Differential forms are interesting and important generalizations of real functions and distributions. Many interesting results and applications of differential forms have recently been found in some fields. As an important tool the Hardy-Littlewood inequality have been playing critical roles in many mathematics, including potential analysis, partial differential equations and the theory of elas...

The well-known Baum-Eagon inequality I31 provides an effective iterative scheme for finding a local maximum for homogeneous polynomials with positive coefticients over a domain of probability values. However, in many applications we are interested in maximizing a general rational function. We extend the Baum-Eagon inequality to rational functions. We briefly describe some of the applications of...

We consider on a two-dimensional flat torus T the following equation ∆u + ρ ( eu ∫ T e u − 1 |T | ) = 0. When the fundamental domain of the torus is (0, a) × (0, b) (a ≥ b), we establish that the constants are the unique solutions whenever ρ ≤ { 8π if b a ≥ π4 , 32 b a if b a ≤ π4 , and this result is sharp if b a ≥ π4 . A similar conclusion is obtained for general two-dimensional torus by cons...

SUMMARY Spectral information obtained from induced polarization (IP) measurements can be used in a variety of applications and is often gathered frequency domain (FD) at the laboratory scale. In contrast, field IP are mostly done time (TD). Theoretically, spectral content both domains should similar. practice, they different, mainly due to instrumental restrictions as well limited range measure...

The vulnerability of civil GPS receiver to interference may be intentional or unintentional. Among all types of interference, replay attack intended as the most dangerous intentional one. The signal structure of replay attack is almost the same with the satellite signal. The interference effects can be reduce with the design of an appropriate filter in the receiver. This paper presents two meth...

Building on previous studies on perceptions of inequality, welfare and risk we investigate the structure of individuals' rankings of uncertain prospects in terms of risk and their relationship to individual preferences. We examine three interlinked propositions that are fundamental to the standard economic approach to risk: (i) that rankings by risk are simply the reverse of ranking by preferen...