Transformations of peroxide ozonolysis products of terminal olefins treated with tosylhydrazide

Russian Journal of Organic Chemistry -     

Synthesis,X-ray and DFT Studies of 6-halo-3-(hydroxymethyl)cinnolin-4(1H)-ones

Chemistry of Heterocyclic Compounds - The Richter cyclization was used for the synthesis of 6-halo-3-(hydroxymethyl)cinnolin-4(1H)-ones. X-ray analysis revealed that these compounds exist as dimers...     

Spectral gaps in the dirichlet and neumann problems on the plane perforated by a doubleperiodic family of circular holes

We show that the spectrum of the Dirichlet and Neumann problems for the Laplace operator in the plane perforated by a double–periodic family of circular holes contains gaps (even any a priori given number of gaps) of certain radii of holes. The result is obtained by asymptotic analysis of the cell spectral problem, interpreted as a problem in a domain with thin bridges. Some open questions are stated.     

Tuning the morphology and magnetic properties of single-domain SrFe8Al4O19 particles prepared by a citrate auto-combustion method

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An extreme values of the function <Emphasis Type="Italic">S</Emphasis>(<Emphasis Type="Italic">T</Emphasis>) in short intervals

We obtain new estimates for the maximum and minimum of the argument of the Riemann zetafunction on very short segments of the critical line. These results are based on the Riemann hypothesis.     

Acoustic waves in media with hysteretic nonlinearity and linear dispersion

A hysteresis equation of state is proposed for polycrystalline solids with saturation of nonlinear losses. Effects of amplitude-dependent internal friction and higher harmonic generation that result from propagation of harmonic acoustic waves in rods made of such materials are theoretically and numerically studied.