We consider a convex polygonal heat conductor whose inscribed circle touches every side of the conductor. Initially, the conductor has constant temperature and, at every time, the temperature of its boundary is kept at zero. The hot spot is the point at which temperature attains its maximum at each given time. It is proved that, if the hot spot is stationary, then the conductor must satisfy two...

The temperature and composition of Earth's mantle control fundamental planetary properties, including the vigor of mantle convection and the depths of the ocean basins. Seismic wave velocities, ocean ridge depths, and the composition of mid-ocean ridge basalts can all be used to determine variations in mantle temperature and composition, yet are typically considered in isolation. We show that c...

We report new near-infrared, long-baseline interferometric observations at the AU scale of the pre-main-sequence star FU Orionis with the PTI, IOTA and VLTI interferometers. This young stellar object has been observed on 42 nights over a period of 6 years from 1998 to 2003. We have obtained 287 independent measurements of the fringe visibility with 6 different baselines ranging from 20 to 110 m...

We have examined the directional cross-correlation of statistical ‘hot-spots’ between a Northern Sky TeV Gamma Ray Survey by the Milagro Observatory and a similar survey by the Tibet Array. We find the directions of these hot-spots are angularly uncorrelated between the two surveys for large angular separations (∆θ > 4), but there appears to be a statistically significant correlation between ho...

Acoustic behavior of lipid-coated microbubbles has been widely studied, which has led to several numerical microbubble dynamics models that incorporate lipid coating behavior, such as buckling and rupture. In this study we investigated the relationship between microbubble acoustic and lipid coating behavior on a nanosecond scale by using fluorescently labeled lipids. It is hypothesized that a l...

This paper presents how hot spot detection methods can be extended to allow for temporal dimensions. Major concerns are how temporal dimension is incorporated into the framework of point pattern analysis, while maintaining the capability of multi-scale analysis. The study elaborates on expanding the scope of (space) K function in order to count time in the analysis. With the explicit treatment ...

A hot spot refers to numerous crime incidents clustered in a limited space-time range. The near-repeat phenomenon suggests that every victimization might form a contagion-like pattern nearby in terms of both space and time. In this article, the near-repeat phenomenon is used to analyze the risk levels around hot spots. Utilizing a recent burglary dataset in N (a large city located in southeaste...

The M26 hot spot of meiotic recombination in Schizosaccharomyces pombe is the eukaryotic hot spot most thoroughly investigated at the nucleotide level. The minimum sequence required for M26 activity was previously determined to be 5'-ATGACGT-3'. Originally identified by a mutant allele, ade6-M26, the M26 heptamer sequence occurs in the wild-type S. pombe genome approximately 300 times, but it h...

The zigbee tree routing is wide used in several resource restricted devices and applications. Since it doesn’t need any routing table and route discovery overhead to send a packet to the destination. But the ZigBee tree routing has the elemental limitation that a packet follows the tree topology. Therefore, it cannot provide the optimum routing path. The shortcut tree routing protocol that prov...

Detailed multi-frequency VLA observations of the prominent southern radio galaxy Pictor A are described. The radio structure is found to comprise very dim, nearly circular lobes with an extraordinarily bright and compact hot spot located at the western extremity of the western lobe. A faint jet is observed to connect this hot spot with the radio nucleus. No counter-jet is seen. The eastern lobe...