We examine the total cross section of virtual photons on protons, σγ∗p(W , Q), at low x ∼= Q/W 2 ≪ 1 and its connection with “elastic” diffractive production γ T,Lp → X T,L p in the two-gluon exchange dynamics for the virtual forward Compton scattering amplitude. Solely based on the generic structure of twogluon exchange, we establish that the cross section is described by the (imaginary part o...

God created the natural numbers. All the rest is the work of man. Abstract The paper considers the problem of finding the largest possible set P(n), a subset of the set N of the natural numbers, with the property that a number is in P(n) if and only if it is a sum of n distinct naturals all in P(n) or none in P(n). Here " largest " is in the set theoretic sense and n≥2. We call P(n) a maximal s...

Podosphaera is a genus of the powdery mildew fungi belonging to the tribe Cystotheceae of the Erysiphaceae. Among the host plants of Podosphaera, 86 % of hosts of the section Podosphaera and 57 % hosts of the subsection Sphaerotheca belong to the Rosaceae. In order to reconstruct the phylogeny of Podosphaera and to determine evolutionary relationships between Podosphaera and its host plants, we...

1. p. 1035, left column, 3rd paragraph, 2nd line 10 The citation should not be to Ref. [15], but to 11 Ref. [30]; see also point 9 of this errata list. 12 • p. 1036, left column, 2nd paragraph, 2nd line 13 The citation should not be to Refs. [2,16,28, 14 29], but to Refs. [2,16,28,29,31]; see also point 15 9 of this errata list. 16 2. p. 1040, Section 3.4.2.3, 9th line 17 The command “legion na...

We present the first measurement of the cross section and the double longitudinal spin asymmetry of inclusive π0 production in polarized p+p collisions at √ s = 200 GeV at mid-rapidity with the STAR detector, using the barrel electromagnetic calorimeter. The measured cross section is compared to NLO pQCD calculations and can provide constraints on the pion fragmentation functions. Fragmentation...

All the results in this work concern (finite) p-groups. Chapter 1 is concerned with classifications of some classes of p-groups of class 2 and there are no particularly new results in this chapter, which serves more as an introductory chapter. The “geometric” method we use for these classifications differs however from the standard approach, especially for p-groups of class 2 with cyclic center...