Let p be a positive number. Consider probability measure γp with density φp(y) = cn,pe − |y| p . We show that the maximal surface area of a convex body in R with respect to γp is asymptotically equal to Cpn 3 4 − 1 p , where constant Cp depends on p only. This is a generalization of Ball’s [Ba] and Nazarov’s [N] bounds, which were given for the case of the standard Gaussian measure γ2.

We present a unified computational approach to tensorbased morphometry in detecting the brain surface shape difference between two clinical groups based on magnetic resonance images. Our approach is novel in a sense that we combined surface modeling, surface data smoothing and statistical analysis in a coherent unified mathematical framework. The cerebral cortex has the topology of a 2D highly ...

This paper reports on the direct ability of two positively charged organic polyelectrolytes (natural-based and synthetic) to reduce the atrazine concentration in water. The adsorption study was set up using multiple glass vessels with different polymer dosing levels followed by ultrafiltration with a 1 kDa membrane. The addition of polymers exhibited a capability in reducing the atrazine concen...

Dip catalysts are attracting interest in both academia and industry for catalyzing important chemical reactions. These provide excellent stability, better recoverability, recyclability, easy scale-up. Using the unique microstructures of leaf skeletons, we present a fractal-like hierarchical surface that can be used as versatile efficient dip catalyst. Copper oxide microcactuses with nanoscalar ...

Although lower brain volume is a consistent neuroimaging finding in attention deficit hyperactivity disorder (ADHD), we lack an understanding of whether this effect is driven by changes in cortical thickness or surface area, which are governed by distinct neurodevelopmental processes. This study examined ADHD-control differences in cortical thickness, surface area and volume, and tests whether ...

The effects of varying the silica source on synthesis of NaX zeolite crystals via conventional hydrothermal method have been investigated. Five different silica sources were selected while other parameters like Al source, reaction and aging time, SiO2/Al2O3 molar ratio and temperature were same. The prepared products were characterized by XRD technique. The results showed that different cry...

Polypyrrole/silver (PPy/Ag)nanocomposite was synthesized by a chemical oxidative method. SEM and TEM analyses were performed for studying the morphology of the nanocomposite. It was shown that the obtained nanocomposite particles have a spherical structure with the high surface area to volume ratio that is the important factor in the biological application. The particle sizes of the P...