The volume of the polar body of a symmetric convex set K of Rd is investigated. It is shown that its reciprocal is a convex function of the time t along movements, in which every point of K moves with constant speed parallel to a fixed direction. This result is applied to find reverse forms of the Lp-Blaschke-Santaló inequality for two-dimensional convex sets.

The aim of this study was to analyse polar lipids of Candida species isolated from Ahwaz (Iran) by Fast Atom Bombardment Mass Spectrometry (FAB MS). Nine isolates of Candida Sp. were identified by growth at 45°C, production of chlamydoconidia on cornmeal agar, colonial colour on CHROMagar Candida, germ tube production and ID 32C kits. Then polar lipids were extracted from freeze-dried cult...

In this study, B12N12 Nano ring has been selected because it consist of four 6-side rings and polar bonds B-N which in comparison with non-polar bonds C-C, is more suitable for the study of the absorption of other compounds. So reactivity and stability of Benzene alone and in the presence B12N12 nano ring field checked. To determine the non-bonded interaction energies between Benzene and B12N12...

We prove that if V ⊆ V[h] is a generic extension by Prikry forcing then every transitive intermediate model M of ZFC , where V $ M ⊆ V[h] , is again a Prikry generic extension of V . Moreover the family of intermediate models is parametrised by P(ω)/finite. The result is proved by studying V-constructibility degrees of sets in V[h] using parameters in V .

Evans (1992) defines a notion of what it means for a set B to be polar for a process indexed by a tree. The main result herein is that a tree picked from a Galton-Watson measure whose offspring distribution has mean m and finite variance will almost surely have precisely the same polar sets as a deterministic tree of the same growth rate. This implies that deterministic and nondeterministic tre...

We thank all of the discussants for their valuable insights and elaborations. In particular, we thank Prof. Clarke and Dr. Severinski for their conjectured extension to Theorem 3, the product of many personal discussions both in Austin and in Spain (and probably many more hours of work in Miami). The conjecture seems quite likely to be true, and strikes us as a nice way of understanding adaptiv...

—In this letter, we propose parallel SC (Successive Cancellation) decoder and parallel SC-List decoder for polar codes. The parallel decoder is composed of) 1 (2   m M m component decoders working in parallel and each component decoder decodes a Polar code of a block size of M / 1 of the original Polar code. Therefore the parallel decoder has M times faster decoding speed. Our simulation resu...

The muscles of mastication of the polar bear (Ursus maritimus) and those of the brown bear (U. arctos) were examined by anatomical approach. In addition, the examination of the skull was carried out in the polar bear, brown bear and giant panda (Ailuropoda melanoleuca). In the polar bear, the rostro-ventral part of the superficial layer of the M. masseter possessed the abundant fleshy portion f...