Abstract:
We present VUV observations of transitions between doubly excited sextet states in O3+, F4+ and Ne5+. Spectra were produced by collisions of an oxygen, uorine and neon beam with a nitrogen gas jet target. Prepared beam-gas experiment yields new and explicit information on doubly core-excited ions. Some observed lines were assigned to the 1s2s2p3 6S-1s2p33s, 3d 6P electric-dipole transitions in O3+, F4+ and Ne5+. Three lines have been reassigned. Present data are the first explicit measurements on transitions between sextet states in boronlike ions by beam-gas spectroscopy.

Abstract:
Estimates of variability and presence of genetic interaction of protein and micronutrient (Iron, Copper, manganese, Zinc) characters were analyzed in segregating generations derived from a cross between BPTxHPR 14 of rice. Total Grain Protein Content (GPC) showed high heritability coupled with a moderate genetic advance in both generations. From F4 to F5, heritability estimates showed consistency indicating fixation of loci controlling protein content. According to estimated coefficients of skewness and Kurtosis indicated the presence of duplicate gene interactions in the expression of total grain protein content, copper and iron content whereas complementary gene interaction appears to be absent in the expression of zinc and manganese content. The results indicate the mild selection can be employed for traits like protein content, copper and iron content in segregating generation. The method of using skewness and kurtosis for detecting additive epistasis is very simple and can be used for crop improvement.

Abstract:
Sanger and shotgun sequencing of Clostridium botulinum strain Af84 type Af and its botulinum neurotoxin gene (bont) clusters identified the presence of three bont gene clusters rather than the expected two. The three toxin gene clusters consisted of bont subtypes A2, F4 and F5. The bont/A2 and bont/F4 gene clusters were located within the chromosome (the latter in a novel location), while the bont/F5 toxin gene cluster was located within a large 246 kb plasmid. These findings are the first identification of a C. botulinum strain that contains three botulinum neurotoxin gene clusters.

Abstract:
In this paper we present a construction of the compact form of the exceptional Lie group F4 by exponentiating the corresponding Lie algebra f4. We realize F4 as the automorphisms group of the exceptional Jordan algebra, whose elements are 3 x 3 hermitian matrices with octonionic entries. We use a parametrization which generalizes the Euler angles for SU(2) and is based on the fibration of F4 via a Spin(9) subgroup as a fiber. This technique allows us to determine an explicit expression for the Haar invariant measure on the F4 group manifold. Apart from shedding light on the structure of F4 and its coset manifold OP2=F4/Spin(9), the octonionic projective plane, these results are a prerequisite for the study of E6, of which F4 is a (maximal) subgroup.

Abstract:
We use first-principles models to demonstrate how an organic oxidizing agent, F4 -TCNQ (7,7,8,8- tetracyano-2,3,5,6-tetrafluoroquinodimethane), modifies the electronic structure of silicon nanocrys- tals, suggesting it may enhance p-type carrier density and mobility. The proximity of the lowest unoccupied level of F4 -TCNQ to the highest occupied level of the Si-nanocrystals promotes the formation of an empty hybrid state overlapping both nanocrystal and molecule, reducing the exci- tation energy to about 0.8-1 eV in vacuum. Hence, it is suggested that F4 -TCNQ can serve both as a surface oxidant and a mediator for hole hopping between adjacent nanocrystals.

Abstract:
We present an algebra related to the Coxeter group of type F4 which can be viewed as the Brauer algebra of type F4 and is obtained as a subalgebra of the Brauer algebra of type E6. We also describe some properties of this algebra.

Abstract:
In a previous work regarding the interaction of two $\rho(770)$ resonances, the $f_2(1270)$ ($J^{PC}=2^{++}$) resonance was obtained dynamically as a two-$\rho$ molecule with a very strong binding energy, 135~MeV per $\rho$ particle. In the present work we use the $\rho\rho$ interaction in spin 2 and isospin 0 channel to show that the resonances $\rho_3(1690)$ ($3^{--}$), $f_4(2050)$ ($4^{++}$), $\rho_5(2350)$ ($5^{--}$) and $f_6(2510)$ ($6^{++}$) are basically molecules of increasing number of $\rho(770)$ particles. We use the fixed center approximation of the Faddeev equations to write the multi-body interaction in terms of the two-body scattering amplitudes. We find the masses of the states very close to the experimental values and we get an increasing value of the binding energy per $\rho$ as the number of $\rho$ mesons is increased.

Abstract:
This short note is the generalization of Faugere F4-algorithm for polynomial rings with coefficients in Euclidean rings. This algorithm computes successively a Groebner basis replacing the reduction of one single s-polynomial in Buchberger's algorithm by the simultaneous reduction of several polynomials.

Abstract:
Moufang sets were introduced by Jacques Tits in order to understand isotropic linear algebraic groups of relative rank one, but the notion is more general. We describe a new class of Moufang sets, arising from so-called mixed groups of type F4 in characteristic 2, obtained as the fixed point set under a suitable involution.