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Electronic systems used within the home and in public places are increasingly sophisticated. Simplifying the interface between people and these complex systems is a major design challenge. User trials which highlight the needs of older people can result in interface design which performs well for a wide range of users. Three case studies are outlined as illustrations. The preparation Nike Jordan Shoes Canada of standard solutions containing mercury at the p.p.b. level has been investigated. Addition of sodium chloride to dilute mercury solutions below pH 1 improves the stability of the solutions greatly. Standard solutions containing 1–1000 p.p.b. Hg sealed in Pyrex glass ampoules are stable and usable for 18 months. The Frank constant of the hexatic phase appearing in the phenomenological theories of two-dimensional melting is derived in terms of microscopic characteristics of the system such as the potential and the radial distribution function. Attached primes and secondary representations were introduced in 1973 by Macdonald [I.G. Macdonald, Secondary representation of modules over a commutative ring, Sympos. Math. 11 (1973) 23–43] to develop a dual theory to the associated primes and primary decomposition in commutative algebra. This article generalizes Nike Air Jordan Canada Macdonald’s theory to the noncommutative setting.