APPROXIMATE EQUATIONS FOR CIRCULAR HINGE STIFFNESSES

Approximate equations for circular hinge stiffnesses

Flexure hinges are widely used for very high precision mechanisms, such as a high precision linear guide, a nano positioning stage, a robot hand and etc., because of no gap and no friction.Regarding circular hinge stiffnesses, Paros and Weisbord derived Cardigan exact solutions, but they are unwieldly because of the complexity.Simpler equations are

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Squashing and supersymmetry enhancement in three dimensions

We consider mass-deformed theories with ${cal N}geq2$ Basketball Shoes supersymmetry on round and squashed three-spheres.By embedding the supersymmetric backgrounds in extended supergravity we show that at special values of mass deformations the supersymmetry is enhanced on the squashed spheres.When the $3d$ partition function can be obtained by a

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