In some statistical process monitoring applications, quality of a process or product is described by more than one ordinal factors called ordinal multivariate process. To show the relationship between these factors, an ordinal contingency table is used and modeled with ordinal log-linear model. In this paper, a new control charts based on ordinal-normal statistic is developed to monitor the ord...

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...