4,573 research outputs found
Inequalities of Hermite-Hadamard type for extended -convex functions and applications to means
In the paper, the authors introduce a new concept "extended -convex
functions", establish some new integral inequalities of Hermite-Hadamard type
for this kind of functions, and apply these inequalities to derive some
inequalities of special means.Comment: 17 page
Boundary-Aware Network for Fast and High-Accuracy Portrait Segmentation
Compared with other semantic segmentation tasks, portrait segmentation
requires both higher precision and faster inference speed. However, this
problem has not been well studied in previous works. In this paper, we propose
a lightweight network architecture, called Boundary-Aware Network (BANet) which
selectively extracts detail information in boundary area to make high-quality
segmentation output with real-time( >25FPS) speed. In addition, we design a new
loss function called refine loss which supervises the network with image level
gradient information. Our model is able to produce finer segmentation results
which has richer details than annotations
Antiferromagnetism of Repulsively Interacting Fermions in a harmonic trap
We propose a Real-Space Gutzwiller variational approach and apply it to a
system of repulsively interacting ultracold fermions with spin 1/2 trapped in
an optical lattice with a harmonic confinement. Using the Real-Space Gutzwiller
variational approach, we find that in system with balanced spin-mixtures on a
square lattice, antiferromagnetism either appears in a checkerboard pattern or
forms a ring and antiferromagnetic order is stable in the regions where the
particle density is close to one, which is consistent with the recent results
obtained by the Real-Space Dynamical Mean-field Theory approach. We also
investigate the imbalanced case and find that antiferromagnetic order is
suppressed there
Trigonometric protocols for shortcuts to adiabatic transport of cold atoms in anharmonic traps
Shortcuts to adiabaticity have been proposed to speed up the "slow" adiabatic
transport of an atom or a wave packet of atoms. However, the freedom of the
inverse engineering approach with appropriate boundary conditions provides
thousands of trap trajectories for different purposes, for example, time and
energy minimizations. In this paper, we propose trigonometric protocols for
fast and robust atomic transport, taking into account cubic or quartic
anharmonicities. The numerical results have illustrated that such trigonometric
protocols, particular cosine ansatz, is more robust and the corresponding final
energy excitation is smaller, as compared to sine trajectories implemented in
previous experiments.Comment: 5 pages, 5 figure
U(2) algebraic model applied to stretching vibrational spectra of tetrahedral molecules
The highly excited stretching vibrational energy levels and the intensities
of infrared transitions in tetrahedral molecules are studied in a U(2)
algebraic model. Its applications to silane and silicon tetrafluoride are
presented with smaller standard deviations than those of other models.Comment: Revtex, 6 pages, no figure, to appear in Int. J. Theor. Phy
Fast and optimal transport of atoms with non-harmonic traps
We investigate the fast transport of an atom or a packet of atoms by
different kinds of non-harmonic traps including power-law traps. The study is
based on the reverse engineering method. Exact results are obtained and applied
to design robust transport protocols. The optimization of the transport
trajectory is performed with classical trajectories, and remains valid for the
transport of a wave packet.Comment: 7 pages, 4 figure
Double-periodic quasi-periodic graphene superlattice: non-Bragg band gap and electronic transport
Electronic band gap and transport in quasi-periodic graphene superlattice of
double-periodic sequence have been investigated. It is found that such
quasi-periodic structure can possess a zero-averaged wave number
(zero-) gap which associated with an unusual Dirac point. Different
from Bragg gap, the zero- gap is less sensitive to the incidence
angle, and robust against the lattice constants. The locations of Dirac point
and multi-Dirac-points in the graphene superlattices of various sequences are
also compared. The control of electron transport over the zero- band
gap in graphene superlattice may facilitate the development of many
graphene-based electronics.Comment: 8 pages, 11 figure
Hermite-Hadamard type integral inequalities for functions whose first derivatives are of convexity
In the paper, the authors establish some new Hermite-Hadamard type
inequalities for functions whose first derivatives are of convexity and apply
these inequalities to construct inequalities of special means.Comment: 18 page
Irreducible bases in icosahedral group space
The irreducible bases in the icosahedral group space are calculated
explicitly by reducing the regular representation. The symmetry adapted bases
of the system with {\bf I} or {\bf I} symmetry can be calculated easily
and generally by applying those irreducible bases to wavefunctions of the
system, if they are not vanishing. As examples, the submatrices of the
H\"{u}ckel Hamiltonians for Carbon-60 and Carbon-240 are re-calculated by the
irreducible bases.Comment: Revtex 16 page
Correlations of spin states for icosahedral double group
The irreducible bases of the group space of the icosahedral double groups
{\bf I'} and {\bf I} are calculated explicitly. Applying those bases on
the spin states , we present a simple formula to combine the spin
states into the symmetrical adapted bases, belonging to a given row of a given
irreducible representations of {\bf I'} and {\bf I}.Comment: latex file 11 pages, send the figure to person who wants to need,
submitted to Chemical Phys. Lette
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