This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept ...This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept of the degree of a polynomial system does not coincide with the usual one. The usual degenerate polynomial system of degree n+1 should be regarded as a system of degree n . Note that the definition is independent coordinate system. And, by this definition, some geometric properties concerning polynomial vector fields turn out to be evident.展开更多
This paper considers the estimation problem of a variance change-point in linear process.Consistency of a SCUSUM type change-point estimator is proved and its rate of convergence is established.The mean-unknown case i...This paper considers the estimation problem of a variance change-point in linear process.Consistency of a SCUSUM type change-point estimator is proved and its rate of convergence is established.The mean-unknown case is also considered.展开更多
From the view of practical application, this paper designs an infrared information collection nodes, the coordinator node, wireless transmission system using CC2430 microcontroller, and in detail design the infrared s...From the view of practical application, this paper designs an infrared information collection nodes, the coordinator node, wireless transmission system using CC2430 microcontroller, and in detail design the infrared sensor （temperature, heart rate, ECG / pulse） circuit diagram. This paper set up a wireless network （ZigBee protocol）, sensor signal acquisition, wireless transmitting and receiving, serial communication software design of coordinator node and PC machine. Finally, we on-line debug each module of the system hardware and software. Experiments show that the network node data transmission accurate, reliable work, has basically met the design requirements.展开更多
A subset of the vertex set of a graph is a feedback vertex set of the graph ifthe resulting graph is a forest after removing the vertex subset from the graph.In thispaper, we study the minimum-weight feedback vertex s...A subset of the vertex set of a graph is a feedback vertex set of the graph ifthe resulting graph is a forest after removing the vertex subset from the graph.In thispaper, we study the minimum-weight feedback vertex set problem in outerplanar graphs and present a linear time algorithm to solve it.展开更多
A 2-dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)\D has at least two neighbors in D.A total outer-independent dominating set of a graph G is a set D of vertices of G such that ...A 2-dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)\D has at least two neighbors in D.A total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D,and the set V(G)\D is independent.The 2-domination(total outer-independent domination,respectively)number of a graph G is the minimum cardinality of a 2-dominating(total outer-independent dominating,respectively)set of G.We investigate the ratio between2-domination and total outer-independent domination numbers of trees.展开更多
文摘This note shows that when studying geometric pro perties, a polynomial system is defined as a line field on a projective space such that its singular set has co dimension at least 2. By this definition, the concept of the degree of a polynomial system does not coincide with the usual one. The usual degenerate polynomial system of degree n+1 should be regarded as a system of degree n . Note that the definition is independent coordinate system. And, by this definition, some geometric properties concerning polynomial vector fields turn out to be evident.
基金Supported by Foundation of Education Department of Shaanxi Provincial Government（2010JK561） Supported by Basic Research Foundation of Xi’an Polytechnic University（2010JC07）+1 种基金 Supported by the Special Funds of the National Natural Science Foundation of China（11026135） Supported by Chinese Ministry of Education Funds for Young Scientists（10YJC910007）
文摘This paper considers the estimation problem of a variance change-point in linear process.Consistency of a SCUSUM type change-point estimator is proved and its rate of convergence is established.The mean-unknown case is also considered.
文摘From the view of practical application, this paper designs an infrared information collection nodes, the coordinator node, wireless transmission system using CC2430 microcontroller, and in detail design the infrared sensor （temperature, heart rate, ECG / pulse） circuit diagram. This paper set up a wireless network （ZigBee protocol）, sensor signal acquisition, wireless transmitting and receiving, serial communication software design of coordinator node and PC machine. Finally, we on-line debug each module of the system hardware and software. Experiments show that the network node data transmission accurate, reliable work, has basically met the design requirements.
文摘A subset of the vertex set of a graph is a feedback vertex set of the graph ifthe resulting graph is a forest after removing the vertex subset from the graph.In thispaper, we study the minimum-weight feedback vertex set problem in outerplanar graphs and present a linear time algorithm to solve it.
基金the Polish Ministry of Science and Higher Education grand IP/2012/038972
文摘A 2-dominating set of a graph G is a set D of vertices of G such that every vertex of V(G)\D has at least two neighbors in D.A total outer-independent dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D,and the set V(G)\D is independent.The 2-domination(total outer-independent domination,respectively)number of a graph G is the minimum cardinality of a 2-dominating(total outer-independent dominating,respectively)set of G.We investigate the ratio between2-domination and total outer-independent domination numbers of trees.
