Article
Multidisciplinary Sciences
Rovin B. Santos, Lilibeth D. Valdez, Ma. Lailani B. Walo
Summary: In this research, the notion of symmetric colorings is related to perfect and semiperfect colorings. Specifically, we identify the symmetry in perfect and semiperfect colorings in relation to subgroups containing elements' squares in G, in H, and in G\H. Examples of colored planar patterns representing symmetric perfect and symmetric semiperfect colorings of some groups are also shown.
Article
Engineering, Multidisciplinary
Yuliya Zelenyuk
Summary: This paper discusses the concept of r-colorings and symmetric r-colorings of finite groups, as well as calculates the number of symmetric r-colorings and the number of equivalence classes of symmetric r-colorings in elementary Abelian p-groups.
ALEXANDRIA ENGINEERING JOURNAL
(2021)
Article
Geology
Xiang Lai, Cuihua Chen, Yulong Yang, Shuyue Liu, Yin Li, Jiaxin Wang, Zhijiao Song, Ying Gu, Xiaojie Chen, Xiaodong Huang
Summary: This study attempts to reveal the relationship between the reflection color of sphalerite and its trace elements through quantitative analysis. The results show that different genetic types of sphalerites have different color indices and the reflection color index can be used to distinguish the genetic type of deposits. Additionally, the reflection color index of sphalerite can be used as a geological thermometer to estimate mineralization temperature.
ORE GEOLOGY REVIEWS
(2023)
Article
Mathematics, Interdisciplinary Applications
Ian Stewart
Summary: The paper investigates the classification and impact of balanced colorings of networks on synchronization patterns, analyzing balanced colorings of two types of networks and providing examples of exotic colorings. By studying the balanced colorings of different types of networks, it explores their effects on the existence and stability of branches for model ODEs.
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
(2021)
Article
Chemistry, Inorganic & Nuclear
Shota Hirayama, Koichiro Suekuni, Philipp Sauerschnig, Michihiro Ohta, Michitaka Ohtaki
Summary: In this study, the thermoelectric properties of Cu-S-based semiconducting compound and its hole-doped derivatives were synthesized and tested. Hole-carrier doping effectively reduced electrical resistivity and improved power factor. The Ti-doped compound showed better thermoelectric performance due to its low lattice thermal conductivity and improved power factor.
JOURNAL OF SOLID STATE CHEMISTRY
(2022)
Article
Mathematics
Hendrik Richter
Summary: Color symmetry is an extension of symmetry imposed by isometric transformations, assigning colors to geometrical objects based on their symmetry properties. This concept is applied to bio-inspired generative art, interpreting geometrical objects as motifs with consistent coloring. Motifs are obtained through design principles from stigmergy, with the design procedure and visual results discussed.
Article
Chemistry, Multidisciplinary
Xiaowei Feng, Ting Wang, Mengyuan Hao, Nichang Xue, Haidan Zhu, Yang Tian, Xiaoyan Cui
Summary: Visualizing chiral structures in solid materials is crucial but challenging. A Mueller matrix microscope (MMM) was used to visualize the helicoidal nano-assemblies in cellulose nanocrystal (CNC) films. Optical analysis through structural reconstruction by optical simulation revealed the complex structures in CNC films.
CHEMICAL COMMUNICATIONS
(2023)
Article
Chemistry, Inorganic & Nuclear
Xiaoman Kuang, Youhong Li, Meng Yang, Wen Dong, Jidong Leng
Summary: Two Ln(III) complexes and two Mn-II-Ln(III) clusters were synthesized and characterized. The Ln(III) complexes have a distorted geometric structure surrounded by HTMSA ligands. The Mn-II ions assemble the Ln(III) mononuclear complexes into trinuclear anion clusters. Magnetic studies reveal single-molecule magnet behavior in all the complexes. The photoluminescence spectra were also investigated and discussed in detail.
DALTON TRANSACTIONS
(2023)
Article
Engineering, Civil
Pei Zhang, Weiying Fan, Yao Chen, Jian Feng, Pooya Sareh
Summary: Symmetry provides desirable properties in both natural and man-made structures, but current research on engineering structure symmetry mostly relies on analytical methods that require tedious calculations. This paper successfully utilizes Convolutional Neural Networks to identify the symmetry group and order in planar engineering structures, improving efficiency in symmetry recognition.
ENGINEERING STRUCTURES
(2022)
Article
Astronomy & Astrophysics
J. P. Carlomagno, D. Gomez Dumm, N. N. Scoccola
Summary: The study uses a nonlocal PNJL model to analyze the features of strongly interacting matter in the presence of nonzero isospin chemical potential, describing the behavior of thermodynamic quantities and studying the phase diagram in the mu(I) - T plane. It is found that the system may be in an isospin symmetry broken phase under certain conditions, with results for the phase diagram being in better agreement with lattice QCD calculations than other theoretical approaches such as the local PNJL model.
Article
Engineering, Civil
Gang Xu, Tong Guo, Aiqun Li
Summary: This study describes the influence of hysteretic behavior on maximum inelastic displacement and explores equivalent linearization methods suitable for self-centering concrete structures. An empirical equivalent linearization method with better estimation accuracy than classic methods is proposed through dynamic nonlinear analysis and regression analysis. When applied to displacement-based design, the method meets the design targets and demonstrates superior self-centering and energy dissipation capacity.
ENGINEERING STRUCTURES
(2022)
Article
Materials Science, Multidisciplinary
Zhi Li, Roger S. K. Mong
Summary: The study introduced a framework for the topological characterization of non-Hermitian band structures, revealing new torsion invariants arising from the interplay between energy levels braiding and eigenstates topology, which are unstable and become trivialized with the addition of more bands.
Article
Chemistry, Multidisciplinary
Prasaanth Ravi Anusuyadevi, Ravi Shanker, Yuxiao Cui, Anastasia Riazanova, Mikael Jarn, Magnus P. Jonsson, Anna J. Svagan
Summary: Cellulose nanocrystals have the ability to form helical periodic structures, which generate structural colors preferentially reflecting left-handed circularly polarized light. By combining with a liquid crystal, the optical response can be modulated to achieve light reflection of both handedness with reversed spectral profiles. This study highlights the potential of hybrid cellulose systems to create advanced photoresponsive and polarization-tunable nanophotonics.
ADVANCED MATERIALS
(2021)
Article
Chemistry, Multidisciplinary
Qifeng Ruan, Wang Zhang, Hao Wang, John You En Chan, Hongtao Wang, Hailong Liu, Dianyuan Fan, Ying Li, Cheng-Wei Qiu, Joel K. W. Yang
Summary: Color changes can be achieved by straining photonic crystals or gratings embedded in stretchable materials, with trenches generating different colors due to variations in trench depth. Surface-relief elastomers can have multiple states accessible by mechanical straining, providing a promising application potential in optical data archival and anti-counterfeiting.
ADVANCED MATERIALS
(2022)
Article
Mathematics, Applied
Hemanshu Kaul, Jeffrey A. Mudrock
Summary: In this paper, we introduce a DP-coloring analogue of the chromatic polynomial called the DP color function and ask several fundamental open questions about it. The study shows that while the DP color function behaves similar to the list color function for some graphs, there are also some surprising differences. Additionally, the paper discusses the asymptotics of the difference between the fixed graph G's chromatic polynomial and DP-coloring.
ADVANCES IN APPLIED MATHEMATICS
(2021)
