6, 6-Diisopropyl-3, 3-bitropolonyl and Some Heterocyclic Compounds Derived from It

SYNTHESIS AND PHARMACOLOGICAL EVALUATION OF 6-CARBETHOXY-5-(3'-BROMOPHENYL)-3-ARYL-2-CYCLOHEXENONES AND 6-ARYL-4-(3'-BROMOPHENYL)-3-OXO-2,3A,4,5-TETRAHYDRO-2H-INDAZOLES

6-Carbethoxy-5-(3'-bromophenyl)-3-aryl-2-cyclohexenones 2a-j were obtained from the1-Aryl-3-(3'-bromophenyl)-2-propene-1-ones 1a-j by Micheal addition of ethyl acetoacetate, followed by internal Claisen condensation. Reaction of 2a-j with hydrazine hydrate afforded the corresponding 6-Aryl-4-(3'-bromophenyl)-3-oxo-2,3a,4,5-tetrahydro-2H-indazoles 3a-j. The structures of newly synthesized compou...

Lecture 6 : Markets 6 - 3 6 . 3 Price equilibrium

On the Diophantine Equation x^6+ky^3=z^6+kw^3

Given the positive integers m,n, solving the well known symmetric Diophantine equation xm+kyn=zm+kwn, where k is a rational number, is a challenge. By computer calculations, we show that for all integers k from 1 to 500, the Diophantine equation x6+ky3=z6+kw3 has infinitely many nontrivial (y≠w) rational solutions. Clearly, the same result holds for positive integers k whose cube-free part is n...

Cove vol.6, no.3, October 2009

Ca(4)IrO(6), Ca(3)MgIrO(6) and Ca(3)ZnIrO(6).

Single crystals of tetracalcium iridium hexaoxide, Ca(4)IrO(6), tricalcium magnesium iridium hexaoxide, Ca(3)MgIrO(6), and tricalcium zinc iridium hexaoxide, Ca(3)ZnIrO(6), were prepared via high-temperature flux growth and structurally characterized by single-crystal X-ray diffraction. The three compounds are isostructural and adopt the K(4)CdCl(6) structure type, comprised of chains of altern...