6,034 research outputs found

    New (Probabilistic) Derivation of Diaz-Metcalf and Pólya-Szegő Inequalities and Consequences

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    Classical inequalities of Diaz - Metcalf and Pólya - Szegő are generalized to probabilistic setting which covers the initial deterministic (both discrete and integral) variants. From these two inequalities, by the probabilistic derivation method further well - known inequalities are obtained (that ones by Kantorovich, Rennie and Schweitzer)

    Mouvance and the medieval author: re-editing Ancrene Wisse

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    The paper discusses the theoretical and practical problems of editing the early thirteenth-century guide for anchoresses, Ancrene Wisse, which (in Paul Zumthor's phrase) is an 'oeuvre mouvante', modified repeatedly from an early stage by its author and others

    D.S. Merezhkovsky and C.G. Jung: General and Special

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    В статье рассмотрены особенности трактовки символа в творчестве Д.С. Мережковского и К.Г. Юнга. Показано влияние идей Мережковского на формирование воззрений К.Г. Юнга, проведен сопоставительный анализ их концепций символа как многозначной и универсальной категории, подчеркнуто значение творчества мыслителей для интерпретации исторических событий и осмысления современной общественной ситуации.The article describes the features of the interpretation of the symbol in the works of D.S. Merezhkovsky and K.G. Jung. The author focuses the attention on the influence Merezhkovsky's ideas on the formation of views of Jung, conducted a comparative analysis their conceptions of symbolism as a multi–valued and universal category, stressed the importance thinkers’ works for the interpret historical events and understanding the contemporary social situation

    Fully localised edge states in boundary layers

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    Investigation of the laminar-turbulent boundary is performed in a boundary-layer flow. Constant homogeneous suction is applied at the wall in order to prevent the spatial growth of the layer, leading to the parallel Asymptotic Suction Boundary Layer (ASBL). Edge tracking is performed in a large computational domain allowing for full spatial localisation of the structures on the laminar-turbulent separatrix. The obtained dynamics of the state goes through calm and bursting phases. During the latter the structure grows in size, shedding vortices downstream of its core which viscously decay during the calm phases. Comparison with the computation in spatially growing boundary layer is made. The influence of the Reynolds number and the path leading from the edge state to turbulent flow are considered
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