Electrodynamic Analysis and Synthesis of an Elliptic Filter Based on Complex Resonant Irises in a Rectangular Waveguide

Radiophysics and Quantum Electronics - We have synthesized elliptic bandpass waveguide filters. The resonators of the filter are thin plane-transverse resonant irises with an aperture in the form...     

Monotonicity principle in the rayleigh problem for an isothermally incompressible fluid

The convection of an isothermally incompressible fluid in a horizontal layer with free undeformable boundaries kept at a constant temperature is considered. Under the fairly common assumptions of the temperature dependence of the specific volume, it is shown that the monotonicity principle holds and that the spectrum of critical Rayleigh numbers is countable and prime. Models with linear and quadratic temperature dependences of the specific volume are given as examples. The results on the spectrum of the critical Rayleigh numbers are also valid for some other boundary conditions. __________ Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 48, No. 5, pp. 35–42, September–October, 2007.     

Use of low volatility mobile phases in electroosmotic thin-layer chromatography

A variant of electroosmotic thin-layer chromatography is suggested with the use of low volatility compounds as mobile phases aimed at drastically decreasing the evaporation of the mobile phase and improving the reproducibility of the method. The linear movement velocity of zones of separated compounds is experimentally shown to increase 2-12-fold in electroosmotic chromatography (compared to similar values in traditional TLC). The separation efficiency is also considerably increased.     

On the number of real critical points of logarithmic derivatives and the Hawaii conjecture

For a given real entire function φ in the class U _2n ^*, n ≥ 0, with finitely many nonreal zeroes, we establish a connection between the number of real zeroes of the functions Q[φ] = (φ′/φ)′ and Q ₁[φ] = (φ″/φ′)′. This connection leads to a proof of the Hawaii Conjecture (T. Craven, G. Csordas, and W. Smith [5]), which states that if φ is a real polynomial, then the number of real zeroes of Q[φ] does not exceed the number of nonreal zeroes of φ.     

Szegő’s theorem for matrix orthogonal polynomials

We extend some classical theorems in the theory of orthogonal polynomials on the unit circle to the matrix case. In particular, we prove a matrix analogue of Szeg?’s theorem. As a by-product, we also obtain an elementary proof of the distance formula by Helson and Lowdenslager.     

Complexes of DNA with interferon-inducing fluroene and fluorenone derivatives

Information is given on the influence of fluorene and fluorenone derivatives on the melting point of thymus DNA and their interferon-inducing activity. The substances investigated form complexes predominantly with the AT pairs of DNA. A comparative electro-phoretic study of complexes of the substances investigated and of ethidium bromide has shown that the fluorene and fluorenone derivatives do not intercalate into the DNA double helix. The change in the melting point of DNA correlates with the chemical structure of the compounds investigated and depends on the volume of the substituent on the nitrogen atom of the side chain.V. I. Lenin Tashkent State University. Translated from Khimiya Prirodnykh Soedinenii, No. 3, pp. 404–409, May–June, 1988.     

Direct and inverse spectral problems for a class of non-self-adjoint periodic tridiagonal matrices

The spectral properties of a class of tridiagonal matrices are investigated. The reconstruction of matrices of this special class from given spectral data is also studied. Necessary and sufficient conditions for that reconstruction are found. The obtained results extend some results on the direct and inverse spectral problems for periodic Jacobi matrices and for some non-self-adjoint tridiagonal matrices.     

An investigation of complexes of some model tripeptides containing phenylalanine and tyrosine residues with DNA by Fourier1H NMR spectroscopy

Complexes of native and denatured DNA with model tripeptides containing phenylalanine or tyrosine residues flanked by lysine or arginine residues, respectively have been investigated by pulsed Fourier¹H NMR spectroscopy. The existence of shifts into the strong-field region of the signals of aromatic protons of the model tripeptides in the complexes both with native and with denatured DNA has been shown. Results have been obtained that indicate the possibility of the intercalation of the side chains of aromatic amino acid residues into the DNA double helix.All-Union Scientific-Research Institute of the Genetics and Breeding of Industrial Microorganisms, Moscow. Translated from Khimiya Prirodnykh Soedinenii, No. 6, pp. 751–755, November–December, 1986.