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Complex planeThis brief note expanding on one aspect of paper [1], which deals with the complex number form of Euler–Savary formula. This formula is the relationship between the radius of the curvature and the curvature center of a path drawn by a point in the coplanar rolling of two ...
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Tanaka Formulae and Renormalization for Triple Intersections of Brownian Motion in the Plane 来自 Semantic Scholar 喜欢 0 阅读量: 27 作者:Jay Rosen,Marc Yor 摘要: We develop explicit stochastic integral representations for the renormalized triple intersection local time of planar Brownian motion. Our...
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摘要: By using an explicit representation for the horizontal lift of the Brownian motion on the Poincaré upper half-plane H 2, we show an expression for the heat kernel for the de Rham–Kodaira Laplacian on H 2. We apply the result to a study on the Selberg trace formula....
Aspherical pendulum is one that is suspended from a pivot mounting, which enables it to swing in any of aninfinitenumber of vertical planes through the point of suspension. In effect, the plane of the pendulum’s oscillation rotates freely. A simple version of the spherical pendulum, theFoucaul...
The observed effects will occur, just on a different plane. To cover other cases, more general matrix formulas are also presented for Equations (20)–(23). In the following part, we again pass through all the considered manoeuvres, this time analysing the position determination error. ...
The numerical simulation of sediment particle movement on plane sediment bed in the present study was carried out in a three-dimensional (3D) domain, with the Cartesian coordinates x, y, and z aligned in the streamwise, vertical (upward positive), and spanwise directions, respectively (Figure 1...
plane of the end panel102so as to overlap and match corresponding end flaps108formed in the adjacent end portions of side cover panels100. Hardware members, for instance sheet metal screws, may be used to attach the end cover panel102to the side cover panels100. Correspondingly, end flaps110...