We derive an expression for the exchange energy integral in terms of the density for the case of light atoms containing sand p electrons. We start from an approximate functional form of the density matrix for an electron cloud in the presence of an attractive nucleus. An important restriction to consider is the Pauli principle. A correction factor is included to account for the multipole expans...

Abstract The experimental work of this study deals with the performance pipe in sand various responses subjected to incremental static loading where backfill is reinforced two types reinforcement (geogrid and geocell) investigate effects cover. pipes considered are installed different densities; i.e., loose, medium dense sand, a constant burial depth (2D, D diameter). It was concluded that maxi...

Recent protest movements brought attention to the one percent, a segment of the population that is critical to understanding inequality and social mobility but that attracts relatively little research attention. In this article, I survey current research on the one percent in the United States. I distinguish income from wealth and show that both are very concentrated but that the concentration ...

Background: Sand production is an important factor affecting reservoir exploitation. Excessive sand production affects the oil well life, causes the damage to the oil recovery device and brings serious hidden danger in the process of safety production. Objective: This paper presents a sand content computation model for the crude oil, which uses the power of sand production and Parseval theorem,...