Let f : Y → Z with Y ⊆ XI := Πi∈I Xi. Then (a) J ⊆ I is essential if there are x, y ∈ Y such that d(x, y) = J and f(x) 6= f(y), where d(x, y) := {i ∈ I : xi 6= yi}; Jf := {i : {i} is essential}; an essential J is optimally essential if no essential J ′ ⊆ J satisfies |J ′| < |J |; J ∈ Jf if J is a maximal family of pairwise disjoint optimally essential sets; λf := sup{|J | : J ∈ Jf}. (b) f depen...

the National Association of Secondary School Principals (NASSP) cooperated to explore the possible impact of learning-style instructional strategies on student achievement and attitudes. In five years, that initial effort expanded into a national network that continued expanding to include thirty centers on four continents by 1994. The group, the International Learning Styles Network, currently...

Background. Septic arthritis (SA) is a common and serious infection in children and can cause significant orthopedic morbidity. Bacteria are most often implicated, but routine cultures are frequently negative, because of prior antibiotics or delayed evaluation of joint fluid (JF). As such, children are treated with broad-spectrum antibiotics. A rapid molecular test that can identify the common ...

BACKGROUND Understanding the pathogenesis of the chiari-like malformation in the Cavalier King Charles Spaniel (CKCS) is incomplete, and current hypotheses do not fully explain the development of syringomyelia (SM) in the spinal cords of affected dogs. This study investigates an unconventional pathogenetic theory for the development of cerebrospinal fluid (CSF) pressure waves in the subarachnoi...

In this paper, the security of a distance bounding protocol is analyzed which has been recently proposed by Jannati and Falahati (so-called JF). We prove that an adversary can recover key bits of JF protocol with probability of “1” while the complexity of attack is “2n” runs of protocol. In addition, we propose an improved protocol and prove that the improved protocol is resistant to mafia frau...