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A trajectory is a sequence of observations in time and space, for examples, the path formed by maritime vessels, orbital debris, or aircraft. It is important to track and reconstruct vessel trajectories using the Automated Identification System (AIS) data in real-world applications for maritime navigation safety. In this project, we use the National Science Foundation (NSF)'s Algorithms for Threat Detection program (ATD) 2019 Challenge AIS data to develop novel trajectory reconstruction method. Given a sequence ofNunlabeled timestamped observations, the goal is to track trajectories by clustering the AIS points with predicted positions using the information from the true trajectoriesΧ. It is a natural way to connect the observed pointx_îwith the closest point that is estimated by using the location, time, speed, and angle information from a set of the points under considerationx_i∀i∈ {1, 2, …,N}. The introduced method is an unsupervised clustering-based method that does not train a supervised model which may incur a significant computational cost, so it leads to a real-time, reliable, and accurate trajectory reconstruction method. Our experimental results show that the proposed method successfully clusters vessel trajectories. 

Abstract We describe the discovery of an unspecific peroxygenase (UPO) variant that catalyzes the remote‐site functionalization of halogenated and unsaturated hydrocarbons with high catalytic site‐specificity. UPOs are fungal heme‐thiolate biocatalysts with wide‐ranging oxidative activities, including C─H bond oxygenation, usually with limited regioselectivity. We describe here a wild‐type MroUPO, newly isolated in high yield from a previously uncharacterized strain ofMarasmius rotula. This variant, MroUPO‐TN, catalyzes the selective oxygenation of a range of haloalkanes, cyclic haloalkanes and cyclic olefins to generate useful remote‐site haloketones. The regioselectivity for eight‐membered rings reaches 99% with significant enantiomeric excess. Mechanistic studies performed with deuterated substrates and¹⁸O‐labeling experiments have revealed a synergy between intrinsic substrate properties and the highly aliphatic, heme active site. The observed selectivity offers routes to new and useful, bifunctional synthons and pharmacophores, thus providing practical ways to employ these natural and environmentally benign biocatalysts. 

The nanoscopic deformation of ⟨111⟩ nanotwinned copper nanopillars under strain rates between 10^−5/s and 5×10^−4/s was studied by using in situ transmission electron microscopy. The correlation among dislocation activity, twin boundary instability due to incoherent twin boundary migration and corresponding mechanical responses was investigated. Dislocations piled up in the nanotwinned copper, giving rise to significant hardening at relatively high strain rates of 3–5×10^−4/s. Lower strain rates resulted in detwinning and reduced hardening, while corresponding deformation mechanisms are proposed based on experimental results. At low/ultralow strain rates below 6×10^−5/s, dislocation activity almost ceased operating, but the migration of twin boundaries via the 1/4 ⟨10-1⟩ kink-like motion of atoms is suggested as the detwinning mechanism. At medium strain rates of 1–2×10^−4/s, detwinning was decelerated likely due to the interfered kink-like motion of atoms by activated partial dislocations, while dislocation climb may alternatively dominate detwinning. These results indicate that, even for the same nanoscale twin boundary spacing, different nanomechanical deformation mechanisms can operate at different strain rates. 

We consider the initial boundary value problem of a simplified nematic liquid crystal flow in a bounded, smooth domain $$\Omega\subset\mathbb R^2$$. Given any k distinct points in the domain, we develop a new inner-outer gluing method to construct solutions that blow up exactly at those k points as t goes to a finite time T. Moreover, we obtain a precise description of the blowup