Results are reported from the HERMES experiment at HERA on a measurement of the neutron spin structure function ~ ( x , Q2) in deep inelastic scattering using 27.5 GeV longitudinally polarized positrons incident on a polarized 3He internal gas target. The data cover the kinematic range 0.023 < x < 0.6 and 1 (GeV/c) 2 < Q2 < 15 (GeV/c ) 2. The integral fo~i0623 ~ ( x ) dx evaluated at a fixed Qz...

For relatively hyperbolic groups, we investigate conditions under which the subgroup generated by two quasiconvex subgroups Q1 and Q2 is quasiconvex and isomorphic to Q1 ∗Q1∩Q2 Q2. Our results generalized known combination theorems for quasiconvex subgroups of word-hyperbolic groups. Some applications are presented. In addition, it is proved that the intersection of quasiconvex subgroups is qua...

We show that an x-tight set of the Hermitian polar spaces H(4, q2) and H(6, q2) respectively, is the union of x disjoint generators of the polar space provided that x is small compared to q. For H(4, q2) we need the bound x < q + 1 and we can show that this bound is sharp.

We introduce several recursive constructions for caps in projective spaces. These generalize the known constructions in an essential way and lead to new large caps in many cases. Among our results we mention the construction of {(q + 1)(q2 + 3)}−caps in PG(5, q), of {q4 + 2q2}-caps in PG(6, q) and of q2(q2 + 1)2-caps in PG(9, q).

For each odd prime power q, let 4 ≤ n ≤ q2 + 1. Hermitian self-orthogonal [n, 2, n − 1] codes over GF (q2) with dual distance three are constructed by using finite field theory. Hence, [[n,n − 4, 3]]q quantum MDS codes for 4 ≤ n ≤ q2 + 1 are obtained.

Theoretical description of the spin dependent structure function g1(x,Q) in the region of low values of x and Q2 is presented. It contains the Vector Meson Dominance contribution and the QCD improved parton model suitably extended to the low Q2 domain. Theoretical predictions are compared with the recent experimental data in the low x, low Q2 region.

a Department of Chemistry and Chemical Biology, Center for Biotechnology and Interdisciplinary Studies, Rensselaer Polytechnic Institute, Troy, Q2 NY 12180, USA b Department of Chemistry and Biological Engineering, Center for Biotechnology and Interdisciplinary Studies, Rensselaer Polytechnic Institute, Troy, Q2 NY 12180, USA c Department of Biology, Center for Biotechnology and Interdisciplina...

In this paper we discuss effective strong coupling constants. Those are well behaved in the low-Q2 domain, contrarily to αs from pQCD. We present an extraction of an effective strong coupling constant from Jefferson Lab polarized data at intermediate and low Q2. We also show how these data, together with spin sum rules, allow us to obtain the effective coupling constant over the entire Q2 range...

We present a new construction of non-classical unitals from a classical unital U in PG(2, q2). The resulting non-classical unitals are B–M unitals. The idea is to find a non-standard model Π of PG(2, q2) with the following three properties: (i) points of Π are those of PG(2, q2); (ii) lines of Π are certain lines and conics of PG(2, q2); (iii) the points in U form a non-classical B–M unital in ...

We show that for every fixed A > 0 and θ > 0 there is a θ = θ(A, θ) > 0 with the following property. Let n be odd and sufficiently large, and let Q1 = Q2 := n 1/2(log n)−θ and Q3 := (log n) θ. Then for all q3 ≤ Q3, all reduced residues a3 mod q3, almost all q2 ≤ Q2, all admissible residues a2 mod q2, almost all q1 ≤ Q1 and all admissible residues a1 mod q1, there exists a representation n = p1+...