Abhishek K. Singh

TL;DR: In this article , a Calderóns reproducing formula for convolutors is derived and an inversion formula for wavelet transform on multiplicators and convolutor of ultradistribution space.

TL;DR: In this paper, the influence of the wettability on the maximum spread after the consecutive impact of two successive water drops on surfaces with various Wettability is studied. And the authors show that the maximum spreading diameter is higher for both the first and second drops, compared to that on a hydrophobic surface.

Abstract: Nanoforms of silicon such as nanoparticles and nanowires have been attracting much attention and recent findings of novel metal encapsulated silicon clusters as well as nanotubes have opened up new avenues for the development of silicon nanostructures. We review these recent developments and discuss the findings of the metal encapsulated nanotubes of silicon and germanium using ab initio total energy calculations. These nanotubes are generally found to be metallic. The metalicity is not induced by the doping of metal atoms, though they stabilize silicon and germanium in tubular forms. Transition metal atoms such as Mn and Fe lead to nanotubes that are ferromagnetic making them interesting as nanomagnets. Antiferromagnetic and ferrimagnetic phases have also been obtained. A novel aspect of these magnetic nanotubes is the possibility of developing half-metallic nanotubes that could be interesting for nano-spintronics applications. Further possibilities of semiconducting silicon nanotubes are discussed.

TL;DR: It has been observed that PCM-S with ADPLICM is effective in minimizing noise during supervised classification by introducing local convolution.