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Fairs --- Hyperboloid --- Torus (Geometry)

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Boiling water reactors. --- Torus (Geometry)

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In the toroidal tire cavity, standing waves can occur, leading to very high amplitudes. To investigate the cavity modes, experimental investigations are performed with pulse excitation, on a tire inner-drum test bench and under real operating conditions with a vehicle. At first, fundamental examinations are presented that focus on the identification of cavity modes and on the different system states. In a next step, various excitation mechanisms and important influencing factors are considered.

tire noise --- torus --- cavity mode --- Hohlraummode --- stehende Welle --- Torus --- Reifengeräusch --- standing wave

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This paper gives a systematic study of Sobolev, Besov and Triebel-Lizorkin spaces on a noncommutative d-torus mathbb{T}^d_heta (with heta a skew symmetric real dimes d-matrix). These spaces share many properties with their classical counterparts. The authors prove, among other basic properties, the lifting theorem for all these spaces and a Poincar� type inequality for Sobolev spaces.

Function spaces. --- Sobolev spaces. --- Lipschitz spaces. --- Torus (Geometry)

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Algebraic geometry --- Differential geometry. Global analysis --- Toric varieties --- Embeddings, Torus --- Torus embeddings --- Varieties, Toric --- Algebraic varieties --- Toric varieties. --- Algebraic geometry -- Special varieties -- Toric varieties, Newton polyhedra.