We report asymmetric allylic alkylation of barium enolates of cyclic ketones catalyzed by a metallacyclic iridium complex containing a phosphoramidite ligand derived from (R)-1-(2-naphthyl)ethylamine. The reaction products contain adjacent quaternary and tertiary stereocenters. This process demonstrates that unstabilized cyclic ketone enolates can undergo diastereo- and enantioselective Ir-cata...

In this paper it is proved, that for every prime number p, the set of cyclic p-roots in C is finite. Moreover the number of cyclic p-roots counted with multiplicity is equal to ( 2p−2 p−1 ) . In particular, the number of complex circulant Hadamard matrices of size p, with diagonal entries equal to 1, is less than or equal to ( 2p−2 p−1 ) .

The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this modular operad is shown to be the modular envelope of the A∞ cyclic operad. This gives a new proof of the result of Harer-Mumford-Thurston-Penner-Kontsevich that a cell complex built from ribbon graphs is homotopy equiva...

‎‎A natural generalization of two dimensional cyclic code ($T{TDC}$) is two dimensional skew cyclic code‎. ‎It is well-known that there is a correspondence between two dimensional skew cyclic codes and left ideals of the quotient ring $R_n:=F[x,y;rho,theta]/_l$‎. ‎In this paper we characterize the left ideals of the ring $R_n$ with two methods and find the generator matrix for two dimensional s...

In this work, for the first time poly (benzoquinone) chromium (III) complex (PBQC) was synthesized with a one pot, one step, simple and fast method. This novel polymer was used for modification of graphite paste electrode for electrochemical determination of Mesalazine. Moreover, this novel modifier was characterized by Fourier transform infrared spectroscopy, Field emission scanning electron m...

This paper describes the development, electrochemical characterization and utilization of novel modified molybdenum (VI) complex-carbon nanotube paste electrode for the electrocatalytic determination of ascorbic acid (AA). The electrochemical profile of the proposed modified electrode was analyzed by cyclic voltammetry (CV) that showed a shift of the oxidation peak potential of AA about 235 mV ...

In situ electropolymerization as a facile synthetic procedure has been used to obtain highly active compositesof ionic liquid functionalized graphene oxide(FGO)and poly ortho aminophenol (POAP). Surface and electrochemical analysis have been used for characterisation of FGO-POAP composite film. Nickel was accumulated by complex formation between Ni (II) in solution and amines sites in the polym...

In situ electropolymerization as a facile synthetic procedure has been used to obtain highly active compositesof ionic liquid functionalized graphene oxide(FGO)and poly ortho aminophenol (POAP). Surface and electrochemical analysis have been used for characterisation of FGO-POAP composite film. Nickel was accumulated by complex formation between Ni (II) in solution and amines sites in the polym...

The modular envelope of a cyclic operad is the smallest modular operad containing it. A modular operad is constructed from moduli spaces of Riemann surfaces with boundary; this modular operad is shown to be the modular envelope of the A∞ cyclic operad. This gives a new proof of the result of Harer-Mumford-Thurston-Penner-Kontsevich that a cell complex built from ribbon graphs is homotopy equiva...

We study the sequence of consecutive powers of a matrix in the max-plus algebra, which has maximum and addition as its basic operations. If the matrix is irreducible then it is well known that the ultimate behavior of the sequence is cyclic. For reducible matrices the ultimate behavior is more complex, but it is also cyclic in nature. We will give a detailed characterization of the rates and pe...