Abstract:
In this paper, we study the single top and Higgs associated production $pp \to thj$ in the presence of top-Higgs FCNC couplings($\kappa_{tqh}, q=u,c$) at the LHC. Under the current constraints, we find that the cross section of $pp \to thj$ can be sizably enhanced in comparison with the SM predictions at 8 and 14 TeV LHC. We also find that the full cross section of $pp \to thj$ with $\kappa_{tch}$ is larger than the resonant cross section of $pp \to t\bar{t} \to thj$ by a factor 1.16 at 8 TeV LHC and 1.12 at 14 TeV LHC, respectively. We further explore the observability of top-Higgs FCNC couplings through $pp \to t(\to b\ell^{+} \nu_{\ell}) h( \to \gamma\gamma) j$ and find that the branching ratios $Br(t\to qh)$, $Br(t \to uh)$ and $Br(t \to ch)$ can be respectively probed to $0.12\%,~0.23\%$ and $~0.26\%$ at $3\sigma$ sensitivity at 14 TeV LHC with ${\cal L} =3000$ fb$^{-1}$.

Abstract:
In this paper, we consider an incompressible viscous flow without surface tension in a finite-depth domain of three dimensions, with free top boundary and fixed bottom boundary. This system is governed by a Naiver-Stokes equation in above moving domain and a transport equation for the top boundary. Traditionally, we consider this problem in Lagrangian coordinates with perturbed linear form. In the series of papers [1], [2] and [3], I. Tice and Y. Guo introduced a new framework using geometric structure in Eulerian coordinates to study both local and global wellposedness of this system. Following this path, we extend their result in local wellposedness from small data case to arbitrary data case. Also, we give a simpler proof for global wellposedness in infinite domain. Other than the geometric energy estimates, time-dependent Galerkin method, and interpolation estimate with Riesz potential and minimum count, which are introduced in these papers, we utilize three new techniques: (1) using \epsilon-Poisson integral to construct a diffeomorphism between fixed domain and moving domain; (2) using bootstrapping argument to prove a comparison result for steady Navier-Stokes equation for arbitrary data of free surface; (3) redefining the energy and dissipation to replace the original complicated bootstrapping argument to show interpolation estimate.

Abstract:
We consider the diffusive limit of an unsteady neutron transport equation in a two-dimensional plate with one-speed velocity. We show the solution can be approximated by the sum of interior solution, initial layer, and boundary layer with geometric correction. Also, we construct a counterexample to the classical theory in \cite{Bensoussan.Lions.Papanicolaou1979} which states the behavior of solution near boundary can be described by the Knudsen layer derived from the Milne problem.

Abstract:
We consider the hydrodynamic limit of a stationary Boltzmann equation in a unit plate with in-flow boundary. We prove the solution can be approximated in $L^{\infty}$ by the sum of interior solution which satisfies steady incompressible Navier-Stokes-Fourier system, and boundary layer with geometric correction. Also, we construct a counterexample to the classical theory which states the behavior of solution near boundary can be described by the Knudsen layer derived from the Milne problem.

Abstract:
We prove a surjectivity theorem for the Deligne canonical extension of a polarizable variation of Hodge structure with quasi-unipotent monodromy at infinity along the lines of Esnault-Viehweg. We deduce from it several injectivity theorems and vanishing theorems for pure Hodge modules. We also give an inductive proof of Kawamata-Viehweg vanishing for the lowest graded piece of the Hodge filtration of a pure Hodge module using mixed Hodge modules of nearby cycles.

Abstract:
We consider an incompressible viscous flow without surface tension in a finite- depth domain of three dimension, with free top boundary. This system is governed by a Naiver-Stokes equation in a moving domain and a transport equation for the top boundary. Traditionally, we consider this problem in Lagrangian coordinate and perturbed linear form. In [1], I. Tice and Y. Guo introduced a new framework using geometric structure in Eulerian coordinate to study both local and global wellposedness of this system. Following this path, we extend their result in local wellposedness from small data case to arbitrary data case. Other than the geometric energy estimate and time-dependent Galerkin method introduced in [1], we utilize a few new techniques: (1) using parameterized Poisson integral to construct a nontrivial transform between fixed domain and moving domain; (2) using bootstrapping argument to prove a comparison result for steady Navier-Stokes equation for arbitrary data of free surface.

Abstract:
A new versatile optimization, the particle
swarm optimization based on multi-agent system (MAPSO) is presented. The
economic load dispatch (ELD) problem of power system can be solved by the
algorithm. By competing and cooperating with the randomly selected neighbors,
and adjusting its global searching ability and local exploring ability, this
algorithm achieves the goal of high convergence precision and speed. To verify
the effectiveness of the proposed algorithm, this algorithm is tested by three
different ELD cases, including 3, 13 and 40 units IEEE cases, and the
experiment results are compared with those tested by other intelligent
algorithms in the same cases. The compared results show that feasible solutions
can be reached effectively, local optima can be avoided and faster solution can
be applied with the proposed algorithm, the algorithm for ELD problem is
versatile and efficient.

Abstract:
In this paper, the efficient population
utilization strategy for particle swarm optimization (EPUSPSO) is proposed to
solve the economic load dispatch (ELD) problem of power system. This algorithm
improves the accuracy and the speed of its convergence by changing the number
of particles effectively, and improving the velocity equation and position
equation. In order to verify the effectiveness of the algorithm, this
algorithm is tested in three different ELD cases of power system include IEEE
3-unit case, 13-unit case, and 40-unit case, and the obtained results are
compared with those obtained from other algorithms using the same system
parameters. The compared results show that the algorithm can find the optimal
solution effectively and accurately, and avoid falling into the local optimal
problem; meanwhile, faster speed can be ensured in the case.

Abstract:
This paper studies the algorithms for coding and decoding Prufer codes of a labeled tree. The algorithms for coding and decoding Prufer codes of a labeled tree in the literatures require time usually. Although there exist linear time algorithms for Prufer-like codes [1,2,3], the algorithms utilize the integer sorting algorithms. The special range of the integers to be sorted is utilized to obtain a linear time integer sorting algorithm. The Prufer code problem is reduced to integer sorting. In this paper we consider the Prufer code problem in a different angle and a more direct manner. We start from a naïve algorithm, then improved it gradually and finally we obtain a very practical linear time algorithm. The techniques we used in this paper are of interest in their own right.

Abstract:
Objectives: To present the effect of intravitreal ranibizumab (IVR) therapy combined with sulfotanshinone sodium (SS) injection in a patient suffering from type II optic disc vasculitis (ODV). Methods: A 26-year-old female patient was diagnosed with type II ODV with macular edema (ME). The information was obtained by complete medical and ophthalmic history taking and a detailed ophthalmic examination at the initial and follow-up visits. Functional and morphological outcomes at baseline, 1 week and 1 month following IVR+SS injections, are presented. Results: Best-corrected visual acuity (BCVA) improved from 78 letters (ETDRS) at baseline to 90 letters at 1-week follow-up and maintained stable through 1-month follow-up. Central retinal thickness (CRT) measured by optical coherence tomography (OCT) decreased from 465 μm at baseline to 240 μm at 1-week follow-up and to 226 μm at 1-month follow-up. Mean deviation (MD) measured by perimetry increased from ?5.17 dB to ?4.59 dB and to ?4.29 dB, respectively. Fluorescein angiography (FFA) showed that the initial macular edema at baseline disappeared while the arm-retina circulation time (ART) was also greatly shortened when compared to the baseline. Electroretinogram (ERG) measured at 1-month follow-up demonstrated an overall improvement of the retinal function after the injection. No ocular or systemic side effects were detected. Conclusions: IVR+SS injection may lead to resolution of the associated ME and improve the retina morphologically as well as functionally. To our knowledge, this is the first case of a type II ODV benefiting from treatment with IVR+SS injection. The observed results warrant further investigation.