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arxiv: 1705.04581 · v1 · pith:CTRJQE3Gnew · submitted 2017-05-10 · 🧮 math.CV

Schwarz-Christoffel: piliero en rivero (a pillar on a river)

classification 🧮 math.CV
keywords halfplaneschwarz-christoffelcomplexduon-ebenoupperangleangulo
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La transformoj de Schwarz-Christoffel mapas, konforme, la superan kompleksan duon-ebenon al regiono limigita per rektaj segmentoj. Cxi tie ni priskribas kiel konvene kunigi mapon de la suba duon-ebeno al mapo de la supera duon-ebeno. Ni emfazas la bezonon de klara difino de angulo de kompleksa nombro, por tiu kunigo. Ni diskutas kelkajn ekzemplojn kaj donas interesan aplikon pri movado de fluido. ------- Schwarz-Christoffel transformations map, conformally, the complex upper half plane into a region bounded by right segments. Here we describe how to couple conveniently a map of the lower half plane to the map of the upper half plane. We emphasize the need of a clear definition of angle of a complex, to that coupling. We discuss some examples and give an interesting application for motion of fluid.

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