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p-凸度量空间更广义拟压缩映射不动点迭代 被引量:2
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作者 田有先 胡晓力 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第3期288-293,共6页
在p-凸度量空间内,引入关于p的更广义拟压缩映射序列和广义Ish ikawa型迭代序列,证明了广义Ish ikawa型迭代序列收敛于关于p的更广义拟压缩映射序列的唯一公共不动点.
关键词 p-度量空间 关于P的更广义拟压缩映射序列 Ishikawa迭代格式 不动点
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P-凸度量空间内广义压缩映射不动点的迭代
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作者 田有先 谢声时 《重庆大学学报(自然科学版)》 EI CAS CSCD 北大核心 2005年第8期79-82,共4页
在P-凸度量空间内,对关于p的广义拟压缩映射定义了Ishikawa迭代序列,证明了Ish-ikawa迭代序列收敛于广义拟压缩映射的唯一不动点.这个结果推广和统一了LiuQin-hou,XuHong-kun,DingXie-ping,H.E.Rhoades,田有先,Tianyou-xianandChangShi-... 在P-凸度量空间内,对关于p的广义拟压缩映射定义了Ishikawa迭代序列,证明了Ish-ikawa迭代序列收敛于广义拟压缩映射的唯一不动点.这个结果推广和统一了LiuQin-hou,XuHong-kun,DingXie-ping,H.E.Rhoades,田有先,Tianyou-xianandChangShi-sheng等人的相应结果. 展开更多
关键词 p-度量空间 广义拟压缩映射 Ishikawa迭代格式 不动点
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P-凸度量空间中一类非线性映射的不动点
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作者 田有先 沈世云 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2006年第5期972-977,共6页
介绍了P-凸度量空间和新一类广义拟压缩映射的概念,证明了Ishikawa型迭代序列收敛于新一类广义拟压缩映射的唯一不动点,从而推广和统一了近期的一些相应结果.
关键词 p-度量空间 新一类广义拟压缩映射 ISHIKAWA迭代序列 不动点
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p-平均对称度量关于代数运算的收敛问题
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作者 李法朝 吴从炘 仇计清 《模糊系统与数学》 CSCD 2000年第2期53-59,共7页
引入了广义 Fuzzy数的概念 ,讨论了 p-平均对称差度量 dΔp (参见 [3])在广义 Fuzzy数空间 E* 上关于代数运算的收敛问题。
关键词 p-平均对称差度量 广义Fuzzy数 代数运算 收敛
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p-对称差度量的收敛判别法及极限表达式
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作者 李法朝 李丽霞 蔡习宁 《河北师范大学学报(自然科学版)》 CAS 2000年第2期169-172,共4页
证明了支集一致有界的 Fuzzy数序列 {A~(n) }按 p -平均对称差度量 dΔp 收敛于 Fuzzy数 A~ 的充分必要条件是 :存在 h∈ [0 ,1] ,使得 {an(λ) }和 {bn(λ) }在 [0 ,h]上几乎处处收敛 ,且∫1h[m( A(n)λ ) ] pdλ→ 0 ( n→∞ ) (此... 证明了支集一致有界的 Fuzzy数序列 {A~(n) }按 p -平均对称差度量 dΔp 收敛于 Fuzzy数 A~ 的充分必要条件是 :存在 h∈ [0 ,1] ,使得 {an(λ) }和 {bn(λ) }在 [0 ,h]上几乎处处收敛 ,且∫1h[m( A(n)λ ) ] pdλ→ 0 ( n→∞ ) (此处 ,A(n)λ =[an(λ) ,bn(λ) ]表示 A~(n)的λ -截集 ) ;进而给出了 Fuzzy数序列按 dΔp 展开更多
关键词 p-平均对称差度量 收敛判别 极限表达式 模糊数
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P-凸度量空间内拟压缩映射不动点迭代
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作者 田有先 《四川大学学报(自然科学版)》 CAS CSCD 北大核心 2005年第2期259-263,共5页
在p 凸度量空间内,对关于p的拟压缩映射定义了Ishikawa迭代序列。
关键词 p-度量空间 拟压缩映射 Ishikawa迭代格式 不动点
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凸体的P-差体度量
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作者 马梁英 《应用数学与计算数学学报》 2016年第3期369-375,共7页
结合差体度量与L_p-Minkowski组合的定义,引入了凸体的p-差体度量,并通过p-差体度量与p-Hausdorff度量的等价性与一致不等价性的研究,证明了赋予p-差体度量的凸体空间是完备的.
关键词 凸体 p-差体度量 p-Hausdorff度量 完备性
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有关B_r和W_r对称关系问题的解决
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作者 陈鹏 《数学物理学报(A辑)》 CSCD 北大核心 2011年第6期1537-1542,共6页
在该文里,为了解决L上B_r和W_r这两种球的对称关系问题,作者给出了一种度量,且指出了它与Erceg's伪度量的关系.最后证明L-fuzzy实直线R(L)满足这种度量.
关键词 L-fuzzv拓扑 Erceg's伪度量 FUZZY p-度量 L-实直线
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系统L在非均匀概率空间下命题的真度理论
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作者 许格妮 《计算机工程与应用》 CSCD 北大核心 2010年第36期53-55,共3页
将经典二值命题逻辑L中公式的真度概念推广到势为2的非均匀概率空间上;当p?(01)时,证明了全体公式的真度值之集在[0,1]中没有孤立点;利用真度定义公式间的p-相似度和伪距离,进而定义了p-逻辑度量空间,证明了该空间没有孤立点,并在此... 将经典二值命题逻辑L中公式的真度概念推广到势为2的非均匀概率空间上;当p?(01)时,证明了全体公式的真度值之集在[0,1]中没有孤立点;利用真度定义公式间的p-相似度和伪距离,进而定义了p-逻辑度量空间,证明了该空间没有孤立点,并在此空间中提出了三种不同类型的近似推理模式。 展开更多
关键词 测度 p-真度 p-相似度 p-逻辑度量空间 近似推理
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Effect of Cr content on microstructure and properties of aged Cu−Cr−P alloys 被引量:6
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作者 Jian WANG Hong-tao ZHANG +1 位作者 Hua-dong FU Jian-xin XIE 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2021年第1期232-242,共11页
The role of Cr in affecting the precipitates and the properties of aged Cu−Cr−P alloys was investigated and discussed.The results show that there are mainly three sizes of Cr phase in aged Cu−Cr−P alloys,among them,th... The role of Cr in affecting the precipitates and the properties of aged Cu−Cr−P alloys was investigated and discussed.The results show that there are mainly three sizes of Cr phase in aged Cu−Cr−P alloys,among them,the nano-sized Cr phase plays an important role in the strength of Cu−Cr−P alloys.The strengthening effect of Cr phase(less than 5 nm)with FCC structure completely coherent with the matrix is calculated to be about 200 MPa on the basis of dislocation cut-through mechanism.The strengthening effect of Cr phase(10−20 nm)with BCC structure incoherent with the matrix is calculated to be about 100 MPa on the basis of the Orowan dislocation bypass mechanism.The increase of Cr content changes the number and size of nano-sized Cr phase,which causes the mechanical properties of the Cu−Cr−P alloys to increase first and then decrease.The tensile strength of Cu−0.36Cr−0.01P alloy is 572 MPa and its electrical conductivity is 80%IACS after solid solution treatment at 980°C for 2 h followed by 95%cold rolling and then aging treatment at 450°C for 1 h. 展开更多
关键词 Cu−Cr−P alloy Cr content multiscale precipitates
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Impact of global sea surface temperature on the recent early winter Arctic tropospheric warming in coordinated large ensemble simulations
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作者 Lutao Wang Yongqi Gao +3 位作者 Dong Guo Tao Wang Ying Zhang Wei Hua 《Atmospheric and Oceanic Science Letters》 CSCD 2021年第1期57-62,共6页
Coordinated numerical ensemble experiments with six different state-of-the-art atmosphere models were used to evaluate and quantify the impact of global SST(from reanalysis data)on the early winter Arctic warming duri... Coordinated numerical ensemble experiments with six different state-of-the-art atmosphere models were used to evaluate and quantify the impact of global SST(from reanalysis data)on the early winter Arctic warming during 1982-2014.Two sets of experiments were designed:in the first set(EXP1),OISSTv2 daily sea-ice concentration and SST variations were used as the lower boundary forcing,while in the second set(EXP2)the SST data were replaced by the daily SST climatology.In the results,the multi-model ensemble mean of EXP1 showed a nearsurface(~850 hPa)warming trend of 0.4℃/10 yr,which was 80%of the warming trend in the reanalysis.The simulated warming trend was robust across the six models,with a magnitude of 0.36-0.50℃/10 yr.The global SST could explain most of the simulated warming trend in EXP1 in the mid and low troposphere over the Arctic,and accounted for 58%of the simulated near-surface warming.The results also suggest that the uppertropospheric warming(~200 hPa)over the Arctic in the reanalysis is likely not a forced signal;rather,it is caused by natural climate variability.The source regions that can potentially impact the early winter Arctic warming are explored and the limitations of the study are discussed. 展开更多
关键词 Arctic warming Sea surface temperature Multi-model coordinated experiment Eliassen-Palm flux Planetary wave
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命题逻辑系统L_(n)^(*)中理论的p-随机发散度的分布研究
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作者 惠小静 南琼 许倩 《系统科学与数学》 CSCD 北大核心 2023年第9期2310-2318,共9页
在命题逻辑系统L_(n)^(*)中提出了p-随机真度,p-随机相似度,p-随机伪距离的概念,建立了p-随机逻辑度量空间(F(S),ρp).在p-随机逻辑度量空间(F(S),ρp)中提出了理论的p-随机发散度的概念,指出理论的p-随机发散度是和随机n值分布序列p=(p... 在命题逻辑系统L_(n)^(*)中提出了p-随机真度,p-随机相似度,p-随机伪距离的概念,建立了p-随机逻辑度量空间(F(S),ρp).在p-随机逻辑度量空间(F(S),ρp)中提出了理论的p-随机发散度的概念,指出理论的p-随机发散度是和随机n值分布序列p=(p1,p2,…)的具体取值是密切相关的.证明了全体原子公式集S的p-随机发散度随着n值分布序列p的不同取值可以充满(0,1]实数区间. 展开更多
关键词 p-随机真度 p-随机伪距离 p-随机逻辑度量空间 p-随机发散度
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Optimal p-Ary Codes from One-Weight and Two-Weight Codes over IF_p+ vIF_p 被引量:5
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作者 SHI Minjia SOL Patrick 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2015年第3期679-690,共12页
This paper is devoted to determining the structures and properties of one-Lee weight codes and two-Lee weight projective codes Ck1,k2,k3 over p IF+ v IFp with type p2k1pk2pk3. The authors introduce a distance-preservi... This paper is devoted to determining the structures and properties of one-Lee weight codes and two-Lee weight projective codes Ck1,k2,k3 over p IF+ v IFp with type p2k1pk2pk3. The authors introduce a distance-preserving Gray map from( IFp + v IFp)nto2np. By the Gray map, the authors construct a family of optimal one-Hamming weight p-ary linear codes from one-Lee weight codes over IFp+ v IFp, which attain the Plotkin bound and the Griesmer bound. The authors also obtain a class of optimal p-ary linear codes from two-Lee weight projective codes over IFp + vIFp, which meet the Griesmer bound. 展开更多
关键词 Generator matrix Gray map linear code one-Lee weight code two-Lee weight code.
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Annual and interannual variations of the Western Pacific Warm Pool volume and sources of warm water revealed by Argo data 被引量:2
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作者 WU XiaoFen ZHANG QiLong LIU ZengHong 《Science China Earth Sciences》 SCIE EI CAS 2014年第9期2269-2280,共12页
Based on gridded Argo profile data from January 2004 to December 2010, together with the P-vector inverse method, the three-dimensional structure, annual and inter-annual variations in volume of the Western Pacific Wa... Based on gridded Argo profile data from January 2004 to December 2010, together with the P-vector inverse method, the three-dimensional structure, annual and inter-annual variations in volume of the Western Pacific Warm Pool (WPWP) are studied. The variations of latitudinal and longitudinal warm water flowing into and out of the WPWP and the probable mecha- nism of warm water maintenance are also discussed. From the surface to the bottom, climatic WPWP tilts southward and its area decreases. The maximum depth could extend to 120 m, such that its volume could attain 1.86x10^5 m3. Annual variation of the WPWP volume shows two obvious peaks that occur in June and October, whereas its inter-annual variations are related to ENSO events. Based on a climatic perspective, the warm water flowing latitudinally into the pool is about 52 Sv, which is mainly through upper layers and via the eastern boundary. Latitudinally, warm water flowing outward is about 49 Sv, and this is mainly through lower layers and via the western boundary. In contrast, along the latitude, warm water flowing into and out of the pool is about 28 Sv and 23 Sv, respectively. Annual and inter-annual variations of the net transportation of the warm water demonstrate that the WPWP mainly loses warm water in the west-east direction, whereas it receives warm water from the north-south direction. The annual variation of the volume of WPWP is highly related to the annual variation of the net warm water transportation, however, they are not closely related on inter-annual time scale. On the inter-annual time scale, in- fluences of ENSO events on the net warm water transportation in the north-south direction are much more than that in the west-east direction. Although there are some limitations and simplifications when using the P-vector method, it could still help improve our understanding of the WPWP, especially regarding the sources of the warm water. 展开更多
关键词 Western Pacific Warm Pool volume variability latitudinal flow longitudinal flow Argo data p-vector method
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Schwarz lemma at the boundary of the unit polydisk in C^n 被引量:6
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作者 TANG XiaoMin LIU TaiShun LU Jin 《Science China Mathematics》 SCIE CSCD 2015年第8期1639-1652,共14页
We establish a new type of the classical boundary Schwarz lemma for holomorphic self-mappings of the unit polydisk Dnin Cn. By using the Carath′eodory metric and Kobayashi metric of Dn, we obtain some properties of t... We establish a new type of the classical boundary Schwarz lemma for holomorphic self-mappings of the unit polydisk Dnin Cn. By using the Carath′eodory metric and Kobayashi metric of Dn, we obtain some properties of the complex Jacobian matrix Jf(p) at a boundary point p of Dnfor a holomorphic self-mapping f of Dn. Our results extend the classical Schwarz lemma at the boundary to high dimensions. 展开更多
关键词 holomorphic mapping Schwarz lemma at the boundary unit polydisk
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