We answer a question of Jockusch by constructing a hyperimmunefree minimal degree below a 1-generic one. To do this we introduce a new forcing notion called arithmetical Sacks forcing. Some other applications are presented.

Endocarditis is rarely reported in sheep and information presented for ovine endocarditis is based mostly on comparative findings in the cattle. Infective vegetative endocarditis of the right heart was diagnosed in a 3-year-old fat-tailed ram. Clinical findings included tachycardia, marked brisket edema, jugular veins distention and pulsation and pale mucous membranes. Hematologic abnormality i...

We consider a cardinal invariant closely related to Hindman’s theorem. We prove that this cardinal invariant is small in the iterated Sacks perfect set forcing model, and that its corresponding parametrized diamond principle implies the existence of union ultrafilters. As a corollary, this establishes the existence of union ultrafilters in the iterated Sacks model of Set Theory.

Rational numbers are used to classify maximal almost disjoint (MAD) families of subsets of the integers. Combinatorial characterization of indestructibility of MAD families by the likes of Cohen, Miller and Sacks forcings are presented. Using these it is shown that Sacks indestructible MAD family exists in ZFC and that b = c implies that there is a Cohen indestructible MAD family. It follows th...

Infective endocarditis can complicate with ischemic stroke. Neurological complications develop in 20-40% of all patients with infective endocarditis. These are mainly due to vegetation embolism.This report represents a case of 30 years old female patient who presented with features of heart failure New York Heart Association (NYHA) class IV with infective endocarditis and left hemiparesis. On e...

As in the traditional production of cheese in lambskin sacks raw cow's or sheep's milk is mostly used, the purpose of this study is to see how the production affects the microbiological quality of the cheese. To do that, we tested 39 samples of raw cow's and sheep's milk, curd, ripened cheese (15, 30 and 45 days) and lambskin sacks for native microbial population. Two-thirds of the milk, curd a...

Lord Rabbi Sacks was a major religious Jewish figure. In this article, we examine his version of covenant-based communitarianism. We begin with exploring Sacks’ social communitarian view, and support politics. then turn to evaluate argue that while view is valuable important, political faces the same challenges troubled views, namely fact religious, value, ethnic plurality. One possible way for...