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The planar circular restricted three body problem in the lunar case
The planar circular restricted three body problem lunar case
2015/3/18
The course is a short introduction to some aspects of the simplest non-integrable three body problem, the study of which goes back to the seminal works of Hill, Poincar′e and Birkhoff. After Goursat (...
Circular planar nearrings: geometrical and combinatorial aspects
Planar nearring BIBD Circular Disk Field
2011/1/18
Let (N, Φ) be a circular Ferrero pair. We define the disk with center b and radius a, D(a; b), as D(a; b) = {x ∈ Φ(r) +c | r 6= 0, b ∈ Φ(r) +c, |(Φ(r) +c) ∩ (Φ(a)+b)| = 1}.We prove that in the field-g...
Reconstruction of a function from its spherical (circular) means with the centers lying on the surface of certain polygons and polyhedra
Reconstruction of a function spherical (circular) means certain polygons and polyhedra
2010/11/26
We present explicit filtration/backprojection-type formulae for the inversion of the spherical (circular) mean transform with the centers lying on the boundary of some polyhedra (or polygons, in 2D). ...
Random unitaries in non-commutative tori, and an asymptotic model for q-circular systems
non-commutative tori asymptotic model q-circular systems
2010/10/29
We consider the concept of a q-circular system, which is a deformation of the circular system from free probability, taking place in the framework of the so-called 'q-commutation relations'. We show ...