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...

In a recent paper [6], van Mill and Mogilski prove that a proper hereditary shape equivalence preserves property C, if its domain is σ-compact. In this note, the same result is established without the hypothesis of σ-compactness. An ...

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 ...

The effects of radial clearance, viscosity of the lubricating oil, and inlet pressure, on the oil whip phenomena of flexible rotors were studied experimentally. The observations are compared with the stability zones that can be predicte...

tert-Butyl methyl ether (TBME) has been effectively used as a reagent for esterification of carboxylic acids. By varying amounts of sulfuric acid, a remarkable regioselectivity in esterification Nike Air Max Tn 2013 has been demonstrate...

A union closed familyAis a finite family of sets such that the union of any two sets inAis also inA. The conjecture under consideration is Conjecture 1: For every union closed familyA, there exists somexcontained in at least half the me...

Intensive study of opioid peptides has yielded fruitful results, including the isolation and characterization of various peptides, the demonstration of their specialized localization and their precursors, and clarification of some of th...

We show that the nonemptiness problem for two-way automata with only one endmarker over unary alphabets is complete for nondeterministic logarithmic space. This should be contrasted with the corresponding problem for two-way Air Max The...

Difference approximations for differential singular perturbations with small parameter ϵ are considered. We point out ellipticity and coerciveness conditions which are necessary and sufficient for a two-sided a priori estimate to hold ...

The propagation of flat-topped beam passing through a paraxial optical ABCD system is extended to partially coherent case and has been studied in detail. Based on Wigner distribution function (WDF), the irradiance distribution of partia...