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Computing the ground state solution of Bose-Einstein condensates by an energy-minimizing normalized residual network
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作者 Ren-Tao Wu Ji-Dong Gao +3 位作者 Yu-Han Wang Zhen-Wei Deng Ming-Jun Li Rong-Pei Zhang 《Chinese Physics B》 2025年第10期321-329,共9页
This paper introduces a novel numerical method based on an energy-minimizing normalized residual network(EMNorm Res Net)to compute the ground-state solution of Bose-Einstein condensates at zero or low temperatures.Sta... This paper introduces a novel numerical method based on an energy-minimizing normalized residual network(EMNorm Res Net)to compute the ground-state solution of Bose-Einstein condensates at zero or low temperatures.Starting from the three-dimensional Gross-Pitaevskii equation(GPE),we reduce it to the 1D and 2D GPEs because of the radial symmetry and cylindrical symmetry.The ground-state solution is formulated by minimizing the energy functional under constraints,which is directly solved using the EM-Norm Res Net approach.The paper provides detailed solutions for the ground states in 1D,2D(with radial symmetry),and 3D(with cylindrical symmetry).We use the Thomas-Fermi approximation as the target function to pre-train the neural network.Then,the formal network is trained using the energy minimization method.In contrast to traditional numerical methods,our neural network approach introduces two key innovations:(i)a novel normalization technique designed for high-dimensional systems within an energy-based loss function;(ii)improved training efficiency and model robustness by incorporating gradient stabilization techniques into residual networks.Extensive numerical experiments validate the method's accuracy across different spatial dimensions. 展开更多
关键词 Bose-Einstein condensate Gross-Pitaevskii equation energy minimization normalized residual network
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From Biohybrid Actuators To Smart Manufacturing:Advancing Microrobots for Minimally Invasive Medicine
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作者 Wenqi Zhang Gongxin Li +1 位作者 Xiaoli Luan Fei Liu 《Journal of Bionic Engineering》 2026年第1期99-125,共27页
Microrobotic systems are emerging as transformative technology for minimally invasive medicine,driven by innovations in actuation mechanisms,advanced fabrication paradigms,and multifunctional system integration.This c... Microrobotic systems are emerging as transformative technology for minimally invasive medicine,driven by innovations in actuation mechanisms,advanced fabrication paradigms,and multifunctional system integration.This comprehensive review analyzes the evolution of microrobotic technologies through three critical dimensions:(1)actuation modalities,including magnetic,optical,acoustic,chemical,and biological actuation,with a focus on the synergistic advantages of hybrid actuation strategies in complex internal physiological environments;(2)Fabrication methods cover technolo-gies such as photolithography,microinjection molding,self-assembly,and 3D printing,emphasizing innovative strategies involving multi-technology integration and collaborative manufacturing of bio/non-bio hybrid materials;(3)Internal phys-iological applications involve disease diagnosis,targeted drug delivery,minimally invasive surgery,tissue engineering,and cell manipulation,highlighting the broad prospects of microrobots in precision medicine.Despite remarkable progress,critical challenges remain,including low actuation efficiency,as seen in acoustic systems,limited biocompatibility,exem-plified by the toxicity of hydrogen peroxide in chemical actuation,delayed clinical translation,and other related challenges that must be addressed to advance the field. 展开更多
关键词 MICROROBOTS Actuation modalities Fabrication techniques Medical robots Targeted drug delivery minimally invasive surgery
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Could Increasing Minimally Processed Food Consumption Lower Body Fat Mass?
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作者 Zhenyu Yang 《Biomedical and Environmental Sciences》 2026年第1期1-2,共2页
Overweight and obesity has been a major public health problem globally.It was estimated that more than 2.1 billion adults were affected by overweight or obese in 2021 worldwide,about one fifth of whom lived in China^(... Overweight and obesity has been a major public health problem globally.It was estimated that more than 2.1 billion adults were affected by overweight or obese in 2021 worldwide,about one fifth of whom lived in China^([1]).By 2050,the country is forecast to remain the one with the largest population of overweight and obese globally^([1]),if no effective strategies were applied on overweight/obesity control. 展开更多
关键词 OBESITY public health minimally processed food body fat mass OVERWEIGHT global health China overweight obesity
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Safety and oncologic outcomes of open versus minimally invasive distal pancreatectomy for resectable pancreatic body and tail cancer
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作者 Hajime Imamura Tomohiko Adachi +5 位作者 Ayaka Kinoshita Takashi Hamada Hajime Matsushima Takanobu Hara Akihiko Soyama Susumu Eguchi 《Hepatobiliary & Pancreatic Diseases International》 2026年第1期83-90,共8页
Background:Minimally invasive distal pancreatectomy(MIDP)is increasingly being used,although its oncologic safety for pancreatic ductal adenocarcinoma(PDAC)remains controversial.In Japan,MIDP for PDAC has limited endo... Background:Minimally invasive distal pancreatectomy(MIDP)is increasingly being used,although its oncologic safety for pancreatic ductal adenocarcinoma(PDAC)remains controversial.In Japan,MIDP for PDAC has limited endorsement due to insufficient data.This study aimed to compare the perioperative and long-term outcomes of open distal pancreatectomy(ODP)and MIDP for PDAC.Methods:We retrospectively analyzed patients with resectable pancreatic body and tail cancer treated with ODP or MIDP(laparoscopic or robotic)between January 2007 and July 2022.The surgical procedures(ODP and MIDP)were compared and the patient characteristics,perioperative outcomes,and long-term outcomes were analyzed.We also compared the outcomes of patients with neoadjuvant chemotherapy(NAC)and without NAC.Results:A total of 72 distal pancreatectomies were performed(37 ODPs and 35 MIDPs).In the upfront group,MIDP resulted in significantly less blood loss than ODP(P<0.01),despite similar operative time.There was no statistically significant difference in the 2-year recurrence-free survival(RFS)rates between ODP and MIDP(39.7%vs.57.8%,P=0.60)or in the overall survival(OS)rates(66.7%vs.74.1%,P=0.43).Similarly,in the NAC group,MIDP resulted in significantly less blood loss than ODP(P=0.01);ODP and MIDP had similar 2-year RFS rates(41.7%and 60.0%,P=0.75)and OS rates(50.0%and 70.0%,P=0.36).The interval from surgery to adjuvant chemotherapy initiation did not significantly differ between the ODP and MIDP subgroups in both the upfront group(P=0.13)and the NAC group(P=0.14).The incidence of recurrence was 64.8%for ODP and 42.8%for MIDP(P=0.06).Both procedures showed similar distributions of local and distant recurrence.Conclusions:MIDP caused less blood loss and had similar oncologic safety compared with ODP.MIDP could become a feasible,minimally invasive option with sufficient oncologic safety for pancreatic body and tail cancers. 展开更多
关键词 Pancreatic body cancer Pancreatic tail cancer minimally invasive pancreatectomy Laparoscopic distal pancreatectomy Robotic distal pancreatectomy Oncologic safety
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Minimally invasive four-point scleral refixation for dislocated 4-haptic IOL by horizontal mattress sutures and Hoffman pockets
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作者 Zhao-Liang Zhang Jia-Hui Shen +3 位作者 Jun-Yi Chen Qin-Tuo Pan Xu-Ting Hu Zong-Duan Zhang 《International Journal of Ophthalmology(English edition)》 2026年第3期483-489,共7页
AIM:To evaluate the clinical outcomes of a new minimally invasive technique using horizontal mattress sutures and Hoffman pockets for four-point refixation of dislocated fourhaptic intraocular lenses(IOLs).METHODS:Thi... AIM:To evaluate the clinical outcomes of a new minimally invasive technique using horizontal mattress sutures and Hoffman pockets for four-point refixation of dislocated fourhaptic intraocular lenses(IOLs).METHODS:This retrospective consecutive case series included eyes with dislocated Akreos AO60 IOLs underwent scleral refixation using a horizontal mattress doubleneedle suture technique with intralamellar knot burial via Hoffman pockets.Clinical outcomes assessed included pre-and postoperative best-corrected visual acuity(BCVA),intraocular pressure(IOP),spherical equivalent(SE),suture duration,IOL centration,and perioperative complications.RESULTS:A total of 10 eyes from 10 patients(6 males)were included.The mean age at the time of IOL refixation was 53.10±13.07y(range:28-68y).The mean interval between initial IOL implantation and dislocation was 8.44±3.54y.The mean postoperative follow-up duration was 11.45±10.30mo.Surgical time averaged 15.3±1.77min,with no intraoperative complications.The mean axial length was 27.16±4.35 mm,with high myopia(HM)as the leading comorbidity(4/10 eyes).Postoperative BCVA significantly improved compared to preoperative values(P=0.025).Postoperative SE was significantly improved compared with preoperative(P=0.01).All IOLs remained centered throughout follow-up.CONCLUSION:This minimally invasive four-point scleral fixation technique offers a safe and effective refixation strategy for dislocated four-haptic IOLs.The horizontal mattress suture configuration combined with Hoffman pockets facilitates durable centration,avoids conjunctival dissection,and could be adopted into routine surgical practice. 展开更多
关键词 intraocular lens dislocation four-haptic intraocular lens intraocular lens refixation scleral fixation horizontal mattress suture Hoffman pocket minimally invasive ophthalmic surgery
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Utility of liver surface-guided encirclement of hepatoduodenal ligament for the Pringle maneuver in minimally invasive repeat liver resection
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作者 Yoichi Kawano Takahiro Murokawa +18 位作者 Yuto Aoki Akira Hamaguchi Takashi Ono Takahiro Haruna DaigoYoshimori Toshiyuki Irie Junji Ueda Tetsuya Shimizu Akira Matsushita Mampei Kawashima Ryo Ga Hiroyasu Furuki Tomohiro Kanda Yukio Oshiro Keisuke Minamimura Masato Yoshioka Nobuhiko Taniai Yoshiharu Nakamura Hiroshi Yoshida 《World Journal of Gastroenterology》 2026年第1期126-138,共13页
BACKGROUND Repeated application of the Pringle maneuver is a key obstacle to safe minimally invasive repeat liver resection(MISRLR).However,limited technical guidance is available.AIM To study the utility of newly dev... BACKGROUND Repeated application of the Pringle maneuver is a key obstacle to safe minimally invasive repeat liver resection(MISRLR).However,limited technical guidance is available.AIM To study the utility of newly developed Pringle taping method guided by liver surface in MISRLR.METHODS We retrospectively reviewed 72 cases of MISRLR performed by a single surgeon at two centers from August 2015 to July 2024.Beginning in October 2019,a liver surface-guided encirclement of hepatoduodenal ligament(LSEH)was used for repeat Pringle taping.Perioperative outcomes including Pringle taping success,operative time,blood loss,conversion rate,morbidity,and mortality were assessed.RESULTS Laparoscopic and robotic approaches were used in 63 patients and 9 patients,respectively.The median operative time,blood loss,and hospital stay were 331.5 minutes,70 mL,and 8 days,respectively.Open conversion occurred in two cases(2.8%)due to severe adhesions and right renal vein injury.Clavien-Dindo grade≥III complications occurred in 5.6%of cases with no mortality.Anti-adhesion barriers were used in 54 patients(75.0%).LSEH was attempted in 57 cases,improving Pringle taping success from 33.0%to 91.4%(P<0.001).LSEH succeeded in all patients with prior open liver resection(n=11).Among 6 patients in whom LSEH failed,3 patients(50.0%)had undergone a third liver resection,and 1 patient had a history of distal gastrectomy with choledochoduodenostomy.CONCLUSION The newly developed LSEH technique for Pringle taping in MISRLR was feasible,enhancing safety and reproducibility even in patients with a history of open liver resection. 展开更多
关键词 Laparoscopic liver resection Repeat liver resection Pringle maneuver Postoperative adhesion minimally invasive liver resection Hepatocellular carcinoma Cancer of colon and rectum Liver metastasis Guidelines Second and third hepatectomies
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Using the Method of Maximizing Deviation to Make Decision for M ultiindices 被引量:12
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作者 Wang Yingming Department of Automation, Xiamen University, 361005, P. R. China 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 1997年第3期21-26,共6页
This paper takes the synthesizing evaluation about industrial economic benefits by examples and proposes a new method named maximizing deviation method for multiindices decision. The new method can automatically deter... This paper takes the synthesizing evaluation about industrial economic benefits by examples and proposes a new method named maximizing deviation method for multiindices decision. The new method can automatically determine the weight coefficients among the multiindices and also can obtain the exact and reliable evaluation results without subjectivity. 展开更多
关键词 Multiindices decision Multiindices ranking Economic benefits evaluation maximizing deviation method.
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Minimizing the Variance of a Weighted Average 被引量:2
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作者 Doron J. Shahar 《Open Journal of Statistics》 2017年第2期216-224,共9页
It is common practice in science to take a weighted average of estimators of a single parameter. If the original estimators are unbiased, any weighted average will be an unbiased estimator as well. The best estimator ... It is common practice in science to take a weighted average of estimators of a single parameter. If the original estimators are unbiased, any weighted average will be an unbiased estimator as well. The best estimator among the weighted averages can be obtained by choosing weights that minimize the variance of the weighted average. If the variances of the individual estimators are given, the ideal weights have long been known to be the inverse of the variance. Nonetheless, I have not found a formal proof of this result in the literature. In this article, I provide three different proofs of the ideal weights. 展开更多
关键词 Variance WEIGHTED AVERAGE minimIZATION
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A multiaxial elastic potential with error-minimizing approximation to rubberlike elasticity 被引量:1
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作者 Zhi-Xiang Gu Lu Yuan +1 位作者 Zheng-Nan Yin Heng Xiao 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2015年第5期637-646,共10页
This study is concerned with a new,explicit approach by means of which forms of the large strain elastic potential for multiaxial rubberlike elasticity may be obtained based on data for a single deformation mode.As a ... This study is concerned with a new,explicit approach by means of which forms of the large strain elastic potential for multiaxial rubberlike elasticity may be obtained based on data for a single deformation mode.As a departure from usual studies,here for the first time errors may be estimated and rendered minimal for all possible deformation modes and,furthermore,failure behavior may be incorporated.Numerical examples presented are in accurate agreement with Treloar's well-known data. 展开更多
关键词 Rubberlike elasticity Large deformations Elastic potential Explicit approach minimized errors
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''Minimizing tacrolimus' ' strategy and long-term survival after liver transplantation 被引量:4
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作者 Jun-Jun Jia Bin-Yi Lin +9 位作者 Jiang-Juan He Lei Geng Dhruba Kadel Li Wang Dong-Dong Yu Tian Shen Zhe Yang Yu-Fu Ye Lin Zhou Shu-Sen Zheng 《World Journal of Gastroenterology》 SCIE CAS 2014年第32期11363-11369,共7页
AIM: To investigate the effect of the ‘‘minimizing tacrolimus' ' strategy on long-term survival of patients after liver transplantation(LT).METHODS: We conducted a retrospective study of 319 patients who rec... AIM: To investigate the effect of the ‘‘minimizing tacrolimus' ' strategy on long-term survival of patients after liver transplantation(LT).METHODS: We conducted a retrospective study of 319 patients who received LT between January 2009 and December 2011 at the First Affiliated Hospital of Zhejiang University School of Medicine. Following elimination of ineligible patients, 235 patients were included in the study. The relationship between early tacrolimus(TAC)exposure and survival period was analyzed by Kaplan Meier curves. Adverse effects related to TAC were eval-uated by the χ2 test. Routine monitoring of blood TAC concentration(TC) was performed using the PRO-TracTM Ⅱ Tacrolimus Elisa Kit(Diasorin, United States). RESULTS: Of 235 subjects enrolled in the study, 124(52.8%) experienced adverse effects due to TAC. When evaluating mean TC, the survival time of patients with a mean TC < 5 ng/mL was significantly shorter than that in the other groups(911.3 ± 131.6 d vs 1381.1 ± 66.1 d, 911.3 ± 131.6 d vs 1327.3 ± 47.8 d, 911.3 ± 131.6 d vs 1343.2 ± 83.1 d, P < 0.05), while the survival times of patients with a mean TC of 5-7, 7-10 and 10-15 ng/mL were comparable. Adverse effects due to TAC in all four groups were not significantly different. When comparing the standard deviation(SD) of TC among the groups, the survival time of patients with a SD of 2-4 was significantly longer than that in the other groups(1388.8 ± 45.4 d vs 1029.6 ± 131.3 d, 1388.8 ± 45.4 d vs 1274.9 ± 57.0 d, P < 0.05), while in patients with a SD < 2 and SD > 4, the survival time was not statistically different. Adverse effects experienced in all three groups were not statistically different. In Cox regression analysis, male patients and those with a primary diagnosis of benign disease, mean TC > 5 ng/mL and TC SD 2-4 had better outcomes.CONCLUSION: The early ‘‘minimizing tacrolimus' ' strategy with a mean TC of 5-10 ng/mL and SD of 2-4 was beneficial in terms of long-term survival after LT. 展开更多
关键词 TACROLIMUS Liver transplantation OUTCOME minimizing tacrolimus Immunosuppressive drug
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A VMIMO-Based Cooperative Routing Algorithm for Maximizing Network Lifetime 被引量:1
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作者 Ji Zhang Dafang Zhang +2 位作者 Kun Xie Hong Qiao Shiming He 《China Communications》 SCIE CSCD 2017年第4期20-34,共15页
Energy efficiency is an important criterion for routing algorithms in the wireless sensor network. Cooperative routing can reduce energy consumption effectively stemming from its diversity gain advantage. To solve the... Energy efficiency is an important criterion for routing algorithms in the wireless sensor network. Cooperative routing can reduce energy consumption effectively stemming from its diversity gain advantage. To solve the energy consumption problem and maximize the network lifetime, this paper proposes a Virtual Multiple Input Multiple Output based Cooperative Routing algorithm(VMIMOCR). VMIMOCR chooses cooperative relay nodes based on Virtual Multiple Input Multiple Output Model, and balances energy consumption by reasonable power allocation among transmitters, and decides the forwarding path finally. The experimental results show that VMIMOCR can improve network lifetime from 37% to 348% in the medium node density, compared with existing routing algorithms. 展开更多
关键词 wireless sensor network(WSN) cooperative routing VMIMO maximizing network lifetime power allocation
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The Janus of mIS in hepatobiliary surgery:Importance of maximally invasive surgery in an era of minimally invasive surgery 被引量:1
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作者 Maria R.Baimas-George Christoph Tschuor +3 位作者 John B.Martinie David A.Iannitti Erin H.Baker Dionisios Vrochides 《Hepatobiliary & Pancreatic Diseases International》 SCIE CAS CSCD 2020年第5期409-410,共2页
As surgeons formidably continue to forge into the twentytwenties,after a considerably coronavirus-induced rocky start,one can predict that the era of minimally invasive surgery(mIS),an era of robotics,telehealth,and e... As surgeons formidably continue to forge into the twentytwenties,after a considerably coronavirus-induced rocky start,one can predict that the era of minimally invasive surgery(mIS),an era of robotics,telehealth,and enhanced recovery after surgery(ERAS■),is not only here to stay but will continue to thrive,develop,and transform our practices.Critics of robotics platforms would be hard pressed not to indulge in this prediction.Will the satisfyingly large midline“stem to stern”,the impressing exposuregenerating Makuuchi or transverse abdominal,the Kocher,paramedian,McBurney,Chevron,and Pfannenstiel incisions begin to disappear and fade away into a scar minimizing future precluding trauma laparotomies?Most likely not.Understanding and developing the skill and technique for a minimally invasive“mIS”approach does not negate or abrogate the maximally invasive“MIS”ones.It is not one or the other;not a“to be or not to be”Shakespearean scenario.Hepatobiliary surgery is a qualified landscape upon which to illuminate and exemplify this declaration:the necessity and companionship of“mIS”and“MIS”–minimally and maximally invasive surgery. 展开更多
关键词 SURGERY maximAL CONTINUE
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Maximizing Influence in Temporal Social Networks:A Node Feature-Aware Voting Algorithm 被引量:1
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作者 Wenlong Zhu Yu Miao +2 位作者 Shuangshuang Yang Zuozheng Lian Lianhe Cui 《Computers, Materials & Continua》 SCIE EI 2023年第12期3095-3117,共23页
Influence Maximization(IM)aims to select a seed set of size k in a social network so that information can be spread most widely under a specific information propagation model through this set of nodes.However,most exi... Influence Maximization(IM)aims to select a seed set of size k in a social network so that information can be spread most widely under a specific information propagation model through this set of nodes.However,most existing studies on the IM problem focus on static social network features,while neglecting the features of temporal social networks.To bridge this gap,we focus on node features reflected by their historical interaction behavior in temporal social networks,i.e.,interaction attributes and self-similarity,and incorporate them into the influence maximization algorithm and information propagation model.Firstly,we propose a node feature-aware voting algorithm,called ISVoteRank,for seed nodes selection.Specifically,before voting,the algorithm sets the initial voting ability of nodes in a personalized manner by combining their features.During the voting process,voting weights are set based on the interaction strength between nodes,allowing nodes to vote at different extents and subsequently weakening their voting ability accordingly.The process concludes by selecting the top k nodes with the highest voting scores as seeds,avoiding the inefficiency of iterative seed selection in traditional voting-based algorithms.Secondly,we extend the Independent Cascade(IC)model and propose the Dynamic Independent Cascade(DIC)model,which aims to capture the dynamic features in the information propagation process by combining node features.Finally,experiments demonstrate that the ISVoteRank algorithm has been improved in both effectiveness and efficiency compared to baseline methods,and the influence spread through the DIC model is improved compared to the IC model. 展开更多
关键词 Temporal social networks influence maximization voting strategy interactive properties SELF-SIMILARITY
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Minimizing Carbon Content with Three-in-One Functionalized Nano Conductive Ceramics:Toward More Practical and Safer S Cathodes of Li-S Cells 被引量:1
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作者 Ning Li Chang Sun +5 位作者 Jianhui Zhu Shun Li Yanlong Wang Maowen Xu Changming Li Jian Jiang 《Energy & Environmental Materials》 SCIE EI CAS CSCD 2023年第3期31-39,共9页
Using porous carbon hosts in cathodes of Li-S cells can disperse S actives and offset their poor electrical conductivity.However,such reservoirs would in turn absorb excess electrolyte solvents to S-unfilled regions,c... Using porous carbon hosts in cathodes of Li-S cells can disperse S actives and offset their poor electrical conductivity.However,such reservoirs would in turn absorb excess electrolyte solvents to S-unfilled regions,causing the electrolyte overconsumption,specific energy decline,and even safety hazards for battery devices.To build better cathodes,we propose to substitute carbons by In-doped SnO_(2)(ITO)nano ceramics that own three-in-one functionalities:1)using conductive ITO enables minimizing the total carbon content to an extremely low mass ratio(~3%)in cathodes,elevating the electrode tap density and averting the electrolyte overuse;2)polar ITO nanoclusters can serve as robust anchors toward Li polysulfide(LiPS)by electrostatic adsorption or chemical bond interactions;3)they offer catalysis centers for liquid–solid phase conversions of S-based actives.Also,such ceramics are intrinsically nonflammable,preventing S cathodes away from thermal runaway or explosion.These merits entail our configured cathodes with high tap density(1.54 g cm^(−3)),less electrolyte usage,good security for flame retardance,and decent Li-storage behaviors.With lean and LiNO_(3)-free electrolyte,packed full cells exhibit excellent redox kinetics,suppressed LiPS shuttling,and excellent cyclability.This may trigger great research enthusiasm in rational design of low-carbon and safer S cathodes. 展开更多
关键词 flame retardance Li-S cells minimized carbon ratio nano conductive ceramics three-in-one functionality
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MINIMAL AND MAXIMAL FIXED POINT THEOREMS AND ITERATIVE TECHNIQUE FOR NONLINEAR OPERATORS IN PRODUCT SPACES
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作者 兰坤泉 丁协平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第3期227-231,共5页
In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of our result, some coupled fixed point theorems are obtained, which g... In this paper, we study minimal and maximal fixed point theorems and iterative technique for nonlinear operators in product spaces. As a corollary of our result, some coupled fixed point theorems are obtained, which generalize the coupled fixed point theorems obtained by Guo Da-jun and Lankshmikantham[21 and the results obtained by Lan in [4], and [6]. 展开更多
关键词 minimal and maximal fixed point coupled fixed point
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Maximizing deviation method for multiple attribute decision making under q-rung orthopair fuzzy environment 被引量:2
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作者 Jie Wang Gui-wu Wei +1 位作者 Cun Wei Jiang Wu 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2020年第5期1073-1087,共15页
Because of the uncertainty and subjectivity of decision makers in the complex decision-making environment,the evaluation information of alternatives given by decision makers is often fuzzy and uncertain.As a generaliz... Because of the uncertainty and subjectivity of decision makers in the complex decision-making environment,the evaluation information of alternatives given by decision makers is often fuzzy and uncertain.As a generalization of intuitionistic fuzzy set(IFSs)and Pythagoras fuzzy set(PFSs),q-rung orthopair fuzzy set(q-ROFS)is more suitable for expressing fuzzy and uncertain information.But,in actual multiple attribute decision making(MADM)problems,the weights of DMs and attributes are always completely unknown or partly known,to date,the maximizing deviation method is a good tool to deal with such issues.Thus,combine the q-ROFS and conventional maximizing deviation method,we will study the maximizing deviation method under q-ROFSs and q-RIVOFSs in this paper.Firstly,we briefly introduce the basic concept of q-rung orthopair fuzzy sets(q-ROFSs)and q-rung interval-valued orthopair fuzzy sets(q-RIVOFSs).Then,combine the maximizing deviation method with q-rung orthopair fuzzy information,we establish two new decision making models.On this basis,the proposed models are applied to MADM problems with q-rung orthopair fuzzy information.Compared with existing methods,the effectiveness and superiority of the new model are analyzed.This method can effectively solve the MADM problem whose decision information is represented by q-rung orthopair fuzzy numbers(q-ROFNs)and whose attributes are incomplete. 展开更多
关键词 Multiple attribute decision making(MADM) q-rung orthopair fuzzy sets(q-ROFSs) q-rung interval-valued orthopair fuzzy sets (q-RIVOFSs) maximizing deviation method Building materials
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Minimizing sequences of variational problems with small parameters
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作者 倪明康 林武忠 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2009年第6期695-701,共7页
A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of varia... A class of variational problems with small parameters is studied. Their zeroth-order asymptotic solutions are constructed. It is shown that the zeroth-order asymptotic solution is just the minimizing sequence of variational problems as the small parameter approaches to zero. 展开更多
关键词 small parameter variational problem minimizing sequence
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Some Complexity Results for the k-Splittable Flow Minimizing Congestion Problem
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作者 Chengwen Jiao Qi Feng Weichun Bu 《Communications and Network》 2018年第1期1-10,共10页
In this paper, we mainly consider the complexity of the k-splittable flow minimizing congestion problem. We give some complexity results. For the k-splittable flow problem, the existence of a feasible solution is stro... In this paper, we mainly consider the complexity of the k-splittable flow minimizing congestion problem. We give some complexity results. For the k-splittable flow problem, the existence of a feasible solution is strongly NP-hard. When the number of the source nodes is an input, for the uniformly exactly k-splittable flow problem, obtaining an approximation algorithm with performance ratio better than (√5+1)/2 is NP-hard. When k is an input, for single commodity k-splittable flow problem, obtaining an algorithm with performance ratio better than is NP-hard. In the last of the paper, we study the relationship of minimizing congestion and minimizing number of rounds in the k-splittable flow problem. The smaller the congestion is, the smaller the number of rounds. 展开更多
关键词 k-Splittable FLOW minimize CONGESTION minimize NUMBER of Rounds COMPLEXITY
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Energy-Minimizing Curve Fitting for High-Order Surface Mesh Generation 被引量:5
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作者 Karsten Bock Jorg Stiller 《Applied Mathematics》 2014年第21期3318-3327,共10页
We investigate different techniques for fitting Bézier curves to surfaces in context of high-order curvilinear mesh generation. Starting from distance-based least-squares fitting we develop an incremental algorit... We investigate different techniques for fitting Bézier curves to surfaces in context of high-order curvilinear mesh generation. Starting from distance-based least-squares fitting we develop an incremental algorithm, which incorporates approximations of stretch and bending energy. In the process, the algorithm reduces the energy weight in favor of accuracy, leading to an optimized set of sampling points. This energy-minimizing fitting strategy is applied to analytically defined as well as triangulated surfaces. The results confirm that the proposed method straightens and shortens the curves efficiently. Moreover the method preserves the accuracy and convergence behavior of distance-based fitting. Preliminary application to surface mesh generation shows a remarkable improvement of patch quality in high curvature regions. 展开更多
关键词 Curvilinear Mesh Generation High-Order Methods Bézier Curves Curve Fitting Energy minimization
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Maximizing Resilient Throughput in Peer-to-Peer Network
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作者 Bo Liu Fan Qiu +3 位作者 Yanchuan Cao Bin Chang Yi Cui Yuan Xue 《Communications and Network》 2011年第3期168-183,共16页
A unique challenge in P2P network is that the peer dynamics (departure or failure) cause unavoidable disruption to the downstream peers. While many works have been dedicated to consider fault resilience in peer select... A unique challenge in P2P network is that the peer dynamics (departure or failure) cause unavoidable disruption to the downstream peers. While many works have been dedicated to consider fault resilience in peer selection, little understanding is achieved regarding the solvability and solution complexity of this problem from the optimization perspective. To this end, we propose an optimization framework based on the generalized flow theory. Key concepts introduced by this framework include resilience factor, resilience index, and generalized throughput, which collectively model the peer resilience in a probabilistic measure. Under this framework, we divide the domain of optimal peer selection along several dimensions including network topology, overlay organization, and the definition of resilience factor and generalized flow. Within each sub-problem, we focus on studying the problem complexity and finding optimal solutions. Simulation study is also performed to evaluate the effectiveness of our model and performance of the proposed algorithms. 展开更多
关键词 PEER-TO-PEER Resilient THROUGHPUT maximizing
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