The adaptive simpler block GMRES method was investigated by Zhong et al.(J Comput Appl Math 282:139-156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this p...The adaptive simpler block GMRES method was investigated by Zhong et al.(J Comput Appl Math 282:139-156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this paper, the new upper bound for the condition number is investigated. Numerical tests show that the new upper bound is tighter.展开更多
Since establishing a business in her rural hometown in 2017,Shi Jia,an ethnic Miao entrepreneur,has been committed to exploring ethnic resources to develop local industries.“Compared with other embroidery styles,the ...Since establishing a business in her rural hometown in 2017,Shi Jia,an ethnic Miao entrepreneur,has been committed to exploring ethnic resources to develop local industries.“Compared with other embroidery styles,the Miao embroidery focuses on vivid expression.At the beginning,it was used to record big events in place of writing,and distinguish tribes by different totems.Its color is brighter,and the design is simpler.There are also many auspicious patterns to pray for good luck,”Shi Jia,a deputy to the National People’s Congress(NPC)and president of a Miao clothing company,told China Today.展开更多
At the Fourth International Conference on Graph Theory and Applications (1980), G. Chartrand posed the following problem: If a graph G contains spanning trees with m and n end-vertices, respecfively, where m<n, doe...At the Fourth International Conference on Graph Theory and Applications (1980), G. Chartrand posed the following problem: If a graph G contains spanning trees with m and n end-vertices, respecfively, where m<n, does G contain a spanning tree with k end-vertices for every integer k where m< k<n? Recently, the problem has been settled by S. Schuster and Cai Maocheng, independently. Here we shall introduce a simpler proof.展开更多
After Nanda et al. had treated the molecular size distribution of the polymers formed in anionic polymerization initiated by an electron transfer, Peebles reported a simpler case of the same reaction system, i.e. inst...After Nanda et al. had treated the molecular size distribution of the polymers formed in anionic polymerization initiated by an electron transfer, Peebles reported a simpler case of the same reaction system, i.e. instantaneous initiation, transfer to monomer, and no termination.The auther of this paper had resolved the set of kinetic differential equations given by Nanda et al., and obtained the exact expres-展开更多
In the latest years,researchers from the industry and academia extensively applied machine learning algorithms in a broad range of domains.The goal of this special issue is to illustrate the most recent applications o...In the latest years,researchers from the industry and academia extensively applied machine learning algorithms in a broad range of domains.The goal of this special issue is to illustrate the most recent applications of deep learning methods in a range of real-life domains and to show the practical utility of these techniques.A particular attention goes towards methods to process network data that is capable of modelling complex artificial and natural systems as the interactions of a multitude of simpler entities.展开更多
基金This work was supported by the National Natural Science Foundation of China(11701320)the Shandong Provincial Natural Science Foundation of China(ZR2016AM04).
文摘The adaptive simpler block GMRES method was investigated by Zhong et al.(J Comput Appl Math 282:139-156, 2015) where the condition number of the adaptively chosen basis for the Krylov subspace was evaluated. In this paper, the new upper bound for the condition number is investigated. Numerical tests show that the new upper bound is tighter.
文摘Since establishing a business in her rural hometown in 2017,Shi Jia,an ethnic Miao entrepreneur,has been committed to exploring ethnic resources to develop local industries.“Compared with other embroidery styles,the Miao embroidery focuses on vivid expression.At the beginning,it was used to record big events in place of writing,and distinguish tribes by different totems.Its color is brighter,and the design is simpler.There are also many auspicious patterns to pray for good luck,”Shi Jia,a deputy to the National People’s Congress(NPC)and president of a Miao clothing company,told China Today.
文摘At the Fourth International Conference on Graph Theory and Applications (1980), G. Chartrand posed the following problem: If a graph G contains spanning trees with m and n end-vertices, respecfively, where m<n, does G contain a spanning tree with k end-vertices for every integer k where m< k<n? Recently, the problem has been settled by S. Schuster and Cai Maocheng, independently. Here we shall introduce a simpler proof.
文摘After Nanda et al. had treated the molecular size distribution of the polymers formed in anionic polymerization initiated by an electron transfer, Peebles reported a simpler case of the same reaction system, i.e. instantaneous initiation, transfer to monomer, and no termination.The auther of this paper had resolved the set of kinetic differential equations given by Nanda et al., and obtained the exact expres-
文摘In the latest years,researchers from the industry and academia extensively applied machine learning algorithms in a broad range of domains.The goal of this special issue is to illustrate the most recent applications of deep learning methods in a range of real-life domains and to show the practical utility of these techniques.A particular attention goes towards methods to process network data that is capable of modelling complex artificial and natural systems as the interactions of a multitude of simpler entities.