The middle segment of the northern margin of the North China Craton （NCC） consists mainly of metamorphosed Archean Dantazi Complex, Paleoproterozoic Hongqiyingzi Complex and unmetamorphosed gabbro-anorthosite-meta-a...The middle segment of the northern margin of the North China Craton （NCC） consists mainly of metamorphosed Archean Dantazi Complex, Paleoproterozoic Hongqiyingzi Complex and unmetamorphosed gabbro-anorthosite-meta-alkaline granite, as well as metamorphosed Late Paleozoic mafic to granitoid rocks in the Damiao-Changshaoying area. The -2.49 Ga Dantazi Complex comprises dioritic-trondhjemitic-granodoritic-monzogranitic gneisses metamorphosed in amphibolite to granulite facies. Petrochemical characteristics reveal that most of the rocks belong to a medium- to high-potassium calc-alkaline series, and display Mg^# less than 40, right-declined REE patterns with no to obviously positive Eu anomalies, evidently negative Th, Nb, Ta and Ti anomalies in primitive mantlenormalized spider diagrams, εNd（t）=＋0.65 to -0.03, and depleted mantle model ages TDM=2.78-2.71 Ga. Study in petrogenesis indicates that the rocks were formed from magmatic mixing between mafic magma from the depleted mantle and granitoid magma from partial melting of recycled crustal mafic rocks in a continental margin setting. The 2.44-2.41 Ga Hongqiyingzi Complex is dominated by metamorphic mafic-granodioritic-monzogranitic gneisses, displaying similar petrochemical features to the Dantazi Complex, namely medium to high potassium calc-alkaline series, and the mafic rocks show evident change in LILEs, negative Th, Nb, Ta, Zr anomalies and positive P anomalies. And the other granitiod samples also exhibit negative Th, Nb, Ta, P and Ti anomalies. All rocks in the Hongqiyingzi Complex show right-declined REE patterns without Eu anomaly. The metamorphic mafic rocks with εNd（t） = -1.64 may not be an identical magmatic evolution series with granitoids that have εNd（t） values of ＋3.19 to ＋1.94 and TDM ages of 2.55-2.52 Ga. These granitic rocks originated from hybrid between mafic magma from the depleted mantle and magma from partial melting of juvenile crustal mafic rocks in an island arc setting. All the -311 Ma Late Paleozoic metamorphic 展开更多
High spin states of the odd-A STSr were populated by the fusion-evaporation reaction ^82Se（^9Be,4n） u. br at a beam energy of 46 MeV. Excited levels of SrSr have been extended up to an excitation energy of 7.4 MeV a...High spin states of the odd-A STSr were populated by the fusion-evaporation reaction ^82Se（^9Be,4n） u. br at a beam energy of 46 MeV. Excited levels of SrSr have been extended up to an excitation energy of 7.4 MeV at spin 31/2h. The coupling of a g9/2 neutron hole to the yrast states of the SSSr core can account for the low-lying states in STSr. The structure of the higher spin states is discussed by analogy with those of the neighboring odd-A N=49 isotones and possible configurations are proposed.展开更多
The characteristics of the lowest mixed-symmetry states 2＋msand 1＋ms for132Xe,134 Ba and136Ce in the even-even N = 78 isotones are investigated within the framework of the IBM2 model. The lowest mixed-symmetry stat...The characteristics of the lowest mixed-symmetry states 2＋msand 1＋ms for132Xe,134 Ba and136Ce in the even-even N = 78 isotones are investigated within the framework of the IBM2 model. The lowest mixed-symmetry state 2＋mslevels for both a single isolated state in132 Xe and136Ce and a fragmented state in134 Ba are reproduced by the predictions. The agreement between the IBM2 calculation and the experimental values is good for the B（E2）and B（M1） transition probabilities both quantitatively and qualitatively. The predicted summed B（M1） strength follows the experimental data, remaining nearly constant as a function of proton number along the chain of the N =78isotones.展开更多
The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extende...The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where various topological concepts have been shown to hold on fuzzy topology. Some notions naturally extend to closure spaces without requiring a lot of modification of the underlying topological ideas. This work investigates the variants of normality on fuzzy isotone spaces.展开更多
In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in R^n and, as a rule, in Banach lattices.
Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A cat...Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A category is an algebraic structure made up of a collection of objects linked together by morphisms. Category theory has been advanced as a more concrete foundation of mathematics as opposed to set-theoretic language. In this paper, we define a pseudo-category on the class of isotonic spaces on which the idempotent axiom of the Kuratowski closure operator is assumed.展开更多
基金This study was financially supported by the National Natural Science Foundation of China （Grant No： 40472096, 40412012035, 40511140503, 40502009 and 40472118）.
文摘The middle segment of the northern margin of the North China Craton （NCC） consists mainly of metamorphosed Archean Dantazi Complex, Paleoproterozoic Hongqiyingzi Complex and unmetamorphosed gabbro-anorthosite-meta-alkaline granite, as well as metamorphosed Late Paleozoic mafic to granitoid rocks in the Damiao-Changshaoying area. The -2.49 Ga Dantazi Complex comprises dioritic-trondhjemitic-granodoritic-monzogranitic gneisses metamorphosed in amphibolite to granulite facies. Petrochemical characteristics reveal that most of the rocks belong to a medium- to high-potassium calc-alkaline series, and display Mg^# less than 40, right-declined REE patterns with no to obviously positive Eu anomalies, evidently negative Th, Nb, Ta and Ti anomalies in primitive mantlenormalized spider diagrams, εNd（t）=＋0.65 to -0.03, and depleted mantle model ages TDM=2.78-2.71 Ga. Study in petrogenesis indicates that the rocks were formed from magmatic mixing between mafic magma from the depleted mantle and granitoid magma from partial melting of recycled crustal mafic rocks in a continental margin setting. The 2.44-2.41 Ga Hongqiyingzi Complex is dominated by metamorphic mafic-granodioritic-monzogranitic gneisses, displaying similar petrochemical features to the Dantazi Complex, namely medium to high potassium calc-alkaline series, and the mafic rocks show evident change in LILEs, negative Th, Nb, Ta, Zr anomalies and positive P anomalies. And the other granitiod samples also exhibit negative Th, Nb, Ta, P and Ti anomalies. All rocks in the Hongqiyingzi Complex show right-declined REE patterns without Eu anomaly. The metamorphic mafic rocks with εNd（t） = -1.64 may not be an identical magmatic evolution series with granitoids that have εNd（t） values of ＋3.19 to ＋1.94 and TDM ages of 2.55-2.52 Ga. These granitic rocks originated from hybrid between mafic magma from the depleted mantle and magma from partial melting of juvenile crustal mafic rocks in an island arc setting. All the -311 Ma Late Paleozoic metamorphic
基金Supported by National Natural Science Foundation of China(10927507,11075214,10675171,11175259 and 11075064)
文摘High spin states of the odd-A STSr were populated by the fusion-evaporation reaction ^82Se（^9Be,4n） u. br at a beam energy of 46 MeV. Excited levels of SrSr have been extended up to an excitation energy of 7.4 MeV at spin 31/2h. The coupling of a g9/2 neutron hole to the yrast states of the SSSr core can account for the low-lying states in STSr. The structure of the higher spin states is discussed by analogy with those of the neighboring odd-A N=49 isotones and possible configurations are proposed.
基金Supported by National Natural Science Foundation of China(11475062)Natural Science Foundation of Zhejiang Province,China(KY6100135)
文摘The characteristics of the lowest mixed-symmetry states 2＋msand 1＋ms for132Xe,134 Ba and136Ce in the even-even N = 78 isotones are investigated within the framework of the IBM2 model. The lowest mixed-symmetry state 2＋mslevels for both a single isolated state in132 Xe and136Ce and a fragmented state in134 Ba are reproduced by the predictions. The agreement between the IBM2 calculation and the experimental values is good for the B（E2）and B（M1） transition probabilities both quantitatively and qualitatively. The predicted summed B（M1） strength follows the experimental data, remaining nearly constant as a function of proton number along the chain of the N =78isotones.
文摘The study of fuzzy sets is specifically designed to mathematically represent uncertainty and vagueness by assigning values of membership to objects that belong to a particular set. This notion has been broadly extended to other areas of topology where various topological concepts have been shown to hold on fuzzy topology. Some notions naturally extend to closure spaces without requiring a lot of modification of the underlying topological ideas. This work investigates the variants of normality on fuzzy isotone spaces.
文摘In this short note we examine the connection between weakly isotone maps and common solutions for first order Cauchy problems in R^n and, as a rule, in Banach lattices.
文摘Recent developments in mathematics have in a sense organized objects of study into categories, where properties of mathematical systems can be unified and simplified through presentation of diagrams with arrows. A category is an algebraic structure made up of a collection of objects linked together by morphisms. Category theory has been advanced as a more concrete foundation of mathematics as opposed to set-theoretic language. In this paper, we define a pseudo-category on the class of isotonic spaces on which the idempotent axiom of the Kuratowski closure operator is assumed.
