The classical Busemann-Petty problem (1956) asks, whether origin-symmetric convex bodies in R with smaller hyperplane central sections necessarily have smaller volumes. It is known, that the answer is affirmative if n ≤ 4 and negative if n > 4. The same question can be asked when volumes of hyperplane sections are replaced by other comparison functions having geometric meaning. We give unified ...

No question is more important in Britain today than that of industrial democracy. More and more people ai'e keenly discussing the issue which quite recently was of concern only to the smallest minority. In the next year or so, it is perfectly possible that general elections will be fought in order to decide upon proposals for the democratisation of work. With the British economy stumbling from ...

Abstract. The aim of this paper is to study properties of sections of convex bodies with respect to different types of measures. We present a formula connecting the Minkowski functional of a convex symmetric body K with the measure of its sections. We apply this formula to study properties of general measures most of which were known before only in the case of the standard Lebesgue measure. We ...

BACKGROUND Wiedemann-Rautenstrauch (neonatal progeroid) syndrome (WRS) is a rare autosomal recessive condition, with the characteristic appearance of premature aging already present at birth and other typical features (hypotrichosis, macrocephaly, mental retardation, aged face, generalized lipoatrophy, abnormal tooth status, osteopenia and other skeletal abnormalities). To date, there are no da...