Some questions of Monte-Carlo modeling on nontrivial bundles

摘要

In this work are considered some questions of Monte-Carlo modeling onnontrivial bundles. As a basic example is used problem of generation ofstraight lines in 3D space, related with modeling of interaction of a solidbody with a flux of particles and with some other tasks. Space of lines used ingiven model is example of nontrivial fiber bundle, that is equivalent withtangent sheaf of a sphere.