12,295 research outputs found
An Optimal Algorithm for the Maximum-Density Segment Problem
We address a fundamental problem arising from analysis of biomolecular
sequences. The input consists of two numbers and and a
sequence of number pairs with . Let {\em segment}
of be the consecutive subsequence of between indices and
. The {\em density} of is
. The {\em maximum-density
segment problem} is to find a maximum-density segment over all segments
with . The best
previously known algorithm for the problem, due to Goldwasser, Kao, and Lu,
runs in time. In the present paper, we solve
the problem in O(n) time. Our approach bypasses the complicated {\em right-skew
decomposition}, introduced by Lin, Jiang, and Chao. As a result, our algorithm
has the capability to process the input sequence in an online manner, which is
an important feature for dealing with genome-scale sequences. Moreover, for a
type of input sequences representable in space, we show how to
exploit the sparsity of and solve the maximum-density segment problem for
in time.Comment: 15 pages, 12 figures, an early version of this paper was presented at
11th Annual European Symposium on Algorithms (ESA 2003), Budapest, Hungary,
September 15-20, 200
Angle Dependence of Landau Level Spectrum in Twisted Bilayer Graphene
In the context of the low energy effective theory, the exact Landau level
spectrum of quasiparticles in twisted bilayer graphene with small twist angle
is analytically obtained by spheroidal eigenvalues. We analyze the dependence
of the Landau levels on the twist angle to find the points, where the two-fold
degeneracy for twist angles is lifted in the nonzero modes and below/above
which massive/massless fermion pictures become valid. In the perpendicular
magnetic field of 10\,T, the degeneracy is removed at %angles around 3 degrees for a few low levels, specifically,
for the first pair of nonzero levels and
for the next pair. Massive quasiparticle
appears at in 10\,T, %angles less
than 1.17 degrees. which match perfectly with the recent experimental results.
Since our analysis is applicable to the cases of arbitrary constant magnetic
fields, we make predictions for the same experiment performed in arbitrary
constant magnetic fields, e.g., for B=40\,T we get and the sequence of angles for the pairs of nonzero energy levels. The symmetry restoration
mechanism behind the massive/massless transition is conjectured to be a
tunneling (instanton) in momentum space.Comment: 8 pages, 7 figures, version to appear in PR
A Nonrelativistic Chiral Soliton in One Dimension
I analyze the one-dimensional, cubic Schr\"odinger equation, with
nonlinearity constructed from the current density, rather than, as is usual,
from the charge density. A soliton solution is found, where the soliton moves
only in one direction. Relation to higher-dimensional Chern--Simons theory is
indicated. The theory is quantized and results for the two-body quantum problem
agree at weak coupling with those coming from a semiclassical quantization of
the soliton.Comment: 11 pages, Latex2
Catecholamine stress alters neutrophil trafficking and impairs wound healing by β2-adrenergic receptor-mediated upregulation of IL-6.
Stress-induced hormones can alter the inflammatory response to tissue injury; however, the precise mechanism by which epinephrine influences inflammatory response and wound healing is not well defined. Here we demonstrate that epinephrine alters the neutrophil (polymorphonuclear leukocyte (PMN))-dependent inflammatory response to a cutaneous wound. Using noninvasive real-time imaging of genetically tagged PMNs in a murine skin wound, chronic, epinephrine-mediated stress was modeled by sustained delivery of epinephrine. Prolonged systemic exposure of epinephrine resulted in persistent PMN trafficking to the wound site via an IL-6-mediated mechanism, and this in turn impaired wound repair. Further, we demonstrate that β2-adrenergic receptor-dependent activation of proinflammatory macrophages is critical for epinephrine-mediated IL-6 production. This study expands our current understanding of stress hormone-mediated impairment of wound healing and provides an important mechanistic link to explain how epinephrine stress exacerbates inflammation via increased number and lifetime of PMNs
Unquenched large orbital magnetic moment in NiO
Magnetic properties of NiO are investigated by incorporating the spin-orbit
interaction in the LSDA+U scheme. It is found that the large part of orbital
moment remains unquenched in NiO. The orbital moment contributes about mu_L =
0.29 mu_B to the total magnetic moment of M = 1.93 mu_B, as leads to the
orbital-to-spin angular momentum ratio of L/S = 0.36. The theoretical values
are in good agreement with recent magnetic X-ray scattering measurements.Comment: 4 pages, 2 figure
Scalar form-factor of the proton with light-cone QCD sum rules
In this article, we calculate the scalar form-factor of the proton in the
framework of the light-cone QCD sum rules approach with the three valence quark
light-cone distribution amplitudes up to twist-6, and observe the scalar
form-factor at intermediate and large momentum transfers has significant contributions from the end-point (or soft) terms. The
numerical values for the are compatible with the calculations
from the chiral quark model and lattice QCD at the region .Comment: 18 pages, 7 figures, revised versio
An exact CKM matrix related to the approximate Wolfenstein form
Noting the hierarchy between three mixing angles, , we present an exact form of the quark mixing matrix, replacing
Wolfenstein's approximate form. In addition, we suggest to rotate the unitarity
triangle, using the weak CP phase convention where the phase is located at the
(31) element while the (13) element
is real. For the unitarity triangle, the base
line (x-axis) is defined from the product of the first row elements,
, and the angle between two sides at the origin is defined to
be the phase . This is a useful definition since every Jarlskog
triangle has the angle at the origin, defined directly from the
unitarity condition. It is argued that represents the barometer of the
weak CP violation, which can be used to relate it to possible Yukawa textures.Comment: 5 pages with 2 figure
Higher Derivative Operators as Counterterms in Orbifold Compactifications
In the context of 5D N=1 supersymmetric models compactified on S_1/Z_2 or
S_1/(Z_2 x Z_2') orbifolds and with brane-localised superpotential, higher
derivative operators are generated radiatively as one-loop counterterms to the
mass of the (brane or zero mode of the bulk) scalar field. It is shown that the
presence of such operators which are brane-localised is not related to the
mechanism of supersymmetry breaking considered (F-term, discrete or continuous
Scherk-Schwarz breaking) and initial supersymmetry does not protect against the
dynamical generation of such operators. Since in many realistic models the
scalar field is commonly regarded as the Higgs field, and the higher derivative
operators seem a generic presence in orbifold compactifications, we stress the
importance of these operators for solving the hierarchy problem.Comment: Contribution to the Conference "Supersymmetry 2005", Durham; 13
pages, LaTe
Experimental signatures of the quantum-classical transition in a nanomechanical oscillator modeled as a damped driven double-well problem
We demonstrate robust and reliable signatures for the transition from quantum
to classical behavior in the position probability distribution of a damped
double-well system using the Qunatum State Diffusion approach to open quantum
systems. We argue that these signatures are within experimental reach, for
example in a doubly-clamped nanomechanical beam.Comment: Proceedings of the conference FMQT 1
Crustal flow around the Eastern Himalayan Syntaxis in western Yunnan, China
Abstract HKT-ISTP 2013
A
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