Synthesis and physiological activity of new organophosphorus pesticides of 1,3,2-oxazaphosphorinane series

Methods for the synthesis of 2-aryloxy(arylthio)- and 2-alkoxy(alkylthio)-2-thio(oxo)-1,3,2-oxazaphosphorinanes and theirN-substituted derivatives based on the reactions of the corresponding dichlorophosphates, dichlorothio-, and dithiophosphates with 3-aminopropan-1-ol or its substituted derivatives in the presence of Et₃N or aqueous alkali under phase transfer catalysis conditions, as well as by the reaction of the tetramethylammonium salt of 2-hydroxy-2-thio-1,3,2-oxazaphosphorinane with alkyl- and acyl halides, by that of 2-chloro-2-thio-1,3,2-oxazaphosphorinane with sodium thiolates, and by other methods, were developed. The compounds obtained exhibit high nematocide activity but low toxicity for mammals. Some active synergists for permethrine were found among these compounds.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 11, pp. 2241–2249, November, 1995.This study was financially supported in part by the International Science Foundation (Grant Nos. NDO 000 and NDO 300) and by the Russian Foundation for Basic Research (Grant No. 93-03-0451). The authors are grateful for this support.     

Analytic theory of linear forms of independent random variables

It is shown that in some characterizations of the Gaussian distribution, through natural properties of linear forms of independent, possibly equidistributed random variables, instead of the -algebra generated by one of the forms one can restrict oneself to the finite-dimensional space of polynomials of this form. Thus, the corresponding characterization theorems are significantly refined.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 153, pp. 37–44, 1986.