1.5∗ (A.Ostaszewski, email 9-92) Consider Telgarsky’s game G(T ) where T ⊆ 2. Player I plays a countable cover of T Player II chooses onesay Xn. Player I wins iff ∩{cl(Xn) : n ∈ ω} ⊆ T . It is known that (a) Player I has winning strategy iff T is analytic. (b) If there exists A an analytic subset of cl(T ) not Borel separated from T , then Player II has a winning strategy. Is the converse of (b...

We provide an elementary proof of a formula for the number of northeast lattice paths that lie in a certain region of the plane. Equivalently, this formula counts the lattice points inside the Pitman–Stanley polytope of an n-tuple. Suppose that on election day a TV news network of questionable morality wants to increase their viewership as polling results come in. While the reporters cannot con...

Contrast set mining has been developed as a data mining task which aims at discerning differences across groups. These groups can be patients, organizations, molecules, and even time-lines. A valid contrast set is a conjunction of attribute-value pairs that differ significantly in their distribution across groups. The search for valid contrast sets can produce a prohibitively large number of re...

This issue of Neurology ® : Neuroimmunology and Neu-roinflammation (N2) includes a wide variety of exciting articles. As usual, I had difficulty selecting the articles to highlight in this Editor's Corner, which is aimed to reflect the range of topics rather than imply a higher quality of the selected manuscripts. One of the treatments frequently used in neuro-myelitis optica (NMO) is rituximab...

The result is that academic research is perceived as irrelevant and incremental and is rarely read. It should come as no surprise that the academic review process is viewed as flawed. The evaluation and production of new ideas is, at best, an ill-structured problem, and market failure in this process is universally evident. For example, the television and film industries spend billions to devel...

Case 1.?Name Mahadeo Laxman, caste Hindu, age 35 years. History of dyspepsia of 5 years standing and symptoms pointing to the probability of previous gastric ulceration. For the last four months he has had persistent vomiting, sometimes four or five times a day. He says he is willing to have anything done to relieve his present wretched state. He was ̂ so weak when he entered the hospital that h...

Freakonomics is more about “entertainment” than it is a serious attempt at popularization. Consequently, rather than conduct a comprehensive fact check, I use the book as a springboard for a broader inquiry into social science research and take issue with the book’s surprising premise that “Economics is a science with excellent tools for gaining answers but a serious shortage of interesting que...

Many questions about homotopy are provably hard or even unsolvable in general. However, in specific settings, it is possible to efficiently test homotopyequivalence or compute shortest cycles with prescribed homotopy. We focus on computing such “interesting” topological features in three settings. The first two results are about cycles on surfaces; the third is about classes of homotopies in IR...

A known case of nephrotic syndrome aged 32 months was admitted to ICU because of loss of consciousness. In physical exam he had tachycardia, tachypnea and hypotension. Lab data showed metabolic alkalosis and hypoxia. In CXR, vascular cut off was seen in right lung and perfusion lung scan showed absence of perfusion in the right lung.Treatment was started with heparin and streptokinase, bu...