Nucleophilic addition of aliphatic amino acids to N-2-methyl-9-hydroxy-ellipticinium acetate under peroxidase-catalysed oxidative conditions : a reinvestigation and structural revision of the adducts

A reinvestigation of the adducts resulting from a peroxidase-catalysed reaction of $\text{N}$-2-methyl-9-hydroxyellipticinium acetate 1 with some aliphatic amino acids led to their structural revision from 3 to 4.     

Prolongations of valuations to finite extensions

Let ${K=\mathbb{Q}(\theta)}$ be an algebraic number field with θ in the ring A _K of algebraic integers of K and f(x) be the minimal polynomial of θ over the field ${\mathbb{Q}}$ of rational numbers. For a rational prime p, let ${\bar{f}(x)\,=\,\bar{g}_{1}(x)^{e_{1}}....\bar{g}_{r}(x)^{e_{r}}}$ be the factorization of the polynomial ${\bar{f}(x)}$ obtained by reducing coefficients of f(x) modulo p into a product of powers of distinct irreducible polynomials over ${\mathbb{Z}/p\mathbb{Z}}$ with g _i (x) monic. Dedekind proved that if p does not divide [ ${A_{K}:\mathbb{Z}}$ [θ]], then ${pA_{K}=\wp_{1}^{e_{1}}\ldots\wp_{r}^{e_{r}}}$ , where ${\wp_{1},\ldots,\wp_{r}}$ are distinct prime ideals of A _K , ${\wp_{i}=pA_{K}+g_{i}(\theta)A_{K}}$ having residual degree equal to the degree of ${\bar{g}_{i}(x)}$ . He also proved that p does not divide [ ${A_{K}:\mathbb{Z}}$ [θ]] if and only if for each i, either e _i  = 1 or ${\bar{g}_{i}(x)}$ does not divide ${\bar{M}(x)}$ where ${M(x)=\frac{1}{p}(f(x)-g_{1}(x)^{e_{1}}....g_{r}(x)^{e_{r}})}$ . Our aim is to give a weaker condition than the one given by Dedekind which ensures that if the polynomial ${\bar{f}(x)}$ factors as above over ${\mathbb{Z}/p\mathbb{Z}}$ , then there are exactly r prime ideals of A _K lying over p, with respective residual degrees ${\deg \bar {g}_{1}(x),...,\deg \bar {g}_{r}(x)}$ and ramification indices e ₁, ..., e _r . In this paper, the above problem has been dealt with in a more general situation when the base field is a valued field (K, v) of arbitrary rank and K(θ) is any finite extension of K.     

Efficient derivative-free variants of Hansen-Patrick’s family with memory for solving nonlinear equations

In this paper, we present a new tri-parametric derivative-free family of Hansen-Patrick type methods for solving nonlinear equations numerically. The proposed family requires only three functional evaluations to achieve optimal fourth order of convergence. In addition, acceleration of convergence speed is attained by suitable variation of free parameters in each iterative step. The self-accelerating parameters are estimated from the current and previous iteration. These self-accelerating parameters are calculated using Newton’s interpolation polynomials of third and fourth degrees. Consequently, the R-order of convergence is increased from 4 to 7, without any additional functional evaluation. Furthermore, the most striking feature of this contribution is that the proposed schemes can also determine the complex zeros without having to start from a complex initial guess as would be necessary with other methods. Numerical experiments and the comparison of the existing robust methods are included to confirm the theoretical results and high computational efficiency.     

Viscosity and Diffusion Effects at the Boundary Surface of Viscous Fluid and Thermoelastic Diffusive Solid Medium

This paper concentrates on the wave motion at the interface of viscous compressible fluid half-space and homogeneous isotropic, generalized thermoelastic diffusive half-space. The wave solutions in both the fluid and thermoelastic diffusive half-spaces have been investigated; and the complex dispersion equation of leaky Rayleigh wave motion have been derived. The phase velocity and attenuation coefficient of leaky Rayleigh waves have been computed from the complex dispersion equation by using the Muller's method. The amplitudes of displacements, temperature change and concentration have been obtained. The effects of viscosity and diffusion on phase velocity and attenuation coefficient of leaky Rayleigh waves motion for different theories of thermoelastic diffusion have been depicted graphically. The magnitude of heat and mass diffusion flux vectors for different theories of thermoelastic diffusion have also been computed and represented graphically.     

Regio- and stereoselective alkylation at the 3′-terminal end of ribonucleotides by N-2-methyl-9-hydroxyellipticinium acetate : an antitumor agent

The regio- and stereoselective alkylation at the 3′-terminal end of ribonucleotides by N-2-methyl-9-hydroxyellipticinium acetate under oxidative conditions is reported.     

Preparation and Characterization of Dioxotungsten (VI) Complexes of Schiff Bases Derived from Salicylaldehydes and O-Aminothiophenol

Several dioxotungsten(VI) complexes of the type WO₂L and WO₂L.X (where LH₂ = Schiff base derived from o-aminothiophenol and salcylaldehyde, 5-chlorosalicylaldehyde, 5-bromosalicylaldehyde, and X = dimethyl formamide, dimethyl sulfoxide or pyridine) have been prepared and characterized by elemental analysis, electrical conductance, magnetic and spectral measurements. These complexes are non-electrolyte, diamagnetic, six-coordinated and possess an octahedral geometry.     

Reinvestigation of the reaction of n-2-methyl-9-hydroxyellipticinium acetate with adenosine and methanol.

Reaction of the quinone imine obtained by oxidation of 9-hydroxyellipticine derivatives with adenosine and methanol has been reinvestigated and the structures of the adducts established.