Problems of Nonconvex Quadratic Programming Related to the Optimization of Phased Antenna Arrays

Journal of Applied and Industrial Mathematics - We consider the optimization of the short wave phased antenna arrays as a quadratic programming problem. The penalty function method and the gradient...     

Aspects of a method of investigating the distributed load on oscillating wings

The paper discusses the method and technique of an experiment and also some results of the investigation of the unsteady pressure on the surface of a rectangular wing executing oscillations with angular amplitude * = 3° at Strouhal numbers p* = 0.113 (p* = /v, where * is the angular frequency, b is the chord of the wing, and v is the velocity of the oncoming flow).Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 178–181, September–October, 1981.     

Main stages of unusual allyl coupling involving nickel bis-η3-allyl complexes in the presence of dichlorobutenes

The reactions of nickel bis-η³-allyl complexes with dichlorobutenes were studied. The overall process includes several stages, each characterized by substantially different reactions: traditional allyl coupling, substrate insertion between recombining allyl ligands, and the trimerization of allyl fragments accompanied by hydride transfer (unusual allyl coupling). Unusual allyl coupling occurs at a final stage preceded by the formation of oligomeric nickel intermediates with the mean composition Ni₄(C₃H₅)₆(C₄H₆)₃Cl₇. Their decomposition gives nonadiene and nonatriene isomers and propene. Trace amounts of molecular hydrogen were found indicating the formation of nickel hydride complexes at the final stage. Nickel bis-η³-allyl complexes react similarly with different dichlorobutenes.