6,392 research outputs found
On Atkin-Swinnerton-Dyer congruence relations
In this paper we exhibit a noncongruence subgroup \G whose space of weight
3 cusp forms S_3(\G) admits a basis satisfying the Atkin-Swinnerton-Dyer
congruence relations with two weight 3 newforms for certain congruence
subgroups. This gives a modularity interpretation of the motive attached to
S_3(\G) by A. Scholl and also verifies the Atkin-Swinnerton-Dyer congruence
conjecture for this space.Comment: 25 page
The Effects of Minimal Length, Maximal Momentum and Minimal Momentum in Entropic Force
In this paper, the modified entropic force law is studied by using a new kind
of generalized uncertainty principle which contains a minimal length, a minimal
momentum and a maximal momentum. Firstly, the quantum corrections to the
thermodynamics of a black hole is investigated. Then, according to Verlinde's
theory, the generalized uncertainty principle (GUP) corrected entropic force is
obtained. The result shows that the GUP corrected entropic force is related not
only to the properties of the black holes, but also to the Planck length and
the dimensionless constants and . Moreover,
based on the GUP corrected entropic force, we also derive the modified
Einstein's field equation (EFE) and the modified Friedmann equation.Comment: 16 pages. arXiv admin note: substantial text overlap with
arXiv:1604.0470
Ethyl 4-hyÂdroxy-6-(4-hyÂdroxyÂphenÂyl)-4-trifluoroÂmethyl-2-sulfanylÂidene-1,3-diazinane-5-carboxylÂate ethanol monosolvate
The title compound, C14H15F3N2O4S·C2H5OH, was prepared by reaction of 4-hyÂdroxyÂbenzaldehyde, ethyl 4,4,4-trifluoro-3-oxobutanoÂate and thioÂurea. The hexaÂhydroÂpyrimidine ring adopts a half-chair conformation, the mean plane formed by the ring atoms excluding the C atom bonded to the ethÂoxyÂcarbonyl group has an r.m.s. deviation of 0.0333 Å, and the dihedral angle between this plane and the benzene ring is 56.76 (5)°. The molÂecular conformation is stabilized by an intraÂmolecular O—Hâ‹ŻO hydrogen bond, generating an S(6) ring. The crystal structure is stabilized by interÂmolecular O—Hâ‹ŻO, O—Hâ‹ŻS, N—Hâ‹ŻO and N—Hâ‹ŻS hydrogen bonds. The ethyl group of the ester unit is disordered over two positions, with an occupancy ratio of 0.757 (10):0.243 (10)
Berry's phase for coherent states of Landau levels
The Berry phases for coherent states and squeezed coherent states of Landau
levels are calculated. Coherent states of Landau levels are interpreted as a
result of a magnetic flux moved adiabatically from infinity to a finite place
on the plane. The Abelian Berry phase for coherent states of Landau levels is
an analog of the Aharonov- Bohm effect. Moreover, the non-Abelian Berry phase
is calculated for the adiabatic evolution of the magnetic field B.Comment: 4 pages, 1 figur
Structural and Chemical Orders in Ni64.5Zr35.5 Metallic Glass by Molecular Dynamics Simulation
The atomic structure of Ni64.5Zr35.5 metallic glass has been investigated by
molecular dynamics (MD) simulations. The calculated structure factors from the
MD glassy sample at room temperature agree well with the X-ray diffraction
(XRD) and neutron diffraction (ND) experimental data. Using the pairwise
cluster alignment and clique analysis methods, we show that there are three
types dominant short-range order (SRO) motifs around Ni atoms in the glass
sample of Ni64.5Zr35.5, i.e., Mixed-Icosahedron(ICO)-Cube, Twined-Cube and
icosahedron-like clusters. Furthermore, chemical order and medium-range order
(MRO) analysis show that the Mixed-ICO-Cube and Twined-Cube clusters exhibit
the characteristics of the crystalline B2 phase. Our simulation results suggest
that the weak glass-forming ability (GFA) of Ni64.5Zr35.5 can be attributed to
the competition between the glass forming ICO SRO and the crystalline
Mixed-ICO-Cube and Twined-Cube motifs
A study on Fast Predicting the Washability Curve of Coal
AbstractA pure new MATLAB-based image recognition system was developed to compute the coal particle picture of same grain class through the digital image processing method, 13 image feature parameters was selected to be most representative image characteristic parameters. Take the above parameters as the input of RBF neural network, the density level of coal particles could be estimated, combined with the real ash content of each density level, the washability curve could be drawed. Experement show,the absolute error of the total ash is 2.375%,which is Slightly big in the China standards of coal preparation (GB/T477 -1998); the related coefficients of each indicator in both actual and predicted float-and-sink material are all close to 1, while the curves of λ, β, θ and δ are very similar and the deviation of ξ curve is relatively large
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