The validity of the Riemann Hypothesis (RH) on location non-trivial zeros $\zeta$-function is directly related to growth Mertens function $M(x) \,=\,\sum_{k=1}^x \mu(k)$, where $\mu(k)$ M\"{o}bius coefficient integer $k$: RH indeed true if goes asymptotically as \sim x^{1/2 + \epsilon}$, $\epsilon$ an arbitrary strictly positive quantity. This behavior can be established basis a new probabilist...

We show that a k k -stable set in finite group can be approximated, up to given error alttext="epsilon greater-than 0"> ϵ<!...

The molar absorption coefficient, epsilon, of a protein is usually based on concentrations measured by dry weight, nitrogen, or amino acid analysis. The studies reported here suggest that the Edelhoch method is the best method for measuring epsilon for a protein. (This method is described by Gill and von Hippel [1989, Anal Biochem 182:319-326] and is based on data from Edelhoch [1967, Biochemis...

The expression of Fc epsilon R on human lymphocytes was studied with the anti-Fc epsilon R mAbs. Fc epsilon R was expressed on most mu+,delta+ circulating B cells, whereas T cells did not express Fc epsilon R even in patients with hyper-IgE syndrome. B cells with gamma, alpha, or epsilon phenotype did not express Fc epsilon R, moreover its expression could not be induced, suggesting that the Fc...

Android-based devices like smartphones have become ideal mobile cyber-physical systems (MCPS) due to their powerful processors and variety of sensors. In recent years, an explosively and continuously growing number of malicious applications (malapps) have posed a great threat to Android-based MCPS as well as users' privacy. The effective detection of malapps is an emerging yet crucial task. How...

We study the field theories for pinned elastic systems at equilibrium and at depinning. Their beta functions differ to two loops by novel "anomalous" terms. At equilibrium we find a roughness zeta = 0.208 298 04 epsilon + 0.006 858 epsilon(2) (random bond), zeta = epsilon/3 (random field). At depinning we prove two-loop renormalizability and that random field attracts shorter range disorder. We...

To study the expression of globin genes in human cells, human epsilon-globin genes were transferred into a K562 cell line, Bos, which synthesizes very low amounts of epsilon-globin mRNA. A plasmid (pSV2neo-epsilon) containing a complete epsilon-globin gene and 2 kilobases (kb) of 5' flanking DNA as well as a neomycin-resistance gene and a simian virus 40 origin of replication was transfected in...

Abstract In this paper, we present new second-order methods with convergence rate $$O\left( k^{-4}\right) $$ O k - 4 , where k is the iteration counter. This faster than existing lower...