398,441 research outputs found

### Massive Domain Wall Fermions on Four-dimensional Anisotropic Lattices

We formulate the massive domain wall fermions on anisotropic lattices.
For the massive domain wall fermion, we find that the dispersion relation
assumes the usual form in the low momentum region when the bare parameters are
properly tuned. The quark self-energy and the quark field renormalization
constants are calculated to one-loop in bare lattice perturbation theory. For
light domain wall fermions, we verified that the chiral mode is stable against
quantum fluctuations on anisotropic lattices. This calculation serves as a
guidance for the tuning of the parameters in the quark action in future
numerical simulations.Comment: 36 pages, 14 figures, references adde

### $T$-adic exponential sums of polynomials in one variable

The $T$-adic exponential sum of a polynomial in one variable is studied. An
explicit arithmetic polygon in terms of the highest two exponents of the
polynomial is proved to be a lower bound of the Newton polygon of the
$C$-function of the T-adic exponential sum. This bound gives lower bounds for
the Newton polygon of the $L$-function of exponential sums of $p$-power order

### Towards Accurate and High-Speed Spiking Neuromorphic Systems with Data Quantization-Aware Deep Networks

Deep Neural Networks (DNNs) have gained immense success in cognitive
applications and greatly pushed today's artificial intelligence forward. The
biggest challenge in executing DNNs is their extremely data-extensive
computations. The computing efficiency in speed and energy is constrained when
traditional computing platforms are employed in such computational hungry
executions. Spiking neuromorphic computing (SNC) has been widely investigated
in deep networks implementation own to their high efficiency in computation and
communication. However, weights and signals of DNNs are required to be
quantized when deploying the DNNs on the SNC, which results in unacceptable
accuracy loss. %However, the system accuracy is limited by quantizing data
directly in deep networks deployment. Previous works mainly focus on weights
discretize while inter-layer signals are mainly neglected. In this work, we
propose to represent DNNs with fixed integer inter-layer signals and
fixed-point weights while holding good accuracy. We implement the proposed DNNs
on the memristor-based SNC system as a deployment example. With 4-bit data
representation, our results show that the accuracy loss can be controlled
within 0.02% (2.3%) on MNIST (CIFAR-10). Compared with the 8-bit dynamic
fixed-point DNNs, our system can achieve more than 9.8x speedup, 89.1% energy
saving, and 30% area saving.Comment: 6 pages, 4 figure

### Scalar and Tensor Glueballs on Asymmetric Coarse Lattices

Scalar and tensor glueball spectrum is studied using an improved gluonic
action on asymmetric lattices in the pure SU(3) gauge theory. The smallest
spatial lattice spacing is about 0.08fm which makes the extrapolation to the
continuum limit more reliable. In particular, attention is paid to the scalar
glueball mass which is known to have problems in the extrapolation. Converting
our lattice results to physical units using the scale set by the static quark
potential, we obtain the following results for the glueball masses:
$M_G(0^{++})=1730(90)MeV$ for the scalar glueball mass and
$M_G(2^{++})=2400(95)MeV$ for the tensor glueball.Comment: Lattice 2000 (Spectrum), 5 pages, 2 figures, 2 references adde

### The development of sensors and techniques for in situ water quality monitoring

Enzyme electrodes and chloride ion electrodes were investigated for in situ monitoring of water quality. Preliminary results show that miniature chloride ion electrodes and a phenol sensor are most promising in determining trace contaminants in water

### Representations and classification of traveling wave solutions to Sinh-G{\"o}rdon equation

Two concepts named atom solution and combinatory solution are defined. The
classification of all single traveling wave atom solutions to Sinh-G{\"o}rdon
equation is obtained, and qualitative properties of solutions are discussed. In
particular, we point out that some qualitative properties derived intuitively
from dynamic system method aren't true. In final, we prove that our solutions
to Sinh-G{\"o}rdon equation include all solutions obtained in the paper[Fu Z T
et al, Commu. in Theor. Phys.(Beijing) 2006 45 55]. Through an example, we show
how to give some new identities on Jacobian elliptic functions.Comment: 12 pages. accepted by Communications in theoretical physics (Beijing

### A Numerical Study of Improved Quark Actions on Anisotropic Lattices

Tadpole improved Wilson quark actions with clover terms on anisotropic
lattices are studied numerically.
Using asymmetric lattice volumes, the pseudo-scalar meson dispersion
relations are measured for 8 lowest lattice momentum modes with quark mass
values ranging from the strange to the charm quark with various values of the
gauge coupling $\beta$ and 3 different values of the bare speed of light
parameter $\nu$. These results can be utilized to extrapolate or interpolate to
obtain the optimal value for the bare speed of light parameter $\nu_{opt}(m)$
at a given gauge coupling for all bare quark mass values $m$. In particular,
the optimal values of $\nu$ at the physical strange and charm quark mass are
given for various gauge couplings.
The lattice action with these optimized parameters can then be used to study
physical properties of hadrons involving either light or heavy quarks.Comment: 22 pages, 7 figures, 2 tables. Analysis greatly modified compared
with previous versio

### Overall properties of the Gaia DR1 reference frame

We compare quasar positions of the auxiliary quasar solution with ICRF2
sources using different samples and evaluate the influence on the {\it Gaia}
DR1 reference frame owing to the Galactic aberration effect over the
J2000.0-J20015.0 period. Then we estimate the global rotation between TGAS with
{\it Tycho}-2 proper motion systems to investigate the property of the {\it
Gaia} DR1 reference frame. Finally, the Galactic kinematics analysis using the
K-M giant proper motions is performed to understand the property of {\it Gaia}
DR1 reference frame. The positional comparison between the auxiliary quasar
solution and ICRF2 shows negligible orientation and validates the declination
bias of $\sim$$-0.1$\mas~in {\it Gaia} quasar positions with respect to ICRF2.
Galactic aberration effect is thought to cause an offset $\sim$$0.01$\mas~of
the $Z$ axis direction of {\it Gaia} DR1 reference frame. The global rotation
between TGAS and {\it Tycho}-2 proper motion systems, obtained by different
samples, shows a much smaller value than the claimed value $0.24$\masyr. For
the Galactic kinematics analysis of the TGAS K-M giants, we find possible
non-zero Galactic rotation components beyond the classical Oort constants: the
rigid part $\omega_{Y_G} = -0.38 \pm 0.15$\masyr~and the differential part
$\omega^\prime_{Y_G} = -0.29 \pm 0.19$\masyr~around the $Y_G$ axis of Galactic
coordinates, which indicates possible residual rotation in {\it Gaia} DR1
reference frame or problems in the current Galactic kinematical model.Comment: 6 pages, 1 figure. Accepted for publication in A&

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