The topological fundamental group π1(P \C0) is isomorphic to the binary 3-dihedral group D̃3 := 〈 α, β | α = β = (αβ) 〉 of order 12 (cf. [11] [4; Chapter 4, §4]). In [1], Abhyankar studied the complement of the three cuspidal quartic over an algebraically closed field k of arbitrary characteristics. He showed that, if char k 6= 2, 3, then the tame fundamental group of the complement is isomorphi...

We describe a process to provide registration of preoperative images to live intraoperative microscopic stereo feed, overlaying landmarks on the video feeds to give surgeons more visual information during surgeory. This method does not run close to real time(150-300ms), but offers better accuracy than other registration methods. This process can complement faster methods like template tracking ...

As previously reported (Pillot, Betz, Colombani, and Ripault, 1965), the Reiter Protein ComplementFixation (RPCF) test gives false positive reactions in 0 05 to 0 5 per cent. of cases as a consequence of an antipolysaccharide antibody present in the serum of some individuals. Since, during the years 1960-67, we have performed this test routinely on every patient hospitalized in our clinic, we h...

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Most approaches to detecting changes in functional brain images assume that activations are focal or very localized. However, the brain's response to cognitive of sensorimotor challenge may be spatially or anatomically distributed. In this paper we consider the usefulness of a test based on the mean sum of squares of statistical parametric maps. The performance of this test is evaluated using s...

By using Krasnoselskii's fixed point theorem, we study the existence of at least one or two positive solutions to a system of fractional boundary value problems given by -D(0+)(ν1)y1(t) = λ1a1(t)f(y1(t), y2(t)), - D(0+)(ν2)y2(t) = λ2a2(t)g(y1(t), y2(t)), where D(0+)(ν) is the standard Riemann-Liouville fractional derivative, ν1, ν2 ∈ (n - 1, n] for n > 3 and n ∈ N, subject to the boundary condi...

We study occupation time statistics in ergodic continuous-time random walks. Under thermal detailed balance conditions, the average occupation time is given by the Boltzmann-Gibbs canonical law. But close to the nonergodic phase, the finite-time fluctuations around this mean are large and nontrivial. They exhibit dual time scaling and distribution laws: the infinite density of large fluctuation...

Women’s involvement in fisheries is more significant than often assumed. according to current estimates from nine major fish producing countries, they comprise 46% of the labor force in smallscale capture fisheries-related activities, including preand post-harvesting work. Their current engagement is shaped by rapidly dwindling fisheries stocks on one hand, and the increased global demand for f...

We identify the phase-space structures that regulate atomic double ionization in strong ultrashort laser pulses. The emerging dynamical picture complements the recollision scenario by clarifying the distinct roles played by the recolliding and core electrons, and leads to verifiable predictions on the characteristic features of the "knee", a hallmark of the nonsequential process.