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A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an intimate connection between a generalized notion of convexity, various concepts in mathematic...
Recent results suggest that an iron-rich oxide may have fractionally crystallized from a primordial magma ocean and settled on the core–mantle boundary (CMB). Based on experimental results, the presen...
Search for the statistical anisotropy in the CMB data is a powerful tool for constraining models of the early Universe. In this paper we focus on the recently proposed cosmological scenario with confo...
Rolling of asymmetric disks on an inclined plane     asymmetric disks  Roll  inclined plane       font style='font-size:12px;'> 2011/8/5
Abstract: In a recent papers, Turner and Turner (2010 {\em Am. J. Phys.} {\bf 78} 905-7) and Jensen (2011 {\em Eur. J. Phys.} {\bf 32} 389-397) analysed the motion of asymmetric rolling rigid bodies o...
Abstract: The problem of a disc and a ball rolling on a horizontal plane without slipping is considered. Differential constrained equations are shown to be integrated when the trajectory of the point ...
We illustrate a theoretical procedure determining necessary conditions for which simultaneous pure rolling kinetic constraints acting on a mechanical system can be fulfilled. We also analyze the suffi...
Slipping and Rolling on an Inclined Plane     Inclined Plane  Slipping and Rolling       font style='font-size:12px;'> 2011/9/1
In the first part of the article using a direct calculation two-dimensional motion of a particle sliding on an inclined plane is investigated for general values of friction coefficient (μ). A parametr...
In this paper, we consider two cases of rolling of one smooth connected complete Riemannian manifold $(M,g)$ onto another one $(\hM,\hg)$ of equal dimension $n\geq 2$. The rolling problem $(NS)$ corre...
We consider the ordered and disordered dynamics for monolayers of rolling self-interacting par- ticles with an o -set center of mass and a non-isotropic inertia tensor. The rolling constraint is cons...
The fundamental understanding of the processes that lead to these parallel grooves is not just useful theoretically, but could ultimately allow geologists to predict how eroding landscapes will respon...
The outside serrated integral-fin tubes fabricated by rolling-plowing-extrusion processing were surface-treated through different processes of annealing in hydrogen atmosphere,electrochemical corrosio...

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