More mutually orthogonal latin squares

Wilson's construction for mutually orthogonal Latin squares is generalized. This generalized construction is used to improve known bounds on the function n_r (the largest order for which there do not exist r MOLS). In particular we find n₇?780, n₈?4738, n₉?5842, n₁₀?7222, n₁₁?7478, n₁₂?9286, n₁₃?9476, n₁₅?10632.     

Slowly oscillating functions and a generalization of quasi-monotone coefficients

We first state a conjecture due to Yong concerning equality of two classes of functions, and then give examples to disprove the conjecture. Later we extend some theorems concerning integrability of Fourier series.     

Crystallization of polyethylene at elevated pressures

The crystallization from the melt of three sharp polyethylene fractions has been studied at 5 kbar. It has been shown that the thickness of so-called extended-chain lamellae is a function of time, temperature, and molecular weight. There is by no means just the fully extended molecular configuration present. Crystallization is qualitatively similar to that of chain-folded crystals at 1 bar, giving an optimum lamellar thickness which increases with time and decreasing supercooling. Fractional crystallization is widespread and is a major cause of disparate lamellar thickness. Isothermal thickening of lamellae during crystallization has been established directly. Morphological detail suggests further that layers can increase their thickness tenfold over their initial size.