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抽象凸空间上弱KyFan点的存在性及其等价描述 被引量:5
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作者 夏顺友 《辽宁工程技术大学学报(自然科学版)》 CAS 北大核心 2013年第10期1437-1440,共4页
为获得非紧集上不具有任何连续性函数的弱KyFan点的存在性及其等价描述,利用KKM方法和非线性分析中经典的不动点各种等价描述证明思想方法,得到空间不具线性结构、函数定义域不具紧性和函数不具任何连续性的条件下弱KyFan点的存在性及... 为获得非紧集上不具有任何连续性函数的弱KyFan点的存在性及其等价描述,利用KKM方法和非线性分析中经典的不动点各种等价描述证明思想方法,得到空间不具线性结构、函数定义域不具紧性和函数不具任何连续性的条件下弱KyFan点的存在性及其等价性描述的一些结果.结果表明:弱KyFan点、弱KyFan截口点和弱Fan Browder不动点等的存在性等价.若增加空间的线性结构、定义域的紧性和函数的半连续性这些条件就能得到经典的KyFan点、KyFan截口点和Fan Browder不动点的存在性及其相应等价描述,是研究结论的特例. 展开更多
关键词 抽象凸空间 下半连续 弱Kyfan 弱Kyfan截口点 fan Browder不动点 KKM映射 KKM引理 拟抽象凹
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加权Ky Fan差函数的单调性及有关不等式 被引量:1
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作者 胡博 王明建 《西安文理学院学报(自然科学版)》 2012年第4期51-54,共4页
首先给出加权Ky Fan函数的定义,并对这些函数进行隔离和排序,再作出加权Ky Fan差函数,并对这些差函数进行比较,得到关于这些差函数的几个不等式,最终实现对Ky Fan不等式(2)的加细.
关键词 加权Ky fan函数 加权Ky fan差函数 KY fan不等式 加细
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The Middle Miocene lobe-shaped and band-shaped submarine fans in the Lingshui Sag,Qiongdongnan Basin:source-to-sink system,genesis and implication
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作者 Xingzong Yao Congjun Feng +2 位作者 Hongjun Qu Min Zhang Daming Li 《Acta Oceanologica Sinica》 SCIE CAS CSCD 2024年第4期61-79,共19页
Deepwater oil and gas exploration is the key to sustainable breakthroughs in petroleum exploration worldwide.The Central Canyon gas field has confirmed the Lingshui Sag is a hydrocarbon-generating sag,and the deepwate... Deepwater oil and gas exploration is the key to sustainable breakthroughs in petroleum exploration worldwide.The Central Canyon gas field has confirmed the Lingshui Sag is a hydrocarbon-generating sag,and the deepwater reservoirs in the Lingshui Sag still have more fabulous oil and gas exploration potential.Based on drilling data and three-dimensional(3D)seismic data,this paper uses seismic facies analysis,seismic attribute analysis,and coherence slice analysis to identify the types of submarine fans(lobe-shaped and band-shaped submarine fans)that developed in the Lingshui Sag during the Middle Miocene,clarify the source-to-sink system of the submarine fans and discuss the genesis mechanism of the submarine fans.The results show that:(1)the deepwater source-to-sink system of the Lingshui Sag in the Middle Miocene mainly consisted of a“delta(sediment supply)-submarine canyon(sediment transport channel)-submarine fan(deepwater sediment sink)”association;(2)the main factor controlling the formation of the submarine fans developed in the Lingshui Sag was on the relative sea level decline;and(3)the bottom current reworked the lobe-shaped submarine fan that developed in the northern Lingshui Sag and formed the band-shaped submarine fan with a greater sand thickness.This paper aims to provide practical geological knowledge for subsequent petroleum exploration and development in the deepwater area of the Qiongdongnan Basin through a detailed analysis of the Middle Miocene submarine fan sedimentary system developed in the Lingshui Sag. 展开更多
关键词 submarine fan source-to-sink system genesis mechanism Middle Miocene Lingshui Sag
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Effects of desert plant communities on soil enzyme activities and soil organic carbon in the proluvial fan in the eastern foothills of the Helan Mountain in Ningxia,China
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作者 SHEN Aihong SHI Yun +8 位作者 MI Wenbao YUE Shaoli SHE Jie ZHANG Fenghong GUO Rui HE Hongyuan WU Tao LI Hongxia ZHAO Na 《Journal of Arid Land》 SCIE CSCD 2024年第5期725-737,共13页
It is of great significance to study the effects of desert plants on soil enzyme activities and soil organic carbon(SOC)for maintaining the stability of the desert ecosystem.In this study,we studied the responses of s... It is of great significance to study the effects of desert plants on soil enzyme activities and soil organic carbon(SOC)for maintaining the stability of the desert ecosystem.In this study,we studied the responses of soil enzyme activities and SOC fractions(particulate organic carbon(POC)and mineral-associated organic carbon(MAOC))to five typical desert plant communities(Convolvulus tragacanthoides,Ephedra rhytidosperma,Stipa breviflora,Stipa tianschanica var.gobica,and Salsola laricifolia communities)in the proluvial fan in the eastern foothills of the Helan Mountain in Ningxia Hui Autonomous Region,China.We recorded the plant community information mainly including the plant coverage and herb and shrub species,and obtained the aboveground biomass and plant species diversity through sample surveys in late July 2023.Soil samples were also collected at depths of 0–10 cm(topsoil)and 10–20 cm(subsoil)to determine the soil physicochemical properties and enzyme activities.The results showed that the plant coverage and aboveground biomass of S.laricifolia community were significantly higher than those of C.tragacanthoides,S.breviflora,and S.tianschanica var.gobica communities(P<0.05).Soil enzyme activities varied among different plant communities.In the topsoil,the enzyme activities of alkaline phosphatase(ALP)andβ-1,4-glucosidas(βG)were significantly higher in E.rhytidosperma and S.tianschanica var.gobica communities than in other plant communities(P<0.05).The topsoil had higher POC and MAOC contents than the subsoil.Specifically,the content of POC in the topsoil was 18.17%–42.73%higher than that in the subsoil.The structural equation model(SEM)indicated that plant species diversity,soil pH,and soil water content(SWC)were the main factors influencing POC and MAOC.The soil pH inhibited the formation of POC and promoted the formation of MAOC.Conversely,SWC stimulated POC production and hindered MAOC formation.Our study aimed to gain insight into the effects of desert plant communities on soil enzyme activities and SOC fractions,as well as the drivers of SOC fractions in the proluvial fan in the eastern foothills of the Helan Mountain and other desert ecosystems. 展开更多
关键词 proluvial fan desert plant community soil enzyme activity particulate organic carbon mineral-associated organic carbon Helan Mountain
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Debris Fan Produced by Failure of Canyon-Blocking Pyroclastic Flows
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作者 Michael L. Cummings 《Journal of Water Resource and Protection》 CAS 2024年第5期328-360,共33页
Ash-rich pyroclastic flows from the cataclysmic eruption of Mount Mazama (~7700 yr. B. P.), Cascade volcanic arc, Oregon, entered and blocked the narrow, bedrock-lined canyon of the Williamson River approximately 35 t... Ash-rich pyroclastic flows from the cataclysmic eruption of Mount Mazama (~7700 yr. B. P.), Cascade volcanic arc, Oregon, entered and blocked the narrow, bedrock-lined canyon of the Williamson River approximately 35 to 44 km from the source volcano. The blockage impounded a body of water which then released producing four stratigraphic units in the downstream debris fan. The four stratigraphic units are a boulder core comprised of locally sourced bedrock boulders and three sand-rich units including a fine-grained sand unit, a sandy pumice gravel (±basalt/hydrovolcanic tuff) unit, and a pumice pebble-bearing, crystal-rich sand unit. Hand-drilled auger holes up to ~1.6 m deep were used to obtain samples of the sand-rich units. Units were delimited using surface and down-hole observations, composition and texture, estimated density, statistical parameters of grain size, and vertical and lateral distribution of properties. Overtopping followed by rapid incision into the ash-rich pyroclastic flows progressively cleared the canyon, but a bedrock knickpoint near the head of the canyon limited the volume of debris available for transport to about 0.04 km<sup>3</sup> to 0.08 km<sup>3</sup>. Co-deposition of bedrock boulders and lithic-rich sand was followed by rapid deposition with minimal reworking of remobilized pyroclastics. Continued draining of the impounded lake sent hyperconcentrated flows onto the debris fan depositing pumice-rich gravels that graded upward to crystal-rich sands. 展开更多
关键词 Outburst Flood Mount Mazama Debris fan Canyon Blockage Pyroclastic Flows
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Coupling relationship and genetic mechanisms of shelf-edge delta and deep-water fan source-to-sink:A case study in Paleogene Zhuhai Formation in south subsag of Baiyun Sag,Pearl River Mouth Basin,China
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作者 TANG Wu XIE Xiaojun +5 位作者 XIONG Lianqiao GUO Shuai XU Min XU Enze BAI Haiqiang LIU Ziyu 《Petroleum Exploration and Development》 SCIE 2024年第3期589-603,共15页
The coupling relationship between shelf-edge deltas and deep-water fan sand bodies is a hot and cutting-edge field of international sedimentology and deep-water oil and gas exploration.Based on the newly acquired high... The coupling relationship between shelf-edge deltas and deep-water fan sand bodies is a hot and cutting-edge field of international sedimentology and deep-water oil and gas exploration.Based on the newly acquired high-resolution 3D seismic,logging and core data of Pearl River Mouth Basin(PRMB),this paper dissected the shelf-edge delta to deep-water fan(SEDDF)depositional system in the Oligocene Zhuhai Formation of Paleogene in south subsag of Baiyun Sag,and revealed the complex coupling relationship from the continental shelf edge to deep-water fan sedimentation and its genetic mechanisms.The results show that during the deposition of the fourth to first members of the Zhuhai Formation,the scale of the SEDDF depositional system in the study area showed a pattern of first increasing and then decreasing,with deep-water fan developed in the third to first members and the largest plane distribution scale developed in the late stage of the second member.Based on the development of SEDDF depositional system along the source direction,three types of coupling relationships are divided,namely,deltas that are linked downdip to fans,deltas that lack downdip fans and fans that lack updip coeval deltas,with different depositional characteristics and genetic mechanisms.(1)Deltas that are linked downdip to fans:with the development of shelf-edge deltas in the shelf area and deep-water fans in the downdip slope area,and the strong source supply and relative sea level decline are the two key factors which control the development of this type of source-to-sink(S2S).The development of channels on the continental shelf edge is conducive to the formation of this type of S2S system even with weak source supply and high sea level.(2)Deltas that lack downdip fans:with the development of shelf edge deltas in shelf area,while deep water fans are not developed in the downdip slope area.The lack of“sources”and“channels”,and fluid transformation are the three main reasons for the formation of this type of S2S system.(3)Fans that lack updip coeval deltas:with the development of deep-water fans in continental slope area and the absence of updip coeval shelf edge deltas,which is jointly controlled by the coupling of fluid transformation at the shelf edge and the“channels”in the continental slope area. 展开更多
关键词 shelf-edge delta deep-water fan source-to-sink system Paleogene Zhuhai Formation Baiyun Sag Pearl River Mouth Basin
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双星图的LI矩阵的Ky Fan k-范数
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作者 郑馨 戴浩波 金启宇 《哈尔滨商业大学学报(自然科学版)》 CAS 2024年第3期342-345,共4页
树是连通的无圈图,研究树的拉普拉斯矩阵具有重要的图论和实际意义.设G是一个有n个点和m个边的图,A(G)和D(G)分别是图G的邻接矩阵和对角度矩阵,那么G的拉普拉斯矩阵定义为L(G)=D(G)-A(G).LI矩阵定义为LI(G)=L(G)-(2m/n)I_(n),其中I_(n)... 树是连通的无圈图,研究树的拉普拉斯矩阵具有重要的图论和实际意义.设G是一个有n个点和m个边的图,A(G)和D(G)分别是图G的邻接矩阵和对角度矩阵,那么G的拉普拉斯矩阵定义为L(G)=D(G)-A(G).LI矩阵定义为LI(G)=L(G)-(2m/n)I_(n),其中I_(n)是单位矩阵.图的LI矩阵的Ky Fan k-范数代表了拉普拉斯特征值和拉普拉斯特征值平均值之间距离的有序和.研究了双星图的LI矩阵的Ky Fan k-范数,证明了双星图的LI矩阵的Ky Fan k-范数满足文献[6]中提出的猜想. 展开更多
关键词 双星图 拉普拉斯矩阵 LI矩阵 Ky fan k-范数 能量 奇异值
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广义的Ky Fan定理
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作者 何秋锦 李永刚 《周口师范学院学报》 CAS 2024年第2期1-4,共4页
矩阵行列式是矩阵分析学中一个很重要的分支,利用矩阵外代数,可以把行列式的计算转换成矩阵的迹算子。首先,从典型的Ky Fan定理出发,给出了该定理的一个等价形式,并且利用Brunn-Minkowski不等式给出了定理的证明。其次,利用凸函数的性质... 矩阵行列式是矩阵分析学中一个很重要的分支,利用矩阵外代数,可以把行列式的计算转换成矩阵的迹算子。首先,从典型的Ky Fan定理出发,给出了该定理的一个等价形式,并且利用Brunn-Minkowski不等式给出了定理的证明。其次,利用凸函数的性质,得到了Ky Fan定理的一个更一般的表示形式。 展开更多
关键词 外代数 凸函数 BRUNN-MINKOWSKI不等式 Ky fan定理
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FAN1基因c.1799A>T突变与巨核细胞性间质性肾炎的关联
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作者 刘珍玉 张俊宁 +2 位作者 杨雪丽 王广宇 侯显良 《华夏医学》 CAS 2024年第3期48-53,共6页
目的探究巨核细胞性间质性肾炎(KIN)与FAN1基因突变的关联性。方法2022年10月,发现一个家族聚集性肾炎家系。对家系成员进行全外显子组测序以确定候选基因,并通过Alpine分析、遗传变异判读和Sanger测序分析该基因。结果肾病家系先证者... 目的探究巨核细胞性间质性肾炎(KIN)与FAN1基因突变的关联性。方法2022年10月,发现一个家族聚集性肾炎家系。对家系成员进行全外显子组测序以确定候选基因,并通过Alpine分析、遗传变异判读和Sanger测序分析该基因。结果肾病家系先证者临床表型为肾炎,先证者母亲检出FAN1基因c.1799A>T突变。对家系中杂合性成员采用Sanger测序,也检测到相同的突变基因,依据美国医学遗传学与基因组学学会(ACMG)推荐指南,将其归类为意义不明的基因突变。本研究中的家系性肾炎表型与KIN部分相符。结论本研究中家系性肾炎的表型与FAN1基因c.1799A>T位点突变有密切关联。 展开更多
关键词 肾炎 fan1基因 巨核细胞性间质性肾炎 全外显子组测序
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CHARACTERISTICS OF FAN STALLING BASED ON CORRELATED DIMENSIONS 被引量:2
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作者 谷勇霞 周忠宁 李意民 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第4期362-366,共5页
Different from the previous qualitative analysis of linear systems in time and frequency domains, the method for describing nonlinear systems quantitatively is proposed based on correlated dimensions. Nonlinear dynami... Different from the previous qualitative analysis of linear systems in time and frequency domains, the method for describing nonlinear systems quantitatively is proposed based on correlated dimensions. Nonlinear dynamics theory is used to analyze the pressure data of a contrarotating axial flow fan. The delay time is 18 and the embedded dimension varies from 1 to 25 through phase-space reconstruction. In addition, the correlated dimensions are calculated before and after stalling. The results show that the correlated dimensions drop from 1. 428 before stalling to 1. 198 after stalling, so they are sensitive to the stalling signal of the fan and can be used as a characteristic quantity for the judging of the fan stalling. 展开更多
关键词 fan with contra-rotating axis fan stalling correlated dimensions phase-space reconstruction
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Temperature-Based Fan Speed Optimization Strategy
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作者 Chucheng Wang Chongyi Luo +3 位作者 Junnian Wei Haiyang Peng Xiaorong Zhong Cai Ye 《Journal of Electronic Research and Application》 2024年第3期135-141,共7页
As energy efficiency and indoor comfort increasingly become key standards in modern residential and office environments,research on intelligent fan speed control systems has become particularly important.This study ai... As energy efficiency and indoor comfort increasingly become key standards in modern residential and office environments,research on intelligent fan speed control systems has become particularly important.This study aims to develop a temperature-feedback-based fan speed optimization strategy to achieve higher energy efficiency and user comfort.Firstly,by analyzing existing fan speed control technologies,their main limitations are identified,such as the inability to achieve smooth speed transitions.To address this issue,a BP-PID speed control algorithm is designed,which dynamically adjusts fan speed based on indoor temperature changes.Experimental validation demonstrates that the designed system can achieve smooth speed transitions compared to traditional fan systems while maintaining stable indoor temperatures.Furthermore,the real-time responsiveness of the system is crucial for enhancing user comfort.Our research not only demonstrates the feasibility of temperature-based fan speed optimization strategies in both theory and practice but also provides valuable insights for energy management in future smart home environments.Ultimately,this research outcome will facilitate the development of smart home systems and have a positive impact on environmental sustainability. 展开更多
关键词 Smart temperature control fan speed optimization Temperature feedback control Dynamic speed adjustment Smart home systems Energy-saving technology
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弱Fan Ky点与不具连续性条件的函数的极大极小不等式定理 被引量:5
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作者 向淑文 《贵州工业大学学报(自然科学版)》 CAS 2004年第4期1-5,共5页
基于弱FanKy点的概念,不具任何连续性条件的函数弱FanKy点的存在性,给出了几个极大极小不等式定理,所得结果将著名的FanKy不等式定理推广至不具连续性条件的情形。
关键词 fan Ky点 极大极小不等式定理 fan Ky不等式
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广义Ky Fan点的通有稳定性 被引量:1
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作者 余孝军 林志 《大学数学》 北大核心 2008年第6期43-47,共5页
得到一个广义的Ky Fan不等式,它以通常的Ky Fan不等式为特例.我们讨论了在一致度量诱导的拓扑结构和二元泛函上方图形的拓扑结构下广义Ky Fan不等式问题构成的空间M中,大多数(在Baire分类意义下)广义Ky Fan不等式问题的所有广义Ky Fan... 得到一个广义的Ky Fan不等式,它以通常的Ky Fan不等式为特例.我们讨论了在一致度量诱导的拓扑结构和二元泛函上方图形的拓扑结构下广义Ky Fan不等式问题构成的空间M中,大多数(在Baire分类意义下)广义Ky Fan不等式问题的所有广义Ky Fan点都是稳定的. 展开更多
关键词 广义Ky fan不等式 广义Ky fan 上图拓扑 通有稳定性
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加权Ky Fan商函数的单调性和有关的几个不等式 被引量:1
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作者 巴玉强 王明建 《西安文理学院学报(自然科学版)》 2012年第4期55-58,共4页
首先给出加权Ky Fan函数的定义,并对这些函数进行隔离和排序,再作出加权Ky Fan商函数,并对这些商函数进行比较,得到关于这些商函数的几个不等式,最终实现对不等式(2)的加细.
关键词 加权Ky fan函数 加权Ky fan商函数 不等式 加细
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Fan定理的简捷证明
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作者 赵克文 胡冠章 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2001年第2期115-115,共1页
关键词 fan定理 fan条件 简单圈 连通图 哈密尔顿图 图论
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主动脉弓FAN氏分型法再认识
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作者 范卫东 魏慧娜 +5 位作者 张由建 李刚 孙彦彦 张雪亚 韩杰 卢甲 《河南大学学报(医学版)》 CAS 2019年第3期208-210,共3页
〔目的〕探讨主动脉弓FAN氏[1]分型亚型及对主动脉腔内修复策略的影响。〔方法〕回顾性分析收集2015年到2018年间,6例B型主动脉夹层腔内治疗后发生逆撕或内漏病例。分析CTA图像、植入支架直径放大率和特性、新发病变特点(时间、位置及形... 〔目的〕探讨主动脉弓FAN氏[1]分型亚型及对主动脉腔内修复策略的影响。〔方法〕回顾性分析收集2015年到2018年间,6例B型主动脉夹层腔内治疗后发生逆撕或内漏病例。分析CTA图像、植入支架直径放大率和特性、新发病变特点(时间、位置及形态)与主动脉弓部形态关系。〔结果〕6例患者均为F3型主动脉弓。术后6 d^3 a时间发现新发病变。发生逆撕4例,内漏2例。5例新发病变位于B区,1例位于A区。〔结论〕在涉及弓部腔内治疗风险评估、铆钉区确定及置入物选择时,FAN氏分型及亚型具有意义。 展开更多
关键词 fan氏分型 fan氏分型亚型 主动脉弓分型 主动脉腔内治疗 主动脉支架置入
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序拓扑空间上的Ky Fan不等式
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作者 李毅 邓小红 《贵州师范大学学报(自然科学版)》 CAS 2001年第2期65-67,共3页
在拓扑半格 (即序拓扑空间 )的框架下 ,利用具有 path connecedintervals的拓扑半格上的KKM定理 ,得到了KyFan不等式、KyFan引理、Fan
关键词 KY fan不等式 序拓扑空间 拓扑半格 KKM定理 非线性分析 Kyfan引理 fan-Browder不动点定理
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转移开覆盖的Ky Fan型匹配定理及其应用 被引量:3
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作者 文开庭 《黄山学院学报》 2004年第6期1-3,共3页
建立了转移开覆盖的一个新的Ky Fan型匹配定理。作为应用,研究了Fan-Browder型重合 定理、Ky Fan型最佳逼近定理和抽象经济平衡存在定理。
关键词 超凸空间 Kyfan型匹配定理 Kyfan型最佳逼近定理 抽象经济平衡
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著名的Fan定理的简短证明
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作者 赵克文 胡冠章 《贵州大学学报(自然科学版)》 2000年第4期313-314,共2页
给出Fan定理的简短证明
关键词 fan定理 fan条件 简短证明 简单图 哈密尔顿图 公共邻点
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T-凸空间中Fan Ky点与Nash平衡点存在定理
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作者 陈治友 《高校应用数学学报(A辑)》 北大核心 2020年第1期108-114,共7页
充分利用KKM方法和经典的集值分析方法,在不具有线性结构的T-凸空间中,建立并证明了弱Fan Ky点存在引理,并借助该引理获得了两个Fan Ky点存在定理;最后,作为对Fan Ky点存在定理的应用,在T-凸策略空间中建立并证明了n人非合作博弈Nash平... 充分利用KKM方法和经典的集值分析方法,在不具有线性结构的T-凸空间中,建立并证明了弱Fan Ky点存在引理,并借助该引理获得了两个Fan Ky点存在定理;最后,作为对Fan Ky点存在定理的应用,在T-凸策略空间中建立并证明了n人非合作博弈Nash平衡点存在定理. 展开更多
关键词 T-凸空间 fan Ky点 fan Ky点 NASH平衡点
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