The spring season was the target for Nansen Legacy cruise organized in late April and first half of May 2021 following transect defined this series cruises to capture variations year sampling physical, biological chemical conditions ice sea. went through both open water ice. Seven process stations were visited (P1 P7) together with smaller NLEG according program seasonal investigations. station...

We characterize the finite Veronesean Hn ⊆ PG(n(n + 2), q) of all Hermitian varieties of PG(n, q2) as the unique representation of PG(n, q2) in PG(d, q), d≥n(n+2), where points and lines of PG(n, q2) are represented by points and ovoids of solids, respectively, of PG(d, q), with the only condition that the point set of PG(d, q) corresponding to the point set of PG(n, q2) generates PG(d, q). Usi...

We investigate the unpolarized virtual photon structure functions F 2 x;Q2; P2 and F L x;Q2; P2 in perturbative QCD for the kinematical region 2 P2 Q2, where Q2 ( P2) is the mass squared of the probe (target) photon and is the QCD scale parameter. Using the framework of the operator product expansion supplemented by the renormalization group method, we derive the definite predictions for the mo...

We perform a perturbative QCD analysis of the nucleon's Pauli form factor F2(Q2) in the asymptotically large Q2 limit. We find that the leading contribution to F2(Q2) has a 1/Q6 power behavior, consistent with the well-known result in the literature. Its coefficient depends on the leading- and subleading-twist light-cone wave functions of the nucleon, the latter describing the quarks with one u...

The sequence spaces ?p(?q2)(0?p<?) and ??(?q2) are introduced by using the q-difference operator ?q2 of second order. Apart from studying some basic properties these spaces, we construct basis obtain ?-, ?- ?-duals spaces. Besides matrix classes involving ?p(?q2) characterized. final section is devoted to classifying spectrum over space ?1 absolutely summable sequences.

It is easy to see that there is at most one pair of polynomials (q(x), r(x)) satisfying (1); for if (q1(x), r1(x)) and (q2(x), r2(x)) both satisfy the relation with respect to the same polynomial u(x) and v(x), then q1(x)v(x)+r1(x) = q2(x)v(x)+r2(x), so (q1(x)− q2(x))v(x) = r2(x)−r1(x). Now if q1(x)− q2(x) is nonzero, we have deg((q1 − q2) · v) = deg(q1 − q2)+deg(v) ≥ deg(v) > deg(r2 − r1), a c...

A connection between commuting Hermitian varieties of PG(5, q2) and the flag geometry of PG(2, q2), q odd, is showed. In particular, we use this connection to provide a full embedding of this flag geometry in the Hermitian variety H(8, q2) of PG(8, q2). Mathematics Subject Classification (2002): 51E15, 05B25, 20G40.