Article
Multidisciplinary Sciences
Hung Le Quang, Qi-Chang He, Nicolas Auffray
Summary: This study investigates the symmetry properties of sixth-order elasticity tensors and reveals 11 reflection symmetry classes with respect to symmetry planes. This classification is distinct from the one obtained with respect to the orthogonal group.
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2021)
Article
Materials Science, Multidisciplinary
Marc Olive, Boris Kolev, Rodrigue Desmorat, Boris Desmorat
Summary: The study introduces effective conditions to identify the symmetry class of an elasticity tensor and proves that these classes are affine algebraic sets, providing a minimal set of generators. Additionally, an original generalized cross-product is introduced on totally symmetric tensors.
MATHEMATICS AND MECHANICS OF SOLIDS
(2022)
Article
Chemistry, Physical
Yu Pan, Congcong Le, Bin He, Sarah J. Watzman, Mengyu Yao, Johannes Gooth, Joseph P. Heremans, Yan Sun, Claudia Felser
Summary: YbMnBi2, a canted antiferromagnet, demonstrates a large anomalous Nernst effect (ANE) conductivity, making it a promising candidate for thermoelectric energy conversion applications. Its unique structure guarantees a large ANE and significantly lower magnetization compared to general ferromagnets.
Article
Geosciences, Multidisciplinary
Ling Su, Chanchan Gao, Xiaoli Ren, Fengying Zhang, Shanshan Cao, Shiqing Zhang, Tida Chen, Mengqing Liu, Bingchuan Ni, Min Liu
Summary: This study proposes a method for assessing the spatial representativeness of air quality monitoring networks and applies it to particulate matter observation in mainland China. The results show regional variations in representative areas among monitoring stations, but the overall network can effectively represent the spatial distribution of air quality. The addition of new monitoring stations can improve the spatial representativeness.
GEOSCIENCE FRONTIERS
(2022)
Article
Mathematics, Interdisciplinary Applications
Jayadev S. Athreya, Cristian Cobeli, Alexandru Zaharescu
Summary: This article investigates the set of visible lattice points in multidimensional hypercubes, combining geometric, probabilistic, and number-theoretic themes. The research demonstrates that nearly all vertices, under certain conditions, form almost equilateral triangles with sides nearly equal to root dN/root 6, while the typical angle between rays from the visual spectra approaches root 7/4 as d and N/d approach infinity. Additionally, the article introduces a number-theoretic constant, Lambda(d,k), representing the limit probability of visibility between vertices of a K-polytope in lattice W.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Engineering, Multidisciplinary
A. A. Bulavskaya, E. A. Bushmina, A. A. Grigorieva, A. S. Ermakova, I. A. Miloichikova, S. G. Stuchebrov
Summary: A method of multiangle scanning has been developed to measure the cross-sectional beam intensity distribution. The method reconstructs the beam profiles obtained at different angles in a plane perpendicular to the beam axis. A numerical simulation helped determine the optimal number of projections, which is ten if errors are disregarded. The technique was used to determine the optimal number of projections for an experimental setup, which were found to be 18.
INSTRUMENTS AND EXPERIMENTAL TECHNIQUES
(2023)
Article
Horticulture
Lixin Yue, Shujiang Zhang, Lingkui Zhang, Yujia Liu, Feng Cheng, Guoliang Li, Shifan Zhang, Hui Zhang, Rifei Sun, Fei Li
Summary: This study investigated the heterotic prediction of hybrid performance in Chinese cabbage using 91 hybrids produced from a half-diallel cross of 14 parental lines. The results showed that genetic distance and parental phenotype can be used to predict heterosis. Whole-genome SNP markers were found to be effective tools for evaluating genetic distance and selecting parental lines in breeding Chinese cabbage.
SCIENTIA HORTICULTURAE
(2022)
Article
Computer Science, Information Systems
Alan Anwer Abdulla, Mariwan Wahid Ahmed
Summary: This study develops an exemplar-based image inpainting algorithm to fill-in missing regions caused by various damages, which shows superior performance over some state-of-the-art approaches in terms of both objective and subjective measures through comprehensive experiments.
MULTIMEDIA TOOLS AND APPLICATIONS
(2021)
Article
Chemistry, Multidisciplinary
Yujuan Zou, Zhijian Wang
Summary: This study proposes an improved density peak clustering algorithm, ConDPC, which incorporates the idea of connectivity to enhance clustering accuracy and address the limitations of the original algorithm in certain scenarios. Experimental results validate the effectiveness of ConDPC.
APPLIED SCIENCES-BASEL
(2022)
Article
Mathematics
Enrico Celeghini, Manuel Gadella, Mariano A. del Olmo
Summary: This paper reviews the generalization of Euclidean and pseudo-Euclidean groups in quantum mechanics. The study finds that these groups give rise to a more general family of groups, with Euclidean and pseudo-Euclidean groups as subgroups. The paper also constructs generalized Hermite functions on multidimensional spaces and investigates their transformation laws under Fourier transform.
Article
Genetics & Heredity
Ru Li, Min Tian, Qiong He, Lugang Zhang
Summary: In Chinese cabbage breeding, hybrids have played a significant role in improving the performance of offspring compared to their inbred parents. Leaf transcriptome data can be used as markers to predict hybrid performance and heterosis in Chinese cabbage.
Article
Materials Science, Multidisciplinary
Xinyuan Shao, Peter D. Folkow, Morteza Eskandari-Ghadi
Summary: This paper aims to provide the closest fourth-order isotropic, cubic, and transversely isotropic elasticity tensors with higher symmetries for a general anisotropic elasticity tensor. By using different generalized Euclidean distances, explicit formulations are given for determining the closest tensors, and more complex coupled equations are provided for solving the coefficients of the closest transversely isotropic elasticity tensors. Numerical examples illustrate the material coefficients, error measures, and the influence of the gauge parameter on the results.
JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES
(2021)
Article
Mathematics, Applied
Gang Wang, Linxuan Sun, Xueyong Wang
Summary: This paper establishes upper and lower bounds on the minimum M-eigenvalue of elasticity Z-tensors without irreducible conditions.
It provides sufficient conditions for strong ellipticity based on the lower bound estimations for the minimum M-eigenvalue.
Numerical examples are used to demonstrate the efficiency of the proposed results.
JOURNAL OF APPLIED ANALYSIS AND COMPUTATION
(2021)
Article
Computer Science, Information Systems
Mingxiu Cai, Minghua Wan, Guowei Yang, Zhangjing Yang, Hao Zheng, Hai Tan, Mingwei Tang
Summary: The proposed method aims to address the common defects of subspace mapping methods by introducing a novel structure preserving projections learning via low-rank embedding (SPPL-LRE) algorithm. It achieves this by extracting principal component information, regressing it to classwise block-diagonal structure, and imposing a strong L2 norm constraint on the projection. The method is shown to be more robust and effective than other state-of-the-art methods through extensive experiments.
INFORMATION SCIENCES
(2023)
Article
Computer Science, Information Systems
Xinmin Tao, Wenjie Guo, Chao Ren, Qing Li, Qing He, Rui Liu, Junrong Zou
Summary: The study introduces a novel density peak clustering algorithm using a globally and locally consistent adjustable manifold distance, to effectively capture clusters with different densities and sizes. Experimental results demonstrate that this method outperforms other clustering techniques with statistical significance.
INFORMATION SCIENCES
(2021)
Article
Mathematics
Ioan Bucataru
JOURNAL OF GEOMETRIC ANALYSIS
(2016)
Article
Mathematics, Applied
Ioan Bucataru, Oana Constantinescu
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY
(2015)
Article
Physics, Mathematical
Lucia Bua, Ioan Bucataru, Manuel de Leon, Modesto Salgado, Silvia Vilarino
REPORTS ON MATHEMATICAL PHYSICS
(2015)
Article
Mathematics
Ioan Bucataru, Zoltan Muzsnay
COMPTES RENDUS MATHEMATIQUE
(2016)
Article
Mathematics, Applied
Ioan Bucataru, Tamas Milkovszki, Zoltan Muzsnay
MEDITERRANEAN JOURNAL OF MATHEMATICS
(2016)
Article
Mathematics, Applied
Ioan Bucataru, Georgeta Cretu, Ebtsam H. Taha
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
(2018)
Article
Mathematics, Applied
Ioan Bucataru, Zoltan Muzsnay
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
(2013)
Article
Mathematics
Ioan Bucataru, Zoltan Muzsnay
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY
(2014)
Article
Mathematics, Applied
Ioan Bucataru
JOURNAL OF GEOMETRIC MECHANICS
(2013)
Article
Mathematics
Ioan Bucataru, Georgeta Cretu
JOURNAL OF GEOMETRIC ANALYSIS
(2020)
Article
Mathematics, Applied
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
Summary: In this study, two non-Riemannian curvature tensors, chi-curvature and mean Berwald curvature, are used to characterize a class of Finsler metrics with first integrals. This class also encompasses Finsler metrics of constant flag curvature.
JOURNAL OF GEOMETRY AND PHYSICS
(2021)
Article
Mathematics
Ioan Bucataru, Oana Constantinescu, Georgeta Cretu
Summary: In this study, we prove that certain non-Riemannian geometric structures in a Finsler manifold with vanishing chi-curvature, particularly with constant flag curvature, are geodesically invariant and as a result, they give rise to a set of non-Riemannian first integrals. These first integrals can be expressed either in terms of the mean Berwald curvature or as functions of the mean Cartan torsion and the mean Landsberg curvature.
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
(2022)
Article
Mathematics, Applied
Ioan Bucataru
Summary: Two equivalent Finsler metrics determine a set of invariant volume forms, with their proportionality factors being geodesically invariant functions. These quantities are common for the entire projective class.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
(2022)
Article
Mathematics
Ioan Bucataru, Dan Gregorian Fodor
Summary: This paper proves the algebraic relationship between the constant flag curvature of a Finsler metric and the curvature of the induced nonlinear connection, which serves as an obstacle to the formal integrability of operators in Finsler geometry. Furthermore, this algebraic characterization provides another proof for the Finslerian version of Beltrami's theorem.
BEITRAGE ZUR ALGEBRA UND GEOMETRIE-CONTRIBUTIONS TO ALGEBRA AND GEOMETRY
(2021)
Article
Mathematics
Ioan Bucataru, Georgeta Cretu
PUBLICATIONES MATHEMATICAE-DEBRECEN
(2020)