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Effect of 5.25% Sodium Hypochlorite on Shear Bond Strength of Orthodontic Brackets Bonded with OBA-MCP
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作者 Nhi Le Hoda Rahimi +1 位作者 Richard D. Bloomstein Thomas J. Cangialosi 《Open Journal of Orthopedics》 2025年第1期1-14,共14页
Introduction: Bracket debonding is a frequent issue that clinicians encounter, leading to increased chair time, lost revenue, and material usage. In addition to patient compliance with their diet recommendations, the ... Introduction: Bracket debonding is a frequent issue that clinicians encounter, leading to increased chair time, lost revenue, and material usage. In addition to patient compliance with their diet recommendations, the preparation and conditioning of teeth for bonding significantly influence bond strength and consequently impact orthodontic treatment success and efficiency. Because of OBA-MCP’s (orthodontic bonding adhesive with modified calcium phosphate) decreased shear bond strength (SBS), the purpose of this study was to evaluate the effects of conditioning with 5.25% sodium hypochlorite (NaOCl) before etching in the bonding protocol. Materials and Methods: 90 extracted teeth were divided into 3 groups to be bonded with orthodontic brackets with different bonding protocols: 1) Transbond XT with regular bonding protocol (etch + prime + adhesive);2) OBA-MCP with regular bonding protocol;and 3) OBA-MCP with NaOCl prior to acid etching in the regular bonding protocol. SBS (in Newtons) were measured using an MTS universal testing machine with a custom jig to apply a vertical force onto the bracket and ARI (adhesive remnant index) scores were recorded for each sample after de-bond to rate the amount of adhesive remaining. Results: The addition of NaOCl to the bonding protocol statistically significantly increased the SBS of OBA-MCP to comparable levels to Transbond XT. The ARI scores showed that when NaOCl was added, more adhesive remained. Conclusion: The addition of NaOCl to the bonding protocol can increase the SBS of adhesives with historically weaker bond strengths. However, the increased amount of adhesive remaining and the increased time spent during bonding must be considered. Further testing can be done in vivo to demonstrate the practicality of this new procedure. 展开更多
关键词 Shear Bond Strength Sodium Hypochlorite Orthodontic brackets
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Design and Optimization of Solar Photovoltaic Brackets in Mountainous Areas Adapted to Complex Wind Environments
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作者 Aijun LIN Junwen TANG 《Asian Agricultural Research》 2024年第12期22-25,共4页
With the increasing global demand for renewable energy,the application of photovoltaic power generation in mountainous areas is gradually increasing.However,the complex wind environment in mountainous areas poses seve... With the increasing global demand for renewable energy,the application of photovoltaic power generation in mountainous areas is gradually increasing.However,the complex wind environment in mountainous areas poses severe challenges to the design and optimization of solar photovoltaic brackets.Traditional design methods are difficult to cope with the changeable wind speed and direction in mountainous areas,resulting in structural instability or material waste.Researchers have identified the key factors affecting wind response through parametric research and dynamic wind response analysis,so as to optimize the brackets design and improve its adaptability and stability in complex wind environments.In this paper,the complexity of wind speed,wind direction and turbulence characteristics in mountainous areas and their influence on brackets design are explored.Through static and dynamic wind load analysis,the geometrical shape and material selection of the bracket are optimized to enhance its wind resistance.The application of multi-objective optimization model and intelligent optimization algorithm provides an effective solution for the design of solar photovoltaic brackets,ensuring their safety and reliability in complex wind environments. 展开更多
关键词 Solar photovoltaic brackets Complex wind environment Optimization design Intelligent optimization algorithm
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Effect of Dietary Components on the Shear Bond Strength of Orthodontics Brackets after Thermal Aging
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作者 Philip Punzalan Tanya Al Talib +1 位作者 Anthony Fusco Neamat Hassan Abubakr 《Open Journal of Stomatology》 2024年第6期309-315,共7页
Introduction: The stability of orthodontic brackets throughout orthodontic treatment plays a critical role in the treatment’s effectiveness. The present in vitro study was designed to assess the impact of various die... Introduction: The stability of orthodontic brackets throughout orthodontic treatment plays a critical role in the treatment’s effectiveness. The present in vitro study was designed to assess the impact of various dietary components on the performance of orthodontic brackets. Methods: Metal orthodontic brackets were bonded to 66 extracted anterior teeth divided into groups based on the solution type: Milk, Gatorade, Cold Coffee, and a control group using water. Each group consisted of 20 teeth except for the control group, which included six teeth. The bracketed teeth were submerged in their respective solutions for 15 minutes three times daily at different intervals to mimic an in vivo environment and were stored in artificial saliva at room temperature (23?C). The specimens underwent artificial aging through 10,000 cycles of thermocycling (representing one clinical year) between 5?C and 55?C. Shade measurements were taken using a VITA Easy Shade device, capturing the classic shade and L*, a*, and b* values. Delta E values were calculated immediately post-bonding and after 7 days, 1 month, 1, and 2 clinical years. The shear bond strength of each bracket was measured using an ultra-tester machine. Results: After two clinical years, significant differences in ΔE color values were observed across all groups, with the most substantial change noted in teeth immersed in cold coffee. Brackets submerged in milk demonstrated lower shear bond strength than other solutions, whereas the control group exhibited the highest shear bond strength (P = 0.01). Conclusion: The study indicates that dietary components significantly influence tooth color stability and the shear bond strength of orthodontic brackets, underscoring the importance of considering these factors in orthodontic treatment planning. 展开更多
关键词 Shear Bond Orthodontic brackets Color Stability Thermal Aging
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Research and Analysis on Anti-corrosion of Mountain Photovoltaic Brackets
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作者 Aijun LIN Junwen TANG 《Asian Agricultural Research》 2024年第9期19-22,共4页
With the increasing global demand for renewable energy,solar photovoltaic power generation technology has been widely applied in China and even globally.Especially in mountainous areas,complex terrain resources are cl... With the increasing global demand for renewable energy,solar photovoltaic power generation technology has been widely applied in China and even globally.Especially in mountainous areas,complex terrain resources are cleverly utilized in the construction of photovoltaic power stations,but this also brings severe challenges to the anti-corrosion of photovoltaic brackets.This paper focuses on the anti-corrosion technology of mountain photovoltaic brackets,and deeply explores the influence of natural factors such as mountain climate,sandstorms,and precipitation on the corrosion of photovoltaic brackets.The research results show that the key to improving anti-corrosion performance lies in the selection of bracket materials and optimization of coating processes.After comparing various anti-corrosion treatment methods such as hot-dip galvanizing,spray aluminum coating,and new anti-corrosion materials,it is found that nano coating technology exhibits excellent protective effects in corrosive environments.This study is of great significance for promoting the sustainable development of photovoltaic power generation,providing solid theoretical support and practical guidance for the anti-corrosion design of mountain photovoltaic power stations. 展开更多
关键词 Mountain photovoltaic BRACKET CORROSION Nano coating
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Clinical assessment of demineralization and remineralization surrounding orthodontic brackets with FluoreCam
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作者 Bora Korkut Duygu Korkut +1 位作者 Funda Yanikoglu Dilek Tagtekin 《Asian Pacific Journal of Tropical Biomedicine》 SCIE CAS 2017年第4期373-377,共5页
Objective: To determine quantitatively the amount of demineralization and the ability of commercially available products and an experimental cream to inhibit or reverse orthodontic related demineralization.Methods: A ... Objective: To determine quantitatively the amount of demineralization and the ability of commercially available products and an experimental cream to inhibit or reverse orthodontic related demineralization.Methods: A total of 20 patients who were 25–35 years old and having orthodontic treatment for 6–8 months were chosen.Caries risk assessments were done for each patient and ones with "moderate risk" were included.Patients with fixed orthodontic appliances were divided into 4 groups(5 patients each) including one control and 3 study groups.All patients used same toothpaste 2 times a day during the 3 weeks study period.Additional to the toothpaste first study group used MI Paste Plus(GC, Tokyo, Japan), second study group used Remin Pro(Voco, Cuxhaven, Germany) and third group used an experimental remineralizing cream per day for 3 weeks.Maxillary central and lateral incisors of each patient were examined by FluoreCam(Daraza Therametric Technologies, USA) device.The examinations were performed at baseline and at the end of 1st, 2nd and 3rd weeks.Results: According to the FluoreCam measurements the control group showed significant amount of demineralization at the end of 3 weeks, moreover the amount of demineralization has gradually increased in time.At the end of the study all 3 study groups showed significant amount of remineralization and the amount of remineralization for all the 3 study groups has gradually increased in time.However the amount of remineralization for 3rd study group was lesser than the 1st and 2nd study groups.The remineralization amounts for the 1st and 2 nd study groups were determined to be identical.Conclusions: This study demonstrated that demineralization is measurable around orthodontic brackets and the demineralization can be completely inhibited and/or reversed by the use of commercially available remineralization products. 展开更多
关键词 DEMINERALIZATION REMINERALIZATION FluoreCam Orthodontic brackets MI Paste Plus Remin Pro
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The Evaluation of a Resin-modified Glass Ionome Cement for Bonding Orthodontic Brackets
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作者 李福军 《Journal of Wuhan University of Technology(Materials Science)》 SCIE EI CAS 2009年第6期986-991,共6页
To evaluate the shear bond strength(SBS) and bond failure interface after the debonding of orthodontic brackets with a resin-modified glass ionomer cement(RMGIC) under six bonding conditions, 140 premolar teeth we... To evaluate the shear bond strength(SBS) and bond failure interface after the debonding of orthodontic brackets with a resin-modified glass ionomer cement(RMGIC) under six bonding conditions, 140 premolar teeth were randomly divided into seven groups. The brackets of all groups, except for control group, were bonded using a RMGIC. The teeth were debonded using a universal testing machine. The shear bond strength, adhesive remnant index (ARI) and enamel fracture were examined for each debonding. A significant difference existed in SBS under wet and dry conditions in two groups of Fuji Ortho LC. Different degree of enamel fracture was seen in groups of Fuji Ortho LC(dry/37% phosphoric acid treated) after debonding. Bond failed predominantly at the enamel-adhesive interface, except for phosphoric acid treated groups. The RMGIC achieve a clinically effective adhesion in orthodontics under different bonding conditions. 展开更多
关键词 EVALUATION resin-modified glass ionomer BONDING brackets
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A Study on the Multi-Objective Optimization Method of Brackets in Ship Structures
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作者 LIU Fan HU Yu-meng +2 位作者 FENG Guo-qing ZHAO Wei-dong ZHANG Ming 《China Ocean Engineering》 SCIE EI CSCD 2022年第2期208-222,共15页
The shape and size optimization of brackets in hull structures was conducted to achieve the simultaneous reduction of mass and high stress,where the parametric finite element model was built based on Patran Command La... The shape and size optimization of brackets in hull structures was conducted to achieve the simultaneous reduction of mass and high stress,where the parametric finite element model was built based on Patran Command Language codes.The optimization procedure was executed on Isight platform,on which the linear dimensionless method was introduced to establish the weighted multi-objective function.The extreme processing method was applied and proved effective to normalize the objectives.The bracket was optimized under the typical single loads and design waves,accompanied by the different proportions of weights in the objective function,in which the safety factor function was further established,including yielding,buckling,and fatigue strength,and the weight minimization and safety maximization of the bracket were obtained.The findings of this study illustrate that the dimensionless objectives share equal contributions to the multi-objective function,which enhances the role of weights in the optimization. 展开更多
关键词 brackets parametric finite element model multi-objective optimization extreme processing method safety factor function weighted multi-objective function
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Bond Strength of Brackets Bonded with Chemically and Light Activated Materials after Thermal Cycling
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作者 Rafael Menezes-Silva Leonardo Amaral dos Reis +2 位作者 Bhenya Otonni Tostes Dhelfeson Willyan Douglas de Oliveira Maria Helena Santos 《Advances in Materials Physics and Chemistry》 2015年第9期351-360,共10页
The aim of this study was to evaluate the bond strength of orthodontic brackets bonded to tooth enamel with different polymer composites after simulated clinical aging, and analyze the enamel/ bond system fracture int... The aim of this study was to evaluate the bond strength of orthodontic brackets bonded to tooth enamel with different polymer composites after simulated clinical aging, and analyze the enamel/ bond system fracture interface. 80 human premolars, were randomly divided into five groups (n = 16). G1: CO (Concise Ortodontica—3M ESPE), G2: SB (SuperBond—Ortho Source), G3: FMO (Fill Magic Ortodontico—Vigodent), G4: TXT (Transbond XT—3M ESPE) and G5: TP (Transbond Plus Self Etching Primer + Transbond Plus Color Change—3M ESPE). In all groups, the metal orthodontic bracket was bonded to the tooth enamel surface. The specimens were submitted to 3000 thermal cycling baths for 30 s, at temperatures of 5°C, 37°C and 55°C (±1°C). Afterwards they were subjected to shear testing and the results were analyzed by the Student’s-t test (p < 0.05). G1 presented the highest bond strength value, followed by G4 > G5 > G2 > G3. In all groups the majority of the fractures at the interface of the specimens were cohesive, except in G3, which presented the largest number of adhesive fractures. After clinical aging, the chemically activated material (CO) showed higher bond strength than the light activated types (FMO, TXT and TP). The self-etching adhesive system (TP) showed similar bond strength to that of conventional systems (FMO and TXT). 展开更多
关键词 DENTAL BONDING ORTHODONTIC brackets ORTHODONTICS
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Bonding Orthodontic Ceramic Brackets to Ceramic Restorations:Evaluation of Different Surface Conditioning Methods
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作者 Andreas Faltermeier Claudia Reicheneder +1 位作者 Peter Gotzfried Peter Proff 《Materials Sciences and Applications》 2013年第7期10-14,共5页
The purpose of this study was to compare the shear bond strength and Adhesive Remnant Index of four different veneering ceramic materials to ceramic brackets. Additionallly, a further aim of this study was to overcome... The purpose of this study was to compare the shear bond strength and Adhesive Remnant Index of four different veneering ceramic materials to ceramic brackets. Additionallly, a further aim of this study was to overcome the etching using hydrofluoric acid which is noxious and could seriously damage the corneas of the eyes. Two surface conditioning methods of four ceramic materials before bonding brackets were examined: in group 1 an air particle abrasion with 25 μm aluminium trioxide (4 seconds at a pressure of 2.5 bars) and subsequently a silane coupling agent (Espe Sil, 3M Unitek, Monrovia, USA) was applicated on one side of each ceramic specimen (10 per group). In group 2 one side of each sample (20 per group) was etched with 37.0 per cent orthophosphoric acid for two minutes and was followed by a silane application (Espe Sil, 3M Unitek, Monrovia, USA). After this procedure the self-ligating ceramic brackets Clarity SL (3M Unitek, Monrovia, USA) brackets were bonded to the ceramic blocks and a thermocycling process started (5°C - 55°C, 6000 cycles). Then, shear bond strength and Adhesive Remnant Index (ARI) were measured. To determine statistical differences Oneway-ANOVA and Tukey Post-hoc test were performed. Hydrofluoric acid seems not to be justifiable anymore for preparing the surface of dental ceramic restorations before bracket bonding. Sandblasting with 25 μm aluminium trioxide and the use of orthophosphoric acid (37.0 per cent) seem to prepare the surface of ceramic restoration sufficiently before ceramic bracket bonding. The found level of shear bond strength values seems to be sufficient for bonding ceramic brackets to ceramic restorations. 展开更多
关键词 Ceramic Restorations Ceramic brackets Aluminium Trioxide Orthophosphoric Acid
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Research on semi-solid thixoforming process of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes 被引量:9
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作者 WANG Kai LIU Changming +2 位作者 HAN Zhaotang CAO Jianyong ZHANG Zonghe 《Rare Metals》 SCIE EI CAS CSCD 2005年第4期381-391,共11页
The investment on semi-solid die casting processes of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes is introduced. The processes of low super-heat and cooling slope for the preparation of bille... The investment on semi-solid die casting processes of AZ91D magnesium alloy brackets for generators in JH70-type motorbikes is introduced. The processes of low super-heat and cooling slope for the preparation of billets with non-dendritic microstructure, the remelting of billets for thixoforming and the parameters in the process of semi-sohd thixoforming have been researched. The results show that primary billets with non-dendritical structures can be prepared by forming great amount of nuclei in melt via the process of low super heat. By optimizing the remelting process through adjusting the current of the induced equipment, semi-solid billets with a structure of spherical grains were obtained from the primary billets with non-dendritical structure. The range of 580℃ to 583℃ is the proper remelting temperatures by which the billets have an expected thixotropy and can be transferred to a die-casting machine. The optimized parameters of semi-solid forming in a die-casting machine are as follows: the area of the ingate in the die is 383.5 mm^2, the speed of the pierce of the machine 5 m/s, the shot pressure of the pierce 75 MPa, and the maintenance pressure of the pierce 350 MPa. The castings of brackets for supporting generators in JH70 type motorbikes were formed by adopting the optimized processes and parameters mentioned above. 展开更多
关键词 SEMI-SOLID THIXOFORMING AZ91D magnesium alloy BRACKET motorbike
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A mask R-CNN based method for inspecting cable brackets in aircraft 被引量:5
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作者 Gang ZHAO Jingyu HU +1 位作者 Wenlei XIAO Jie ZOU 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2021年第12期214-226,共13页
In the aviation industry,cable bracket is one of the most common parts.The traditional assembly state inspection method of cable bracket is to manually compare by viewing 3 D models.The purpose of this paper is to add... In the aviation industry,cable bracket is one of the most common parts.The traditional assembly state inspection method of cable bracket is to manually compare by viewing 3 D models.The purpose of this paper is to address the problem of inefficiency of traditional inspection method.In order to solve the problem that machine learning algorithm requires large dataset and manually labeling of dataset is a laborious and time-consuming task,a simulation platform is developed to automatically generate synthetic realistic brackets images with pixel-level annotations based on 3 D digital mock-up.In order to obtain accurate shapes of brackets from 2 D image,a brackets recognizer based on Mask R-CNN is trained.In addition,a semi-automatic cable bracket inspection method is proposed.With this method,the inspector can easily obtain the inspection result only by taking a picture with a portable device,such as augmented reality(AR)glasses.The inspection task will be automatically executed via bracket recognition and matching.The experimental result shows that the proposed method for automatically labeling dataset is valid and the proposed cable bracket inspection method can effectively inspect cable bracket in the aircraft.Finally,a prototype system based on client-server framework has been developed for validation purpose. 展开更多
关键词 Aircraft assembly Augmented reality Cable bracket Mask R-CNN Synthetic dataset Template matching Visual inspection
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Equal-Time and Equal-Space Poisson Brackets of the N-Component Coupled NLS Equation
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作者 周汝光 李佩瑶 高媛 《Communications in Theoretical Physics》 SCIE CAS CSCD 2017年第4期347-349,共3页
Two Poisson brackets for the N-component coupled nonlinear Schrdinger(NLS) equation are derived by using the variantional principle. The first one is called the equal-time Poisson bracket which does not depend on time... Two Poisson brackets for the N-component coupled nonlinear Schrdinger(NLS) equation are derived by using the variantional principle. The first one is called the equal-time Poisson bracket which does not depend on time but only on the space variable. Actually it is just the usual one describing the time evolution of system in the traditional theory of integrable Hamiltonian systems. The second one is equal-space and new. It is shown that the spatial part of Lax pair with respect to the equal-time Poisson bracket and temporal part of Lax pair with respect to the equal-space Poisson bracket share the same r-matrix formulation. These properties are similar to that of the NLS equation. 展开更多
关键词 integrable system the N-component coupled nonlinear Schrdinger equation equal-time Poisson bracket equal-space Poisson bracket r-matrix
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Performance of Different Orthodontic Brackets after Exposure to Dietary Components: An <i>in Vitro</i>Pilot Study
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作者 Anthony Fusco Syed Ahmed +2 位作者 Jared Link Tanya Al-Talib Neamat Hassan Abubakr 《Open Journal of Stomatology》 2021年第9期341-348,共8页
<strong>Introduction:</strong> The aim of this study was to determine whether there was a significant difference in shear bond strength between metal and ceramic brackets when exposed to acidic dietary com... <strong>Introduction:</strong> The aim of this study was to determine whether there was a significant difference in shear bond strength between metal and ceramic brackets when exposed to acidic dietary components (beverages) and to observe the chromogenic potential of each <em>in vitro</em>. <strong>Methods:</strong> Metal and clear orthodontic brackets were placed on extracted maxillary second premolars and exposed to select beverages three times daily for four weeks. Shade was taken using a colorimeter device at seven intervals and the shear bond strength of each bracket was recorded. <strong>Results:</strong> There was a variable change in tooth shade with respect to the various beverages in which they were submerged. Coffee and Dr. Pepper had the most pronounced change, whereas Red Bull and water produced little to none, respectively. Compared to controls, brackets submerged in coffee had the greatest reduction in shear bond strength, followed by Dr. Pepper, then Red Bull. Overall, clear brackets showed higher shear bond strength than metal brackets. <strong>Conclusion: </strong>Acidic dietary components have a negative effect on the shear bond strength of orthodontic brackets, and more pigmented beverages have a higher chromogenic staining potential. 展开更多
关键词 BRACKET Shear Bond Strength ORTHODONTICS Tooth Shade
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Maps Preserving Zero Lie Brackets on a Maximal Nilpotent Subalgebra of the Symplectic Algebra 被引量:1
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作者 Yan Xia ZHAO Deng Yin WANG Dong Fang JIA 《Journal of Mathematical Research and Exposition》 CSCD 2011年第5期829-839,共11页
Let F be a field with char F = 2, l a maximal nilpotent subalgebra of the symplectic algebra sp(2m,F). In this paper, we characterize linear maps of l which preserve zero Lie brackets in both directions. It is shown... Let F be a field with char F = 2, l a maximal nilpotent subalgebra of the symplectic algebra sp(2m,F). In this paper, we characterize linear maps of l which preserve zero Lie brackets in both directions. It is shown that for m ≥ 4, a map φ of l preserves zero Lie brackets in both directions if and only if φ = ψcσT0λαφdηf, where ψc,σT0,λα,φd,ηf are the standard maps preserving zero Lie brackets in both directions. 展开更多
关键词 maximal nilpotent subalgebra zero Lie brackets symplectic algebra.
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Structural, Visual, or Iconic: Transmutations of Wooden Brackets in Modern China
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作者 Wei-Cheng Lin 《Frontiers of History in China》 2015年第2期323-365,共43页
Together with pillars and roof, the bracket set is one of the most fundamental structural components of traditional timber-frame architecture in China. Not only structurally indispensable, it was also emblematic of sp... Together with pillars and roof, the bracket set is one of the most fundamental structural components of traditional timber-frame architecture in China. Not only structurally indispensable, it was also emblematic of specific building styles developed through history. Entering the modem era, however, its architectural validity was overturned by the use of modem technology and building materials, rendering brackets merely a visual and decorative motif. This paper contends that it was precisely when the bracket set lost its structural significance that it began to be discussed in ways that endowed it with layers of cultural meaning in the context of modem China. Examining its modem appropriations in materials other than wood throughout the twentieth century, the paper explores shifting meanings of brackets in their continuous transmutations from a reminder of a defunct component in the building tradition to a nostalgic sign for an irretrievable architectural past. 展开更多
关键词 brackets Liang Sicheng adaptive style timber-frame architecture enchantment
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Climate change impacts on the architectural adaptation in ancient China during the 3rd–6th centuries
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作者 LI Siyang HE Lejun GE Quansheng 《Journal of Geographical Sciences》 2025年第6期1311-1328,共18页
While climate change impacts on ancient societies are well-documented,their adaptation mechanisms remain poorly understood.This study examines ancient Chinese architecture,specifically focusing on the abrupt decline i... While climate change impacts on ancient societies are well-documented,their adaptation mechanisms remain poorly understood.This study examines ancient Chinese architecture,specifically focusing on the abrupt decline in the use of projecting arms in bracket sets during the cold period from the 3rd to 6th centuries—a phenomenon known as the“Six Dynasties Bracket Mystery”—to explore how architectural forms responded to climatic shifts.Based on an analysis of approximately 250 cases of quasi-architectural evidence,we identify a five-stage variation in the presence ratio of projecting arms over approximately 700 years,beginning in the early 1st century.By integrating this quantitative variation with high-resolution paleoclimate reconstructions and experimental analysis,this study demonstrates that climate change,particularly the abrupt cooling events during the 3rd–6th centuries,altered the functional requirements of building eaves,leading to the decline of projecting arms.Our study provides a reasonable explanation for the longstanding puzzle concerning bracket sets in ancient Chinese architectural research,emphasizing environmental adaptation rather than aesthetic or technological considerations.It also highlights architectural adaptation as a material expression of human responses to climate change,offering insights into the interplay between climate,socio-historical context,and architecture in ancient China. 展开更多
关键词 climate change adaptation ancient Chinese architecture dougong(bracket sets) environmental influences on architecture architectural evolution
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Complex brackets and balanced complex 1st-order difference polynomials in 4-dimensional Minkowski space 被引量:1
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作者 HUANG Lei LI HongBo 《Science China Mathematics》 SCIE 2008年第12期2137-2148,共12页
This paper investigates complex brackets and balanced complex 1st-order difference (BCD) polynomials. Then we propose an algorithm of O(n log n) complexity to check the equality of brackets. It substitutes exponential... This paper investigates complex brackets and balanced complex 1st-order difference (BCD) polynomials. Then we propose an algorithm of O(n log n) complexity to check the equality of brackets. It substitutes exponential algorithms before. Also, BCD polynomials have some usages in geometric calculation. 展开更多
关键词 conformal geometric algebra (CGA) null bracket algebra (NBA) geometric invariant mechanical proving normal forms 68T15 03B35
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Microscopic ensemble bootstrap in phase space
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作者 Yu Zhang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2024年第6期72-76,共5页
The bootstrap method which has been studied under many quantum mechanical models turns out to be feasible in microcanonical ensembles as well.While the approach of Nakayama(2022 Mod.Phys.Lett.A 372250054)produces a se... The bootstrap method which has been studied under many quantum mechanical models turns out to be feasible in microcanonical ensembles as well.While the approach of Nakayama(2022 Mod.Phys.Lett.A 372250054)produces a sector when energy is negative,in this paper we report a method that has stronger constraints and results in a smaller region.We also study other models to demonstrate the effectiveness of our method. 展开更多
关键词 numerical bootstrap microcanonical ensemble Poisson bracket BOOTSTRAP OSCILLATOR
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Application Strategies of the Bracket Set in Modern Architectural Design
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作者 Yajuan Liu 《Journal of Architectural Research and Development》 2024年第2期68-74,共7页
The Bracket Set(dougong)is an important aspect of traditional Chinese architecture known for its exquisite structure,complexity,and rich variations.This design element has been used since the Qin and Han Dynasties and... The Bracket Set(dougong)is an important aspect of traditional Chinese architecture known for its exquisite structure,complexity,and rich variations.This design element has been used since the Qin and Han Dynasties and is still prevalent today.It highlights hierarchy and spiritual connotations in the design of a building.This article explores the application of Bracket Set elements in modern architectural design.It analyzes the specific application strategies of this design element,highlighting its value in modern architecture.The goal is to provide modern architectural designers with multiple perspectives and strategies to fully utilize the advantages of Bracket Set elements in architectural design and enhance the artistic value of their work. 展开更多
关键词 Bracket Set elements Architectural design Stressed components Decorative components
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Curvature-induced noncommutativity of two different components of momentum for a particle on a hypersurface 被引量:1
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作者 Z Li X Yang Q H Liu 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第2期73-77,共5页
As a nonrelativistic particle constrained to remain on an(N−1)-dimensional((N≥2))hypersurface embedded in an N-dimensional Euclidean space,two different components pi and pj(i,j=1,2,3,...N)of the Cartesian momentum o... As a nonrelativistic particle constrained to remain on an(N−1)-dimensional((N≥2))hypersurface embedded in an N-dimensional Euclidean space,two different components pi and pj(i,j=1,2,3,...N)of the Cartesian momentum of the particle are not mutually commutative,and explicitly commutation relations[p^(^)_(i),p^(^)_(j)](≠0) depend on products of positions and momenta in uncontrollable ways.The generalized Dupin indicatrix of the hypersurface,a local analysis technique,is utilized to explore the dependence of the noncommutativity on the curvatures around a local point of the hypersurface.The first finding is that the noncommutativity can be grouped into two categories;one is the product of a sectional curvature and the angular momentum,and another is the product of a principal curvature and the momentum.The second finding is that,for a small circle lying a tangential plane covering the local point,the noncommutativity leads to a rotation operator and the amount of the rotation is an angle anholonomy;and along each of the normal sectional curves centering the given point the noncommutativity leads to a translation plus an additional rotation and the amount of the rotation is one half of the tangential angle change of the arc. 展开更多
关键词 constrained motion QUANTIZATION HYPERSURFACE Dirac brackets geometric momentum
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