24 research outputs found

    Synthesis of macrocyclic receptors with intrinsic fluorescence featuring quinizarin moieties

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    An unprecedented class of macrocycles with intrinsic fluorescence consisting of phenolic trimers and quinizarin is developed. Though they are lacking strong hydrogen bonds as observed in calixarenes, the two examples introduced here each adopt a vase-like conformation with all four aromatic units pointing in one direction (syn orientation). This “cone” conformation has been confirmed by NMR spectroscopy, molecular modeling, and X-ray crystallography. The laminar, electron-rich fluorophore as part of the macrocycle allows additional contacts to enclosed guest molecules

    The extremum of a linear form on the set of all cyclic substitutions of degree n

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    Problems in Applying Mathematical Methods and Electronic Computers in Planning

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    In the process of creating the material and technical base of communism, as the Draft Program of the CPSU points out, important scientific problems will have to be solved in the field of planning. Among them, the elaboration and introduction of new methods of planning involving the use of electronic computers is very important. This problem is becoming particularly pressing in view of the ever growing scale of socialist production, the increase in capital investments, technological progress, the need to raise labor productivity to the maximum, and also the formation of economic administrative regions and the reorganization of the work of central and local planning bodies.

    Minimum of a linear form on the set of all complete cycles of the symmetric group Sn

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