Article
Chemistry, Inorganic & Nuclear
Shijun Qin, Yi-Ying Chin, Bowen Zhou, Zhehong Liu, Xubin Ye, Jia Guo, Guangxiu Liu, Chien-Te Chen, Zhiwei Hu, Youwen Long
Summary: A 4H-type BaMnO3 single crystal was prepared using the floating zone method combined with high-pressure treatment, exhibiting a hexagonal structure with a long-range antiferromagnetic phase transition. Increasing the synthesis pressure to 20 GPa resulted in a new polymorphic phase with different lattice parameters and magnetic properties, forming a 6H structure with two distinct long-range AFM orderings at lower temperatures.
INORGANIC CHEMISTRY
(2021)
Article
Statistics & Probability
Christoph Alexander Weitkamp, Katharina Proksch, Carla Tameling, Axel Munk
Summary: In this article, a statistical theory for object matching is proposed based on a lower bound of the Gromov-Wasserstein distance. The method models general objects as metric measure spaces and introduces a simple and efficiently computable asymptotic statistical test for pose invariant object discrimination. The theory is validated through Monte Carlo simulations and applied to structural protein comparisons.
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
(2022)
Review
Environmental Sciences
Xianxiang Qin, Yanning Zhang, Ying Li, Yinglei Cheng, Wangsheng Yu, Peng Wang, Huanxin Zou
Summary: This paper provides a systematic survey and analysis of distance measures in polarimetric synthetic aperture radar (PolSAR) image data, and offers advice for choosing distances in algorithm design. It serves as a reference for researchers in PolSAR image processing, analysis, and related fields.
Article
Mathematics, Interdisciplinary Applications
Bing Zhao, Jiaqi Fan, Lifeng Xi
Summary: This study focuses on the geodesic metric of the limit space and the average distance limit of renormalized Lindstrom Snowflake networks, highlighting the differences from the Euclidean metric. By simplifying geodesic patterns using the dihedral group, a total of 10,850 patterns were obtained for calculation purposes.
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY
(2021)
Article
Chemistry, Inorganic & Nuclear
Yoshiyuki Inaguma, Moemi Oyanagi, Koichiro Ueda
Summary: This study successfully synthesized complex metal fluorides through reactions between metal and solid-state fluorine sources. The synthesis route was found to be applicable for the preparation of other known compounds, highlighting its importance in the exploration of novel inorganic complex metal fluorides.
INORGANIC CHEMISTRY
(2022)
Article
Mathematics
Jiejun Cao, Xiaohui Zhang
Summary: The purpose of this paper is to investigate the geometric properties of certain hyperbolic type metrics, such as the increase in distances along Euclidean line segments, metric bounds, and the starlikeness and convexity of metric balls.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
(2023)
Article
Mathematics, Applied
Jialin Liu, Wotao Yin, Wuchen Li, Yat Tin Chow
Summary: The paper proposes a fast algorithm for calculating the Wasserstein-1 distance, based on multilevel primal-dual algorithms, and demonstrates its computational speed through numerical examples and complexity analysis. The proposed algorithm provides solutions within 0.2 to 1.5 seconds on a single CPU for commonly used image examples of size 512 x 512, which is much faster than state-of-the-art algorithms.
SIAM JOURNAL ON SCIENTIFIC COMPUTING
(2021)
Article
Computer Science, Software Engineering
Abhishek Madan, David I. W. Levin
Summary: This paper presents a new method for computing a smooth minimum distance function for point clouds, edge meshes, and triangle meshes. The method introduces blending weights and an improved acceleration approach to accurately approximate the true distance and evaluate efficiently. It also has the capability to handle sparsely sampled and noisy data, bridging the gap between data acquisition and simulation and enabling new applications such as direct, co-dimensional rigid body simulation using unprocessed lidar data.
ACM TRANSACTIONS ON GRAPHICS
(2022)
Article
Mathematics, Applied
Nicolo De Ponti, Sara Farinelli
Summary: In this paper, we prove two inequalities in the setting of RCD(K, infinity) spaces using similar techniques. The first one is an indeterminacy estimate involving the p-Wasserstein distance between the positive and negative parts of an L-infinity function and the measure of the interface between them. The second one is a conjectured lower bound on the p-Wasserstein distance between the positive and negative parts of a Laplace eigenfunction.
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
(2022)
Article
Physics, Multidisciplinary
Yicheng Bao, Scarlett S. Yu, Loic Anderegg, Sean Burchesky, Derick Gonzalez-Acevedo, Eunmi Chae, Wolfgang Ketterle, Kang-Kuen Ni, John M. Doyle
Summary: A fast transport method for ultracold molecules has been developed using an electronically focus-tunable lens combined with an optical lattice, achieving high transport speed and efficiency. This enables the realization of large numerical aperture optical access and long trap lifetimes required for many studies in the field of quantum information and quantum simulation.
NEW JOURNAL OF PHYSICS
(2022)
Article
Engineering, Electrical & Electronic
Min Han, Jiangming Kan, Gongping Yang, Xinghui Li
Summary: In this article, a novel ellipsoid fitting method using a combination of axial distance and Sampson distance is proposed. The method shows higher robustness against outliers and consistently high accuracy in comparison to other representative fitting methods.
IEEE TRANSACTIONS ON INSTRUMENTATION AND MEASUREMENT
(2023)
Article
History & Philosophy Of Science
Lu Chen
Summary: The mixed account introduces a new concept of distance in atomistic space, where local distances are considered primitive and other distances are derived from them. In response to Weyl's tile argument, the mixed account is argued to be a more natural solution compared to other accounts, such as Forrest's restricted version of the mixed account.
Article
Biochemistry & Molecular Biology
Lei Zhao, Rasmus Nielsen, Thorfinn Sand Korneliussen
Summary: Commonly used methods for inferring phylogenies are not well-suited for handling challenges associated with noisy, diploid sequencing data. To address this problem, we introduce two new probabilistic approaches, distAngsd-geno and distAngsd-nuc, that account for uncertainty in genotype calling and are specifically designed for next-generation sequencing data.
MOLECULAR BIOLOGY AND EVOLUTION
(2022)
Article
Astronomy & Astrophysics
S. Ranasinghe, D. Leahy
Summary: This study presents a table of distances for 215 supernova remnants (SNRs) and recalculates the distances for some of them. Due to observational constraints and selection effects, the observed number of SNRs is not sufficient to determine the total number or radial density function.
ASTROPHYSICAL JOURNAL
(2022)
Article
Astronomy & Astrophysics
S. Hackstein, M. Brueggen, F. Vazza
Summary: The study uses Bayesian statistics for joint inference of intergalactic baryon content and fast radio burst redshift distribution, revealing that the observed fast radio burst redshift distribution peaks at z less than or equal to 0.6. Conclusions regarding intergalactic baryon content from different instruments diverge, requiring additional adjustments to the observed distribution of host redshifts.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
(2021)