The rooting law of modem Chinese rose variety -Betty prior at different conditions was studied dwhg 1995-96. The suhable temperaure for initiating healing organization which is a prempuisite for rooting was aboot 21...The rooting law of modem Chinese rose variety -Betty prior at different conditions was studied dwhg 1995-96. The suhable temperaure for initiating healing organization which is a prempuisite for rooting was aboot 21℃. The experimedl result showed the percent root was not di odly related to healing organtheion, bul related to the cnding' diamde. The coding diamoter should be 4-5 mm in order to keep a higher rooting tate in water cnding Percat root of water cutting haddired relations with temperature . The most suitable temperatur for Chinese rose rooting was in rangeof 20 ~ 25℃.展开更多
Introducing the development background and essential aspects of Betty Newman's system model,and exploring the application status of the theory all over the worldwide.This review points out that combining the theor...Introducing the development background and essential aspects of Betty Newman's system model,and exploring the application status of the theory all over the worldwide.This review points out that combining the theoretical model with nursing practice can effectively improve patients'disease self-management ability and improve the quality of life.At the same time,the theory has certain similarities with traditional Chinese medicine nursing,and can provide reference for the development of Chinese medicine nursing theory.展开更多
We show that the torsion module Tor_(j)^(R)(R/a,H_(a)^(i)(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism Tor_(s-t)^(R)(R/a,X)≅Tor_(s)^(R)(R/a,H_(a)^(t)(X))in some c...We show that the torsion module Tor_(j)^(R)(R/a,H_(a)^(i)(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism Tor_(s-t)^(R)(R/a,X)≅Tor_(s)^(R)(R/a,H_(a)^(t)(X))in some case.As an application,the Betti number of a complex X in a prime ideal p can be computed by the Betti number of the local cohomology modules of X in p.展开更多
Microstructure topology evolution during severe plastic deformation(SPD)is crucial for understanding and optimising the mechanical properties of metallic materials,though its prediction remains challenging.Herein,we c...Microstructure topology evolution during severe plastic deformation(SPD)is crucial for understanding and optimising the mechanical properties of metallic materials,though its prediction remains challenging.Herein,we combine discrete cell complexes(DCC),a fully discrete algebraic topology model-with finite element analysis(FEA)to simulate and analyse the microstructure topology of pure copper under SPD.Using DCC,we model the evolution of microstructure topology characterised by Betti numbers(β_(0),β_(1),β_(2))and Euler characteristic(χ).This captures key changes in GBNs and topological features within representative volume elements(RVEs)containing several hundred grains during SPD-induced recrystallisation.As SPD cycles increase,high-angle grain boundaries(HAGBs)progressively form.Topological analysis reveals an overall decrease in β_(0)values,indicating fewer isolated HAGB substructures,while β_(2) values show a steady upward trend,highlighting new grain formation.Leveraging DCC-derived RVE topology and FEA-generated plastic strain data,we directly simulate the evolution and spatial distribution of microstructure topology and HAGB fraction in a copper tube undergoing cyclic parallel tube channel angular pressing(PTCAP),a representative SPD technique.Within the tube,the HAGB fraction continuously increases with PTCAP cycles,reflecting the microstructure’s gradual transition from subgrains to fully-formed grains.Analysis of Betti number distribution and evolution reveals the microstructural reconstruction mechanism underpinning this subgrain to grain transition during PTCAP.We further demonstrate the significant influence of spatially non-uniform plastic strain distribution on microstructure reconstruction kinetics.This study demonstrates a feasible approach for simulating microstructure topology evolution of metals processed by cyclic SPD via the integration of DCC and FEA.展开更多
考察了平面近三角剖分图的最大亏格与独立边集之间的关系．设G*是平面近三角剖分图G的一个平面嵌入的几何对偶,如果G*有[1/2φ]个独立边集,那么图G的最大亏格γM(G)≥[1/2β(G)]-11,这里φ和β(G)分别表示图G在平面上嵌入的面数与G的Be...考察了平面近三角剖分图的最大亏格与独立边集之间的关系．设G*是平面近三角剖分图G的一个平面嵌入的几何对偶,如果G*有[1/2φ]个独立边集,那么图G的最大亏格γM(G)≥[1/2β(G)]-11,这里φ和β(G)分别表示图G在平面上嵌入的面数与G的Betti数．特别地,如果φ=0 mod 2,即G有1-因子,则G是上可嵌入的．作为应用．证明了几个已知的结果．展开更多
文摘The rooting law of modem Chinese rose variety -Betty prior at different conditions was studied dwhg 1995-96. The suhable temperaure for initiating healing organization which is a prempuisite for rooting was aboot 21℃. The experimedl result showed the percent root was not di odly related to healing organtheion, bul related to the cnding' diamde. The coding diamoter should be 4-5 mm in order to keep a higher rooting tate in water cnding Percat root of water cutting haddired relations with temperature . The most suitable temperatur for Chinese rose rooting was in rangeof 20 ~ 25℃.
文摘Introducing the development background and essential aspects of Betty Newman's system model,and exploring the application status of the theory all over the worldwide.This review points out that combining the theoretical model with nursing practice can effectively improve patients'disease self-management ability and improve the quality of life.At the same time,the theory has certain similarities with traditional Chinese medicine nursing,and can provide reference for the development of Chinese medicine nursing theory.
基金Natural Science Foundation of Gansu Province(23JRRA866)Higher Education Innovation Fund of Gansu Provincial Department of Education(2025A-132)+1 种基金University-level Scientific Research and Innovation Project of Gansu University of Political Science and Law(GZF2024XQN16)Youth Foundation of Lanzhou Jiaotong University(2023023)。
文摘We show that the torsion module Tor_(j)^(R)(R/a,H_(a)^(i)(X))is in a Serre subcategory for the bounded below R-complex X.In addition,we prove the isomorphism Tor_(s-t)^(R)(R/a,X)≅Tor_(s)^(R)(R/a,H_(a)^(t)(X))in some case.As an application,the Betti number of a complex X in a prime ideal p can be computed by the Betti number of the local cohomology modules of X in p.
基金support from Outstanding Youth Fund of Jiangsu Province(BK20240077)Key Project(Provincial-Municipal Joint)of Jiangsu Province(BK20243044)+2 种基金Fundamental Research Funds for the Central Universities(NE2024001)National Youth Talents Programof Chinaa project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.
文摘Microstructure topology evolution during severe plastic deformation(SPD)is crucial for understanding and optimising the mechanical properties of metallic materials,though its prediction remains challenging.Herein,we combine discrete cell complexes(DCC),a fully discrete algebraic topology model-with finite element analysis(FEA)to simulate and analyse the microstructure topology of pure copper under SPD.Using DCC,we model the evolution of microstructure topology characterised by Betti numbers(β_(0),β_(1),β_(2))and Euler characteristic(χ).This captures key changes in GBNs and topological features within representative volume elements(RVEs)containing several hundred grains during SPD-induced recrystallisation.As SPD cycles increase,high-angle grain boundaries(HAGBs)progressively form.Topological analysis reveals an overall decrease in β_(0)values,indicating fewer isolated HAGB substructures,while β_(2) values show a steady upward trend,highlighting new grain formation.Leveraging DCC-derived RVE topology and FEA-generated plastic strain data,we directly simulate the evolution and spatial distribution of microstructure topology and HAGB fraction in a copper tube undergoing cyclic parallel tube channel angular pressing(PTCAP),a representative SPD technique.Within the tube,the HAGB fraction continuously increases with PTCAP cycles,reflecting the microstructure’s gradual transition from subgrains to fully-formed grains.Analysis of Betti number distribution and evolution reveals the microstructural reconstruction mechanism underpinning this subgrain to grain transition during PTCAP.We further demonstrate the significant influence of spatially non-uniform plastic strain distribution on microstructure reconstruction kinetics.This study demonstrates a feasible approach for simulating microstructure topology evolution of metals processed by cyclic SPD via the integration of DCC and FEA.
文摘考察了平面近三角剖分图的最大亏格与独立边集之间的关系．设G*是平面近三角剖分图G的一个平面嵌入的几何对偶,如果G*有[1/2φ]个独立边集,那么图G的最大亏格γM(G)≥[1/2β(G)]-11,这里φ和β(G)分别表示图G在平面上嵌入的面数与G的Betti数．特别地,如果φ=0 mod 2,即G有1-因子,则G是上可嵌入的．作为应用．证明了几个已知的结果．
