minimum along trajectories of the semigroup generated by a small bounded perturbation of the semigroup generator.

The aim of this paper is to apply the concept of fuzzy soft sets over a Γ -semigroup. Here the notion of fuzzy soft ideals over a Γ -semigroup has been introduced. The special union, intersection and product of fuzzy soft ideals over a Γ -semigroup have been defined and proved that these are also fuzzy soft Γ -ideals over the Γ -semigroup.

In 2007, Kaiser Permanente's (KP) Southern California Region designed and implemented a systematic in-reach program, the Proactive Office Encounter (POE), to address the growing needs of its three million patients for preventive care and management of chronic disease. The program sought staff from both primary and specialty care departments to proactively identify gaps in care and to assist phy...

Three-phase unbalance is an important power quality issue that can cause many negative effects to the power system. Effective mitigation and management of voltage unbalance will benefit from the knowledge of how the unbalanced sources contribute to the voltage asymmetry at the point of evaluation (POE). In this paper, a method is proposed to assess the overall unbalance contribution of the mult...

A simple and fast protocol for the preparation of a large-size mutant library for directed evolution in Escherichia coli was developed based on the DNA multimers generated by prolonged overlap extension polymerase chain reaction (POE-PCR). This protocol comprised the following: (i) a linear DNA mutant library was generated by error-prone PCR or shuffling, and a linear vector backbone was prepar...

This paper explores the application of oblivious equilibrium to concentrated industries. We define an extended notion of oblivious equilibrium that we call partially oblivious equilibrium (POE) that allows for there to be a set of “dominant firms”, whose firm states are always monitored by every other firm in the market. We perform computational experiments that show that POE are often close to...

Introduction of more effective and standardized assessment methods for testing students' performance in Africa's medical institutions has been hampered by severe financial and personnel shortages. Nevertheless, some African institutions have recognized the problem and are now revising their medical curricula, and, therefore, their assessment methods. These institutions, and those yet to come, n...

OBJECTIVE To describe the frequency, characteristics, and patient outcomes for women who accessed Emergency Medical Services (EMS) for obstetric emergencies at the ports of entry (POE) between El Paso, Texas, United States of America, and Ciudad Juárez, Chihuahua, Mexico. METHODS A descriptive study of women 12-49 years of age for whom an EMS ambulance was called to an El Paso POE location fr...

in this paper we establish a characterization of abelian compact hausdorff semigroups with unique idempotent and ideal retraction property. we also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.