To cite: Trisal D, Kumar N, Dembla G, et al. BMJ Case Rep Published online: [please include Day Month Year] doi:10.1136/bcr-2013201969 DESCRIPTION A 12-year-old boy presented to us with a 3-year history of gradual onset progressive atrophy of the left side of the face (figure 1). There was no history of headache, facial pain, seizure, visual symptom, head trauma or family history. On examinatio...

in this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. it is shown that it generates the kolmogorov entropy as a special case. if $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

Sullivan has a keen sensitivity to the needs, expectations, and anxieties of the patient, and this is used by him to explore the whole field of interpersonal relationships, and to enable the patient to develop his more healthy features. There is no coercion, and the interpersonal relationships, between Sullivan and his patients are rather like those of a good gardener and his plants. The garden...

The β-numeration, born with the works of Rényi and Parry, provides a generalization of the notions of integers, decimal numbers and rational numbers by expanding real numbers in base β, where β > 1 is not an integer. One of the main differences with the case of numeration in integral base is that the sets which play the role of integers, decimal numbers and rational numbers in base β are not st...