In this paper, by using the geometric construction of linear blocking sets as projections of canonical subgeometries, we determine all the GF (q)linear blocking sets of the plane PG(2, q).

BACKGROUND To date, little is known for pacing in ultra-endurance athletes competing in a non-stop event and in a multi-stage event, and especially, about pacing in a multi-stage event with different disciplines during the stages. Therefore, the aim of the present study was to examine the effect of age, sex and calendar year on triathlon performance and variation of performance by events (i.e.,...

BACKGROUND Early-life socioeconomic status (SES) may play a role in cancer risk in adulthood. However, measuring SES retrospectively presents challenges. Parental occupation on the birth certificate is a novel method of ascertaining early-life SES that has not been applied in cancer epidemiology. METHODS For a Baby-Boom cohort born from 1945-1959 in two Utah counties, individual-level Nam-Pow...

BACKGROUND Utilization of cardiac services varies across regions and hospitals, yet little is known regarding variation in the intensity of outpatient cardiac care across cardiology physician practices or the association with clinical endpoints, an area of potential importance to promote efficient care. METHODS AND RESULTS We included 7 160 732 Medicare beneficiaries who received services fro...

BACKGROUND AND PURPOSE We investigate whether admission serum calcium levels are associated with hematoma volume, stroke severity, and outcomes in patients with acute intracerebral hemorrhage. METHODS A total of 273 patients admitted within 24 hours after intracerebral hemorrhage onset was divided into quartiles based on admission serum calcium levels (Q1 [≤9.0], Q2 [9.1-9.3], Q3 [9.4-9.7], Q...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...

We give a rational form of a generic two-dimensional “quad” map, containing the so-called Q4 case [1, 2, 3, 4, 5, 6], but whose coefficients are free. Its integrability is proved using the calculation of algebraic entropy. We first explain the setting, i.e. what are two dimensional lattice maps on a square lattice (quad maps), and describe two characteristics of integrability of such systems, r...

The observed rapid fall-off of the proton’s electromagnetic form factor at high spacelike momentum transfer squared q2 may result from compositeness, Here we examine simple models to determine upper bounds on the asymptotic behavior of the form factors derived from them. General requirements of non,’ z relativistic quantum mechanics yield form factors of two-body composites which fall at least ...

By recurring to Geometric Probability methods it is shown that the coupling constants, αEM , αW , αC , associated with the electromagnetic, weak and strong (color) force are given by the ratios of measures of the sphere S and the Shilov boundaries Q3 =S 2 ×RP , squashed S, respectively, with respect to the Wyler measure ΩWyler[Q4] of the Shilov boundary Q4 =S ×RP 1 of the poly-disc D4 (8 real d...