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Journal articles on the topic 'Formuła point splitting'

Author: Grafiati

Published: 24 April 2022

Last updated: 30 July 2025

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1

Bolognini, Davide, and Ulderico Fugacci. "Betti splitting from a topological point of view." Journal of Algebra and Its Applications 19, no. 06 (2019): 2050116. http://dx.doi.org/10.1142/s0219498820501169.

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A Betti splitting [Formula: see text] of a monomial ideal [Formula: see text] ensures the recovery of the graded Betti numbers of [Formula: see text] starting from those of [Formula: see text] and [Formula: see text]. In this paper, we introduce an analogous notion for simplicial complexes, using Alexander duality, proving that it is equivalent to a recursive splitting condition on links of some vertices. We provide results ensuring the existence of a Betti splitting for a simplicial complex [Formula: see text], relating it to topological properties of [Formula: see text]. Among other things,

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2

Singh, Ranber. "Spin–orbit splitting in graphene, silicene and germanene: Dependence on buckling." International Journal of Modern Physics B 32, no. 05 (2018): 1850055. http://dx.doi.org/10.1142/s0217979218500558.

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The spin–orbit splitting (E[Formula: see text]) of valence band maximum at the [Formula: see text] point is significantly smaller in 2D planner honeycomb structures of graphene, silicene, germanene and BN than that in the corresponding 3D bulk counterparts. For 2D planner honeycomb structure of SiC, it is almost same as that for 3D bulk cubic SiC. The bandgap which opens at the K and K[Formula: see text] points due to spin–orbit coupling (SOC) is very small in flat honeycomb structures of graphene and silicene, while in germanene it is about 2 meV. The buckling in these structures of graphene,

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3

Lamb, Kevin, and Patrick Weed. "A distance for circular Heegaard splittings." Journal of Knot Theory and Its Ramifications 28, no. 09 (2019): 1950059. http://dx.doi.org/10.1142/s0218216519500597.

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For a knot [Formula: see text], its exterior [Formula: see text] has a singular foliation by Seifert surfaces of [Formula: see text] derived from a circle-valued Morse function [Formula: see text]. When [Formula: see text] is self-indexing and has no critical points of index 0 or 3, the regular levels that separate the index-1 and index-2 critical points decompose [Formula: see text] into a pair of compression bodies. We call such a decomposition a circular Heegaard splitting of [Formula: see text]. We define the notion of circular distance (similar to Hempel distance) for this class of Heegaa

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4

Carley, Holly K., Michael K. H. Kiessling, and Volker Perlick. "On the Schrödinger spectrum of a hydrogen atom with electrostatic Bopp–Landé–Thomas–Podolsky interaction between electron and proton." International Journal of Modern Physics A 34, no. 26 (2019): 1950146. http://dx.doi.org/10.1142/s0217751x1950146x.

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The Schrödinger spectrum of a hydrogen atom, modeled as a two-body system consisting of a point electron and a point proton, changes when the usual Coulomb interaction between point particles is replaced with an interaction which results from a modification of Maxwell’s law of the electromagnetic vacuum. Empirical spectral data thereby impose bounds on the theoretical parameters involved in such modified vacuum laws. In the present paper the vacuum law proposed, in the 1940s, by Bopp, Landé–Thomas, and Podolsky (BLTP) is scrutinized in such a manner. The BLTP theory hypothesizes the existence

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5

Zhang, Li-Tao, and Yi-Fan Zhang. "A modified variant of HSS preconditioner for generalized saddle point problems." Advances in Mechanical Engineering 14, no. 7 (2022): 168781322211112. http://dx.doi.org/10.1177/16878132221111206.

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Recently, Zhang [Numerical Linear Algebra with Applications, 2018: e2166] constructed an efficient variant of Hermitian and skew-Hermitian splitting (HSS) preconditioner for generalized saddle point problems, and gave the corresponding theoretical analysis and numerical experiment. In this paper, based on the efficient variant of the HSS (EVHSS) preconditioner, we relax the strong condition on the iterative parameter [Formula: see text], generalize the algorithms and further present the modified variant of Hermitian and skew-Hermitian splitting (HSS) (MVHSS) preconditioner for solving the gene

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6

Luo, Wei-Hua, and Ting-Zhu Huang. "A Parameterized Splitting Preconditioner for Generalized Saddle Point Problems." Journal of Applied Mathematics 2013 (2013): 1–6. http://dx.doi.org/10.1155/2013/489295.

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By using Sherman-Morrison-Woodbury formula, we introduce a preconditioner based on parameterized splitting idea for generalized saddle point problems which may be singular and nonsymmetric. By analyzing the eigenvalues of the preconditioned matrix, we find that whenαis big enough, it has an eigenvalue at 1 with multiplicity at leastn, and the remaining eigenvalues are all located in a unit circle centered at 1. Particularly, when the preconditioner is used in general saddle point problems, it guarantees eigenvalue at 1 with the same multiplicity, and the remaining eigenvalues will tend to 1 as

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7

Ikeda, Toru. "Involutions of hyperbolic spatial graph exteriors whose fixed point sets are closed surfaces." Journal of Knot Theory and Its Ramifications 27, no. 01 (2018): 1850004. http://dx.doi.org/10.1142/s0218216518500049.

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A [Formula: see text]-component non-splittable spatial graph [Formula: see text] in [Formula: see text] possibly admits a smooth involution on its exterior whose fixed point set is a closed surface [Formula: see text] of genus [Formula: see text]. It is known that [Formula: see text] holds if [Formula: see text] is a graph link in [Formula: see text]. In this paper, we consider [Formula: see text] to be a hyperbolic spatial graph in a closed orientable 3-manifold [Formula: see text]. We first study the case where [Formula: see text] is the 3-sphere, and provide a method for constructing [Formu

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8

Wang, Zhi. "Experimental study on Mode I fracture of cracked straight through the square specimen (CSTSS)." Mechanics 26, no. 1 (2020): 12–17. http://dx.doi.org/10.5755/j01.mech.26.1.22972.

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Analytical solution of tensile stress of square specimen under splitting load was obtained through Fourier Series Solution of plane stress problems. According to the stress distribution of the un-cracked square specimen, the calculation formula of Mode I fracture toughness of cracked straight through the square specimen, CSTSS, under splitting load was obtained, and the shape function was corrected by the finite element interaction integration method. In order to verify the correctness of the formula, a CSTSS splitting test was performed. The test results indicated that the stress distribution

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9

IKHDAIR, SAMEER M., and RAMAZAN SEVER. "A SYSTEMATIC STUDY ON NONRELATIVISTIC QUARKONIUM INTERACTION." International Journal of Modern Physics A 21, no. 19n20 (2006): 3989–4002. http://dx.doi.org/10.1142/s0217751x06030953.

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A recently proposed strictly phenomenological static quark–antiquark potential belonging to the generality V(r) = -Ar-α + κrβ + V0 is tested with heavy quarkonia in the context of the shifted large N-expansion method. This nonrelativistic potential model fits the spin-averaged mass spectra of the [Formula: see text], [Formula: see text] and [Formula: see text] quarkonia within a few MeV and also the five experimentally known leptonic decay widths of the [Formula: see text] and [Formula: see text] vector states. Further, we compute the hyperfine splittings of the bottomonium spectrum as well as

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10

Xiao, Yan. "Cauchy’s Integral Formula and Its Applications in Calculating Integrals." Highlights in Science, Engineering and Technology 72 (December 15, 2023): 931–37. http://dx.doi.org/10.54097/a7vee109.

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Cauchy's Integral Theorem is a crucial mathematical theorem that describes the behavior of a complex function on a complex plane. This paper reviews the proof of Cauchy's integral theorem and formula, and the deduction of Cauchy's integral like Cauchy's integral formula with the point in the numerator is on the contour integral. This paper also explores Cauchy's integral when the function contains a non-analytic point inside the contour integral. The way is splitting the entire integral into the sum of several contour integrals equivalently, putting the function f(z) in the numerator into Laur

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11

Ismayilova, N. A., and G. S. Orudzhev. "Influence of spin–orbit interaction on band structure of TlInSe2." International Journal of Modern Physics B 33, no. 16 (2019): 1950161. http://dx.doi.org/10.1142/s0217979219501613.

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In this work, we report the effect of the spin–orbit (SO) interaction on the band structure of TlInSe2. Calculation was performed by implementing density functional theory (DFT) method. Our results show that SO interaction is significant for two high symmetrical point ([Formula: see text], [Formula: see text]) and line ([Formula: see text], [Formula: see text]) of Brillouin zone in the band structure and negligible changes was observed in the bands near the Fermi level. The maximum SO splitting is [Formula: see text]0.9 eV.

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12

Chen, Liang, Xiaokai Chang, and Sanyang Liu. "A Three-Operator Splitting Perspective of a Three-Block ADMM for Convex Quadratic Semidefinite Programming and Beyond." Asia-Pacific Journal of Operational Research 37, no. 04 (2020): 2040009. http://dx.doi.org/10.1142/s0217595920400096.

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In recent years, several convergent variants of the multi-block alternating direction method of multipliers (ADMM) have been proposed for solving the convex quadratic semidefinite programming via its dual, which is inherently a [Formula: see text]-block separable convex optimization problem with coupled linear constraints. Among these multi-block ADMM-type algorithms, the modified [Formula: see text]-block ADMM in [Chang, XK, SY Liu and X Li (2016). Modified alternating direction method of multipliers for convex quadratic semidefinite programming. Neurocomputing, 214, 575–586] bears a peculiar

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13

Perucca, Antonella. "Reductions of one-dimensional tori." International Journal of Number Theory 13, no. 06 (2016): 1473–89. http://dx.doi.org/10.1142/s1793042117500828.

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Consider a non-split one-dimensional torus defined over a number field [Formula: see text]. For a finitely generated group [Formula: see text] of rational points and for a prime number [Formula: see text], we investigate for how many primes [Formula: see text] of [Formula: see text] the size of the reduction of [Formula: see text] modulo [Formula: see text] is coprime to [Formula: see text]. We provide closed formulas for the corresponding Dirichlet density in terms of finitely many computable parameters. To achieve this, we determine in general which torsion fields and Kummer extensions conta

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14

Abe, Takuro, and Alexandru Dimca. "Splitting types of bundles of logarithmic vector fields along plane curves." International Journal of Mathematics 29, no. 08 (2018): 1850055. http://dx.doi.org/10.1142/s0129167x18500556.

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We give a formula relating the total Tjurina number and the generic splitting type of the bundle of logarithmic vector fields associated to a reduced plane curve. By using it, we give a characterization of nearly free curves in terms of splitting types. Several applications to free and nearly free arrangements of lines are also given, in particular a proof of a form of Terao’s Conjecture for arrangements having a line with at most four intersection points.

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15

Mohanty, R. K., and Gunjan Khurana. "A New Fast Numerical Method Based on Off-Step Discretization for Two-Dimensional Quasilinear Hyperbolic Partial Differential Equations." International Journal of Computational Methods 14, no. 03 (2017): 1750031. http://dx.doi.org/10.1142/s0219876217500311.

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We report a new 3-level implicit compact numerical method of order four in time and four in space based on off-step discretization for the solution of two-space-dimensional quasilinear hyperbolic equation [Formula: see text], [Formula: see text], [Formula: see text] defined in the region [Formula: see text], [Formula: see text], [Formula: see text]. We require only 19 grid points for the unknown variable [Formula: see text] and two extra off-step points each in [Formula: see text]-, [Formula: see text]- and [Formula: see text]-directions. The proposed method is directly applicable to two-dimen

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16

Álvarez, Gustavo, Gorazd Cvetič, Bernd A. Kniehl, Igor Kondrashuk, and Ivan Parra-Ferrada. "Analytical Solution to DGLAP Integro-Differential Equation in a Simple Toy-Model with a Fixed Gauge Coupling." Quantum Reports 5, no. 1 (2023): 198–223. http://dx.doi.org/10.3390/quantum5010013.

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We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not run. This may be N=4 supersymmetric gauge theory with softly broken supersymmetry, other finite supersymmetric gauge theory with a lower level of supersymmetry, or topological Chern–Simons field theories. We maintain only one term in the splitting function of unintegrated gluon distribution and solve DGLAP analytically for this simplified splittin

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17

Mohanty, R. K., and Gunjan Khurana. "A New Fast Algorithm Based on Half-Step Discretization for 3D Quasilinear Hyperbolic Partial Differential Equations." International Journal of Computational Methods 16, no. 01 (2018): 1850090. http://dx.doi.org/10.1142/s0219876218500901.

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In this paper, we study a new numerical method of order 4 in space and time based on half-step discretization for the solution of three-space dimensional quasi-linear hyperbolic equation of the form [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] subject to prescribed appropriate initial and Dirichlet boundary conditions. The scheme is compact and requires nine evaluations of the function [Formula: see text] For the derivation of the method, we use two inner half-step points e

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18

Guerini, Lorenzo, and Han Peters. "Julia sets of complex Hénon maps." International Journal of Mathematics 29, no. 07 (2018): 1850047. http://dx.doi.org/10.1142/s0129167x18500477.

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There are two natural definitions of the Julia set for complex Hénon maps: the sets [Formula: see text] and [Formula: see text]. Whether these two sets are always equal is one of the main open questions in the field. We prove equality when the map acts hyperbolically on the a priori smaller set [Formula: see text], under the additional hypothesis of substantial dissipativity. This result was claimed, without using the additional assumption, in [J. E. Fornæss, The julia set of hénon maps, Math. Ann. 334(2) (2006) 457–464], but the proof is incomplete. Our proof closely follows ideas from [J. E.

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19

Freitas, Gabriel, and Marc Casals. "A novel method for renormalization in quantum-field theory in curved spacetime." International Journal of Modern Physics D 27, no. 11 (2018): 1843001. http://dx.doi.org/10.1142/s0218271818430010.

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In quantum-field theory in curved spacetime, two important physical quantities are the expectation value of the stress-energy tensor [Formula: see text] and of the square of the field operator [Formula: see text]. These expectation values must be renormalized, which is usually performed via the so-called point-splitting prescription. However, the renormalization method that is usually implemented in the literature, in principle, only applies to static, spherically-symmetric spacetimes, and does not readily generalize to other types of spacetime. We present a novel implementation of the renorma

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20

Helffer, Bernard, Ayman Kachmar, and Nicolas Raymond. "Tunneling for the Robin Laplacian in smooth planar domains." Communications in Contemporary Mathematics 19, no. 01 (2016): 1650030. http://dx.doi.org/10.1142/s0219199716500309.

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We study the low-lying eigenvalues of the semiclassical Robin Laplacian in a smooth planar domain with bounded boundary which is symmetric with respect to an axis. In the case when the curvature of the boundary of the domain attains its maximum at exactly two points away from the axis of symmetry, we establish an explicit asymptotic formula for the splitting of the first two eigenvalues. This is a rigorous derivation of the semiclassical tunneling effect induced by the domain’s geometry. Our approach is close to the Born–Oppenheimer one and yields, as a byproduct, a Weyl formula of independent

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21

GUÀRDIA, J. "EXPLICIT GEOMETRY ON A FAMILY OF CURVES OF GENUS 3." Journal of the London Mathematical Society 64, no. 2 (2001): 299–310. http://dx.doi.org/10.1112/s0024610701002538.

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An explicit geometrical study of the curves[formula here]is presented. These are non-singular curves of genus 3, defined over ℚ(a). By exploiting their symmetries, it is possible to determine most of their geometric invariants, such as their bitangent lines and their period lattice. An explicit description is given of the bijection induced by the Abel–Jacobi map between their bitangent lines and odd 2-torsion points on their jacobian. Finally, three elliptic quotients of these curves are constructed that provide a splitting of their jacobians. In the case of the curve [Cscr ]1±√2, which is iso

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22

Zahariuc, Adrian. "Rational curves on Del Pezzo manifolds." Advances in Geometry 18, no. 4 (2018): 451–65. http://dx.doi.org/10.1515/advgeom-2018-0010.

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Abstract We exploit an elementary specialization technique to study rational curves on Fano varieties of index one less than their dimension, known as del Pezzo manifolds. First, we study the splitting type of the normal bundles of the rational curves. Second, we prove a simple formula relating the number of rational curves passing through a suitable number of points in the case of threefolds and the analogous invariants for del Pezzo surfaces.

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Wu, Fei, and Shi Ming Dong. "Study on a New Testing Method of the Elastic Modulus and Poisson's Ratio by Using Brazilian Disk Test." Applied Mechanics and Materials 347-350 (August 2013): 1199–202. http://dx.doi.org/10.4028/www.scientific.net/amm.347-350.1199.

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In order to develop a new test method of the elastic modulus and Poissons ratio, based on the theoretical analysis of the Brazilian disk diametrically loaded by a pair of forces, the relationship is obtained between the total displacement of one point on the vertical direction of the load line and the applied force as well as the elastic modulus and Poissons ratio. The strain gauges with different length are used to measure the displacement of the corresponding point, and then the displacement is employed to calculate the elastic modulus and Poisson's ratio by using the theoretical formula. Th

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24

BEICHELT, FRANK. "RELIABILITY PRESERVING NETWORK TRANSFORMATION APPLICATIONS AND PROBLEMS." International Journal of Reliability, Quality and Safety Engineering 14, no. 03 (2007): 189–99. http://dx.doi.org/10.1142/s0218539307002581.

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A combinatorial approach to reliability preserving transformation of stochastic networks is presented. It involves splitting the underlying graph G into two edge-disjoint subgraphs, carrying out separate reliability analyses for the arising two stochastic subnetworks, and combining the results to obtain a formula for the reliability of the original stochastic network. Based on this decomposition formula, a general approach to reliability preserving network transformation is proposed. Its principle idea consists in simplifying the topological structure of G by substituting one of the subgraphs

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25

Narison, Stephan. "QCD parameter correlations from heavy quarkonia." International Journal of Modern Physics A 33, no. 10 (2018): 1850045. http://dx.doi.org/10.1142/s0217751x18500458.

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Correlations between the QCD coupling [Formula: see text], the gluon condensate [Formula: see text] and the [Formula: see text], [Formula: see text]-quark running masses [Formula: see text] in the [Formula: see text]-scheme are explicitly studied (for the first time) from the (axial-)vector and (pseudo)scalar charmonium and bottomium ratios of Laplace sum rules (LSR) evaluated at the [Formula: see text]-subtraction stability point where perturbative (PT) @N2LO, N3LO and [Formula: see text] @NLO corrections are included. Our results clarify the (apparent) discrepancies between different estimat

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26

Reese, D. R., G. M. Mirouh, F. Espinosa Lara, M. Rieutord, and B. Putigny. "Oscillations of 2D ESTER models." Astronomy & Astrophysics 645 (January 2021): A46. http://dx.doi.org/10.1051/0004-6361/201935538.

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Context. Recent numerical and theoretical considerations have shown that low-degree acoustic modes in rapidly rotating stars follow an asymptotic formula. In parallel, recent studies have revealed the presence of regular pulsation frequency patterns in rapidly rotating δ Scuti stars that seem to match theoretical expectations. Aims. In this context, a key question is whether strong gradients or discontinuities can adversely affect the asymptotic frequency pattern to the point of hindering its identification. Other important questions are how rotational splittings are affected by the 2D rotatio

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Wang, Ziyi, Guiyi Wu, and Lang Zhou. "Optimization of Pre-Splitting Blasting Hole Network Parameters and Engineering Applications in Open Pit Mine." Applied Sciences 12, no. 10 (2022): 4930. http://dx.doi.org/10.3390/app12104930.

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In order to optimize the parameters of a pre-splitting blasting hole network, taking an open-pit mine in Inner Mongolia as the engineering background, the numerical models of different pore sizes and hole spacing were established by LS-DYNA software. The stress wave propagation law, peak stress change and rock fracture state under various working conditions were analyzed. The optimization formula of a hole network relationship was proposed and verified on site. The results show that the shock wave generated by the explosion propagates rapidly upward from the explosion source and forms a plasti

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Hong, Qingguo, Johannes Kraus, Maria Lymbery, and Fadi Philo. "Parameter-robust Uzawa-type iterative methods for double saddle point problems arising in Biot’s consolidation and multiple-network poroelasticity models." Mathematical Models and Methods in Applied Sciences 30, no. 13 (2020): 2523–55. http://dx.doi.org/10.1142/s0218202520500499.

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This work is concerned with the iterative solution of systems of quasi-static multiple-network poroelasticity equations describing flow in elastic porous media that is permeated by single or multiple fluid networks. Here, the focus is on a three-field formulation of the problem in which the displacement field of the elastic matrix and, additionally, one velocity field and one pressure field for each of the [Formula: see text] fluid networks are the unknown physical quantities. Generalizing Biot’s model of consolidation, which is obtained for [Formula: see text], the MPET equations for [Formula

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Ding, Ran, Yizhou Fan, Li Huang, et al. "Systematic study of diphoton resonance at 750 GeV from sgoldstino." International Journal of Modern Physics A 31, no. 26 (2016): 1650151. http://dx.doi.org/10.1142/s0217751x16501517.

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The ATLAS and CMS Collaborations of the Large Hadron Collider (LHC) have reported an excess of events in diphoton channel with invariant mass of about 750 GeV. With low energy supersymmetry breaking, we systematically consider the sgoldstino scalar S as the new resonance, which is a linear combination of the CP-even scalar [Formula: see text] and CP-odd pseudoscalar [Formula: see text]. Because we show that [Formula: see text] and [Formula: see text] can be degenerated or have large mass splitting, we consider two cases for all the following three scenarios: (1) Single resonance, [Formula: see

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Ran, Yu-Hong, Jun-Gang Wang, and Dong-Ling Wang. "On Preconditioners Based on HSS for the Space Fractional CNLS Equations." East Asian Journal on Applied Mathematics 7, no. 1 (2017): 70–81. http://dx.doi.org/10.4208/eajam.190716.051116b.

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AbstractThe space fractional coupled nonlinear Schrödinger (CNLS) equations are discretized by an implicit conservative difference scheme with the fractional centered difference formula, which is unconditionally stable. The coefficient matrix of the discretized linear system is equal to the sum of a complex scaled identity matrix which can be written as the imaginary unit times the identity matrix and a symmetric Toeplitz-plusdiagonal matrix. In this paper, we present new preconditioners based on Hermitian and skew-Hermitian splitting (HSS) for such Toeplitz-like matrix. Theoretically, we show

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Koren, Zvi, Igor Ravve, Gladys Gonzalez, and Dan Kosloff. "Anisotropic local tomography." GEOPHYSICS 73, no. 5 (2008): VE75—VE92. http://dx.doi.org/10.1190/1.2953979.

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Local tomography is interactive, ray-based, residual-interval-parameter analysis for updating background anisotropic velocity parameters. The method operates directly on image gathers generated by anisotropic curved-ray Kirchhoff time migration. A locally 1D, spatially varying, vertical transversely isotropic model is assumed. The background anisotropy parameters are the instantaneous (interval) vertical compression velocity [Formula: see text] and the two Thomsen anisotropy parameters, [Formula: see text] and [Formula: see text]. The interval velocity [Formula: see text] is updated from short

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Kubik, P. R., W. N. Hardy, and H. Glattli. "Orientational ordering of hydrogen molecules adsorbed on graphite." Canadian Journal of Physics 63, no. 5 (1985): 605–20. http://dx.doi.org/10.1139/p85-094.

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The orientational behaviour of ortho-H2 and para-D2 molecules adsorbed on graphite has been studied by NMR from 0.3 to 12 K at coverages where the molecules form a [Formula: see text] registered lattice. We have observed that for 90% ortho-H2, the splitting of the high-temperature NMR doublet increases rapidly near 0.6 K and additional structure appears. We have identified this as a transition to the orientationally ordered pinwheel phase: one of the phases predicted by the mean field theory of Harris and Berlinsky. In contrast, the spectrum of 90% para-D2 evolves smoothly to a broad, weak str

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Absor, Moh Adhib Ulil, and Iman Santoso. "Reversible canted persistent spin textures in two-dimensional ferroelectric bilayer WTe₂." Journal of Applied Physics 132, no. 18 (2022): 183906. http://dx.doi.org/10.1063/5.0121520.

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The recent discovery of materials hosting persistent spin texture (PST) opens an avenue for the realization of energy-saving spintronics since they support an extraordinarily long spin lifetime. However, the stability of the PST is sensitively affected by symmetry breaking of the crystal induced by external perturbation such as the electric field. In this paper, through first-principles calculations supplemented by symmetry analysis, we report the emergence of the robust and stable PST with large spin splitting in the two-dimensional (2D) ferroelectric bilayer WTe[Formula: see text]. Due to th

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Wang, Zhenming, Jun Zhu, Chunwu Wang, and Ning Zhao. "Finite difference alternative unequal-sized weighted essentially non-oscillatory schemes for hyperbolic conservation laws." Physics of Fluids 34, no. 11 (2022): 116108. http://dx.doi.org/10.1063/5.0123597.

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In this paper, two unequal-sized weighted essentially non-oscillatory (US-WENO) schemes are proposed for solving hyperbolic conservation laws. First, an alternative US-WENO (AUS-WENO) scheme based directly on the values of conserved variables at the grid points is designed. This scheme can inherit all the advantages of the original US-WENO scheme [J. Zhu and J. Qiu, “A new fifth order finite difference WENO scheme for solving hyperbolic conservation laws,” J. Comput. Phys. 318, 110–121 (2016).], such as the arbitrariness of the linear weights. Moreover, this presented AUS-WENO scheme enables a

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Li, Xiao-Jing, Li-Ge Wang, and Wei-Min Yang. "A Numerical Study of Underground Cavern Stability by Geostress Characteristics." Shock and Vibration 2016 (2016): 1–13. http://dx.doi.org/10.1155/2016/3768453.

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The stability of underground cavities is of increasing importance considering the predominant cavity locations built up in high mountain and canyon environments. Such cavity locations are characterized by a high initial in situ stress, which results in brittle fracture and deformation of the surrounding rock during cavity construction. This paper presents a numerical study of underground cavern stability considering four factors, namely, mechanical property of surrounding rock, cavern burial depth, lateral pressure coefficient in horizontal direction, and the angle included between plant longi

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Xiao, Yue, Limin Tang, and Jiawei Xie. "Calculation Method of Permanent Deformation of Asphalt Mixture Based on Interval Number." Materials 14, no. 9 (2021): 2116. http://dx.doi.org/10.3390/ma14092116.

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There are great uncertainties in road design parameters, and the traditional point numerical calculation results cannot reflect the complexity of the actual project well. Additionally, the calculation method of road design theory based on interval analysis is more difficult in the use of uncertain design parameters. In order to simplify the calculation process of the interval parameters in the road design theory, the asphalt pavement design is taken as the analysis object, and the permanent deformation of the asphalt mixture is simplified by combining the interval analysis theory. Considering

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Bian, Jinliang, Wanlin Cao, Lin Yang, and Cunqiang Xiong. "Experimental Research on the Mechanical Properties of Tailing Microcrystalline Foam Glass." Materials 11, no. 10 (2018): 2048. http://dx.doi.org/10.3390/ma11102048.

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Tailing microcrystalline foam glass (TMFG) is a building material that not only has the characteristics of light weight, fire resistance, and thermal insulation, but also has decorative applications. TMFG has a broad application prospect, but there has been little research on the macroscale mechanical properties of this material. In order to analyze TMFG basic mechanical properties, a series of experimental studies were carried out by performing the four-point flexural, shear, uniaxial compression, and splitting tensile strength tests. The research showed that the foaming agent (SiC) had a gre

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Bültmann, Moritz, and Andreas Härtel. "The primitive model in classical density functional theory: beyond the standard mean-field approximation." Journal of Physics: Condensed Matter 34, no. 23 (2022): 235101. http://dx.doi.org/10.1088/1361-648x/ac5e7a.

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Abstract The primitive model describes ions by point charges with an additional hard-core interaction. In classical density-functional theory (DFT) the mean-field electrostatic contribution can be obtained from the first order of a functional perturbation of the pair potential for an uncharged reference system of hard spheres. This mean-field electrostatic term particularly contributes at particle separations that are forbidden due to hard-core overlap. In this work we modify the mean-field contribution such that the pair potential is constant for distances smaller than the contact distance of

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Guirardel, Vincent, Camille Horbez, and Jean Lécureux. "Cocycle superrigidity from higher rank lattices to $ {{\rm{Out}}}{(F_N)} $." Journal of Modern Dynamics 18 (2022): 291. http://dx.doi.org/10.3934/jmd.2022010.

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<p style='text-indent:20px;'>We prove a rigidity result for cocycles from higher rank lattices to <inline-formula><tex-math id="M2">\begin{document}$ \mathrm{Out}(F_N) $\end{document}</tex-math></inline-formula> and more generally to the outer automorphism group of a torsion-free hyperbolic group. More precisely, let <inline-formula><tex-math id="M3">\begin{document}$ G $\end{document}</tex-math></inline-formula> be either a product of connected higher rank simple algebraic groups over local fields, or a lattice in such a product. Let <i

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Fedunina, Olga. "Virgo-Death: from The Little Show-Booth by Alexander Blok to The Mistress of Death and The Lover of Death by Boris Akunin." Literatūra 63, no. 2 (2021): 143–56. http://dx.doi.org/10.15388/litera.2021.63.2.9.

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The image of Death, embodied in the image of a beautiful maiden, is considered in the article through the analysis of references in the novel diptych by B. Akunin The Mistress of Death and The Lover of Death (the Erast Fandorin series) to one of the most important primary sources, the drama by A. Blok The Little Show-Booth. The study shows that Akunin's method of deformation was replaced by a postmodern deconstruction with a splitting into two images, of Columbine and of Maiden-Death, each of which is dominated by one of the hypostases of the heroine of The Little Show-Booth. These transformat

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Price, D. C. "Static and dynamic crystal-field effects in ferrous fluosilicate." Canadian Journal of Physics 65, no. 10 (1987): 1280–93. http://dx.doi.org/10.1139/p87-203.

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This paper examines the crystal fields acting on Fe2+ ions in ferrous fluosilicate, and the way that they influence the magnetic and spectroscopic properties of the compound. The crystal structures of ferrous fluosilicate and of the structurally similar magnesium, manganese, cobalt, nickel, and zinc compounds are described to establish the point symmetries of the metal-ion sites. In the low-temperature monoclinic (P21/c) phase of the Fe2+, Mg2+, Co2+, and Mn2+ compounds, although the metal-ion site is required crystallographically to have only inversion symmetry, all of the available low-tempe

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Rakdi, M. A., and N. Midoune. "Weights of the $\mathbb{F}_{q}$-forms of $2$-step splitting trivectors of rank $8$ over a finite field." Carpathian Mathematical Publications 11, no. 2 (2019): 422–30. http://dx.doi.org/10.15330/cmp.11.2.422-430.

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Grassmann codes are linear codes associated with the Grassmann variety $G(\ell,m)$ of $\ell$-dimensional subspaces of an $m$ dimensional vector space $\mathbb{F}_{q}^{m}.$ They were studied by Nogin for general $q.$ These codes are conveniently described using the correspondence between non-degenerate $[n,k]_{q}$ linear codes on one hand and non-degenerate $[n,k]$ projective systems on the other hand. A non-degenerate $[n,k]$ projective system is simply a collection of $n$ points in projective space $\mathbb{P}^{k-1}$ satisfying the condition that no hyperplane of $\mathbb{P}^{k-1}$ contains a

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Wang, Juan, Qianqian Wu, Junfeng Guan, Peng Zhang, Hongyuan Fang, and Shaowei Hu. "Numerical Simulation on Size Effect of Fracture Toughness of Concrete Based on Mesomechanics." Materials 13, no. 6 (2020): 1370. http://dx.doi.org/10.3390/ma13061370.

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The fracture performance of concrete is size-dependent within a certain size range. A four-phase composite material numerical model of mesofracture considering a mortar matrix, coarse aggregates, an interfacial transition zone (ITZ) at the meso level and the initial defects of concrete was established. The initial defects were assumed to be distributed randomly in the ITZ of concrete. The numerical model of concrete mesofracture was established to simulate the fracture process of wedge splitting (WS) concrete specimens with widths of 200–2000 mm and three-point bending (3-p-b) concrete specime

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Niven, John F., Michel B. Johnson, Alex Bourque, et al. "Magnetic phase transitions and magnetic entropy in the XY antiferromagnetic pyrochlores (Er 1− x Y x ) 2 Ti 2 O 7." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2171 (2014): 20140387. http://dx.doi.org/10.1098/rspa.2014.0387.

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We present the results of experimental determination of the heat capacity of the pyrochlore Er 2 Ti 2 O 7 as a function of temperature (0.35–300 K) and magnetic field (up to 9 T), and for magnetically diluted solid solutions of the general formula (Er 1− x Y x ) 2 Ti 2 O 7 ( x ≤0.471). On either doping or increase of magnetic field, or both, the Néel temperature first shifts to lower temperature until a critical point above which there is no well-defined transition but a Schottky-like anomaly associated with the splitting of the ground state Kramers doublet. By taking into account details of t

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Pacetti, Ariel, and Gonzalo Tornaría. "Shimura correspondence for level p2 and the central values of L-series, II." International Journal of Number Theory 10, no. 07 (2014): 1595–635. http://dx.doi.org/10.1142/s179304211450047x.

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Given a Hecke eigenform f of weight 2 and square-free level N, by the work of Kohnen, there is a unique weight 3/2 modular form of level 4N mapping to f under the Shimura correspondence. Furthermore, by the work of Waldspurger the Fourier coefficients of such a form are related to the quadratic twists of the form f. Gross gave a construction of the half integral weight form when N is prime, and such construction was later generalized to square-free levels. However, in the non-square free case, the situation is more complicated since the natural construction is vacuous. The problem being that t

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Arone, Gregory Z., and D. Lukas B. Brantner. "The action of Young subgroups on the partition complex." Publications mathématiques de l'IHÉS 133, no. 1 (2021): 47–156. http://dx.doi.org/10.1007/s10240-021-00123-7.

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AbstractWe study the restrictions, the strict fixed points, and the strict quotients of the partition complex $|\Pi_{n}|$ | Π n | , which is the $\Sigma_{n}$ Σ n -space attached to the poset of proper nontrivial partitions of the set $\{1,\ldots,n\}$ { 1 , … , n } .We express the space of fixed points $|\Pi_{n}|^{G}$ | Π n | G in terms of subgroup posets for general $G\subset \Sigma_{n}$ G ⊂ Σ n and prove a formula for the restriction of $|\Pi_{n}|$ | Π n | to Young subgroups $\Sigma_{n_{1}}\times \cdots\times \Sigma_{n_{k}}$ Σ n 1 × ⋯ × Σ n k . Both results follow by applying a general method

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Gong, Shuang, Zhen Wang, and Lei Zhou. "Dynamic fracture mechanics and energy distribution rate response characteristics of coal containing bedding structure." PLOS ONE 16, no. 6 (2021): e0247908. http://dx.doi.org/10.1371/journal.pone.0247908.

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To investigate the influence of bedding structure and different loading rates on the dynamic fracture characteristics and energy dissipation of Datong coal, a split Hopkinson bar was used to obtain the fracture characteristics of coal samples with different bedding angles. The process of crack initiation and propagation in Datong coal was recorded by the high-speed camera. The formula for the model I fracture toughness of the transversely isotropic material is obtained on the basis of the finite element method (FEM) together with the J-integral. By comparing the incident energy, absorbed energ

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Li, Ting, Tao Wang, Ye-Bing Wang, et al. "Experimental observation of quantum tunneling in shallow optical lattice." Acta Physica Sinica 71, no. 7 (2022): 073701. http://dx.doi.org/10.7498/aps.71.20212038.

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For a one-dimensional optical lattice clock built in the horizontal direction, when the stability and uncertainty of the system reach the order of 10<sup>–18</sup> or more, the clock frequency shift caused by the quantum tunneling effect becomes not negligible. In the shallow optical lattice, the quantum tunneling effect will cause the clock transition spectrum to be significantly broadened. So, in this paper the quantum tunneling phenomenon in the shallow optical lattice is studied, laying a foundation for the evaluation of uncertainty of <sup>87</sup>Sr atomic optical

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Liu, Xianshan, Man Li, Nandou Zeng, and Tao Li. "Investigation on Nonlinear Flow Behavior through Rock Rough Fractures Based on Experiments and Proposed 3-Dimensional Numerical Simulation." Geofluids 2020 (November 9, 2020): 1–34. http://dx.doi.org/10.1155/2020/8818749.

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Rock fractures as the main flow channels, their morphological features, and spatial characteristics deeply influence the seepage behavior. Reservoir sandstones as a case study, four splitting groups of fractures with different roughness were scanned to get the geometric features, and then the seepage experiments were taken to analyze the relationship of the pressure gradient ∇ P and flow rate Q , and the critical Reynolds number( Re c ) and wall friction factor ( f ) were determined to explain the translation of linear seepage to nonlinear seepage condition. Based on the scanning cloud data of

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Talanov, Mikhail V. "Group-theoretical analysis of 1:3 A-site-ordered perovskite formation." Acta Crystallographica Section A Foundations and Advances 75, no. 2 (2019): 379–97. http://dx.doi.org/10.1107/s2053273318018338.

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The quadruple perovskites AA′3 B 4 X 12 are characterized by an extremely wide variety of intriguing physical properties, which makes them attractive candidates for various applications. Using group-theoretical analysis, possible 1:3 A-site-ordered low-symmetry phases have been found. They can be formed from a parent Pm{\bar 3}m perovskite structure (archetype) as a result of real or hypothetical (virtual) phase transitions due to different structural mechanisms (orderings and displacements of atoms, tilts of octahedra). For each type of low-symmetry phase, the full set of order parameters (pr

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