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ALGEBRAIC STRUCTURE OF ABELIAN GROUPS INDUCED BY CONTINUOUS HOMOMORPHIC IMAGES TO COMPACT GROUPS (Recent Progress in General Topology and its Related Fields)

ALGEBRAIC STRUCTURE OF ABELIAN GROUPS INDUCED BY CONTINUOUS HOMOMORPHIC IMAGES TO COMPACT GROUPS (Recent Progress in General Topology and its Related Fields)
As usual, ℤ and ℕ denote the integer and natural numbers respectively, we also let ℕ⁺ = ℕ {0}. Given a group we shall denote by ℯ its neutral element. We say that a group G is torsion if every element of G is of finite order. A group G is bounded if there exists a positive integer n satisfying gⁿ = ℯ for every g ∈ G. We shall use the bold letters P and
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A Super‐Adhesive Air Filter With Capillarity‐Mediated Spontaneous Particle Absorption via Dynamic Bond Exchange

Advanced Materials, EarlyView.
We address the inherently weak particle adhesion of conventional air filters by coating a dynamically crosslinked adhesive layer that delivers capillarity‐driven strong adhesion and particle absorption mediated by dynamic bond exchange. The resulting enhancement in particle adhesion enables efficient ultrafast (up to 20 m s−1) and omnidirectional ...
Junyong Park, Hyeri Jeon, Hyunwoong Park, Ji Min Lee, Yeomyung Yoon, Gyeong Hwan Choi, Sazzadul A. Rahat, Dong Wook Lee, Sohdam Jeong, Jonathan T. Pham, Chae Bin Kim, Sanghyuk Wooh   +11 more
wiley   +1 more source

Phase Engineering of Nanomaterials (PEN): Evolution, Current Challenges, and Future Opportunities

Advanced Materials, EarlyView.
This review summarizes the synthesis, phase transition, advanced characterization spanning ex situ to in situ and operando techniques, and diverse applications of phase engineering of nanomaterials (PEN). It further outlines key challenges and future opportunities, such as phase stability, architecture control, and artificial intelligence (AI)‐driven ...
Ye Chen, Zhanxi Fan, Jingjie Ge, Qiyuan He, Zhuangchai Lai, Jiawei Liu, Chaoliang Tan, Hua Zhang   +7 more
wiley   +1 more source

Sea Urchin‐Inspired Immuno‐Instructive Ionic Flow Drives MSCs‐Macrophage Communication to Promote Bone Regeneration

Advanced Materials, EarlyView.
ABSTRACT Bone tissue regeneration is a complex physiological process dependent on the spatiotemporal coordination of immune cells and stem cells. Conventional research primarily elucidates the mechanism through which materials facilitate bone formation by initially modulating macrophages and subsequently encouraging the osteogenic differentiation of ...
Yang Lu, Kun Su, Daqian Liu, Chunyu Liu, Muyan Qin, Shuaijie Li, Pengfei Tian, Yansong Wang, Yingbo Wang, Lei Chu, Xu Cui, Haobo Pan   +11 more
wiley   +1 more source

Representation of Topology Using Homology Groups and Its Application to Structural Optimization : Fitness Value Based upon Topology for Unanalyzable Structures Generated in Genetic Algorithm and Its Effect on Performance of Optimization

Representation of Topology Using Homology Groups and Its Application to Structural Optimization : Fitness Value Based upon Topology for Unanalyzable Structures Generated in Genetic Algorithm and Its Effect on Performance of Optimization
application/pdf Journal Article Genetic algorithm (GA) is one of the most useful methods to optimize topology of structures. The performance of GA, however, deeply depends upon a rule of coding from a structure to a string (a chromosome), which must be decided before the execution of GA.
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Topological Point Defects in SmC* Liquid Crystals Under Mechanical Disturbance

Advanced Materials Interfaces, EarlyView.
Tangetial air jet shear inducess island formation and nucleates topological point defects in uniform SmC films. Island bounded by edge dislocation loops shrink and transform into isolated point defects under continued shear. Mechanical perturbatio provides a controllable route for defect engineering in smectric liquid crystal thin films.
Gunganist Kongklad, Vandana Molahalli, Apichart Pattanaporkratana, Nattaporn Chattham   +3 more
wiley   +1 more source

Advanced Design for Weakly Coupled Resonators by Automatic Active Optimization

Advanced Materials Technologies, EarlyView.
An Automatic Active Optimization (AAO) strategy integrates machine learning predictors and genetic algorithms in a closed‐loop workflow. By iteratively expanding its dataset with new discoveries, AAO overcomes the limits of conventional methods. This approach finds superior microstructural designs beyond the initial sample space. We demonstrate this on
Wei Yue, Yuan Gao, Fanping Sui, Jason Wang, Megan Teng, Peggy Tsao, Huicong Deng, Yande Peng, Liwei Lin   +8 more
wiley   +1 more source

Ductility Tuning via Cluster Network Characteristics of Porous Components

Advanced Materials Technologies, EarlyView.
Network optimization via cluster characteristics induced by interaction of stress concentration is proposed, demonstrating increased cluster size and dispersion in non‐uniform porous components. The optimized structures exhibit, for the first time, that enhanced ductility and damage progression is controllable through zigzag cluster network designed by
Ryota Toyoba, Yuichi Otsuka, Ian J Davies, Naritoshi Aoyagi, Yukio Miyashita   +4 more
wiley   +1 more source

Transducers Across Scales and Frequencies: A System‐Level Framework for Multiphysics Integration and Co‐Design

Advanced Materials Technologies, EarlyView.
Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu, Mengyao Xiao, Zhouli Sui, Yinpeng Wang, Daoye Zheng, Yuxin Liu, Luwei Wang, Huajun Liu, Chengkuo Lee   +8 more
wiley   +1 more source

ON THE STRUCTURE OF CERTAIN LOCALLY COMPACT TOPOLOGICAL GROUPS

, 2010
WU TA-SUN, K. Hofmann
semanticscholar   +1 more source