In 1975, McKusick1 first mentioned a syndrome of ulnar ray defects and genital abnormalities, citing a personal communication from A Schinzel (1973), and named it 'Schinzel syndrome' (McKusick No 18145) in this and in all subsequent editions of his catalogue.2 One year later, Pallister et a13 and Gonzales et a14 described the same syndrome in two families, and the latter authors named the syndr...

Let X be a linear space over the field of real or complex numbers. We characterize solutions f : X → K and M : K → K of the equation f(x + M(f(x))y) = f(x)f(y) under assumption that the set {x ∈ X : f(x) 6= 0} has an algebraically interior point. As a consequence we give solutions of the equation such that f is bounded on a set having an algebraically interior point.

One class of Davenport-Schinzel sequences consists of finite sequences over n symbols without immediate repetitions and without any subsequence of the type abab. We present a bijective encoding of such sequences by rooted plane trees with distinguished nonleaves and we give a combinatorial proof of the formula 1 k − n+ 1 ( 2k − 2n k − n )( k − 1 2n− k − 1 ) for the number of such normalized seq...