How can we approach the truth in a society？ It may depend on various factors. In this paper, using a well-established truth seeking model, the authors show that the persistent free information flow will bring us to t...How can we approach the truth in a society？ It may depend on various factors. In this paper, using a well-established truth seeking model, the authors show that the persistent free information flow will bring us to the truth. Here the free information flow is modeled as the environmental random noise that could alter one＇s cognition. Without the random noise, the model predicts that the truth can only be captured by the truth seekers who own actively perceptive ability of the truth and their believers, while the other individuals may stick to falsehood. But under the influence of the random noise, the authors strictly prove that even there is only one truth seeker in the group, all individuals will finally approach the truth.展开更多
The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional ...The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index.展开更多
The notion of operator-valued free Fisher information was introduced.It is a generalization of free Fisher information which was defined by D.Voiculescu on tracial von Neumann algebras.It is proved that the operator-v...The notion of operator-valued free Fisher information was introduced.It is a generalization of free Fisher information which was defined by D.Voiculescu on tracial von Neumann algebras.It is proved that the operator-valued free Fisher information is closely related to amalgamated freeness,i.e.,the operator-valued free Fisher information of some random variables is additive if and only if these random variables are a free family with amalgamation over a subalgebra.Cramer-Rao inequality in operator-valued settings is also obtained.展开更多
This paper analyzes the development requirements that enterprises call for data storage and backup in the new information era, analyzes and compares the current mainstream network storage and backup technology, and gi...This paper analyzes the development requirements that enterprises call for data storage and backup in the new information era, analyzes and compares the current mainstream network storage and backup technology, and gives a conclusion in accordance with the implementation situation in our enterprise, which is provided with a reference value for the construction of enterprise storage backup systems.展开更多
基金supported by the National Natural Science Foundation of China under Grant No.11371049the Fundamental Research Funds for the Central Universities under Grant No.2016JBM070
文摘How can we approach the truth in a society？ It may depend on various factors. In this paper, using a well-established truth seeking model, the authors show that the persistent free information flow will bring us to the truth. Here the free information flow is modeled as the environmental random noise that could alter one＇s cognition. Without the random noise, the model predicts that the truth can only be captured by the truth seekers who own actively perceptive ability of the truth and their believers, while the other individuals may stick to falsehood. But under the influence of the random noise, the authors strictly prove that even there is only one truth seeker in the group, all individuals will finally approach the truth.
基金Supported by NSFC (10771101)NVAA Research Funding (NS2010197)
文摘The free Fisher information of an operator random matrix is studied. When the covariance of a random matrix is a conditional expectation, the free Fisher information of such a matrix is the double of this conditional expectation’s Watatani index.
文摘The notion of operator-valued free Fisher information was introduced.It is a generalization of free Fisher information which was defined by D.Voiculescu on tracial von Neumann algebras.It is proved that the operator-valued free Fisher information is closely related to amalgamated freeness,i.e.,the operator-valued free Fisher information of some random variables is additive if and only if these random variables are a free family with amalgamation over a subalgebra.Cramer-Rao inequality in operator-valued settings is also obtained.
文摘This paper analyzes the development requirements that enterprises call for data storage and backup in the new information era, analyzes and compares the current mainstream network storage and backup technology, and gives a conclusion in accordance with the implementation situation in our enterprise, which is provided with a reference value for the construction of enterprise storage backup systems.
