The uniqueness of multilinear PageRank vectors

The uniqueness of multilinear PageRank vectors is discussed, and the new uniqueness condition is given. The new results are better than the one given in the work of Gleich et al. published in SIAM J Matrix Anal Appl. 2015;36;1409‐1465. Numerical examples are given to demonstrate the new theoretical results.     

Tensor complementarity problems: the GUS-property and an algorithm

In this paper, we study the global uniqueness and solvability (GUS-property) of tensor complementarity problems (TCPs) for some special structured tensors. The modulus equation for TCPs is also proposed, and based on this equation, we develop the corresponding nonsmooth Newton’s method, which extends the existing method given in the work of Zheng H and Li W. The modulus-based nonsmooth Newton’s method for solving linear complementarity problems. J Comput Appl Math. 2015;288: 116-126. Numerical examples are given to demonstrate the efficiency of the proposed algorithm.     

On some Ostrowski-like type inequalities involving n knots

In this paper, we study some Ostrowski-like type inequalities proposed by Huy and Ngô. We give some improvements of these inequalities which are inspired by a result established recently.     

Organotransition-Metal Complexes of Multidentates 1. Synthesis and Characterization of N,N-Bis(Pyrazol-1-Ylmethyl)Aminomethane and N,N-Bis(3, 5-Dimethylpyrazol-1-Ylmethyl)-Aminomethane Derivatives of the Group VI Metal Carbonyls

N, N-bis(pyrazol-1-ylmethyl)aminomethane (bpam) and N, N-bis(3, 5-dimethylpyrazol-1-ylmethyl)aminomethane (bdmpam) reacted with M(CO)₆ or M(CO)₃(CH₃CN)₃ in acetonitrile to give respectively fac-(bpam)M(CO)₃ and fac-(bdmpam)M(CO)₃ in good yields (M=Cr, Mo, W). These complexes are characterized by elemental analysis, IR, and NMR and compared with the related polypyrazolylborate complexes of the group VI metal carbonyls.     

Polyfunctional tetrahydropyrido[2,3-b]pyrazine scaffolds from 4-phenylsulfonyl tetrafluoropyridine

[Reaction: see text]. Polyfunctional tetrahydropyrido[2,3-b]pyrazine scaffolds can be synthesized by sequential reaction of pentafluoropyridine with sodium phenylsulfinate and an appropriate diamine. The polyfunctionality possessed by the difluorinated tetrahydropyrido[2,3-b]pyrazine scaffolds was demonstrated in selected model reactions with nucleophiles to give access to various polysubstituted [6,6]-ring fused systems.     

Reduction of CuO-containing catalysts, CuO: II, XRD and XPS

The pyrolysis of methyl t-butyl sulfide has been studied in a stirred-flow system. Isobutene and methanethiol were the main reaction products. The first order rate coefficients yielded E_a=238±4 kJ mol^–1, log A=14.49±0.28 between 509 and 540°C.

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-- . . 509–540°C E_a=238±4 / log A=14,49±0,28.

     

Reduction of CuO-containing catalysts, CuO: I: TPR and TGA

For CuO/ZnO reduction has been shown [M. S. W. Vong et al., Catal. Lett.,4, 15 (1990)] to be faster and more extensive with CO than by H₂ and here this is shown to be the case for CuO itself, this being so then it may be preferable to characterize CuO-containing catalysts by temperature-programmed reduction with CO than with H₂. The activation energies of reduction (57–82 kJ/mol) are those expected for chemical reduction, but it is an important finding that the order with respect to hydrogen partial pressure (0.04) is extremely low and far removed from the value of unity often assumed. Different samples of CuO exhibit different reduction characteristics.

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CuO/ZnO, (Vong, M. S. W. et al., Catal. Lett. (in press)), CO, H₂. , CuO. CO , CuO, . Cu₂O , . . . (57–82 /) , . ,

     

Samarium hydroxide as catalyst in hydrogen evolution

Hydrogen evolution on a platinum cathode taking place in Na₂SO₄ as electrolyte, is catalyzed by the formation of samarium hydroxide deposited on platinum. It is shown by voltammetric experiments that the quantity of adsorbed hydrogen is greater with samarium than without it and the H₂O reduction reaction is an irreversible process due, presumably, to a reaction between the adsorbed hydrogen and samarium hydroxide.

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Na₂SO₄, , . , , H₂O .