The atom-bond sum-connectivity(ABS)index,put forward by[J.Math.Chem.,2022,60(10):20812093],exhibits a strong link with the acentric factor of octane isomers.The experimental physico-chemical properties of octane isome...The atom-bond sum-connectivity(ABS)index,put forward by[J.Math.Chem.,2022,60(10):20812093],exhibits a strong link with the acentric factor of octane isomers.The experimental physico-chemical properties of octane isomers,such as boiling point,of formation are found to be better measured by the ABS index than by the Randi,atom-bond connectivity(ABC),and sum-connectivity(SC)indices.One important source of information for researching the molecular structure is the bounds for its topological indices.The extrema of the ABS index of the line,total,and Mycielski graphs are calculated in this work.Moreover,the pertinent extremal graphs were illustrated.展开更多
In view of the phenomenon that the adhesion strength between the surface of polyacrylonitrile-butadiene-styrene-polycarbonate(ABS-PC)copolymer and the electroless copper plating layer is relatively low.To solve the pr...In view of the phenomenon that the adhesion strength between the surface of polyacrylonitrile-butadiene-styrene-polycarbonate(ABS-PC)copolymer and the electroless copper plating layer is relatively low.To solve the problems of poor surface wettability and low surface roughness of the ABS-PC substrate,the N,N-dimethylformamide(DMF)-ethanol(C_(2)H_(5)OH)-water(H_(2)O)system was employed as the swelling system for the ABS-PC substrate.The effects of the DMF volume fraction in the swelling system and the swelling time on the swelling effect of ABS-PC at 35℃ were investigated.KMnO_(4)-H_(2)SO_(4)-H_(2)O system was used as the etching system for ABS-PC substrate under the conditions of the volume ratio of water to sulfuric acid of 1﹕2,with KMnO_(4) content of 30 g/L,etching temperature of 60℃,and etching time of 25 min.The results indicate that dense pores with uniform sized are formed on the surface of the ABS-PC substrate surface after swelling and etching treatments,accompanied by an increase in surface roughness when the swelling temperature is 35℃,the DMF volume fraction in the swelling system is 80%,and the swelling time is 5 min.Furthermore,the content of C element on the surface of the ABS-PC substrate decreased,while that of O element increased,and the surface hydrophilicity is enhanced,which is attributed to two hydrophilic groups,-C=O and-COOH,being generated on the ABS-PC substrate surface,significantly improving the wettability of the ABS-PC substrate surface.Under the combination effects of high surface roughness and strong surface hydrophilicity,the adhesion strength between the ABS-PC substrate surface and the electroless copper plating layer reached to 0.81 kN/m,meeting the adhesion strength requirement of 0.70 kN/m in the industrial production.展开更多
In this paper,we introduce the notion of G_(C)-X-injective modules,where X denotes a class of left S-modules and C represents a faithfully semidualizing bimodule.Under the condition that X satisfies certain hypotheses...In this paper,we introduce the notion of G_(C)-X-injective modules,where X denotes a class of left S-modules and C represents a faithfully semidualizing bimodule.Under the condition that X satisfies certain hypotheses,some properties and some equivalent characterizations of G_(C)-X-injective modules are investigated,and we also show that the triple(■,cores■,■)is a weak co-AB-context.As an application,two complete cotorsion pairs and a new model structure in Mod S are given.展开更多
基金Supported by Ningbo NSF(No.2021J234)Zhejiang Provincial Philosophy and Social Sciences Planning Project(No.24NDJC057YB)。
文摘The atom-bond sum-connectivity(ABS)index,put forward by[J.Math.Chem.,2022,60(10):20812093],exhibits a strong link with the acentric factor of octane isomers.The experimental physico-chemical properties of octane isomers,such as boiling point,of formation are found to be better measured by the ABS index than by the Randi,atom-bond connectivity(ABC),and sum-connectivity(SC)indices.One important source of information for researching the molecular structure is the bounds for its topological indices.The extrema of the ABS index of the line,total,and Mycielski graphs are calculated in this work.Moreover,the pertinent extremal graphs were illustrated.
文摘In view of the phenomenon that the adhesion strength between the surface of polyacrylonitrile-butadiene-styrene-polycarbonate(ABS-PC)copolymer and the electroless copper plating layer is relatively low.To solve the problems of poor surface wettability and low surface roughness of the ABS-PC substrate,the N,N-dimethylformamide(DMF)-ethanol(C_(2)H_(5)OH)-water(H_(2)O)system was employed as the swelling system for the ABS-PC substrate.The effects of the DMF volume fraction in the swelling system and the swelling time on the swelling effect of ABS-PC at 35℃ were investigated.KMnO_(4)-H_(2)SO_(4)-H_(2)O system was used as the etching system for ABS-PC substrate under the conditions of the volume ratio of water to sulfuric acid of 1﹕2,with KMnO_(4) content of 30 g/L,etching temperature of 60℃,and etching time of 25 min.The results indicate that dense pores with uniform sized are formed on the surface of the ABS-PC substrate surface after swelling and etching treatments,accompanied by an increase in surface roughness when the swelling temperature is 35℃,the DMF volume fraction in the swelling system is 80%,and the swelling time is 5 min.Furthermore,the content of C element on the surface of the ABS-PC substrate decreased,while that of O element increased,and the surface hydrophilicity is enhanced,which is attributed to two hydrophilic groups,-C=O and-COOH,being generated on the ABS-PC substrate surface,significantly improving the wettability of the ABS-PC substrate surface.Under the combination effects of high surface roughness and strong surface hydrophilicity,the adhesion strength between the ABS-PC substrate surface and the electroless copper plating layer reached to 0.81 kN/m,meeting the adhesion strength requirement of 0.70 kN/m in the industrial production.
文摘In this paper,we introduce the notion of G_(C)-X-injective modules,where X denotes a class of left S-modules and C represents a faithfully semidualizing bimodule.Under the condition that X satisfies certain hypotheses,some properties and some equivalent characterizations of G_(C)-X-injective modules are investigated,and we also show that the triple(■,cores■,■)is a weak co-AB-context.As an application,two complete cotorsion pairs and a new model structure in Mod S are given.
