15(R/S)-methyl-LXA(4) was well tolerated, and significantly reduced the severity of eczema. The results of this small exploratory study suggest that 15(R/S)-methyl-LXA(4) warrants further investigation in the treatment of eczema.

We obtain nontrivial exponents for Erdős-Falconer type point configuration problems. Let T k (E) denote the set of distinct congruent k-dimensional simplices determined by (k + 1)-Results of this type were previously obtained for triangles in the plane (k = d = 2) in [9] and for higher k and d in [8]. We improve upon those exponents, using a group action perspective, which also sheds light on the classical approach to the Falconer distance problem.

The electrification of the transportation sector is moving on at a fast pace. All car manufacturers have strong programs to electrify their car fleet to fulfill the demands of society and customers by offering carbon-neutral technologies to bring goods and persons from one location to another. Power electronics technology is, in this evolution, essential and also in a rapid development technology-wise. Some of the introduced technologies are quite mature, and the systems designed must have high reliability as they can be quite complicated from an electrical perspective. Therefore, this article focuses on the reliability of the used power electronic systems applied in electric vehicles (EVs) and hybrid EVs (HEVs). It introduces the reliability requirements and challenges given for the power electronics applied in EV/HEV applications. Then, the advances in power electronic components to address the reliability challenges are introduced as they individually contribute to the overall system reliability. The reliability-oriented design methodology is also discussed, including two examples: an EV onboard charger and the drive train inverter. Finally, an outlook in terms of research opportunities in power electronics reliability related to EV/HEVs is provided. It can be concluded that many topics are already well handled in terms of reliability, but issues related to complete new technology introduction are important to keep the focus on.

No abstract

Let µ be a Frostman measure on E ⊂ R d . The spherical average estimatewas originally used to attack Falconer distance conjecture, via Mattila's integral. In this paper we consider the pinned distance problem, a stronger version of Falconer distance problem, and show that spherical average estimates imply the same dimensional threshold on both of them. In particular, with the best known spherical average estimates, we improve Peres-Schlag's result on pinned distance problem significantly.The idea in our approach is to reduce the pinned distance problem to an integral where spherical averages apply. The key new ingredient is the following identity. Using a group action argument, we show that for any Schwartz function f on R d and any x ∈ R d , ∞ 0 |ω t * f (x)| 2 t d−1 dt = ∞ 0