Davis's Inequalities for Two-Parameter Banach Space Valued Strong Martingales and Geometrical Properties of Banach Spaces

In this paper we investigated theL 1 norm inequalities of theP square and the maximal functions of two-parameterB-valued strong martingales, which can be applied to characterizep-smoothness andq-convexity of Banach spaces.

Two-Parameter Banach Space Valued Strong Martingales and Characterizations of p-Smoothable Spaces

In this paper we introduce the concept of two-parameterB-valued strong martingales and investigate some features of these strong martingales. We also characterizep-smoothable Banach spaces in terms of these strong martingales.

铝酸钠溶液色度调控技术研究

冶金级氧化铝的生产过程中,对溶液的色度没有要求。但是,生产化学品氧化铝时,对铝酸钠溶液的质量要求较高,又提出了溶液色度的概念,并且成为了一个重要控制指标。近年来,由于溶液色度的波动,给化学品氧化铝生产带来了很大的影响,急需对溶液色度开展相关研究。本文通过对铝酸钠溶液的氧化、还原来影响溶液电位,研究了铝酸钠溶液色度和电位的关系;提出了通过调整溶液电位来控制溶液色度的方法,并讨论了该方法的理论依据。此方法通过大量的实验室试验,结果重现性非常好,经过此方案处理过的铝酸钠溶液,b值均有不同程度的降低,可以达到生产化学品氧化铝的质量要求。此文可以为研究溶液色度的科研人员提供参考。

Computation of the acoustic nonlinearity parameter in organic liquid binary mixtures

Based on Jacobson’s molecular free length theory in liquids and the relationship between the ultrasonic velocity and the molecular free length in organic liquids, the equation of the acoustic nonlinearity parameter in organic liquid binary mixtures is derived. The calculated values from the equation are in good agreement both with those from Apfel’s and from Sehgal’s mixture laws.