On the Dimension of the Set of Two-View Multi-Homography Matrices

It is shown that the set of all multi-homography matrices describing I-element families of interdependent homographies between two views has dimension 4I + 7.     

Synthesis and structural characterization of novel 2-benzimidazolylthioureas: adducts of natural isothiocyanates and 2-amino-1-methylbenzimidazole

Adducts of natural allyl, phenethyl, and benzyl isothiocyanates and 2-amino-1-methylbenzimidazole were synthesized. After optimization of the reaction conditions, the target 2-benzimidazolylthioureas were obtained in reasonable yields. The detailed molecular and crystal structures of these compounds were characterized by spectroscopic and X-ray methods. Spectral analysis demonstrated that N-(1-methylbenzimidazolyl)-N′-allylthiourea, N-(1-methylbenzimidazolyl)-N′-benzylthiourea, and N-(1-methylbenzimidazolyl)-N′-phenethylthiourea exist in solution in an unprecedented three tautomeric forms, whose structures were corroborated unambiguously.     

Repulsion integral parametrization of the SCF LCAO MO CI method for nitrogen heteroaromates

Parametrization of Coulomb repulsion integrals for a number of nitrogen heteroaromates has been studied within the P-P-P method. The calculation was performed for the Mataga-Nishimoto and Ohno approximation as well as for the weighted mean from the two approximations. The latter approach gives good agreement with experimental data for both the first singlet and triplet excited state, particularly in the case of one ring molecules.     

Two-photon annihilation rate of the positronic HCN molecule

Positron binding by the HCN molecule was studied within a modified adiabatic approximation. This approach, in which the positron is treated as a light pseudonucleus with fractional charge, leads to the binding energy of 0.65?mHartree. Using effective positron mass which reproduces the Quantum Monte Carlo binding energy gives an estimation of the two-photon annihilation rate of e ⁺HCN, equal to 0.091?ns^?1.     

Early evolution of transversally thermalized partons

The idea that the parton system created in relativistic heavy-ion collisions (i) emerges in a state with transverse momenta close to thermodynamic equilibrium and (ii) its evolution at early times is dominated by the 2-dimensional (transverse) hydrodynamics of the ideal fluid is investigated. It is argued that this mechanism may help to solve the problem of early equilibration.     

On the reaction of bis(phosphothioyl)disul‐fanes with hydroxamic acids,part I: Ionic versus radical reaction pathways

Among sodium N‐alkyl‐4‐chlorobenzo‐hydroxamates treated with bis(phosphothioyl)disul‐fanes >P(S)SSP(S)< (where >P(S) is phosphorothioyl, phosphonothioyl, and phosphinothioyl), only the N‐methyl one yields quantitatively the respective O‐phosphothioyl derivatives exhibiting complete inversion of configuration at phosphorus in a reaction whose products are inert toward dithiophosphate arising in the reaction. For branched N‐alkyl benzohydroxamates, products of a SET process predominated. The mechanism of the title reaction is discussed. © 2008 Wiley Periodicals, Inc. Heteroatom Chem 19:271–282, 2008; Published online in Wiley InterScience ( www.interscience.wiley.com ). DOI 10.1002/hc.20423     

Eigenvalues of almost periodic Schrödinger operators in L 2(bℝ) are at most double

We prove that every eigenvalue of a Schrödinger operator with an almost periodic potential acting in the space of all square Haar-integrable functions on the Bohr compactification of has multiplicity not greater than 2.