2,980 research outputs found
RESTAURANT AND SUPERMARKET LOBSTER PRICE PERCEPTIONS, RESPONSES, AND STRATEGIES
Consumer/Household Economics, Demand and Price Analysis,
A Covolume Method Based on Rotated Bilinears for the Generalized Stokes Problem
We introduce a covolume or marker and cell (MAC) method for approximating the generalized Stokes problem on an axiparallel domain. Two grids are needed, the primal grid made up of rectangles and the dual grid of quadrilaterals. The velocity is approximated by nonconforming rotated bilinear elements with degrees of freedom at midpoints of rectangular elements and the pressure by piecewise constants. The error in the velocity in the Hh norm and the pressure in the L2 norm are of first order, provided that the exact velocity is in H2 and the exact pressure in H1
mixing effects on charmonium and meson decays
We include the meson into the -- mixing formalism
constructed in our previous work, where represents the pseudoscalar
gluball. The mixing angles in this tetramixing matrix are constrained by
theoretical and experimental implications from relevant hadronic processes.
Especially, the angle between and is found to be about
from the measured decay widths of the meson. The pseudoscalar glueball
mass , the pseudoscalar densities and the U(1) anomaly
matrix elements associated with the mixed states are solved from the anomalous
Ward identities. The solution GeV obtained from the
-- mixing is confirmed, while grows to above the pion
mass, and thus increases perturbative QCD predictions for the branching ratios
. We then analyze the -mixing effects on charmonium
magnetic dipole transitions, and on the branching
ratios and CP asymmetries, which further improve the consistency between
theoretical predictions and data. A predominant observation is that the
mixing enhances the perturbative QCD predictions for
by 18%, but does not alter those for . The puzzle due to the
large data is then resolved.Comment: 12 pages, version to appear in PR
Saari's homographic conjecture for planar equal-mass three-body problem in Newton gravity
Saari's homographic conjecture in N-body problem under the Newton gravity is
the following; configurational measure \mu=\sqrt{I}U, which is the product of
square root of the moment of inertia I=(\sum m_k)^{-1}\sum m_i m_j r_{ij}^2 and
the potential function U=\sum m_i m_j/r_{ij}, is constant if and only if the
motion is homographic. Where m_k represents mass of body k and r_{ij}
represents distance between bodies i and j. We prove this conjecture for planar
equal-mass three-body problem.
In this work, we use three sets of shape variables. In the first step, we use
\zeta=3q_3/(2(q_2-q_1)) where q_k \in \mathbb{C} represents position of body k.
Using r_1=r_{23}/r_{12} and r_2=r_{31}/r_{12} in intermediate step, we finally
use \mu itself and \rho=I^{3/2}/(r_{12}r_{23}r_{31}). The shape variables \mu
and \rho make our proof simple
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Exploratory analysis using machine learning to predict for chest wall pain in patients with stage I non-small-cell lung cancer treated with stereotactic body radiation therapy.
Background and purposeChest wall toxicity is observed after stereotactic body radiation therapy (SBRT) for peripherally located lung tumors. We utilize machine learning algorithms to identify toxicity predictors to develop dose-volume constraints.Materials and methodsTwenty-five patient, tumor, and dosimetric features were recorded for 197 consecutive patients with Stage I NSCLC treated with SBRT, 11 of whom (5.6%) developed CTCAEv4 grade ≥2 chest wall pain. Decision tree modeling was used to determine chest wall syndrome (CWS) thresholds for individual features. Significant features were determined using independent multivariate methods. These methods incorporate out-of-bag estimation using Random forests (RF) and bootstrapping (100 iterations) using decision trees.ResultsUnivariate analysis identified rib dose to 1 cc < 4000 cGy (P = 0.01), chest wall dose to 30 cc < 1900 cGy (P = 0.035), rib Dmax < 5100 cGy (P = 0.05) and lung dose to 1000 cc < 70 cGy (P = 0.039) to be statistically significant thresholds for avoiding CWS. Subsequent multivariate analysis confirmed the importance of rib dose to 1 cc, chest wall dose to 30 cc, and rib Dmax. Using learning-curve experiments, the dataset proved to be self-consistent and provides a realistic model for CWS analysis.ConclusionsUsing machine learning algorithms in this first of its kind study, we identify robust features and cutoffs predictive for the rare clinical event of CWS. Additional data in planned subsequent multicenter studies will help increase the accuracy of multivariate analysis
Stochastic Lorentz forces on a point charge moving near the conducting plate
The influence of quantized electromagnetic fields on a nonrelativistic
charged particle moving near a conducting plate is studied. We give a
field-theoretic derivation of the nonlinear, non-Markovian Langevin equation of
the particle by the method of Feynman-Vernon influence functional. This
stochastic approach incorporates not only the stochastic noise manifested from
electromagnetic vacuum fluctuations, but also dissipation backreaction on a
charge in the form of the retarded Lorentz forces. Since the imposition of the
boundary is expected to anisotropically modify the effects of the fields on the
evolution of the particle, we consider the motion of a charge undergoing
small-amplitude oscillations in the direction either parallel or normal to the
plane boundary. Under the dipole approximation for nonrelativistic motion,
velocity fluctuations of the charge are found to grow linearly with time in the
early stage of the evolution at the rather different rate, revealing strong
anisotropic behavior. They are then asymptotically saturated as a result of the
fluctuation-dissipation relation, and the same saturated value is found for the
motion in both directions. The observational consequences are discussed. plane
boundary. Velocity fluctuations of the charge are found to grow linearly with
time in the early stage of the evolution at the rate given by the relaxation
constant, which turns out to be smaller in the parallel case than in the
perpendicular one in a similar configuration. Then, they are asymptotically
saturated as a result of the fluctuation-dissipation relation. For the
electron, the same saturated value is obtained for motion in both directions,
and is mainly determined by its oscillatory motion. Possible observational
consequences are discussed.Comment: 33 pages, 2 figure
Optimized Broadcast for Deep Learning Workloads on Dense-GPU InfiniBand Clusters: MPI or NCCL?
Dense Multi-GPU systems have recently gained a lot of attention in the HPC
arena. Traditionally, MPI runtimes have been primarily designed for clusters
with a large number of nodes. However, with the advent of MPI+CUDA applications
and CUDA-Aware MPI runtimes like MVAPICH2 and OpenMPI, it has become important
to address efficient communication schemes for such dense Multi-GPU nodes. This
coupled with new application workloads brought forward by Deep Learning
frameworks like Caffe and Microsoft CNTK pose additional design constraints due
to very large message communication of GPU buffers during the training phase.
In this context, special-purpose libraries like NVIDIA NCCL have been proposed
for GPU-based collective communication on dense GPU systems. In this paper, we
propose a pipelined chain (ring) design for the MPI_Bcast collective operation
along with an enhanced collective tuning framework in MVAPICH2-GDR that enables
efficient intra-/inter-node multi-GPU communication. We present an in-depth
performance landscape for the proposed MPI_Bcast schemes along with a
comparative analysis of NVIDIA NCCL Broadcast and NCCL-based MPI_Bcast. The
proposed designs for MVAPICH2-GDR enable up to 14X and 16.6X improvement,
compared to NCCL-based solutions, for intra- and inter-node broadcast latency,
respectively. In addition, the proposed designs provide up to 7% improvement
over NCCL-based solutions for data parallel training of the VGG network on 128
GPUs using Microsoft CNTK.Comment: 8 pages, 3 figure
The Stabilization of Superconductivity by Magnetic Field in Out-of-Equilibrium Nanowires
A systematic study has been carried out on the previously reported
"magnetic-field-induced superconductivity" of Zn nanowires. By varying
parameters such as magnetic field orientation and wire length, the results
provide evidence that the phenomenon is a nonequilibrium effect associated with
the boundary electrodes. They also suggest there are two length scales
involved, the superconducting coherence length and quasiparticle relaxation
length. As wire lengths approach either of these length scales, the effect
weakens. We demonstrate that it is appropriate to consider the effect to be a
stabilization of superconductivity, that has been suppressed by an applied
current.Comment: (Updated Version) 9 pages, 8 figure
Numerical evidences of spin-1/2 chain approaching spin-1 chain
In this article, we study the one dimensional Heisenberg spin-1/2 alternating
bond chain in which the nearest neighbor exchange couplings are ferromagnetic
(FM) and antiferromagnetic (AF) alternatively. By using exact diagonalization
and density matrix renormalization groups (DMRG) method, we discuss how the
system approaches to the AF uniform spin-1 chain under certain condition. When
the ratio of AF to FM coupling strength}
\textit{is very small, the physical quantities of the alternating bond chain
such as the spin-spin correlation, the string correlation function and the spin
density coincide with that of the AF uniform spin-1 chain. The edge state
problem is discussed in the present model with small}\textit{limit. In
addition, the Haldane gap of the AF uniform spin-1 chain is 4-times of the gap
of the system considered.Comment: 9pages,8page
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