Let Mg be the coarse moduli space of stable curves of genus g. Eisenbud, Harris and Mumford proved a relation between certain divisors on Mg (the Brill-Noether divisors, to be described below). Calculating their classes in PicMg⊗Q, they succeeded in proving that Mg is of general type for g > 23, g+1 composite. In subsequent work, the restriction that g + 1 be composite was removed. In this pape...

Herein, a beech wood dowel reinforced with self-tapping screw (composite in brief) is proposed. Composite dowels were welded into the predrilled holes by high speed rotation. Force-displacement curves obtained using single-shear and dual connection. A double-peaked pattern was found bearing process, indicating that wooden had synergistic effect process. Regarding failure mode, bent, whilst defa...

Pairings are typically implemented using ordinary pairingfriendly elliptic curves. The two input groups of the pairing function are groups of elliptic curve points, while the target group lies in the multiplicative group of a large finite field. At moderate levels of security, at least two of the three pairing groups are necessarily proper subgroups of a much larger composite-order group, which...

this in-vitro study sought to assess the push-out bond strength of a total etch and 2 self-etch bonding systems to intracanal dentin of primary anterior teeth (pat).thirty-six primary anterior teeth were randomly divided into 3 groups of 5(th) generation (single bond 2), 6(th) generation (clearfil se) and 7(th) generation (single bond universal) bonding agents. the canal orifice was restored wi...

The hot deformation behavior and processing characteristics of AZ91 alloy and nano-SiCp/AZ91 composite were compared at temperature ranges of 523 K-673 K and strain rates of 0.001-1 s-1. Positive impact of SiC nanoparticles on pinning grain boundaries and inhibiting grain growth was not obvious when deformation temperature was below 623 K, but was remarkable when the temperature was above 623 K...

We remark that the structure of bilinear groups of a large composite order (at least 1024 bits) could make group operation inefficient and lose the advantages of elliptic curve cryptography which gained mainly from smaller parameter size. As of 2013, the longest parameter recommended by NIST for elliptic curves has 571 bits. From the practical point of view, such an algebraic structure is unlik...

A method that combines process modelling and process integration techniques has been developed to tackle the design of complex integrated systems like fuel cell systems. This method uses the equations of the composite curves as constraints to model the ideal heat exchanger network and the corresponding utility system. When combined with the use of process modelling techniques, this method allow...