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Pollinator limitation causes sexual reproductive failure in ex situ populations of self-compatible Iris ensata
Analysis of a new variational model for image multiplicative denoising
In this paper, we study the mathematical properties of a new variational model for image multiplicative noise removal. Some important properties of the model, including the lower semicontinuity, the differential property, the convergence and regularization property, are established for the first time. The existence and uniqueness of a solution for the problem as well as a comparison principle have also been established
Deforming black holes with even multipolar differential rotation boundary
Motivated by the novel asymptotically global AdS solutions with deforming
horizon in [JHEP {\bf 1802}, 060 (2018)], we analyze the boundary metric with
even multipolar differential rotation and numerically construct a family of
deforming solutions with quadrupolar differential rotation boundary, including
two classes of solutions: solitons and black holes. In contrast to solutions
with dipolar differential rotation boundary, we find that even though the norm
of Killing vector becomes spacelike for certain regions of polar
angle when , solitons and black holes with quadrupolar
differential rotation still exist and do not develop hair due to superradiance.
Moreover, at the same temperature, the horizonal deformation of quadrupolar
rotation is smaller than that of dipolar rotation. Furthermore, we also study
the entropy and quasinormal modes of the solutions, which have the analogous
properties to that of dipolar rotation.Comment: 18 pages, 21 figure
2-Amino-4-(4-hydroxy-3,5-dimethoxyphenyl)-6-phenylnicotinonitrile
In the title compound, C20H17N3O3, the dihedral angles between the central pyridine ring and the two terminal rings are 15.07 (3) and 43.24 (3)°. The dihedral angle between the two terminal rings is 37.49 (4)° In the crystal, intermolecular amine N—H⋯Nnitrile hydrogen-bonding interactions form inversion dimers, which are linked into chains through amine N—H⋯Omethoxy hydrogen bonds
3-Hydroxy-2-[(4-hydroxy-3,5-dimethoxyphenyl)(2-hydroxy-4,4-dimethyl-6-oxocyclohex-1-en-1-yl)methyl]-5,5-dimethylcyclohex-2-en-1-one
In the title compound, C25H32O7, the 3-hydroxy-5,5-dimethylcyclohex-2-enone rings adopt slightly distorted envelope conformations with the two planes at the base of the envelope forming dihedral angles of 57.6 (4) and 53.9 (9)° with the benzene ring. There is an intramolecular hydroxy–ketone O—H⋯O interaction between the two substituted cyclohexane rings as well as a short intramolecular phenol–methoxy O—H⋯O interaction
2,2′-{[4,6-Bis(octylamino)-1,3,5-triazin-2-yl]azanediyl}diethanol
In the title compound, C23H46N6O2, the two hydroxy groups are located on opposite sides of the triazine ring. One of the hydroxy groups links with the triazine N atom via an intramolecular O—H⋯N hydrogen bond. Intermolecular O—H⋯N and N—H⋯O hydrogen bonding is observed in the crystal structure. π–π stacking is also observed between parallel triazine rings of adjacent molecules, the centroid–centroid distance being 3.5944 (14) Å
Exact solution of gyration radius of individual's trajectory for a simplified human mobility model
Gyration radius of individual's trajectory plays a key role in quantifying
human mobility patterns. Of particular interests, empirical analyses suggest
that the growth of gyration radius is slow versus time except the very early
stage and may eventually arrive to a steady value. However, up to now, the
underlying mechanism leading to such a possibly steady value has not been well
understood. In this Letter, we propose a simplified human mobility model to
simulate individual's daily travel with three sequential activities: commuting
to workplace, going to do leisure activities and returning home. With the
assumption that individual has constant travel speed and inferior limit of time
at home and work, we prove that the daily moving area of an individual is an
ellipse, and finally get an exact solution of the gyration radius. The
analytical solution well captures the empirical observation reported in [M. C.
Gonz`alez et al., Nature, 453 (2008) 779]. We also find that, in spite of the
heterogeneous displacement distribution in the population level, individuals in
our model have characteristic displacements, indicating a completely different
mechanism to the one proposed by Song et al. [Nat. Phys. 6 (2010) 818].Comment: 4 pages, 4 figure
Deforming charged black holes with dipolar differential rotation boundary
Motivated by the recent studies of the novel asymptotically global AdS
black hole with deforming horizon, we consider the action of Einstein-Maxwell
gravity in AdS spacetime and construct the charged deforming AdS black holes
with differential boundary. In contrast to deforming black hole without charge,
there exists at least one value of horizon for an arbitrary temperature. The
extremum of temperature is determined by charge and divides the range of
temperature into several parts. Moreover, we use an isometric embedding in the
three-dimensional space to investigate the horizon geometry. We also study the
entropy and quasinormal modes of deforming charged AdS black hole. It is
interesting to find there exist two families of black hole solutions with
different horizon radius for a fixed temperature, but these two black holes
have same horizon geometry and entropy. Due to the existence of charge , the
phase diagram of entropy is more complicated.Comment: 19 pages, 9 figure
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