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SUMS OF DUAL TOEPLITZ PRODUCTS ON THE ORTHOGONAL COMPLEMENTS OF FOCK-SOBOLEV SPACES

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Acta Mathematica Scientia 2024年第3期44卷 810-822页

作者：陈泳 young Joo lee Department of Mathematics Hangzhou Normal UniversityHangzhou311121China Department of Mathematics Chonnam National UniversityGwangju61186Korea

We consider dual Toeplitz operators on the orthogonal complements of the FockSobolev spaces of all nonnegative real ***,for symbols in a certain class containing all bounded functions,we study the problem of when an operator which is finite sums of the dual Toeplitz products is compact or ***,for bounded symbols,we construct a symbol map and exhibit a short exact sequence associated with the C^(*)-algebra generated by all dual Toeplitz operators with bounded symbols.

关键词： dual Toeplitz operators Fock-Sobolev spaces symbol map

Difficulties, strategies, and recent research and development of layered sodium transition metal oxide cathode materials for high-energy sodium-ion batteries

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Journal of Energy Chemistry 2024年第3期90卷 40-57,I0003页

作者： Kouthaman Mathiyalagan Dongwoo Shin young-Chul lee Department of Nano Science and Technology Convergence Gachon University1342 Seongnam-DaeroSujeong-GuGyeonggi-DoSeongnam-Si 13120Republic of Korea Department of Bio Nano Technology Gachon University1342 Seongnam-DaeroSujeong-GuGyeonggi-DoSeongnam-Si 13120Republic of Korea

Energy-storage systems and their production have attracted significant interest for practical *** are the foundation of sustainable energy sources for electric vehicles(EVs),portable electronic devices(PEDs),*** recent decades,Lithium-ion batteries(LIBs) have been extensively utilized in largescale energy storage devices owing to their long cycle life and high energy ***,the high cost and limited availability of Li are the two main obstacles for *** this regard,sodium-ion batteries(SIBs) are attractive alternatives to LIBs for large-scale energy storage systems because of the abundance and low cost of sodium *** is one of the most important components in the battery,which limits cost and performance of a *** the classified cathode structures,layered structure materials have attracted attention because of their high ionic conductivity,fast diffusion rate,and high specific ***,we present a comprehensive review of the classification of layered structures and the preparation of layered ***,the review article discusses extensively about the issues of the layered materials,namely(1) electrochemical degradation,(2) irreversible structural changes,and(3) structural instability,and also it provides strategies to overcome the issues such as elemental phase composition,a small amount of elemental doping,structural design,and surface alteration for emerging *** addition,the article discusses about the recent research development on layered unary,binary,ternary,quaternary,quinary,and senary-based O3-and P2-type cathode materials for high-energy *** review article provides useful information for the development of high-energy layered sodium transition metal oxide P2 and O3-cathode materials for practical SIBs.

关键词： O3-type P2-type Cathode materials Sodium-ion batteries Layered structure

A Simple Embedding Method for the Laplace-Beltrami Eigenvalue Problem onImplicit Surfaces

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Communications on Applied Mathematics and Computation 2024年第2期6卷 1189-1216页

作者： young Kyu lee Shingyu Leung Department of Mathematics The Hong Kong University of Science and TechnologyClear Water BayHong KongChina

We propose a simple embedding method for computing the eigenvalues and eigenfunctions of the Laplace-Beltrami operator on implicit *** approach follows an embedding approach for solving the surface eikonal *** replace the differential operator on the interface with a typical Cartesian differential operator in the surface *** proposed algorithm is easy to implement and *** will give some two-and three-dimensional numerical examples to demonstrate the effectiveness of our proposed approach.

关键词： Laplace-Beltrami operator Level set method Implicit representation Eigenvalues Numerical PDEs

Advancements in hemostatic strategies for managing upper gastrointestinal bleeding: A comprehensive review

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World Journal of Gastroenterology 2024年第15期30卷 2087-2090页

作者： Ah young lee Joo young Cho Division of Gastroenterology Department of Internal MedicineCha Gangnam Medical CenterCha University College of MedicineSeoul 06135Korea

Upper gastrointestinal(GI)hemorrhage presents a substantial clinical *** management typically involves resuscitation and endoscopy within 24 h,although the benefit of very early endoscopy(leeding,preventing rebleeding,and using a multimodal approach encompassing endoscopic,pharmacological,angiographic,and surgical *** agents such as vasopressin,prostaglandins,and proton pump inhibitors are effective,but the increase in antithrombotic use has increased GI bleeding *** hemostasis,particularly for nonvariceal bleeding,employs techniques such as electrocoagu-lation and heater probes,with concerns over tissue injury from monopolar *** methods such as Hemospray and Endoclot show promise in creating mechanical tamponades but have ***,the first-line therapy includes thermal probes and hemoclips,with over-the-scope clips emerging for larger ulcer *** gold probe,combining bipolar electrocoagulation and injection,offers targeted coagulation but has faced device-related *** advancements involve combining techniques and improving endoscopic imaging,with studies exploring combined approaches showing *** research is crucial for developing standardized and effective hemorrhage management strategies.

关键词： Upper gastrointestinal bleeding Hemostasis Endoscopy Probe Spray Clip

Exploring the relationship between rarity and price of profile picture NFT: A formal concept analysis on the BAYC NFT collection

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BLOCKCHAIN-RESEARCH AND APPLICATIONS 2024年第2期5卷 140-150页

作者： lee, Heejung lee, Geun-Cheol Koo, Hoon-young Hanyang Univ Sch Interdisciplinary Ind Studies 222 Wangsimni Ro Seoul 04763 South Korea Konkuk Univ Coll Business Adm 120 Neungdong Ro Seoul 05029 South Korea Chungnam Natl Univ Sch Business 99 Daehak Ro Daejeon 34134 South Korea

Non-fungible token (NFT) is a digital asset whose ownership can be validated and controlled via blockchain technology. The NFT market is a rapidly growing field, and the rarity of NFT is an essential factor that affects its price, as scarcity leads to higher demand. This study focuses on the BAYC NFT collection, which is a successful and representative collection of profile picture NFT, and analyzes how rarity affects NFT prices. This paper investigates the relationship between the rarity and price of the BAYC NFT collection using formal concept analysis (FCA) method. The results show that rarity is a major factor influencing the price of NFT and the effect is more apparent in the medium rarity range. When rarity is very high or very low, other factors become significant determinants, such as the uniqueness and appeal of NFT, and even the naturalness of NFT images. This research highlights the importance of considering rarity when assessing NFT and underscores the need for a comprehensive evaluation of NFT rarity. This study also provides valuable insights into the NFT market and can be useful for NFT investors, creators, and collectors. Furthermore, the usefulness of FCA as a tool for quantifying NFT rarity and evaluating NFT price was demonstrated.

关键词： NFT valuation Formal concept analysis Rarity

Clinical diagnostic advances in intestinal anastomotic techniques:Hand suturing,stapling,and compression devices

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World Journal of Gastrointestinal Surgery 2024年第5期16卷 1231-1234页

作者： Ah young lee Joo young Cho Division of Gastroenterology Department of Internal MedicineCha Gangnam Medical CenterCha University College of MedicineSeoul 06135South Korea

The development of intestinal anastomosis techniques,including hand suturing,stapling,and compression anastomoses,has been a significant advancement in surgical *** methods aim to prevent leakage and minimize tissue fibrosis,which can lead to stricture *** healing process involves various phases:hemostasis and inflammation,proliferation,and *** staplers and sutures can cause inflammation and fibrosis due to the release of profibrotic *** anastomosis devices,including those made of nickel-titanium alloy,offer a minimally invasive option for various surgical challenges and have shown safety and ***,despite advancements,anastomotic techniques are evaluated based on leakage risk,with complications being a primary *** devices like Magnamosis use magnetic rings for compression anastomosis,demonstrating greater strength and patency compared to *** technology is also being explored for other medical *** there are promising results,particularly in animal models,the realworld application in humans is limited,and further research is needed to assess their safety and practicality.

关键词： Anastomoses Diagnostic advances,Anastomotic techniques Technique Intestine

Novel fabrication techniques for ultra-thin silicon based flexible electronics

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International Journal of Extreme Manufacturing 2024年第4期6卷 116-149页

作者： Ju young lee Jeong Eun Ju Chanwoo lee Sang Min Won Ki Jun Yu School of Electrical and Electronic Engineering Yonsei University50 Yonsei-roSeodaemunguSeoul 03722Republic of Korea Department of Electrical and Computer Engineering Sungkyunkwan UniversitySuwon 16419Republic of Korea YU-Korea Institute of Science and Technology(KIST)Institute Yonsei University50Yonsei-roSeodaemun-guSeoul 03722Republic of Korea

Flexible electronics offer a multitude of advantages,such as flexibility,lightweight property,portability,and high *** unique properties allow for seamless applications to curved and soft surfaces,leading to extensive utilization across a wide range of fields in consumer *** applications,for example,span integrated circuits,solar cells,batteries,wearable devices,bio-implants,soft robotics,and biomimetic ***,flexible electronic devices have been developed using a variety of materials such as organic,carbon-based,and inorganic semiconducting ***(Si)owing to its mature fabrication process,excellent electrical,optical,thermal properties,and cost efficiency,remains a compelling material choice for flexible ***,the research on ultra-thin Si in the context of flexible electronics is studied rigorously *** thinning of Si is crucially important for flexible electronics as it reduces its bending stiffness and the resultant bending strain,thereby enhancing flexibility while preserving its exceptional *** review provides a comprehensive overview of the recent efforts in the fabrication techniques for forming ultra-thin Si using top-down and bottom-up approaches and explores their utilization in flexible electronics and their applications.

关键词： flexible electronics silicon fabrication technique top-down approach bottom-up approach

Effect of characteristics and distribution of Mg_(17)Al_(12)precipitates on tensile and bending properties of high-Al-containing Mg alloys

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Journal of Magnesium and Alloys 2024年第2期12卷 779-793页

作者： Sumi Jo Gyo Myeong lee Jong Un lee young Min Kim Sung Hyuk Park School of Materials Science and Engineering Kyungpook National UniversityDaegu 41566Republic of Korea Department of Magnesium Korea Institute of Materials ScienceChangwon 51508Republic of Korea

This study investigates the effect of characteristics and distribution of Mg_(17)Al_(12)precipitates on the uniaxial tensile and three-point bending properties of extruded Mg alloys containing high Al *** extruded Mg–9Al–1Zn–0.3Mn(AZ91)alloy contains lamellar-structured Mg_(17)Al_(12)discontinuous precipitates along the grain boundaries,which are formed via static precipitation during natural air *** extruded Mg–11Al–1Zn–0.3Mn(AZ111)alloy contains spherical Mg_(17)Al_(12)precipitates at the grain boundaries and inside the grains,which are formed via dynamic precipitation during *** to inhomogeneous distribution of precipitates,the AZ111 alloy consists of two different precipitate regions:precipitate-rich region with numerous precipitates and finer grains and precipitate-scarce region with a few precipitates and coarser *** AZ111 alloy exhibits a higher tensile strength than the AZ91 alloy because its smaller grain size and more abundant precipitates result in stronger grain-boundary hardening and precipitation hardening effects,***,the tensile elongation of the AZ111 alloy is lower than that of the AZ91 alloy because the weak cohesion between the dynamic precipitates and the matrix facilitates the crack initiation and *** bending,a macrocrack initiates on the outer surface of bending specimen in both *** AZ111 alloy exhibits higher bending yield strength and lower failure bending strain than the AZ91 *** bending specimens of the AZ91 alloy have similar bending formability,whereas those of the AZ111 alloy exhibit considerable differences in bending formability and crack propagation behavior,depending on the distribution and number density of precipitates in the *** bending specimens of the AZ111 alloy,it is found that the failure bending strain(ε_(f,bending))is inversely proportional to the area fraction of precipitates in the outer zone of bending specimen(A_(ppt)),with a relation

关键词： Mg–Al alloy Extrusion Bending Precipitation Microstructure

Multiphase cooperation for multilevel strain accommodation in a single-crystalline BiFeO3 thin film

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Chinese Physics B 2024年第9期33卷 57-66页

作者： Wooseon Choi Bumsu Park Jaejin Hwang Gyeongtak Han Sang-Hyeok Yang Hyeon Jun lee Sung Su lee Ji young Jo Albina Y.Borisevich Hu young Jeong Sang Ho Oh Jaekwang lee young-Min Kim Department of Energy Science Sungkyunkwan University(SKKU)Suwon 16419Republic of Korea Samsung Electronics Hwaseong 18448Republic of Korea Department of Physics Pusan National UniversityBusan 46241Republic of Korea LG Energy Solution Daejeon 34122Republic of Korea Department of Materials Science and Engineering Kangwon National UniversityRepublic of Korea School of Materials Science and Engineering Gwangju Institute of Science and Technology(GIST)Gwangju 61005Republic of Korea Center for Nanophase Materials Sciences Oak Ridge National LaboratoryTN 37831USA Graduate School of Semiconductor Materials and Devices Engineering Ulsan National Institute of Science and Technology(UNIST)Ulsan 44919Republic of Korea Department of Energy Engineering KENTECH Institute for Energy Materials and DevicesKorea Institute of Energy Technology(KENTECH)Naju 58330Republic of Korea

The functionalities and diverse metastable phases of multiferroic BiFeO3(BFO)thin films depend on the misfit *** mixed phase-induced strain relaxation in multiphase BFO thin films is well known,it is unclear whether a singlecrystalline BFO thin film can accommodate misfit strain without the involvement of its ***,understanding the strain relaxation behavior is key to elucidating the lattice strain–property *** this study,a correlative strain analysis based on dark-field inline electron holography(DIH)and quantitative scanning transmission electron microscopy(STEM)was performed to reveal the structural mechanism for strain accommodation of a single-crystalline BFO thin *** nanoscale DIH strain analysis results indicated a random combination of multiple strain states that acted as a primary strain relief,forming irregularly strained *** STEM-based bond length measurement of the corresponding strained nanodomains revealed a unique strain accommodation behavior achieved by a statistical combination of multiple modes of distorted structures on the unit-cell *** globally integrated strain for each nanodomain was estimated to be close to􀀀1.5%,irrespective of the nanoscale strain states,which was consistent with the fully strained BFO film on the SrTiO3 *** functional theory calculations suggested that strain accommodation by the combination of metastable phases was energetically favored compared to single-phase-mediated *** discovery allows a comprehensive understanding of strain accommodation behavior in ferroelectric oxide films,such as BFO,with various low-symmetry polymorphs.

关键词： BiFeO_(3) scanning transmission electron microscopy electron holography multiferroic material strain mapping