The relationship between posets that are cycle-free and graphs that have more than one end is considered. We show that any locally finite bipartite graph corresponding to a cycle-free partial order has more than one end, by showing a correspondence between the ends of the graph and those of the Hasse graph of its Dedekind–MacNeille completion. If, in addition, the cycle-free partial order is k-...

Most proteins are targeted to the peroxisomal matrix by virtue of a peroxisomal targeting signal-1 (PTS1), a short carboxy-terminal sequence specifically recognized by the PTS1 receptor Pex5p. We had previously developed a model that allowed the estimation of the affinities of many PTS1 sequences within the human proteome for Pex5p that revealed a wide range of predicted affinities. We have now...

54. The varieties of self-projective quartic and quintic curves have been tabulated for the general case by Ciani and Snyder respectively. Dr. Winger in his paper presents the protectively distinct types of the most general rational curves of these orders which are invariant under the different finite collineation groups. The quartics are readily obtained from the consideration of the Stahl bin...

We determine the mean number of 3-torsion elements in the class groups of quadratic orders, where the quadratic orders are ordered by their absolute discriminants. Moreover, for a quadratic order O we distinguish between the two groups: Cl3(O), the group of ideal classes of order 3; and I3(O), the group of ideals of order 3. We determine the mean values of both |Cl3(O)| and |I3(O)|, as O ranges...

Abstract Under the management pattern of enterprises group sales, how to assign all market orders reasonably and optimally within member enterprises is one of the important aspects that enterprises group has to study. On the basis of summary of the order allocation principles of enterprises group, a multi-objective optimization model is established to rationally allocate the order, maximize the...

Persons under certain domestic violence restraining orders are prohibited by federal law from purchasing and possessing a firearm. We used administrative data from California to link 794426 restraining orders with 1388724 handgun purchase applications. We found that restrained persons were not a less law-abiding group in general, but they appeared to be repeatedly or serially abusive to intimat...

Introduction. The fundamental invariant of a Riemann surface is its genus. In this paper, using arithmetical means, we calculate the genus of certain Riemann surfaces defined by unit groups in quaternion algebras. First we recall a well-known general construction of Riemann surfaces. The group SL2(R) acts on the upper half-plane H by Möbius transformations. If G is a Fuchsian group, that is, a ...

Hyperelliptic curves have been widely studied for cryptographic applications, and some special hyperelliptic curves are often considered to be used in practical cryptosystems. Computing Jacobian group orders is an important operation in constructing hyperelliptic curve cryptosystems, and the most common method used for the computation of Jacobian group orders is by computing the zeta functions ...