Let [P,(")] be the class of all subsets P, ( ') of the k-dimensional Euclidean space consisting of n distinct points and having diameter 1 . Denote by dk (n, r) the maximum number of times a given distance r can occur among points of a set Pn ( k) . l'ut Dk (n) = max, d, (n, r) . In other words Dk (n) denotes the maximum number of times the same distance can occur between n suitably chosen poin...

If S is a subset of an abelian group G, the polychromatic number in G largest integer k so that there k-coloring elements such every translate gets all colors. We determine sets size 2 or 3 integers $$\bmod$$ n.

Alterations of absolute number or percentage of circulating white blood cell (WBC) subsets are associated with psychological and physical stress. Gender effects on the changes of circulating WBC subsets following surgical treatment have not been determined. Therefore, the current study aimed to determine whether circulating neutrophils, lymphocytes and monocytes, and neutrophil-lymphocyte ratio...

pointed out a misprint in the \Subset Takeaway" problem (Open Problems #8, Fall 1992). In Subset Takeaway on the full lattice of subsets of an n-element set, each move eats a remaining subset and all the subsets contained in it, and the player eating the full set is the loser. As proved in the discussion last time, this is a win for the rst player. The question concerned the poset lacking the m...

background: lymphocyte subsets enumeration is considered prominent in the management of primary and acquired immunodeficiency disorders. because of local variations due to race, age, gender, and environmental conditions on lymphocyte subsets, and to improve the accuracy of interpretation of laboratory findings, reference intervals must be determined in every population. objective: to establish ...

The QFASA model uses several sources of data, each of which requires careful consideration by the researcher (Iverson et al. 2004). We evaluated the sensitivity of QFASA diet estimates to the following model inputs: prey species included (prey library), fatty acid (FA) subsets, and calibration coefficients (CC). We did this by repeatedly estimating diets for all seals (harp seals Pagophilus gro...

The transition to phase synchronization in systems consisting of a large number (N) of coupled nonlinear oscillators via the route of phase clustering (phase synchronization among subsets of oscillators) is investigated. We elucidate the mechanism for the merger of phase clusters and find an algebraic scaling between the critical coupling parameter required for phase synchronization and N. Our ...