322 research outputs found

    Syntheses of some 1-(alpha-hydroxybenzyl)thieno[3,4-b]indolizine derivatives and their unexpected condensation reactions

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    Some ethyl 3-(benzyl or methylthio)-1-(alpha-hydroxybenzyl)- thieno[3,4-b]indolizine-9-carboxylates were prepared by the reduction of the corresponding 1-benzoyl derivatives with sodium borohydride. These compounds were considerably unstable and their treatment with acetic acid afforded the unexpected condensation products.ArticleHETEROCYCLES. 65(7): 1557-1560 (2005)journal articl

    Bethe ansatz at q=0 and periodic box-ball systems

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    A class of periodic soliton cellular automata is introduced associated with crystals of non-exceptional quantum affine algebras. Based on the Bethe ansatz at q=0, we propose explicit formulas for the dynamical period and the size of certain orbits under the time evolution in A^{(1)}_n case.Comment: 12 pages, Introduction expanded, Summary added and minor modifications mad

    Consideration of damages of a floating roof-type oil storage tank due to thermal stress

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    Several cracks were found on some actual floating roofs of the crude oil tanks in a southern Japan refinery. It was assumed that one of the causes is due to thermal stress during the day. In order to figure out whether the thermal stress could cause damage on the floating roof, strain and temperature were measured on the actual floating roof by using optical fiber gauges. Furthermore, thermal stress analysis and fracture possibility estimation were also carried out as additional analysis. As a result, thermal stress on the floating roof turned to be relatively small and could not cause the initial crack. However, the temperature fluctuation in a day could affect the crack propagatio

    Integrable structure of box-ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry

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    The box-ball system is an integrable cellular automaton on one dimensional lattice. It arises from either quantum or classical integrable systems by the procedures called crystallization and ultradiscretization, respectively. The double origin of the integrability has endowed the box-ball system with a variety of aspects related to Yang-Baxter integrable models in statistical mechanics, crystal base theory in quantum groups, combinatorial Bethe ansatz, geometric crystals, classical theory of solitons, tau functions, inverse scattering method, action-angle variables and invariant tori in completely integrable systems, spectral curves, tropical geometry and so forth. In this review article, we demonstrate these integrable structures of the box-ball system and its generalizations based on the developments in the last two decades.Comment: 73 page
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