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Dysphagia complicates both idiopathic Parkinson's disease (IPD) and drug-induced parkinsonism (DIP). Although parkinsonism of DIP and IPD are often clinically indistinguishable, there is no assurance that their abnormalities of swallowing will be similar. We evaluated a patient with DIP who complained of difficulty chewing and swallow initiation. The(More)
In this paper, we present a randomized algorithm to compute the bisection width of cubic and 4-regular graphs. The analysis of the proposed algorithms on random graphs provides asymptotic upper bounds for the bisection width of random cubic and random 4-regular graphs with n vertices, giving upper bounds of 0:174039n for random cubic, and of 0:333333n for(More)
The Witten–Kontsevich theorem states that a certain generating function for intersection numbers on the moduli space of stable curves is a tau-function for the KdV integrable hierarchy. This generating function can be recovered via the topological recursion applied to the Airy curve x = 1 2 y 2. In this paper, we consider the topological recursion applied(More)
In his superb article entitled “The two cultures of mathematics” [4], Fields medallist Tim Gowers writes on the ever more prevalent dichotomy between mathematicians who are primarily problem-solvers and those who are primarily theory-builders. In particular, he defends the currently less fashionable problem-solving areas, such as combinatorics, and proposes(More)
Undoubtedly one of the most popular pencil and paper games in the world is tic-tac-toe, also commonly known as noughts and crosses. The game has a longstanding history in many cultures across the globe. It has been posited that it may even have been played under the name of “terni lapilli” in Ancient Rome, where examples of the tic-tac-toe grid have been(More)