The problem of capital shortage for Ukrainian commercial organizations has been clarified, which makes the theoretical and methodological provisions its increase preservation relevant. Insufficient investment processes is a significant obstacle to development most business entities in Ukraine. analysis recent research publications on topic work showed that issues tools estimating point zero dep...

Electron-phonon physics has become an integral part of today's materials science world. In this work, the authors present $a\phantom{\rule{0}{0ex}}b$ $i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$ results for zero-point renormalization band gap various semiconductors and insulators. They use a new implementation VASP c...

The action for a relativistic free particle of mass m receives a contribution 2mds from a path of infinitesimal length ds. Using this action in a path integral, one can obtain the Feynman propagator for a spinless particle of mass m. Assuming that the path integral amplitude is invariant under the “duality” transformation ds ! LPyds, one can calculate the modified Feynman propagator. I show tha...

We s(ate the following conjecture and prove it for the case where q is a proper prime power: Let A be a nonsingular n by n matrix over the finite fieM GF~, q~-4, then there exists a vector x in (GFa) ~ such that both x and ~4x have no zero component. In this note we consider-the following conjecture: Conjecture 1. Let A be a nonsingular n by n matrix over the finite field GFa, q~_4, then there ...

1. Halperin B IPhys. Rev. B 25 2185 (1982);MacDonaldAH, Streda P Phys. Rev. B 29 1616 (1984); Jain J K, Kivelson S A Phys. Rev. 37 4276 (1988); Beenakker C W J Phys. Rev. Lett. 64 216 (1990) 2. Wen X-G Int. J. Mod. Phys. B 6 1711 (1992); Phys. Rev. Lett. 64 2206 (1990); Phys. Rev. B 43 11025 (1991) 3. Kane C L, Fisher M P A, Polchinski J Phys. Rev. Lett. 72 4129 (1994); Kane C L, Fisher M P A P...

Section I of this paper traces the history of redshift research and its associated problems, including the quantized measurements. The breakdown in the redshift/distance relationship at high redshifts and the problem of “missing mass” or “dark matter” is discussed. Narliker and Arp’s model of a static, slightly oscillating, cosmos is also noted. Section II examines a possible resolution of thes...

An exploration is made of the stochastic electrodynamic (SED) interpretation of mass and gravity. On this approach, gravity has been shown to originate in the attractive secondary electromagnetic fields emitted by charged point particles jostled by the impacting waves of the Zero Point Energy (ZPE). This exploration finds that the four major predictions of General Relativity can be readily repr...

We construct 3-round proofs and arguments with negligible soundness error satisfying two relaxed notions of zero-knowledge (ZK): weak ZK and witness hiding (WH). At the heart of our constructions lie new techniques based on point obfuscation with auxiliary input (AIPO). It is known that such protocols cannot be proven secure using blackbox reductions (or simulation). Our constructions circumven...