JOHN P1mLIPS was not a Devon man and the colic which he described with such evident personal feeling was not the Devonshire colic. In the eighteenth century the cider making counties of England were the shires of Devon, Hereford and Gloucester. Cider was being made in Devonshire in the thirteenth century. At the beginning of the eighteenth century, when Defoe visited the county he remarked on t...

A notion of rational Baker-Akhiezer (BA) function related to a configuration of hyperplanes in C is introduced. It is proved that BA function exists only for very special configurations (locus configurations), which satisfy certain overdetermined algebraic system. The BA functions satisfy some algebraically integrable Schrödinger equations, so any locus configuration determines such an equation...

Contact dermatitis of hands is frequent among bakers and, as in other subjects doing ‘wet work’ and/or exposed to powders, is classically irritant in origin (1). This often results in allergic causes being overlooked and, consequently, not investigated adequately, despite the multiple potential allergens in the workplace. We present a case of occupational hand eczema caused by a well-known and ...

The circle of problems that the present paper belongs to dates back to the 1930s, namely, to K. Mahler’s work on a classification of transcendental real and complex numbers. For a polynomial P (x) = a0 + a1x + · + anx n ∈ Z[x], let us denote by hP the height of P , that is, hP def = maxi=0,...,n |ai|. It can be easily shown using Dirichlet’s Principle that for any z ∈ C and any n ∈ N there exis...

For more then 200 years the helicoid was the only known infinite total curvature embedded minimal surface of finite topology. The situation changed in 1993, when Hoffman, Karcher and Wei [9] discovered the genus one helicoid a minimal torus with one end, which has a form of the helicoid at infinity. The genus one helicoid was constructed using the Weierstrass representation. Karcher, Wei and Ho...

We define a class of dynamical systems on the sphere analogous to the baker map on the torus. The classical maps are characterized by dynamical entropy equal to ln 2. We construct and investigate a family of the corresponding quantum maps. In the simplest case of the model the system does not possess a time reversal symmetry and the quantum map is represented by real, orthogonal matrices of eve...