A small subset of patients with antiphospholipid syndrome (APS) may develop widespread thrombotic disease organ damage, referred to as catastrophic APS (CAPS) that is associated a high mortality. Medical therapy typically involves combination anticoagulation, systemic glucocorticoids, plasmapheresis, and intravenous immune globulin (IVIG). There currently no consensus for the management refract...

We consider bounds on codes in spherical caps and related problems in geometry and coding theory. An extension of the Delsarte method is presented that relates upper bounds on the size of spherical codes to upper bounds on codes in caps. Several new upper bounds on codes in caps are derived. Applications of these bounds to estimates of the kissing numbers and one-sided kissing numbers are consi...

In this paper we provide two introductory analyses of CAPs, based exclusively on the analysis of documents found on the Internet. The first analysis allowed us to investigate the world of CAPs, in particular for what concerned their status (dead or alive), the scope of those platforms and the typology of users. In order to develop a more accurate model of CAPs, and to understand more deeply the...

In this article, we consider ‘N ’spherical caps of area 4πp were uniformly distributed over the surface of a unit sphere. We are giving the strong threshold function for the size of random caps to cover the surface of a unit sphere. We have shown that for large N, if Np log N > 1/2 the surface of sphere is completely covered by the N caps almost surely , and if Np log N ≤ 1/2 a partition of the...

on antiphospholipid antibodies. This registry is a database in a web-based format that includes all patients with CAPS published or reported directly to the CAPS Registry Project Group. Their results are freely available on the web site: https://ontocrf. costaisa.com/en/web/caps. In the present issue of this journal, De Meis et al. [4] describe the development of CAPS in four patients with mali...

AIM To investigate child and adolescent psychiatrists' (CAPs) attention deficit hyperactivity disorder (ADHD) and oppositional defiant disorder (ODD) diagnoses and treatments in real-world clinical practice. METHODS The medical records of 69 ADHD children (mean age = 9.5 years), newly referred to the ADHD clinic, were reviewed for their scores of parent- and teacher-reported Vanderbilt ADHD D...

The smallest known complete caps in PG(n, 2) have size 23(2(n−6)/2) − 3 if n ≥ 10 is even and size 15(2(n−5)/2) − 3 if n ≥ 9 is odd. Here we give a simple construction of complete caps in PG(n, 2) of size 24(2(n−6)/2)− 3 if n is even and size 16(2(n−5)/2)− 3 if n is odd. Thus these caps are only slightly larger than the smallest complete caps known in PG(n, 2). © 2003 Elsevier Ltd. All rights r...

In [4], a characterization theorem for Veronesean varieties in PG(N,K), with K a skewfield, is proved. This result extends the theorem for the finite case proved in [6]. In this paper, we prove analogous results for Hermitian varieties, extending the results obtained in the finite case in [1] in a non-trivial way.

In the binary projective spaces PG(n,2) k-caps are called large if k > 2n−1 and small if k ≤ 2n−1. In this paper we propose new constructions producing infinite families of small binary complete caps.