6,808 research outputs found
(Acetato-κO)diaqua[2-(1H-benzotriazol-1-yl)acetato-κO](1,10-phenanthroline-κ2 N,N′)manganese(II) dihydrate
In the hydrated title complex, [Mn(C8H6N3O2)(CH3CO2)(C12H8N2)(H2O)2]·2H2O, the MnII atom is coordinated by two N atoms from a 1,10-phenanthroline ligand, two water O atoms, a monodentate acetate anion and an O-monodentate 2-(1H-benzotriazol-1-yl)acetate ligand, resulting in a distorted cis-MnN2O4 octahedral coordination geometry. The water O atoms are in a trans arrangement and one of them forms an intramolecular O—H⋯O hydrogen bond to the uncoordinated O atom of the acetate ion. In the crystal, the complex molecules and water molecules are connected by O—H⋯O and O—H⋯N hydrogen bonds to generate a three-dimensional network
μ-Oxalato-κ4 O 1,O 2:O 1′,O 2′-bis[diaqua(2,2′-bipyridyl-κ2 N,N′)zinc] bis[2-(1H-benzotriazol-1-yl)acetate] hexahydrate
The asymmetric unit of the title compound, [Zn2(C2O4)(C10H8N2)2(H2O)4](C8H6N3O2)2·6H2O, contains one half of the centrosymmetric binuclear cation, one anion and three water molecules. In the cation, the oxalate ligand bridges two ZnII ions in a bis-bidentate fashion, so each ZnII ion is coordinated by two O atoms from the oxalate ligand, two N atoms from two 2,2′-bipyridine ligands and two water molecules in a distorted octahedral arrangement. The mean planes of the oxalate and 2,2′-bipyridine ligands form a dihedral angle of 80.0 (1)°. An extensive three-dimensional hydrogen-bonding network formed by classical O—H⋯O and O—H⋯N interactions consolidates the crystal packing
Bulk Operator Reconstruction in Topological Tensor Network and Generalized Free Fields
In this paper, we would like to study operator reconstruction in a class of
holographic tensor networks describing renormalization group flows studied in
arXiv:2210.12127. We study examples of 2d bulk holographic tensor networks
constructed from Dijkgraaf-Witten theories and found that for both
group and group the number of bulk operators behaving like
a generalized free field in the bulk scales as the order of the group. We also
generalize our study to 3d bulks and found the same scaling for
theories. However, there is no generalized free field when the bulk comes from
more generic fusion categories such as the Fibonacci model.Comment: 11 pages, 3 figure
Development of some local search methods for solving the vehicle routing problem
Master'sMASTER OF ENGINEERIN
Efficient multistep methods for tempered fractional calculus: Algorithms and Simulations
In this work, we extend the fractional linear multistep methods in [C.
Lubich, SIAM J. Math. Anal., 17 (1986), pp.704--719] to the tempered fractional
integral and derivative operators in the sense that the tempered fractional
derivative operator is interpreted in terms of the Hadamard finite-part
integral. We develop two fast methods, Fast Method I and Fast Method II, with
linear complexity to calculate the discrete convolution for the approximation
of the (tempered) fractional operator. Fast Method I is based on a local
approximation for the contour integral that represents the convolution weight.
Fast Method II is based on a globally uniform approximation of the trapezoidal
rule for the integral on the real line. Both methods are efficient, but
numerical experimentation reveals that Fast Method II outperforms Fast Method I
in terms of accuracy, efficiency, and coding simplicity. The memory requirement
and computational cost of Fast Method II are and ,
respectively, where is the number of the final time steps and is the
number of quadrature points used in the trapezoidal rule. The effectiveness of
the fast methods is verified through a series of numerical examples for
long-time integration, including a numerical study of a fractional
reaction-diffusion model
(E)-N′-(3,4,5-Trimethoxybenzylidene)-2-(8-quinolyloxy)acetohydrazide methanol solvate
In the title compound, C21H21N3O5·CH4O, the quinoline plane and the benzene ring form a dihedral angle of 3.6 (2)°. The methanol solvent molecule is linked with the acetohydrazide molecule via O—H⋯N and N—H⋯O hydrogen bonds. In the crystal structure, weak intermolecular C—H⋯O hydrogen bonds help to consolidate the crystal packing, which also exhibits π–π interactions, as indicated by short distances of 3.739 (4) Å between the centroids of the aromatic rings
A New Traffic Conflict Measure for Electric Bicycles at Intersections
As electric bicycles (e-bikes) are becoming popular in China, concerns have been raised about their safety conditions. A traffic conflict technique is commonly used in traffic safety analysis, and there are many conflict measures designed for cars. However, e-bikes have high flexibility to change speed and trajectories, which is different from cars, so the conflict measures defined for e-bikes need to be independently explored. Based on e-bike driving characteristics, this paper proposes a new measure, the Integrated Conflict Intensity (ICI), for traffic conflicts involving e-bikes at intersections. It measures the degree of dangerousness of a conflict process, with consideration of both conflict risk and conflict severity. Time to collision is used to measure the conflict risk. Relative kinetic energy is used to measure the conflict severity. ICI can be calculated based on video analysis. The method of determining ICI thresholds for three conflict levels (serious, less serious, and slight) and two conflict types (conflicts between two e-bikes, and conflicts between an e-bike and a car) is put forward based on the questionnaires about safety perception of e-bike riders, which is regarded as the criterion of e-bike safety conditions at intersections. The video recording and a questionnaire survey about conflicts involving e-bikes at intersections have been conducted, and the unified thresholds applicable to different intersections have been determined. It is verified that ICI and its thresholds meet the criterion of e-bike safety conditions. This work is expected to be used in the selection of intersections for safety improvement of e-bike traffic.</p
Mutual correlation in the shock wave geometry
We probe the shock wave geometry with the mutual correlation in a spherically
symmetric Reissner Nordstr\"om AdS black hole on the basis of the gauge/gravity
duality. In the static background, we find that the regions living on the
boundary of the AdS black holes are correlated provided the considered regions
on the boundary are large enough. We also investigate the effect of the charge
on the mutual correlation and find that the bigger the value of the charge is,
the smaller the value of the mutual correlation will to be. As a small
perturbation is added at the AdS boundary, the horizon shifts and a dynamical
shock wave geometry forms after long time enough. In this dynamic background,
we find that the greater the shift of the horizon is, the smaller the mutual
correlation will to be. Especially for the case that the shift is large enough,
the mutual correlation vanishes, which implies that the considered regions on
the boundary are uncorrelated. The effect of the charge on the mutual
correlation in this dynamic background is found to be the same as that in the
static background.Comment: 10 page
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