Let B and R be point sets (of blue and red points, respectively) in the plane, such that P := B ∪R is in general position, and |P | is even. A line l is balanced if it spans one blue and one red point, and on each open halfplane of l, the number of blue points minus the number of red points is the same. We prove that P has at least min{|B|, |R|} balanced lines. This refines a result by Pach and...

M. Hirsch and independently H. Glover have shown that a closed ¿-connected smooth «-manifold M embeds in R2n~> if Mo immerses in A*""*-1, jè2k and 2/gra — 3. Here Mo denotes M minus the interior of a smooth disk. In this note we prove the converse and show also that the isotopy classes of embeddings of M in i?a"-»' are in one-one correspondence with the regular homotopy classes of immersions of...

We study complete minimal graphs in IH × IR, which take asymptotic boundary values plus and minus infinity on alternating sides of an ideal inscribed polygon Γ in IH. We give necessary and sufficient conditions on the ”lenghts” of the sides of the polygon (and all inscribed polygons in Γ) that ensure the existence of such a graph. We then apply this to construct entire minimal graphs in IH× IR ...

BACKGROUND We conducted a placebo-controlled trial of azithromycin therapy in bronchiolitis obliterans syndrome (BOS) post lung transplantation. METHODS We compared azithromycin (250 mg alternate days, 12 weeks) with placebo. Primary outcome was FEV1 change at 12 weeks. RESULTS 48 patients were randomised; (25 azithromycin, 23 placebo). It was established, post randomisation that two did no...

Since adenosine is present in normal brain tissue and cerebrosipinal fluid and since it dilates the pial vessels, it is possible that adenosine, in addition to H-+, is also a mediator of the metabolic regulation of cerebral blood flow. Evidence supporting this hypothesis was obtained under various experimental conditions characterized by achange in brain oxygen supply. The brain was frozen in...

A function f : V → {−1, 0, 1} is a minus-domination function of a graph G = (V,E) if the values over the vertices in each closed neighborhood sum to a positive number. The weight of f is the sum of f(x) over all vertices x ∈ V. The minus-domination number γ(G) is the minimum weight over all minus-domination functions. The size of a minus domination is the number of vertices that are assigned 1....

We studied the renal function and the intrarenal blood flow of nine dogs whose thoracic inferior vena cava had been previously ligated (caval dogs) and nine other dogs. Following preparative surgery which included placement of a left atrial catheter, a femoral artery catheter, and bilateral ureteral catheters, the caval dogs gained an average of 2.1 kg of fluid weight, whereas the normal dogs g...

We evaluated the effects of hemodilution, expansion of intravascular volume, and expansion of interstitial volume on the distribution of cortical renal blood flow, utilizing the microsphere technique. Hemodilution without volume expansion (saline exchange) produced an increase in fractional blood flow in zone 1 (outermost zone) of the cortex from 34 plus or minus 1% to 43 plus or minus 2% and a...