This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that...This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras （see [5, 6]）. Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras.展开更多
The network-on-chip (NoC) architecture is a main factor affecting the system performance of complicated multi-processor systems-on-chips (MPSoCs).To evaluate the effects of the NoC architectures on communication effic...The network-on-chip (NoC) architecture is a main factor affecting the system performance of complicated multi-processor systems-on-chips (MPSoCs).To evaluate the effects of the NoC architectures on communication efficiency,several kinds of techniques have been developed,including various simulators and analytical models.The simulators are accurate but time consuming,especially in large space explorations of diverse network configurations;in contrast,the analytical models are fast and flexible,providing alternative methods for performance evaluation.In this paper,we propose a general analytical model to esti-mate the communication performance for arbitrary NoCs with wormhole routing and virtual channel flow control.To resolve the inherent dependency of successive links occupied by one packet in wormhole routing,we propose the routing path decomposition approach to generating a series of ordered link categories.Then we use the traditional queuing system to derive the fine-grained transmission latency for each network component.According to our experiments,the proposed analytical model provides a good approximation of the average packet latency to the simulation results,and estimates the network throughput precisely under various NoC configurations and workloads.Also,the analytical model runs about 10 5 times faster than the cycle-accurate NoC simulator.Practical applications of the model including bottleneck detection and virtual channel allocation are also presented.展开更多
It is a long standing open question in operator theory whether every Riesz operator on a general Banach space has the so-called West decomposition, i. e. whether it splits as the sum of a compact operator and a quasin...It is a long standing open question in operator theory whether every Riesz operator on a general Banach space has the so-called West decomposition, i. e. whether it splits as the sum of a compact operator and a quasinilpotent one. Recently, K.R.展开更多
基金Project supported by the National Natural Science Foundation of China (No.10271076) the Youth Science Foundation of Northeast Normal University (No. 111494027).
文摘This gives some identities of associative Lie superalgebras and some properties of modular Lie superalgebras. Furthermore, the primary decomposition theorem of modular Lie superalgebras is shown. It is well known that the primary decomposition theorem of modular Lie algebras has played an important role in the classification of the finite-dimensional simple modular Lie algebras （see [5, 6]）. Analogously, the primary decomposition theorem of modular Lie superalgebras may play an important role in the open classification of the finite dimensional simple modular Lie superalgebras.
基金supported by the National High-Tech Research and Development Program (863) of China (No.2009AA011706)the Fundamental Research Funds for the Central Universities,China
文摘The network-on-chip (NoC) architecture is a main factor affecting the system performance of complicated multi-processor systems-on-chips (MPSoCs).To evaluate the effects of the NoC architectures on communication efficiency,several kinds of techniques have been developed,including various simulators and analytical models.The simulators are accurate but time consuming,especially in large space explorations of diverse network configurations;in contrast,the analytical models are fast and flexible,providing alternative methods for performance evaluation.In this paper,we propose a general analytical model to esti-mate the communication performance for arbitrary NoCs with wormhole routing and virtual channel flow control.To resolve the inherent dependency of successive links occupied by one packet in wormhole routing,we propose the routing path decomposition approach to generating a series of ordered link categories.Then we use the traditional queuing system to derive the fine-grained transmission latency for each network component.According to our experiments,the proposed analytical model provides a good approximation of the average packet latency to the simulation results,and estimates the network throughput precisely under various NoC configurations and workloads.Also,the analytical model runs about 10 5 times faster than the cycle-accurate NoC simulator.Practical applications of the model including bottleneck detection and virtual channel allocation are also presented.
文摘It is a long standing open question in operator theory whether every Riesz operator on a general Banach space has the so-called West decomposition, i. e. whether it splits as the sum of a compact operator and a quasinilpotent one. Recently, K.R.
