A Reuniformization for Contractive Mappings in Uniform Spaces

Let X be a complete uniform HAUSDORFF space with a uniformity generated by a saturated family of pseudometrics ?? = {?_α(x, y): α ? A} and let T: X → X be a continuous mapping. The paper contains necessary and sufficient conditions for the existence of a new family of pseudometrics ??*={?*(x, y): α*?A*} generated the same topology such that T is contractive with respect to ??*.     

A Preparative Method for Crosslinking Proteins to DNA in Nuclei by Single-pulse UV Laser Irradiation

Abstract— Photocrosslinking of proteins to DNA by single-pulse UV laser has been used only in analytical experiments, carried out with reconstituted complexes of a single DNA binding protein and a labeled target sequence. Here we propose a large-scale technique for irradiation of nuclei, generating preparative quantities of covalently linked protein-DNA complexes for further analysis of the partner molecules. The use of a flow cuvette allows a milligram of DNA in either nuclei or chromatin to be irradiated by a single pulse within few minutes. The efficiency of crosslinking varies from 6 to 12% of the total nuclear proteins. The presence of histones and other chromosomal proteins in the crosslinked protein-DNA complexes was demonstrated by using specific antibodies. The irradiation procedure can be fully automated using a microcomputer.     

Formation of free radicals in water under high-power laser uv irradiation

It has been shown that under high-power laser UV irradiation (I = 10⁸–10¹⁰ W/cm², λ = 266 nm, τ_p = 30 ps) water becomes ionized by a two-photon mechanism to form some free radicals including the hydrated electron e^?_aq.     

Observed difference between the probabilities of recoilless resonance absorptionf′ and reemissionf″ of gamma-quanta in single crystals of Na2[Fe(CN)5NO]·2 H2O

The recoilless absorption probability factor,f, and recoilless reemission,f, both measured on Na₂[Fe(CN)₅NO]·2 H₂O single crystals using the black filter technique, were found to be different. Unexpectedly, the results found weref>f. In the calculation off, selfabsorption in the scatterer, non-ideality of the black filter and the influence of non-resonant scattering processes have all been taken into account. By varying the scattering geometry for the incoming and outgoing -beam relative to the crystallographic axes only a change in the reemitted valuesf _a, f_b, f_c could be detected because of the long lifetime of the excited nucleus (10^–7 s) relative to the lattice vibration frequencies (10¹² Hz).     

Solvability of a quasi-steady rolling problem for porous materials

A quasi-steady rolling problem with nonlocal friction, for porous rigid-plastic, strain-rate-sensitive and strain hardening materials, is considered. A variational formulation is derived, consisting of a variational inequality and two evolution equations, coupling the velocity, strain hardening and relative density variables. The convergence of a variable stiffness parameters method is proved, and existence and uniqueness results are obtained. An algorithm, combining this method with the finite element method, is proposed and used for solving an illustrative rolling problem.     

Structure of zirconium dioxide based porous glasses

This study is devoted to investigation of the micro- and mesostructure (including fractal properties) of porous zirconia glasses synthesized by precipitation from zirconium n-propoxide solutions in the presence of different hydrolyzing-agent (H₂O) quantities at different temperatures. Analysis of small-angle neutron, ultra-small-angle neutron and X-ray scattering, scanning electron microscopy allows concluding that the synthesized glasses are complex systems with a three-level hierarchical fractal structure. It is revealed that both the temperature of synthesis and the H₂O concentration in the initial solution significantly affect the structural characteristics of the glasses.     

2,5-Dihydro-L,2-Oxaphospholic Derivatives from 1,2-& Kadienephosphonates and Pseudohalogenes

Abstract

Interaction between some 1,2-alkadienephosphonic derivatives and dimethyl(diisopropyl)phosphonic sulfenyl chlorides in weak polar media was investigated. We established that in all cases the oxaphospholic cyclization of 1,2-alkadienephosphonic system took place, and 4-thiodi-alkoxyphosphonyl-2,5-dihydro-l,2-oxaphospholic derivatives were obtained.     

2,5-Dihydro-1,2-oxaphosphole Derivatives in the Reaction of 3,3-Disubstituted Allenylphosphonic Amidoesters with Electrophilic Reagents

Abstract

The reaction of 3,3-disubstituted allenylphosphonic amidoesters with halogenes, sulfenyl and selenenylchlorides proceeds with five-membered heterocyclization and formation of 2-N,N-dialkylamino-2,5-dihydro-1,2-oxaphosphole 2-oxides:     

Oxidative-Rearrangement Reactions of σ3, λ3 Dialkyl(Silylamino)Phosphines with Chlorophosphines; Formation of a P–P Bond Via a New Road to Phosphinophosphoranimines

Abstract:

Chlorophosphines react with trivalent (silylamino)phosphines via a direct oxidative addition process with elimination of trimethyl silyl chloride to produce phosphino-phosphoranimines with concomitant formation of a P-P bond. Oxidation of the phosphine center with sulfur and an exchange transformation of the phosphine are discussed.