This paper investigates the absolute exponential stability of generalized neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main obtained result i...This paper investigates the absolute exponential stability of generalized neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main obtained result is that if the interconnection matrix T of the neural system satisfies that - T is an H matrix with nonnegative diagonal elements, then the neural system is absolutely exponentially stable(AEST). The Hopfield network, Cellular neural network and Bidirectional associative memory network are special cases of the network model considered in this paper. So this work gives some improvements to the previous ones.展开更多
The following problem in an OBA （ordered Banach algebra） has been studied by various authors： If a and b are positiveelements in an OBA such that 0 ≤ α ≤ b and ifb has a certain property, under what conditions d...The following problem in an OBA （ordered Banach algebra） has been studied by various authors： If a and b are positiveelements in an OBA such that 0 ≤ α ≤ b and ifb has a certain property, under what conditions does a inherit that property？ This will be referred to as the domination problem. In this paper we will introduce absolute value ｜.｜ in an OBA and obtain results for the domination problem under the more general inequality ｜α｜ ≤｜b｜. We will show that these results are applicable to positive operators on a Banach lattice. Furthermore, it will be demonstrated that some known results for the domination problem in OBAs continue to hold true if 0 ≤ α≤ b is replaced by ｜a｜≤｜b｜.展开更多
The Almighty created man for contentment, and not for suffering. Creation of the universe was a leap from absolute entropy to substance and the vital world. According to our hypothesis, the goal of creating the univer...The Almighty created man for contentment, and not for suffering. Creation of the universe was a leap from absolute entropy to substance and the vital world. According to our hypothesis, the goal of creating the universe and humans was to create enjoyment and pleasure by depressing the level of entropy. Current definitions do not adequately express the nature and origin of happiness or suffering, nor do they suggest how to treat, relieve, and prevent the torment of a healthy or sick individual. Our team developed and proposed the entropy theory as a new definition for human happiness and suffering. Entropy is a lack of order or a state of chaos. Human happiness may be defined as the complex of positive sensations, perceptions, emotions, or thoughts. These arise due to the depressed level of entropy of the individual＇s organism, empathy for others, or germane surroundings in the past, present, or in the future. Human suffering is the complex of negative sensations, perceptions, emotions, or thoughts that arise due to an increased level of entropy of a person＇s organism, empathy for others, or germane surroundings in the past, present, or future. A source of happiness and pleasure denotes depression of entropy in humans. Therefore, in order to treat suffering, one should ensure that the entropy level is reduced by complementing it with that which is missing.展开更多
In this paper,the continuity and thermodynamic equations including moisture forcings were derived.Using these two equations and the basic momentum equation of local Cartesian coordinates,the budget equation of general...In this paper,the continuity and thermodynamic equations including moisture forcings were derived.Using these two equations and the basic momentum equation of local Cartesian coordinates,the budget equation of generalized moist potential vorticity(GMPV) was derived.The GMPV equation is a good generalization of the Ertel potential vorticity(PV) and moist potential vorticity(MPV) equations.The GMPV equation is conserved under adiabatic,frictionless,barotropic,or saturated atmospheric conditions,and it is closely associated with the horizontal frontogenesis and stability of the real atmosphere.A real case study indicates that term diabatic heating could be a useful diagnostic tool for heavy rainfall events.展开更多
Let SH be a sub-fractional Brownian motion with index 0 〈 H 〈 1/2. In this paper we study the existence of the generalized quadratic eovariation [f（SH）, SH]（W） defined by[f（SH）,SH]t（W）=lim ε↓0 1/ ε2H ∫t...Let SH be a sub-fractional Brownian motion with index 0 〈 H 〈 1/2. In this paper we study the existence of the generalized quadratic eovariation [f（SH）, SH]（W） defined by[f（SH）,SH]t（W）=lim ε↓0 1/ ε2H ∫t 0 {f（SH s＋ε）-f（SH s＋ε）-f（SH s）}（SH s＋ε -SH s）ds2H, provided the limit exists in probability, where x → f（x） is a measurable function. We construct a Banach space X of measurable functions such that the generalized quadratic covariation exists in L2 provided f ∈ X. Moreover, the generalized Bouleau-Yor identity takes the form -∫R f（x） H（dx,t）=（2-2 2H-1）[f（SH ）,SH]t（w） for all f ∈ where H （X, t） is the weighted local time of SH. This allows us to write the generalized ItS＇s formula for absolutely continuous functions with derivative belonging to .展开更多
The spontaneous emission(SE) of Er3+ embedded in a double slot dielectric structure was studied by a quantum-electrodynamical formalism. The study shows that the slot width and the position of Er3+ in slot structure h...The spontaneous emission(SE) of Er3+ embedded in a double slot dielectric structure was studied by a quantum-electrodynamical formalism. The study shows that the slot width and the position of Er3+ in slot structure have a significant effect on the SE. The double slot waveguides were fabricated by embedding two low-index Er/Yb silicate material layers into high-index silicon. The radiative efficiency of Er3+ in the double slot waveguides is found to be higher than that of the single slot waveguide, which is consistent with the theory simulation. The 0.67 d B signal enhancement at 1.53 ?m in a 4.6-mm-long slot waveguide was observed pumped by 1476 nm laser. These results show the relevance of our model to study the SE processes in multilayer structures and are important for future realization of silicon-compatible active optical devices.展开更多
This paper deals with the solution concepts,scalarization and existence of solutions formultiobjective generalized game. The scalarization method used in this paper can characterizecompletely the solutions and be appl...This paper deals with the solution concepts,scalarization and existence of solutions formultiobjective generalized game. The scalarization method used in this paper can characterizecompletely the solutions and be applied to prove the existence of solutions for quasi-convexmultiobjective generalized game. On the other hand,a new concept of security strategy isintroduced and its existence is proved.At last,some relations between these solutions areestablished.展开更多
文摘This paper investigates the absolute exponential stability of generalized neural networks with a general class of partially Lipschitz continuous and monotone increasing activation functions. The main obtained result is that if the interconnection matrix T of the neural system satisfies that - T is an H matrix with nonnegative diagonal elements, then the neural system is absolutely exponentially stable(AEST). The Hopfield network, Cellular neural network and Bidirectional associative memory network are special cases of the network model considered in this paper. So this work gives some improvements to the previous ones.
文摘The following problem in an OBA （ordered Banach algebra） has been studied by various authors： If a and b are positiveelements in an OBA such that 0 ≤ α ≤ b and ifb has a certain property, under what conditions does a inherit that property？ This will be referred to as the domination problem. In this paper we will introduce absolute value ｜.｜ in an OBA and obtain results for the domination problem under the more general inequality ｜α｜ ≤｜b｜. We will show that these results are applicable to positive operators on a Banach lattice. Furthermore, it will be demonstrated that some known results for the domination problem in OBAs continue to hold true if 0 ≤ α≤ b is replaced by ｜a｜≤｜b｜.
文摘The Almighty created man for contentment, and not for suffering. Creation of the universe was a leap from absolute entropy to substance and the vital world. According to our hypothesis, the goal of creating the universe and humans was to create enjoyment and pleasure by depressing the level of entropy. Current definitions do not adequately express the nature and origin of happiness or suffering, nor do they suggest how to treat, relieve, and prevent the torment of a healthy or sick individual. Our team developed and proposed the entropy theory as a new definition for human happiness and suffering. Entropy is a lack of order or a state of chaos. Human happiness may be defined as the complex of positive sensations, perceptions, emotions, or thoughts. These arise due to the depressed level of entropy of the individual＇s organism, empathy for others, or germane surroundings in the past, present, or in the future. Human suffering is the complex of negative sensations, perceptions, emotions, or thoughts that arise due to an increased level of entropy of a person＇s organism, empathy for others, or germane surroundings in the past, present, or future. A source of happiness and pleasure denotes depression of entropy in humans. Therefore, in order to treat suffering, one should ensure that the entropy level is reduced by complementing it with that which is missing.
基金supported by the National Natural Science Foundation of China (Grant No. 41075032)Chinese Special Scientific Research Project for Public Interest (Grant No. GYHY200906004)the National Basic Research Program of China (Grant No. 2010CB951804)
文摘In this paper,the continuity and thermodynamic equations including moisture forcings were derived.Using these two equations and the basic momentum equation of local Cartesian coordinates,the budget equation of generalized moist potential vorticity(GMPV) was derived.The GMPV equation is a good generalization of the Ertel potential vorticity(PV) and moist potential vorticity(MPV) equations.The GMPV equation is conserved under adiabatic,frictionless,barotropic,or saturated atmospheric conditions,and it is closely associated with the horizontal frontogenesis and stability of the real atmosphere.A real case study indicates that term diabatic heating could be a useful diagnostic tool for heavy rainfall events.
基金supported by National Natural Science Foundation of China(Grant No.11171062)Innovation Program of Shanghai Municipal Education Commission(Grant No.12ZZ063)
文摘Let SH be a sub-fractional Brownian motion with index 0 〈 H 〈 1/2. In this paper we study the existence of the generalized quadratic eovariation [f（SH）, SH]（W） defined by[f（SH）,SH]t（W）=lim ε↓0 1/ ε2H ∫t 0 {f（SH s＋ε）-f（SH s＋ε）-f（SH s）}（SH s＋ε -SH s）ds2H, provided the limit exists in probability, where x → f（x） is a measurable function. We construct a Banach space X of measurable functions such that the generalized quadratic covariation exists in L2 provided f ∈ X. Moreover, the generalized Bouleau-Yor identity takes the form -∫R f（x） H（dx,t）=（2-2 2H-1）[f（SH ）,SH]t（w） for all f ∈ where H （X, t） is the weighted local time of SH. This allows us to write the generalized ItS＇s formula for absolutely continuous functions with derivative belonging to .
基金supported by the National Natural Science Foundation of China(Grant Nos.61377056 and 61320106001)the Program for New Century Excellent Talents in University
文摘The spontaneous emission(SE) of Er3+ embedded in a double slot dielectric structure was studied by a quantum-electrodynamical formalism. The study shows that the slot width and the position of Er3+ in slot structure have a significant effect on the SE. The double slot waveguides were fabricated by embedding two low-index Er/Yb silicate material layers into high-index silicon. The radiative efficiency of Er3+ in the double slot waveguides is found to be higher than that of the single slot waveguide, which is consistent with the theory simulation. The 0.67 d B signal enhancement at 1.53 ?m in a 4.6-mm-long slot waveguide was observed pumped by 1476 nm laser. These results show the relevance of our model to study the SE processes in multilayer structures and are important for future realization of silicon-compatible active optical devices.
文摘This paper deals with the solution concepts,scalarization and existence of solutions formultiobjective generalized game. The scalarization method used in this paper can characterizecompletely the solutions and be applied to prove the existence of solutions for quasi-convexmultiobjective generalized game. On the other hand,a new concept of security strategy isintroduced and its existence is proved.At last,some relations between these solutions areestablished.
