In this paper we present several proofs on the extension of M. Riesz fractional integration and di¤erentiation to the contexts of spaces of homogeneous type and measure metric spaces with non-doubling measures. 1. Introduction, some de…nitions, and a basic lemma Professor M. Ash asked me to write a survey article on some of the results that Stephen Vági and I obtained in the nineties on fractio...

Sample of CsAg2I3 was prepared by solid state reaction. Then, microstructure parameters of this sample have been determined using wide angle X-ray scattering WAXS method. As well as, Cell parameters of crystal structure have been refined using CHEKCELL program. This analysis states that the lattice intrinsic strainof the sample is so small and the crystal size is on the order of 559Å. Keywords—...

We show how the generation of a lepton number in the Early Universe induced by να ↔ νs, in presence of small baryon number inhomogeneities, gives rise to the formation of lepton domains. The structure of these domains reflects the spectral features of the baryon number inhomogeneities that generated it and interestingly the size of the lepton domains can be super-horizon. PACS numbers: 14.60.Pq...

As the number of systems which offer annotations on digital documents increases, robust anchoring of annotations is a key challenge. It is especially important if the annotator lacks write-access to the document being annotated. For example, if someone makes an annotation on a web page today and the web page changes tomorrow, what happens to the annotation? One approach is simply to “orphan” th...

a r t i c l e i n f o Keywords: pressure-induced phase transition postperovskite super-Earth 10 solar giants first principles The fate of MgSiO 3 post-perovskite under TPa pressures is key information for understanding and modeling interiors of super-Earths-type exoplanets and solar giants' cores. Here, we report a dissociation of MgSiO 3 post-perovskite into CsCl-type MgO and P2 1 /c-type MgSi...

In this paper, we propose a novel random-forest scheme, namely Joint Maximum Purity Forest (JMPF), for classification, clustering, and regression tasks. In the JMPF scheme, the original feature space is transformed into a compactly pre-clustered feature space, via a trained rotation matrix. The rotation matrix is obtained through an iterative quantization process, where the input data belonging...

Keywords: shared variables network shared variables distributed programming UNIX genetic algorithm Index: UNIX distributed super-computing shared variables message passing client-server networks distributed shared memory Q'NIAL Dyalog APL RPC XDR TCP/IP daemon System V IPC shared memory distributed memory distributed shared memory LINDA deadlock race condition semaphore Abstract Recent market s...