16,308 research outputs found
Association schemes from the action of fixing a nonsingular conic in PG(2,q)
The group has an embedding into such that it acts as
the group fixing a nonsingular conic in . This action affords a
coherent configuration on the set of non-tangent lines of the
conic. We show that the relations can be described by using the cross-ratio.
Our results imply that the restrictions and to the sets
of secant lines and to the set of exterior lines,
respectively, are both association schemes; moreover, we show that the elliptic
scheme is pseudocyclic.
We further show that the coherent configuration with even allow
certain fusions. These provide a 4-class fusion of the hyperbolic scheme
, and 3-class fusions and 2-class fusions (strongly regular graphs)
of both schemes and $R_{-}(q^2). The fusion results for the
hyperbolic case are known, but our approach here as well as our results in the
elliptic case are new.Comment: 33 page
Single-particle subband structure of Quantum Cables
We proposed a model of Quantum Cable in analogy to the recently synthesized
coaxial nanocable structure [Suenaga et al. Science, 278, 653 (1997); Zhang et
al. ibid, 281, 973 (1998)], and studied its single-electron subband structure.
Our results show that the subband spectrum of Quantum Cable is different from
either double-quantum-wire (DQW) structure in two-dimensional electron gas
(2DEG) or single quantum cylinder. Besides the double degeneracy of subbands
arisen from the non-abelian mirrow reflection symmetry, interesting
quasicrossings (accidental degeneracies), anticrossings and bundlings of
Quantum Cable energy subbands are observed for some structure parameters. In
the extreme limit (barrier width tends to infinity), the normal degeneracy of
subbands different from the DQW structure is independent on the other structure
parameters.Comment: 12 pages, 9 figure
Quantum Cable as transport spectroscopy of 1D DOS of cylindrical quantum wires
We considered the proposed Quantum Cable as a kind of transport spectroscopy
of one-dimensional (1D) density of states (DOS) of cylindrical quantum wires.
By simultaneously detecting the direct current through the cylindrical quantum
wire and the leaked tunneling current into the neighboring wire at desired
temperatures, one can obtain detailed information about 1D DOS and subband
structure of cylindrical quantum wires.Comment: 7 pages, 4 figures, late
Regularizing Face Verification Nets For Pain Intensity Regression
Limited labeled data are available for the research of estimating facial
expression intensities. For instance, the ability to train deep networks for
automated pain assessment is limited by small datasets with labels of
patient-reported pain intensities. Fortunately, fine-tuning from a
data-extensive pre-trained domain, such as face verification, can alleviate
this problem. In this paper, we propose a network that fine-tunes a
state-of-the-art face verification network using a regularized regression loss
and additional data with expression labels. In this way, the expression
intensity regression task can benefit from the rich feature representations
trained on a huge amount of data for face verification. The proposed
regularized deep regressor is applied to estimate the pain expression intensity
and verified on the widely-used UNBC-McMaster Shoulder-Pain dataset, achieving
the state-of-the-art performance. A weighted evaluation metric is also proposed
to address the imbalance issue of different pain intensities.Comment: 5 pages, 3 figure; Camera-ready version to appear at IEEE ICIP 201
Phase structures of strong coupling lattice QCD with overlap fermions at finite temperature and chemical potential
We perform the first study of lattice QCD with overlap fermions at finite
temperature and chemical potential . We start from the Taylor expanded
overlap fermion action, and derive in the strong coupling limit the effective
free energy by mean field approximation. On the () plane and in the
chiral limit, there is a tricritical point, separating the second order chiral
phase transition line at small and large , and first order chiral
phase transition line at large and small
Ballistic electronic transport in Quantum Cables
We studied theoretically ballistic electronic transport in a proposed
mesoscopic structure - Quantum Cable. Our results demonstrated that Qauntum
Cable is a unique structure for the study of mesoscopic transport. As a
function of Fermi energy, Ballistic conductance exhibits interesting stepwise
features. Besides the steps of one or two quantum conductance units (),
conductance plateaus of more than two quantum conductance units can also be
expected due to the accidental degeneracies (crossings) of subbands. As
structure parameters is varied, conductance width displays oscillatory
properties arising from the inhomogeneous variation of energy difference
betweeen adjoining transverse subbands. In the weak coupling limits,
conductance steps of height becomes the first and second plateaus for
the Quantum Cable of two cylinder wires with the same width.Comment: 11 pages, 5 figure
How leveraged buyout influences the competitiveness of state-owned firms
2002-2003 > Academic research: refereed > Publication in refereed journalVersion of RecordPublishe
Proofs of two conjectures on ternary weakly regular bent functions
We study ternary monomial functions of the form f(x)=\Tr_n(ax^d), where
x\in \Ff_{3^n} and \Tr_n: \Ff_{3^n}\to \Ff_3 is the absolute trace
function. Using a lemma of Hou \cite{hou}, Stickelberger's theorem on Gauss
sums, and certain ternary weight inequalities, we show that certain ternary
monomial functions arising from \cite{hk1} are weakly regular bent, settling a
conjecture of Helleseth and Kholosha \cite{hk1}. We also prove that the
Coulter-Matthews bent functions are weakly regular.Comment: 20 page
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