Urban green space has its important social, economic and ecological benefits. Quantifying of those benefits helps healthy development of urban green space. The essay discusses approach of quantifying direct economic b...Urban green space has its important social, economic and ecological benefits. Quantifying of those benefits helps healthy development of urban green space. The essay discusses approach of quantifying direct economic benefits of land utilizing and construction derivated from urban green space system itself through the optimization of space structure and ecological function. It is the affirmation and promotion of the achievements of urban greening industry.展开更多
A signed(res. signed total) Roman dominating function, SRDF(res.STRDF) for short, of a graph G =(V, E) is a function f : V → {-1, 1, 2} satisfying the conditions that(i)∑v∈N[v]f(v) ≥ 1(res.∑v∈N(v)f(v) ≥ 1) for ...A signed(res. signed total) Roman dominating function, SRDF(res.STRDF) for short, of a graph G =(V, E) is a function f : V → {-1, 1, 2} satisfying the conditions that(i)∑v∈N[v]f(v) ≥ 1(res.∑v∈N(v)f(v) ≥ 1) for any v ∈ V, where N [v] is the closed neighborhood and N(v) is the neighborhood of v, and(ii) every vertex v for which f(v) =-1 is adjacent to a vertex u for which f(u) = 2. The weight of a SRDF(res. STRDF) is the sum of its function values over all vertices.The signed(res. signed total) Roman domination number of G is the minimum weight among all signed(res. signed total) Roman dominating functions of G. In this paper,we compute the exact values of the signed(res. signed total) Roman domination numbers of complete bipartite graphs and wheels.展开更多
In the late Ming Dynasty, the society was turbulent, and it was also the important turning stage in the history of the development of China＇s literature. Xu Wei was a painter with a spirit of the reform and innovatio...In the late Ming Dynasty, the society was turbulent, and it was also the important turning stage in the history of the development of China＇s literature. Xu Wei was a painter with a spirit of the reform and innovation in the late Ming Dynasty, and his painting style pioneered the precedent of the Chinese freehand bmshwork. In his creation of the paintings and the painting theories, he gave the innovative development to the theories of the traditional Chinese paintings and the freehand brushwork in this period in our country, and also promoted the further formation of the freehand flower and bird painting styles. Xu Wei＇s t^eehand flowers and birds combined the strengths of each school, and in the painting style, he was bold and unconstrained, and the pen and ink was coherent, and the form and the spirit were assistant and bleeding. The pen and ink all embodied the wonderful skill of the Chinese traditional paintings, and boldly integrated the wild cursive of the calligraphy in the paintings. This approach was the innovation of the techniques of the Chinese traditional paintings and the promotion of the thinking. The author of this article will begin the research on the relevant contents of the artistic achievements and the influences of the freehand flower and bird paintings by Xu Wei.展开更多
A set D of vertices in a graph G = （V, E） is a locating-dominating set （LDS） if for every two vertices u, v of V ／ D the sets N（u） ∩D and N（v） ∩ D are non-empty and different. The locating-domination number...A set D of vertices in a graph G = （V, E） is a locating-dominating set （LDS） if for every two vertices u, v of V ／ D the sets N（u） ∩D and N（v） ∩ D are non-empty and different. The locating-domination number γL（G） is the minimum cardinality of an LDS of G, and the upper-locating domination number FL（G） is the maximum cardinality of a minimal LDS of G. In the present paper, methods for determining the exact values of the upper locating-domination numbers of cycles are provided.展开更多
For a graph G =(V, E) without isolated vertex, a function f : E(G)→ {-1, 1}is said to be a signed star dominating function of G if■ f(e)≥1 for every v∈V(G), where E(v) ={uv∈E(G)|u∈V(G)}.The minimum value of ■f(...For a graph G =(V, E) without isolated vertex, a function f : E(G)→ {-1, 1}is said to be a signed star dominating function of G if■ f(e)≥1 for every v∈V(G), where E(v) ={uv∈E(G)|u∈V(G)}.The minimum value of ■f(e), taken over all signed star dominating functions f of G, is called the signed star domination number of G and is denoted by γss(G). This paper studies the bounds and algorithms of signed star domination numbers in some classes of graphs. In particular, sharp bounds for the signed star domination number of a general graph and a linear-time algorithm for the signed star domination problem in a tree is presented.展开更多
An adaptive fuzzy Q-leaming （AFQL） based on fuzzy inference systems （FIS） is proposed. The FIS realized by a normalized radial basis function （NRBF） neural network is used to approach Q-value function, whose inp...An adaptive fuzzy Q-leaming （AFQL） based on fuzzy inference systems （FIS） is proposed. The FIS realized by a normalized radial basis function （NRBF） neural network is used to approach Q-value function, whose input is composed of state and action. The rules of FIS are created incrementally according to the novelty of each element of the pair of state-action. Moreover the premise part and consequent part of the FIS are updated using extended Kalman filter （EKF）. The action that impacts on environment is the one with maximum output of FIS in the current state and generated through optimization method. Simulation results in the wall-following task of mobile robots and the inverted pendulum balancing problem demonstrate that the superiority and applicability of the proposed AFQL method.展开更多
文摘Urban green space has its important social, economic and ecological benefits. Quantifying of those benefits helps healthy development of urban green space. The essay discusses approach of quantifying direct economic benefits of land utilizing and construction derivated from urban green space system itself through the optimization of space structure and ecological function. It is the affirmation and promotion of the achievements of urban greening industry.
基金The NSF(11271365)of Chinathe NSF(BK20151117)of Jiangsu Province
文摘A signed(res. signed total) Roman dominating function, SRDF(res.STRDF) for short, of a graph G =(V, E) is a function f : V → {-1, 1, 2} satisfying the conditions that(i)∑v∈N[v]f(v) ≥ 1(res.∑v∈N(v)f(v) ≥ 1) for any v ∈ V, where N [v] is the closed neighborhood and N(v) is the neighborhood of v, and(ii) every vertex v for which f(v) =-1 is adjacent to a vertex u for which f(u) = 2. The weight of a SRDF(res. STRDF) is the sum of its function values over all vertices.The signed(res. signed total) Roman domination number of G is the minimum weight among all signed(res. signed total) Roman dominating functions of G. In this paper,we compute the exact values of the signed(res. signed total) Roman domination numbers of complete bipartite graphs and wheels.
文摘In the late Ming Dynasty, the society was turbulent, and it was also the important turning stage in the history of the development of China＇s literature. Xu Wei was a painter with a spirit of the reform and innovation in the late Ming Dynasty, and his painting style pioneered the precedent of the Chinese freehand bmshwork. In his creation of the paintings and the painting theories, he gave the innovative development to the theories of the traditional Chinese paintings and the freehand brushwork in this period in our country, and also promoted the further formation of the freehand flower and bird painting styles. Xu Wei＇s t^eehand flowers and birds combined the strengths of each school, and in the painting style, he was bold and unconstrained, and the pen and ink was coherent, and the form and the spirit were assistant and bleeding. The pen and ink all embodied the wonderful skill of the Chinese traditional paintings, and boldly integrated the wild cursive of the calligraphy in the paintings. This approach was the innovation of the techniques of the Chinese traditional paintings and the promotion of the thinking. The author of this article will begin the research on the relevant contents of the artistic achievements and the influences of the freehand flower and bird paintings by Xu Wei.
基金Supported by the National Natural Science Foundation of China (Grant No.60773078)the Natural Science Foundation of Anhui Provincial Education Department (No.KJ2011B090)
文摘A set D of vertices in a graph G = （V, E） is a locating-dominating set （LDS） if for every two vertices u, v of V ／ D the sets N（u） ∩D and N（v） ∩ D are non-empty and different. The locating-domination number γL（G） is the minimum cardinality of an LDS of G, and the upper-locating domination number FL（G） is the maximum cardinality of a minimal LDS of G. In the present paper, methods for determining the exact values of the upper locating-domination numbers of cycles are provided.
基金Supported by the National Natural Science Foundation of China(No.11571222 and 11771443)the Natural Science Foundation of Jiangsu Province(No.BK20151117)
文摘For a graph G =(V, E) without isolated vertex, a function f : E(G)→ {-1, 1}is said to be a signed star dominating function of G if■ f(e)≥1 for every v∈V(G), where E(v) ={uv∈E(G)|u∈V(G)}.The minimum value of ■f(e), taken over all signed star dominating functions f of G, is called the signed star domination number of G and is denoted by γss(G). This paper studies the bounds and algorithms of signed star domination numbers in some classes of graphs. In particular, sharp bounds for the signed star domination number of a general graph and a linear-time algorithm for the signed star domination problem in a tree is presented.
基金supported by the National Natural Science Foundation of China (60703106)
文摘An adaptive fuzzy Q-leaming （AFQL） based on fuzzy inference systems （FIS） is proposed. The FIS realized by a normalized radial basis function （NRBF） neural network is used to approach Q-value function, whose input is composed of state and action. The rules of FIS are created incrementally according to the novelty of each element of the pair of state-action. Moreover the premise part and consequent part of the FIS are updated using extended Kalman filter （EKF）. The action that impacts on environment is the one with maximum output of FIS in the current state and generated through optimization method. Simulation results in the wall-following task of mobile robots and the inverted pendulum balancing problem demonstrate that the superiority and applicability of the proposed AFQL method.
