Products of mixed covering arrays of strength two

A covering array CA(N;t,k, v is an N × k array such that every N × t subarray contains all t‐tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used to generate software test suites to cover all t‐sets of component interactions. The particular case when t = 2 (pairwise coverage) has been extensively studied, both to develop combinatorial constructions and to provide effective algorithmic search techniques. In this paper, a simple “cut‐and‐paste” construction is extended to covering arrays in which different columns (factors) admit different numbers of symbols (values); in the process an improved recursive construction for covering arrays with t = 2 is derived. © 2005 Wiley Periodicals, Inc. J Combin Designs 14: 124–138, 2006     

High-accuracy measurer of complex reflection coefficient of SHF transmission lines

We describe a new method of constructing a device for simultaneous measurement of the relative amplitude and phase difference of microwave signals, using complex phase manipulation of input signals. It is shown that systematic errors of measurement are significantly lower in the proposed amplitude and phase meter. Root-mean-square values are obtained for a system with nonideal elements. A block diagram of the device is presented and its principal characteristics are described. Institute of Radiophysics and Electronics, Armenian Academy of Sciences, Erevan. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 40, No. 9, pp. 1182–1188, September, 1997.     

Integral representations for some classes of functions holomorphic in a strip or in a half-plane

В данной работе рассм атриваются классы фу нкцийf(z), голоморфные в област иa (?∞<a<b≦+∞) приp≧1 иs≧0, и у довлетворяющие одному из следующих условий:

1. Еслиb≦+∞, то $$\int\limits_a^b {(\int\limits_{ - \infty }^{ + \infty } {\left| {f\left( {x + iy} \right)} \right|^p } dy)^s dx< + \infty .} $$
2. Еслиb=+∞, иa=0, то $$\int\limits_0^u {(\int\limits_{ - \infty }^{ + \infty } {\left| {f\left( {x + iy} \right)} \right|^p } dy)^s dx \leqq \varrho \left( u \right), u > 0,} $$ где?(u) — функция опред еленного роста.

Результаты работы су щественно обобщают т еорему Пэли—Винера о параме трическом представлений класс аH ₂ на полуплоскости.     

Methodology of using expert systems for structure elucidation of organic molecules by their spectra

Major axioms underlying structure elucidation of molecules by their characteristic spectral data are considered. The amount of information obtained by solving the problem on structure elucidation of molecules serves as a basis to evaluate the quality of solution. Conditions for computer-aided solution of problems using expert systems (ES) are analyzed. Reasons for incorrect or zero solutions and for inconsistencies leading to negative results are examined. The role of additional information as a necessary condition for correct solution is discussed. On the basis of this analysis, a general strategy for structure elucidation of molecules by their spectra using ES is suggested. The principal idea is to use the iteration method, gradually increasing the rigidity of constraints. Strategies named ARCHEOLOGIST and SCULPTOR are discussed. Examples are given. Russian Scientific Research Institute of Organic Synthesis. Translated fromZhurnal Strukturnoi Khimii, Vol. 36, No. 3, pp. 548–558, May–June, 1995. Translated by L. Smolina     

The structure of 4-anilinopiperidine analgesics. III. The structure of the acid sulfate of 1(e)-(2-phenethyl)-2(e), 5(e)-dimethyl-4(e)-(N-propylylanilino) piperidine

Institute of Fine Organic Chemistry, Academy of Sciences of the Armenian SSR. Translated from Zhurnal Strukturnoi Khimii, Vol. 31, No. 2, pp. 141–145, March–April, 1990.     

Isoquinoline derivatives

Condensation of p-alkoxybenzoyl chlorides with 1-phenyl-1-aminomethylcyclopentane affords the amides V. Subsequent cyclization and hydrogenation gives the corresponding tetrahydroisoquinoline derivatives VIII and secondary amines VI. The hydrochlorides of compounds VIII and VI possess moderate hypotensive activity, and also reduce by an average of 50% the spasms of segments of intestine, induced by barium chloride.     

Asymmetric synthesis of (R)-S-(1,2,4-triazol-3-yl)cysteines by nucleophilic addition of triazolethiols to a NiII complex with a chiral dehydroalanine Schiff base

An efficient method was developed for the asymmetric synthesis of (R)-S-(1,2,4-triazol-3-yl)cysteines by the addition of 3,4-disubstituted 1,2,4-triazole-5-thiols at the electrophilic C=C bond in a Ni^II complex of a Schiff base of dehydroalanine with (S)-N-(N-benzylprolyl)aminobenzophenone. The stereoselectivity of the formation of diastereomeric complexes with the (S,R) configuration under conditions of thermodynamic control of the nucleophilic addition exceeds 94%. Acid treatment of the reaction mixtures afforded enantiomerically pure (R)-S-hetarylcysteines (ee >98%).     

Structure of 4-anilinopiperidine analgesics. I. The structure of the 2:1 solvate of 1(e)-(2-phenethyl)-2(e),5(a)-dimethyl-4(e)-(N-propionylanilino)-piperidine bisulfate monohydrate with cyclohexanone

An x-ray diffraction structural analysis was carried out using Cu radiation with 2975 reflections, 64° to R=0.073 for the bisulfate of the major component of the narcotic analgesic, phenaridine (1-(2-phenethyl)2,5-dimethyl-4-(N-propionylanilino)-piperidine citrate). The crystals studied obtained from cyclohexanone are a double solvate containing 1/2 randomly disordered cyclohexanone molecule and one water molecule per formal salt unit. The unit cell parameters for the monoclinic crystals are as follows: a=15.231(2), b=14.946(2), c=13.070(2) Å, -104.23(1)°, space group P2₁/c, Z=4. The methyl groups in the compound studied occupy the 2-equatorial and 5-axial positions relative to the piperidine ring. Taking account of the equatorial positions of the substitutents at the 1- and 4-positions of the piperidine ring, the compound designated should be designated the rel-(1R,2R,4S,5R) isomer. The cation has an extended conformation with ordinary geometric parameters. The relative arrangement of the pharmacophoric groups in the cation (benzene rings A and F, piperidine ring D, and the amide fragment) is similar to that for the groups in T-shaped morphine-like molecules.Institute of Fine Organic Chemistry, Academy of Sciences of the Armenian SSR. Translated from Zhurnal Strukturnoi Khimii, Vol. 30, No. 5, pp. 102–107, September–October, 1989.