The Nambu Sum Rule in the Composite Two Higgs Doublet Model

Physics of Particles and Nuclei Letters - The spectrum of spinless modes in a model with the $$SU{{(2)}_{L}} \times U{{(1)}_{R}}$$ symmetrical four-quark-interaction proposed by Miransky,...     

Synthesis and Antibacterial Assay of Some New Pyrenyl Pyridine Candidates

Russian Journal of General Chemistry - Novel polycyclic compounds, 1-pyrene-based pyridone derivatives, are synthesized by treatment of pyrenyl acetohydtazide with several arylidenemalononitriles...     

Thermal stability and crystallization phenomena of low cost Ti-based bulk metallic glass

The thermal stability, kinetics of crystallization, and glass forming ability of a Ti₄₈Ni₃₂Cu₈Si₈Sn₄ bulk amorphous alloy have been studied by differential scanning calorimetry using both isothermal and non-isothermal experiments. The activation energy, frequency factor, and reaction rate for the crystallization cascade were determined via the Kissinger method. X-ray diffractometry and transmission electron microscopy studies revealed that crystallization starts with the primary precipitation of Ti(Ni,Cu), followed by the nucleation of Cu₃Ti from the amorphous precursor. The kinetics of nucleation of the primary crystalline phase was also investigated using the Johnson–Mehl-Avrami method and the Avrami exponent, n, was determined. This new alloy possesses a significantly larger supercooled liquid region than any other non beryllium- or non rare earth – containing titanium-based bulk metallic glass to date.     

Positive Solutions to Singular Semilinear Elliptic Problems

We obtain a characterization of all locally bounded functions p ≥ 0 for which the equation (E) Δu +p(x)ψ(u) = 0 has a positive solution in Ω vanishing on the boundary, where Ω is a domain of ℝ^N and ψ > 0 is a nonincreasing continuous function on ]0,∞[. In particular, for Ω = ℝ^N with N ≥ 3, it is shown that (E) has a (unique) positive solution in ℝ^N which decays to zero at infinity if and only if the set {p > 0} has positive Lebesgue measure and This condition can be replaced by if p is radial.     

Pterin chemistry. 45. A new and clear synthesis of isomer-free pteroyl-gamma-L-glutamyl-L-glutamic acid

A new and unequivocal synthesis of pteroyl-λ-L-glutamyl-L-glutamic acid free of isomers is described. A melt of N(2′)-acetyl-6-formylpterine and trimethyl-N-(p-amino-benzoyl)-λ-L-glutamyl-L-glutamate was quantitatively converted to 6-azomethin-pterine-trimethylester XI. NaBH₄-reduction followed by basic hydrolysis of acetyl and methyl ester groups gives pure pteroyl-λ-glutamyl-glutamic acid in good yield.     

Calderon’s Reproducing Formula Related to the Dunkl Operator on the Real Line

 We consider a generalized convolution , , on the real line generated by the Dunkl operator

Calderon’s Reproducing Formula Related to the Dunkl Operator on the Real Line

 We consider a generalized convolution , , on the real line generated by the Dunkl operator

Simple Zeros of the Riemann Zeta-Function

Assuming the Riemann Hypothesis, Montgomery showed by meansof his pair correlation method that at least two-thirds of thezeros of Riemann's zeta-function are simple. Later he and Taylorimproved this to 67.25 percent and, more recently, Cheer andGoldston increased the percentage to 67.2753. Here we proveby a new method that if the Riemann and Generalized LindelöofHypotheses hold, then at least 70.3704 percent of the zerosare simple and at least 84.5679 percent are distinct. Our methoduses mean value estimates for various functions defined by Dirichletseries sampled at the zeros of the Riemann zeta-function. 1991Mathematics Subject Classification: 11M26.     

Applications involving the iodide ion: VII. Determination of small amounts of cerium(IV) and analysis of its mixtures with some metal ions

A simple, rapid, and reliable method for cerium(IV) alone; in presence of a variety of cations involving rare earths and iron (III); or in binary, ternary, and quaternary mixtures is given. By its aid 10^?3 down to 1.5 × 10^?5 mole of cerium(IV) were determined with requisite accuracy and precision. The potential breaks detecting the end points ranged from a maximum of 410 to a minimum of 100 mV/0.1 ml of 0.05 or 10^?4M titrant, respectively. Analysis of 15 mixtures using the present method together with other recommended procedures was always much less tedious or time-consuming than reported methods.     

Redox properties of cobalt(III) mixed ligand complexes. II. Redox titration of some organic and inorganic substances potentiometrically

A stable solution of (cobalt(III)(salen))₂O₂ was prepared under optimum conditions for its use for the potentiometric determination of xylenols, hydroquinone, sodium thiosulfate, and sodium metabisulfite, by iodide reduction of unreacted cobalt(III) complex and back titrating excess iodide with mercury(II) using silver amalgum and SCE combination. The possible schemes for the course of the redox reactions were suggested. The procedure was also evaluated in comparison with those mentioned in the literature.