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Minimal systems of generators for central division algebra and semi-simple algebra
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作者 QIU Qizhang SUN Ling 《Chinese Science Bulletin》 SCIE EI CAS 1998年第21期1777-1780,共4页
Suppose that F is a field of characteristic zero and(ⅰ)D is a finite-dimensional central division algabra over F;(ⅱ)A is a finite-dimensional semi-simple algabra over F.It is proved that as F-algebras,D and A can be... Suppose that F is a field of characteristic zero and(ⅰ)D is a finite-dimensional central division algabra over F;(ⅱ)A is a finite-dimensional semi-simple algabra over F.It is proved that as F-algebras,D and A can be generated by two elements respectively. 展开更多
关键词 central division algebra semi-simple algebra generator minimal system of generators
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A lattice metamaterial-based sandwich cylindrical system for numerical simulation approach of vibroacoustic transmission considering triply periodic minimal surface
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作者 M.R.ZARASTVAND E.ABDOLI R.TALEBITOOTI 《Applied Mathematics and Mechanics(English Edition)》 2025年第11期2035-2054,共20页
This study uses numerical and analytical schemes to consider the wave propagation behavior of a triply periodic minimal surface sandwich cylindrical system(TPMS-SCS)for the first time.Although these structures exhibit... This study uses numerical and analytical schemes to consider the wave propagation behavior of a triply periodic minimal surface sandwich cylindrical system(TPMS-SCS)for the first time.Although these structures exhibit outstanding physical and mechanical properties,their dynamic and acoustic features have not been reported yet.This study addresses this gap by calculating the sound transmission loss(STL)coefficient within the framework of the wave approach across various architectures,including the primitive(P),Schoen gyroid(G),and wrapped package-graph(IWP)of a TPMS lattice structure.To determine an analytical STL,a third-order approach is used to precisely capture the stress-strain distribution based on the thickness coordinate,thereby providing a simultaneous solution to the general characteristic relations along with fluid-structure coupling.Given the lack of studies for frequency and STL comparisons,the structure is modeled considering a finite element(FE)design,which is a challenging and time-consuming process because of the complex topological TPMS configurations incorporated within a sandwich cylinder.In fact,achieving convincing computational accuracy requires fine mesh discretization,which significantly increases computational costs during vibroacoustic analysis.Using the numerical results from the COMSOL software Multiphysics,the accuracy of the analytical STL spectrum is verified for different configurations,including P,G,and IWP.The effective acoustic specifications of a TPMS-SCS in the frequency domain are examined by the comparison of the STL with that of a simple cylinder of the same mass.In this context,it would also be beneficial to examine the effect of TPMS thickness,which can demonstrate the importance of the present results.The findings of this approach can be beneficial for scholars working on the numerical and analytical sound insulation characteristics of metamaterial-based cylindrical systems. 展开更多
关键词 lattice structure vibration transmission triply periodic minimal surface(TPMS) finite element(FE) wave propagation
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Global research status in the treatment of glaucoma:a systematic bibliometric analysis
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作者 Wen-Hui Liu Chang Shu +1 位作者 Bei-Di Jia Xiao-Rong Li 《International Journal of Ophthalmology(English edition)》 2026年第2期379-392,共14页
AIM:To present an overview of the research on global glaucoma treatment in the last decade in terms of publication year,journals,countries/regions,organizations,references,and keywords,to investigate the current resea... AIM:To present an overview of the research on global glaucoma treatment in the last decade in terms of publication year,journals,countries/regions,organizations,references,and keywords,to investigate the current research international trends and hot topics in this area.METHODS:Bibliometric analysis was conducted on 9128 articles in the Web of Science Core Collection(WoSCC;Clarivate)database.Quantitative and qualitative analysis was employed using VOSviewer(v1.6.18),Pajek(v1.0.0.0),and CiteSpace(v6.1.R2)software.RESULTS:The 9128 papers relating to glaucoma treatment were published from April 2013 to April 2023,of which 7482 articles(82%)were original research articles and 1464(18%)were review articles.The United States(2867)and Johns Hopkins University(166)were the most productive country and institution,respectively,but the University College London had the highest h-index(54).The Journal of Glaucoma was the most productive and Ophthalmology had the highest h-index compared with other journals.The Keywords of interest included treatment surgery,cyclophotocoagulation,minimally invasive glaucoma surgery(MIGS),trabeculectomy,baerveldt,epidemiology,medication adherence,nanoparticle,optical coherence tomography(OCT),gene therapy,and artificial intelligence(AI).Glaucoma surgery appeared as a current research hotspot through the analysis of keywords.CONCLUSION:This study provides insights into the research trends and potential research hotspots in the treatment of glaucoma.This will help researchers to evaluate research policies and to promote international cooperation. 展开更多
关键词 glaucoma treatment bibliometric analysis SURGERY minimally invasive glaucoma surgery NANOPARTICLE
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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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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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Multidimensional Multiplicative Large Sets in Totally Minimal Systems
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作者 Jian Jie ZHAO 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2023年第8期1635-1649,共15页
In this paper,it is shown that for a residual set of points in a totally minimal system with finitely many commuting homeomorphisms,the set of return times to any non-empty open set contains a subset with positive mul... In this paper,it is shown that for a residual set of points in a totally minimal system with finitely many commuting homeomorphisms,the set of return times to any non-empty open set contains a subset with positive multidimensional multiplicative upper Banach density,extending a previous result by Glasscock,Koutsogiannis and Richter.Meanwhile,we give some combinatorial properties of the sets with positive multidimensional multiplicative upper Banach density. 展开更多
关键词 Multidimensional multiplicative upper Banach density totally minimal systems
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Comparison of the modified Wiltse’s approach with spinal minimally invasive system and traditional approach for the therapy of thoracolumbar fracture 被引量:19
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作者 Jie Chang Jiang Cao +3 位作者 Ziyan Huang Boyao Wang Tao Sui Xiaojian Cao 《The Journal of Biomedical Research》 CAS CSCD 2020年第5期379-386,共8页
Thoracolumbar fractures are usually treated by open posterior pedicle screw fixation.However,this procedure involves massive paraspinal muscle stripping,inflicting surgical trauma,and prolonged X-ray exposure.In this ... Thoracolumbar fractures are usually treated by open posterior pedicle screw fixation.However,this procedure involves massive paraspinal muscle stripping,inflicting surgical trauma,and prolonged X-ray exposure.In this study,we observed 127 patients with single-segment injury thoracolumbar fractures.Thirty-six patients were treated by the modified Wiltse’s paraspinal approach with minimally invasive channel system,while 91 patients were treated via traditional posterior approach.Operation time,intraoperative blood loss,intraoperative fluoroscopy frequency,screw placement accuracy,visual analogue scale score,and Cobb’s angle of two groups were compared.The X-ray exposure times were notably reduced(4.2±1.6) in the new approach group(P<0.05).The pedicle screw placement accuracy and Cobb’s angle after surgery were similar in the two groups.We conclude that modified Wiltse’s paraspinal approach w ith spinal minimally invasive channel system surgery can significantly reduce the X-ray exposure times and is an alternative therapy for the thoracolumbar fracture. 展开更多
关键词 thoracolumbar fracture Wiltse’s paraspinal approach spinal minimally invasive channel system
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The impact of minimally invasive surgeries for the treatment of symptomatic benign prostatic hyperplasia on male sexual function: a systematic review 被引量:13
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作者 Ryan W. Frieben Hao-Cheng Lin +3 位作者 Peter E Hinh Francesco Berardinelli Steven E. Canfield Run Wang 《Asian Journal of Andrology》 SCIE CAS CSCD 2010年第4期500-508,共9页
A systematic review of randomized controlled trials and cohort studies was conducted to evaluate data for the effects of minimally invasive procedures for treatment of symptomatic benign prostatic hyperplasia (BPH) ... A systematic review of randomized controlled trials and cohort studies was conducted to evaluate data for the effects of minimally invasive procedures for treatment of symptomatic benign prostatic hyperplasia (BPH) on male sexual function. The studies searched were trials that enrolled men with symptomatic BPH who were treated with laser surgeries, transurethral microwave therapy (TUMT), transurethral needle ablation of the prostate (TUNA), transurethral ethanol ablation of the prostate (TEAP) and high-intensity frequency ultrasound (HIFU), in comparison with traditional transurethral resection of the prostate (TURP) or sham operations. A total of 72 studies were identified, of which 33 met the inclusion criteria. Of the 33 studies, 21 were concerned with laser surgeries, six with TUMT, four with TUNA and two with TEAP containing information regarding male sexual function. No study is available regarding the effect of HIFU for BPH on male sexual function. Our analysis shows that minimally invasive surgeries for BPH have comparable effects to those of TURP on male erectile function. Collectively, less than 15.4% or 15.2% of patients will have either decrease or increase, respectively, of erectile function after laser procedures, TUMT and TUNA. As observed with TURP, a high incidence of ejaculatory dysfunction (EjD) is common after treatment of BPH with holmium, potassium-titanyl-phosphate and thulium laser therapies (〉 33.6%). TUMT, TUNA and neodymium:yttrium aluminum garnet visual laser ablation or interstitial laser coagulation for BPH has less incidence of EjD, but these procedures are considered less effective for BPH treatment when compared with TURP. 展开更多
关键词 benign prostatic hyperplasia ejaculatory dysfunction erectile dysfunction minimally invasive surgery sexual function transurethral resection of the prostate
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Sensitivity and regionally proximal relation in minimal systems 被引量:5
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作者 SHAO Song YE XiangDong ZHANG RuiFeng 《Science China Mathematics》 SCIE 2008年第6期987-994,共8页
A topological dynamical system is n-sensitive,if there is a positive constant such that in each non-empty open subset there are n distinct points whose iterates will be apart from the constant at least for a same mome... A topological dynamical system is n-sensitive,if there is a positive constant such that in each non-empty open subset there are n distinct points whose iterates will be apart from the constant at least for a same moment.The properties of n-sensitivity in minimal systems are investigated.It turns out that a minimal system is n-sensitive if and only if the n-th regionally proximal relation Q_n contains a point whose coordinates are pairwise distinct.Moreover,the structure of a minimal system which is n-sensitive but not(n+1)-sensitive(n≥2)is determined. 展开更多
关键词 sensitivity n-sensitivity regionally proximal relation minimalITY 37B05
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Innovative Design and Additive Manufacturing of Regenerative Cooling Thermal Protection System Based on the Triply Periodic Minimal Surface Porous Structure 被引量:4
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作者 Xinglong Wang Cheng Wang +3 位作者 Xin Zhou Mingkang Zhang Peiyu Zhang Lei Wang 《Computer Modeling in Engineering & Sciences》 SCIE EI 2020年第5期495-508,共14页
The new regenerative cooling thermal protection system exhibits the multifunctional characteristics of load-carrying and heat exchange cooling,which are fundamental for the lightweight design and thermal protection of... The new regenerative cooling thermal protection system exhibits the multifunctional characteristics of load-carrying and heat exchange cooling,which are fundamental for the lightweight design and thermal protection of hypersonic vehicles.Triply periodic minimal surface(TPMS)is especially suitable for the structural design of the internal cavity of regenerative cooling structures owing to its excellent structural characteristics.In this study,test pieces were manufactured using Ti6Al4V lightweight material.We designed three types of porous test pieces,and the interior was filled with a TPMS lattice(Gyroid,Primitive,I-WP)with a porosity of 30%.All porous test pieces were manufactured via selective laser melting technology.A combination of experiments and finite element simulations were performed to study the selection of the internal cavity structure of the regenerative cooling thermal protection system.Hence,the relationship between the geometry and mechanical properties of a unit cell is established,and the deformation mechanism of the porous unit cell is clarified.Among the three types of porous test pieces,the weight of the test piece filled with the Gyroid unit cell was reduced by 8.21%,the average tensile strength was reduced by 17.7%compared to the solid test piece,while the average tensile strength of the Primitive and I-WP porous test pieces were decreased by 30.5%and 33.3%,respectively.Compared with the other two types of unit cells,Gyroid exhibited better mechanical conductivity characteristics.Its deformation process was characterised by stretching,shearing,and twisting,while the Primitive and I-WP unit cells underwent tensile deformation and tensile and shear deformation,respectively.The finite element predictions in the study agree well with the experimental results.The results can provide a basis for the design of regenerative cooling thermal protection system. 展开更多
关键词 Triply periodic minimal surface(TPMS) regenerative cooling thermal protection system selective laser melting mechanical properties fracture analysis
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Generation of minimally persistent circle formation for a multi-agent system 被引量:3
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作者 罗小元 邵士凯 +3 位作者 张玉燕 李绍宝 关新平 刘志新 《Chinese Physics B》 SCIE EI CAS CSCD 2014年第2期614-622,共9页
In this paper, two methods of generating minimally persistent circle formation are presented. The proposed methods adopt a leader-follower strategy and all followers are firstly motivated to move into the leader's in... In this paper, two methods of generating minimally persistent circle formation are presented. The proposed methods adopt a leader-follower strategy and all followers are firstly motivated to move into the leader's interaction range. Based on the information about relative angle and relative distance, two numbering schemes are proposed to generate minimally persistent circle formation. Distributed control laws are also designed to maintain the desired relative distance between agents. The distinctive features of the proposed methods are as follows. First, only 2n - 3 unilateral communication links for n agents are needed during the circle formation process and thus the communication complexity can be reduced. In addition, the formation topology is kept fixed for the whole motion and achieves a self-stability property. Finally, each follower keeps a regualr interval with its neighbors and the formation converges to a uniform circle formation. Simulation results are also provided to demonstrate the effectiveness of the proposed methods. 展开更多
关键词 multiagent system formation control minimally persistent graph numbering strategy
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Minimally invasive surgical treatment of intrahepatic cholangiocarcinoma:A systematic review 被引量:3
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作者 Renato Patrone Francesco Izzo +5 位作者 Raffaele Palaia Vincenza Granata Guglielmo Nasti Alessandro Ottaiano Gilda Pasta Andrea Belli 《World Journal of Gastrointestinal Oncology》 SCIE 2021年第12期2203-2215,共13页
BACKGROUND Intrahepatic cholangiocarcinoma(ICC)is the second most common primary liver cancer and is characterized by an aggressive behavior and a dismal prognosis.Radical surgical resection represents the only potent... BACKGROUND Intrahepatic cholangiocarcinoma(ICC)is the second most common primary liver cancer and is characterized by an aggressive behavior and a dismal prognosis.Radical surgical resection represents the only potentially curative treatment.Despite the increasing acceptance of laparoscopic liver resection for surgical treatment of malignant liver diseases,its use for ICC is not commonly performed.In fact,to achieve surgical free margins a major resection and/or vascular and/or biliary reconstructions is often needed,as well as an associated lymph node dissection.AIM To review and summarize the current evidences on the minimally invasive resection of ICC.METHODS A systematic review of the literature based on the criteria predetermined by the investigators was performed from the 1st of January 2009 up to the 1st of January2021 in 4 databases(PubMed,Scopus,Google Scholar,and Cochrane databases).All retrospective and prospective studies reporting on the comparative outcomes of open vs minimally invasive treatment of ICC were included.An evaluation of manuscripts quality was achieved using Methodological Index for Non-Randomized Studies criteria and Newcastle-Ottawa Scale.RESULTS After a systematic search 9 studies fulfilled the inclusion criteria.Among the all 3012 included patients,2450 were operated by an open approach and 562 by a minimally invasive(laparoscopic)approach.Baseline characteristics,tumor characteristics,surgical outcomes and oncological outcomes were collected and analyzed,highlighting values with a statistical significant difference between patients treated with open or laparoscopic approach.Shorter hospital stay and lower intraoperative blood losses were reported by some Authors in minimally invasive surgery,on the contrary,in the open group there was a higher number of lymphadenectomies and a higher percentage of major hepatectomies.CONCLUSION Minimally invasive resection of ICC has some short-term benefits and it is safe and feasible only in selected centers with a high experience in laparoscopic approach for liver surgery.Minimally invasive surgery,actually,was considered mainly in patients with a tumor with a diameter<5 cm,without invasion of main biliary duct or main vessel and no vascular or biliary reconstructions were planned.Further studies are needed to elucidate its impact on long term oncologic outcomes. 展开更多
关键词 CHOLANGIOCARCINOMA minimally invasive LAPAROSCOPIC Liver resection HEPATECTOMY Biliary neoplasm
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Perioperative outcomes in minimally invasive lumbar spine surgery: A systematic review 被引量:3
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作者 Branko Skovrlj Patrick Belton +1 位作者 Hekmat Zarzour Sheeraz A Qureshi 《World Journal of Orthopedics》 2015年第11期996-1005,共10页
AIM: To compare minimally invasive(MIS) and open techniques for MIS lumbar laminectomy, direct lateral and transforaminal lumbar interbody fusion(TLIF) surgeries with respect to length of surgery, estimated blood loss... AIM: To compare minimally invasive(MIS) and open techniques for MIS lumbar laminectomy, direct lateral and transforaminal lumbar interbody fusion(TLIF) surgeries with respect to length of surgery, estimated blood loss(EBL), neurologic complications, perioperative transfusion, postoperative pain, postoperative narcotic use, and length of stay(LOS).METHODS: A systematic review of previously published studies accessible through Pub Med was performed. Only articles in English journals or published with English language translations were included. Level of evidence of the selected articles was assessed. Statistical data was calculated with analysis of variance with P < 0.05 considered statistically significant.RESULTS: A total of 11 pertinent laminectomy studies, 20 direct lateral studies, and 27 TLIF studies were found. For laminectomy, MIS techniques resulted in a significantly longer length of surgery(177.5 min vs 129.0 min, P = 0.04), shorter LOS(4.3 d vs 5.3 d, P = 0.01) and less perioperative pain(visual analog scale: 16 ± 17 vs 34 ± 31, P = 0.04). There is evidence of decreased narcotic use for MIS patients(postoperative intravenous morphine use: 9.3 mg vs 42.8 mg), however this difference is of unknown significance. Direct lateral approaches have insufficient comparative data to establish relative perioperative outcomes. MIS TLIF had superior EBL(352 mL vs 580 mL, P < 0.0001) and LOS(7.7 d vs 10.4 d, P < 0.0001) and limited data to suggest lower perioperative pain.CONCLUSION: Based on perioperative outcomes data, MIS approach is superior to open approach for TLIF. For laminectomy, MIS and open approaches can be chosen based on surgeon preference. For lateral approaches, there is insufficient evidence to find noninferior perioperative outcomes at this time. 展开更多
关键词 minimally invasive Spine surgery Lumbar spine Perioperative outcomes Estimated blood loss Neurologic complications TRANSFUSION Postoperative pain Narcotic use Length of stay Length of surgery
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Operation and Force Analysis of the Guide Wire in a Minimally Invasive Vascular Interventional Surgery Robot System 被引量:5
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作者 YANG Xue WANG Hongbo +1 位作者 SUN Li YU Hongnian 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2015年第2期249-257,共9页
To develop a robot system for minimally invasive surgery is significant,however the existing minimally invasive surgery robots are not applicable in practical operations,due to their limited functioning and weaker per... To develop a robot system for minimally invasive surgery is significant,however the existing minimally invasive surgery robots are not applicable in practical operations,due to their limited functioning and weaker perception.A novel wire feeder is proposed for minimally invasive vascular interventional surgery.It is used for assisting surgeons in delivering a guide wire,balloon and stenting into a specific lesion location.By contrasting those existing wire feeders,the motion methods for delivering and rotating the guide wire in blood vessel are described,and their mechanical realization is presented.A new resistant force detecting method is given in details.The change of the resistance force can help the operator feel the block or embolism existing in front of the guide wire.The driving torque for rotating the guide wire is developed at different positions.Using the CT reconstruction image and extracted vessel paths,the path equation of the blood vessel is obtained.Combining the shapes of the guide wire outside the blood vessel,the whole bending equation of the guide wire is obtained.That is a risk criterion in the delivering process.This process can make operations safer and man-machine interaction more reliable.A novel surgery robot for feeding guide wire is designed,and a risk criterion for the system is given. 展开更多
关键词 minimally invasive wire feeder force analysis moment of inertia risk criterion
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Improvement of the minimal residual method for solving nonsymmetric linear systems 被引量:1
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作者 张居丽 蒋尔雄 《Journal of Shanghai University(English Edition)》 CAS 2007年第4期332-335,共4页
In this paper, the minimal residual (MRES) method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, a... In this paper, the minimal residual (MRES) method for solving nonsymmetric equation systems was improved, the recurrence relation was deduced between the approximate solutions of the linear equation system Ax = b, and a more effective method was presented, which can reduce the operational count and the storage. 展开更多
关键词 nonsymmetric matrix minimal residual (MRES) method the recurrence relation between approximate solutions.2000 Mathematics Subject Classification 65F10
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MINIMAL PERIOD SYMMETRIC SOLUTIONS FOR SOME HAMILTONIAN SYSTEMS VIA THE NEHARI MANIFOLD METHOD
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作者 ChouhaÏd SOUISSI 《Acta Mathematica Scientia》 SCIE CSCD 2020年第3期614-624,共11页
For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z... For a given T>0,we prove,under the global ARS-condition and using the Nehari manifold method,the existence of a T-periodic solution having the W-symmetry introduced in[21],for the hamiltonian system z+V'(z)=0,z∈R^N,N∈N^*.Moreover,such a solution is shown to have T as a minimal period without relaying to any index theory.A multiplicity result is also proved under the same condition. 展开更多
关键词 HAMILTONIAN VARIATIONAL minimal period Nehari Manifold
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A constructive approach to minimal realization problem of 2D systems
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作者 Huijin FAN Hua CHENG Li XU 《控制理论与应用(英文版)》 EI 2009年第3期335-343,共9页
Unlike in the 1D case, it is not always possible to find a minimal state-space realization for a 2D system except for some particular categories. The purpose of this paper is to explore a constructive approach to the ... Unlike in the 1D case, it is not always possible to find a minimal state-space realization for a 2D system except for some particular categories. The purpose of this paper is to explore a constructive approach to the minimal Roesser model realization problem for a class of 2D systems which does not belong to the clarified categories. As one of the main results, a constructive realization procedure is first proposed. Based on the proposed procedure, sufficient conditions and explicit construction for minimal realizations of the considered 2D systems are shown. In addition, possible variations and applications of the obtained results are discussed and illustrative examples are presented. 展开更多
关键词 2D systems minimal realization Roesser local state-space model
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Optimum Maintenance Policy for a One-Shot System with Series Structure Considering Minimal Repair
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作者 Tomohiro Kitagawa Tetsushi Yuge Shigeru Yanagi 《Applied Mathematics》 2015年第2期326-331,共6页
One-shot systems such as missiles and extinguishers are placed in storage for a long time and used only once during their lives. Their reliability deteriorates with time even when they are in storage, and their failur... One-shot systems such as missiles and extinguishers are placed in storage for a long time and used only once during their lives. Their reliability deteriorates with time even when they are in storage, and their failures are detected only through inspections for their characteristics. Thus, we need to decide an appropriate inspection policy for such systems. In this paper, we deal with a system comprising non-identical units in series, where only minimal repairs are performed when unit failures are detected by periodic inspections. The system is replaced and becomes “as good as new” when the nth failure of the system is detected. Our objective is to find the optimal inspection interval and number of failures before replacement that minimize the expected total system cost per unit of time. 展开更多
关键词 One-Shot system Maintenance Policy minimal REPAIR COST Rate
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GEOMETRIC FRAMEWORK AND MINIMAL REALIZATIONS OF NONLINEAR SYSTEMS ON FIBRE BUNDLE
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作者 慕小武 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第10期999-1008,共10页
The definition of nonlinear control sysms on fibre bundles proposed by Brockett and Willems is incomplete from the mathematical view geometric framework is proposed and a minimal realization theory is developed for no... The definition of nonlinear control sysms on fibre bundles proposed by Brockett and Willems is incomplete from the mathematical view geometric framework is proposed and a minimal realization theory is developed for nonlinear control systems on fibre bundles which is elaborated as a natural generalization of Sussmann's theory and differs essentially from Van der Schaft's approach. Limitations of realization theory given by Van der Schaft are also discussed. 展开更多
关键词 fibre bundle controllability OBSERVABILITY minimalITY
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Analysis of Stochastic Reliability Characteristics of a Repairable 2-out-of-3 System with Minimal Repair at Failure
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作者 Ibrahim Yusuf Fatima Salman Koki 《Applied Mathematics》 2013年第8期1115-1124,共10页
In this paper, we study the reliability and availability characteristics of a repairable 2-out-of-3 system. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability ch... In this paper, we study the reliability and availability characteristics of a repairable 2-out-of-3 system. Failure and repair times are assumed exponential. The explicit expressions of reliability and availability characteristics such as mean time to system failure (MTSF), steady-state availability, busy period and profit function are derived using Kolmogorov’s forward equations method. Various cases are analyzed graphically to investigate the impact of system parameters on MTSF, availability, busy period and profit function. 展开更多
关键词 minimal REPAIR Reliability AVAILABILITY
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