An n-dimensional (convex) polytope is said to have few vertices if their number does not exceed n + 3. Similarly, a simplicial n-sphere with few vertices would not contain more than n + 4 of them. We want to show that all such spheres a...

Here it is shown that n points in the plane, no three on a line, always determine at least n slopes, with equality iff the n points are the vertices of an affinely regular polygon. Some bounds are also obtained on the minimum number of ...

An expression is derived for the intensity distribution due to a partially coherent field at a distance satisfying the Fresnel approximation. The Collet-Wolf equivalence theorem, which provides conditions under which sources of differen...

The development of fracture mechanics test methods for the determination of delamination resistance or fracture toughness of fiber-reinforced, polymer–matrix composites is an active area of research. The emphasis in this review is on ...

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An explicit formula for the solution of the discrete version of the Fisher-Wright Nike Air Max 2014 Canada selection model is given. Mathematically, the equations of this model form a system of non-linear difference equations of first o...

Reduced sh-Lie structures have been studied for the case when a Lie group acts on the fibers of a Nike Air Max 90 Hyperfuse vector bundle while preserving the base space of the bundle. In this paper we investigate how one obtains a redu...

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It has been known for some time that stimulation of heterotrimeric G protein-coupled receptors can cause cytoskeletal reorganization. A recent report in Developmental Cell (Lowry et al., 2002) demonstrates that the activation of a tyros...

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