二阶Volterra系统对平稳正态激励的统计响应的表示定理的数学证明

1974年,Neal根据Kac和Siegert的思想,给出了一个在电子工程、海洋工程、建筑工程、航空工程、自动控制的随机振动中有重要应用的二阶Volterra非线性系统对平稳正态输入的统计响应的表示定理.1984年,Naess对此定理又给出了一个数学证明.经过研究后发现,他们对定理条件的叙述都是模糊的,而且其数学证明都是有问题的.本文重新讨论了这个表示定理,给出了明确的定理条件及严格的数学证明,为它的广泛应用奠定了理论基础.     

Operator algebras and lattices of invariant subspaces. II

For a bounded linear operator T the following questions are considered: the commutativity of the commutant {T}, the possibility of approximation in the weak operator topology of the operators from the bicommutant {T} , reflexivity, the equality of other operator algebras and lattices of subspaces connected with the operator T. Answers to this questions are given for operators from certain classes (C₀-contractions, weak contractions, contractions with finite defect indices, etc.).Translated from Zapiski Nauchnykh Seminarov I eningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 190, pp. 110–147, 1991.     

A study of fast neutron production in p20Ne and pp interactions at 300 GeV/c

Data on the multiplicity, momentum and angular spectra of fastp _n1 GeV/c) neutrons produced in inelastic interactions of protons with neon nuclei and protons at 300 GeV/c are presented. The experimental results obtained for p²⁰Ne interactions are compared with predictions of the additive quark model in which the intranuclear cascading of slow particles is taken into account.We thank V. G. Grishin and R. J. Loveless for valuable discussions.     

Reaction of 2-Chloropyridine-3,4-dicarbonitrile with Anilines. Synthesis of 2-(Arylamino)pyridine-3,4-dicarbonitriles

Russian Journal of Organic Chemistry - The reaction of 2-chloropyridine-3,4-dicarbonitrile with anilines in propan-2-ol in the presence of N,N- diisopropylethylamine (DIPEA) in a sealed vial at...     

Synthesis,Intramolecular Cyclization,and Antinociceptive Activity of Substituted 2-[2-(4-Nitrobenzoyl)hydrazinylidene]-4-oxobut-2-enoic Acids

Russian Journal of Organic Chemistry - New substituted 2-[2-(4-nitrobenzoyl)hydrazinylidene]-4-oxobut-2-enoic acids have been synthe­sized by condensation of 4-nitrobenzohydrazide with...     

Synthesis of 3-R-Sulfanyl-5-amino-1-phenyl-1H-pyrazole-4-Carbonitriles

Russian Journal of Organic Chemistry - Previously unknown 3-R-sulfanyl-5-amino-1-phenyl-1H-pyrazole-4-carbonitriles were synthesized by reactions of 2-[bis(alkylsulfanyl)methylidene]malononitriles...     

Joint effect of parameters of hydrochemical nepheline processing on alumina

A scheme of nepheline processing by a hydrochemical method was technically justified. In this process, silica is transformed into calcium hydrosilicate under autoclave conditions at a low concentration of caustic alkali. This allows the process at high heat regeneration and low steam flow for evaporation of a solution. A joint effect of temperature, leaching time, and concentration of caustic alkali solution was examined on an alumina recovery. Experiments were designed using a combined rotatable design of a second order.     

Combined Processes of Polymerization and Drying of Prepolymer Grains in Double-Section Apparatus with Fluidized Bed

The possibility of combining polymerization and drying in obtaining polymers from derivatives of methacrylic acid was revealed experimentally. A mathematical model of combined polymerization and solvent removal under conditions of a fluidized bed of the material was developed.