Krasimir Vasilev 1,2,*, Alex Cavallaro 2 and Peter Zilm 3 1 School of Engineering, University of South Australia, Adelaide, SA 5095, Australia 2 Future Industries Institute, University of South Australia, Adelaide, SA 5095, Australia; [email protected] 3 Adelaide Dental School, The University of Adelaide, Adelaide, SA 5005, Australia; [email protected] * Correspondenc...

The authors regret a spelling mistake in the surname of one of authors. The surname given as ‘Vasilev’ should be ‘Vasiliev’. Furthermore a second affiliation for the author A. D. Vasiliev was inadvertently omitted. The correct spelling and affiliations of all the authors for this paper is as shown above. The Royal Society of Chemistry apologises for these errors and any consequent inconvenience...

Nic Mullin, Cvetelin Vasilev, Jaimey D. Tucker, C. Neil Hunter, Christa H. M. Weber, and Jamie K. Hobbs Department of Physics and Astronomy, University of Sheffield, The Hicks Building, Hounsfield Road, Sheffield, South Yorkshire S3 7RH, United Kingdom Department of Molecular Biology and Biotechnology, University of Sheffield, Firth Court, Western Bank, Sheffield, South Yorkshire S10 2TN, Unite...

Chen's biharmonic conjecture is well-known and stays open: The only biharmonic submanifolds of Euclidean spaces are the minimal ones. In this paper, we consider an advanced version of the conjecture, replacing $Delta$ by its extension, $L_1$-operator ($L_1$-conjecture). The $L_1$-conjecture states that any $L_1$-biharmonic Euclidean hypersurface is 1-minimal. We prove that the $L_1$-conje...

It is well known that spherically symmetric reduction of General Relativity (SSG) leads to non-minimally coupled scalar matter. We generalize (and correct) recent results to Hawking radiation for a class of dilaton models which share with the Schwarzschild black hole nonminimal coupling of scalar fields and the basic global structure. An inherent ambiguity of such models (if they differ from SS...

let $e$ be an elliptic curve over $bbb{q}$ with the given weierstrass equation $ y^2=x^3+ax+b$. if $d$ is a squarefree integer, then let $e^{(d)}$ denote the $d$-quadratic twist of $e$ that is given by $e^{(d)}: y^2=x^3+ad^2x+bd^3$. let $e^{(d)}(bbb{q})$ be the group of $bbb{q}$-rational points of $e^{(d)}$. it is conjectured by j. silverman that there are infinitely many primes $p$ for which $...

In this paper, we give a new and direct proof for the recently proved conjecture raised in Soltani and Roozegar (2012). The conjecture can be proved in a few lines via the integral representation of the Gauss-hypergeometric function unlike the long proof in Roozegar and Soltani (2013).

we investigate the classical h.~zassenhaus conjecture‎ ‎for integral group rings of alternating groups $a_9$ and $a_{10}$ of degree‎ ‎$9$ and $10$‎, ‎respectively‎. ‎as a consequence of our‎ ‎previous results we confirm the prime graph‎ ‎conjecture for integral group rings of $a_n$ for all $n leq 10$‎.

This note introduces a new general conjecture correlating the dimensionality dT of an infinite lattice with N nodes to the asymptotic value of its Wiener Index W(N). In the limit of large N the general asymptotic behavior W(N)≈Ns is proposed, where the exponent s and dT are related by the conjectured formula s=2+1/dT allowing a new definition of dimensionality dW=(s-2)-1. Being related to the t...


 We introduce Epstein-Zin (1989, 1991) preferences into a real-business-cycle (RBC) model with government. calibrate the economy to Bulgarian data for period after currency board regime (1999-2018). evaluate quantitative importance of presence ”early resolution uncertainty” motive propagation cyclical fluctuations in Bulgaria. Allowing improves performance against data, and addition this ...