If n given control, points b_0,…b_(n-1)∈R^d are repeated periodically by b_(i+kn)=b_i, for all k∈Z. the uform limit of the Bernstein-Bezier polynomial curves of degree r with control points b_0,….b_ for r→∞ is a...If n given control, points b_0,…b_(n-1)∈R^d are repeated periodically by b_(i+kn)=b_i, for all k∈Z. the uform limit of the Bernstein-Bezier polynomial curves of degree r with control points b_0,….b_ for r→∞ is a Poisson curve(after a suitable reparametrization). This fact reveals some interesting self-simi- lar structures in case of regular n-gons in the plane.展开更多
Guest Editor Prof.Dr.Stephanie Teufel University of Fribourg stephanie.teufel@unifr.ch From energy generation to transportation,from energy distribution to storage,from semiconductor processing to communications,and f...Guest Editor Prof.Dr.Stephanie Teufel University of Fribourg stephanie.teufel@unifr.ch From energy generation to transportation,from energy distribution to storage,from semiconductor processing to communications,and from portable devices to data centers,energy consumption has grown to be a major limitation to usability and performance. So energy efficiency and renewables get active research areas and energy turnaround is destined, moti- vated by energy necessity and environmental concerns. The energy turnaround will be achieved by applying highly efficient technologies （including information and communication technology）, focusing on renewables, employing and accepting demand side management thus yielding decentralization. This ends in a change of the role of today＇s energy consumers, they become energy prosumers who have to make strategic decisions on their energy balance, and organize themselves in like-minded neighborhoods. This sets up the framework of the Crowd Energy Concept. For a successful and sustainable implementation of the energy turnaround, it is essential to analyze and discuss not only in technical dimensions but also from sociological, economic, and political aspects.展开更多
In this paper, we discuss the reaction model of tri-molecules and the existence of periodic reaction under certain original density conditions of two objects without diffusion phenomena. We prove that the periodic rea...In this paper, we discuss the reaction model of tri-molecules and the existence of periodic reaction under certain original density conditions of two objects without diffusion phenomena. We prove that the periodic reaction exhibit some chemical phenomena that violate the second law of thermo-mechanics. Finally, we research similar properties and phenomena concerning BelousovZhabotinsky reaction model.展开更多
Using the averaging theory of first and second order we study the maximum number of limit cycles of generalized Linard differential systems{x = y ＋ εhl1（x） ＋ ε2hl2（x）,y=-x- ε（fn1（x）y（2p＋1） ＋ gm1（x））...Using the averaging theory of first and second order we study the maximum number of limit cycles of generalized Linard differential systems{x = y ＋ εhl1（x） ＋ ε2hl2（x）,y=-x- ε（fn1（x）y（2p＋1） ＋ gm1（x）） ＋ ∈2（fn2（x）y（2p＋1） ＋ gm2（x））,which bifurcate from the periodic orbits of the linear center x = y,y=-x,where ε is a small parameter.The polynomials hl1 and hl2 have degree l;fn1and fn2 have degree n;and gm1,gm2 have degree m.p ∈ N and[·]denotes the integer part function.展开更多
文摘If n given control, points b_0,…b_(n-1)∈R^d are repeated periodically by b_(i+kn)=b_i, for all k∈Z. the uform limit of the Bernstein-Bezier polynomial curves of degree r with control points b_0,….b_ for r→∞ is a Poisson curve(after a suitable reparametrization). This fact reveals some interesting self-simi- lar structures in case of regular n-gons in the plane.
文摘Guest Editor Prof.Dr.Stephanie Teufel University of Fribourg stephanie.teufel@unifr.ch From energy generation to transportation,from energy distribution to storage,from semiconductor processing to communications,and from portable devices to data centers,energy consumption has grown to be a major limitation to usability and performance. So energy efficiency and renewables get active research areas and energy turnaround is destined, moti- vated by energy necessity and environmental concerns. The energy turnaround will be achieved by applying highly efficient technologies （including information and communication technology）, focusing on renewables, employing and accepting demand side management thus yielding decentralization. This ends in a change of the role of today＇s energy consumers, they become energy prosumers who have to make strategic decisions on their energy balance, and organize themselves in like-minded neighborhoods. This sets up the framework of the Crowd Energy Concept. For a successful and sustainable implementation of the energy turnaround, it is essential to analyze and discuss not only in technical dimensions but also from sociological, economic, and political aspects.
文摘In this paper, we discuss the reaction model of tri-molecules and the existence of periodic reaction under certain original density conditions of two objects without diffusion phenomena. We prove that the periodic reaction exhibit some chemical phenomena that violate the second law of thermo-mechanics. Finally, we research similar properties and phenomena concerning BelousovZhabotinsky reaction model.
文摘Using the averaging theory of first and second order we study the maximum number of limit cycles of generalized Linard differential systems{x = y ＋ εhl1（x） ＋ ε2hl2（x）,y=-x- ε（fn1（x）y（2p＋1） ＋ gm1（x）） ＋ ∈2（fn2（x）y（2p＋1） ＋ gm2（x））,which bifurcate from the periodic orbits of the linear center x = y,y=-x,where ε is a small parameter.The polynomials hl1 and hl2 have degree l;fn1and fn2 have degree n;and gm1,gm2 have degree m.p ∈ N and[·]denotes the integer part function.
