1,874 research outputs found
Some factors affecting load transfer in cemented tibial components in total knee replacement
Self-similar flows
Watkins DS, Elsner L. Self-similar flows. Linear algebra and its applications. 1988;110:213-242
Self-equivalent flows associated with the generalized eigenvalue problem
Watkins DS, Elsner L. Self-equivalent flows associated with the generalized eigenvalue problem. Linear algebra and its applications. 1989;118:107-127
New (Probabilistic) Derivation of Diaz-Metcalf and Pólya-Szegő Inequalities and Consequences
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
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
Tele-operated climbing and mobile service robots for remote inspection and maintenance in nuclear industry
D.S. Merezhkovsky and C.G. Jung: General and Special
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
Convergence of algorithms of decomposition type for the eigenvalue problem
Watkins DS, Elsner L. Convergence of algorithms of decomposition type for the eigenvalue problem. Linear algebra and its applications. 1991;143:19-47.We develop the theory of convergence of a generic GR algorithm for the matrix eigenvalue problem that includes the QR,LR,SR, and other algorithms as special cases. Our formulation allows for shifts of origin and multiple GR steps. The convergence theory is based on the idea that the GR algorithm performs nested subspace iteration with a change of coordinate system at each step. Thus the convergence of the GR algorithm depends on the convergence of certain sequences of subspaces. It also depends on the quality of the coordinate transformation matrices, as measured by their condition numbers. We show that with a certain obvious shifting strategy the GR algorithm typically has a quadratic asymptotic convergence rate. For matrices possessing certain special types of structure, cubic convergence can be achieved
Fully localised edge states in boundary layers
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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