Number of Negative Entries in A2≤0

Let A be a real matrix or a sign pattern of order n. N_ (A) denotes the number of negative entries in A. In 1972 R DeMarr and A Steger conjectured: If A is a real matrix of order n such that A^2≤0, then N- (A^2)≤( n - 1)^2 1. Now the conjecture is proved to be true when A is reducible or a matrix of order n≤3 and some sufficient conditions for N- (A^2)≤(n - 1)^2 1 are given. It is also proved that N_ (A^2)≤n^2 -4n 5 when A is a reducible combinatorially symmetric sign pattern such that A^2≤0, and the extreme sign patterns are characterized.     

Sign Patterns That Allow the Given Matrix

Let P be a property referring to a real matrix. For a sign pattern A, if there exists a real matrix B in the qualitative class of A such that B has property P, then we say A allows P. Three cases that A allows an M-matrix, an inverse M-matrix and a P0-matrix are considered. The complete characterizations are obtained.     

On the ｛P2,P3｝-Factor of Cubic Graphs

Ler G = （ V, E） be a finite simple graph and Pn denote the path of order n. A spanning subgraph F is called a { P2, P3 }-factor of G if each component of F is isomorphic to P2 or P3. With the path-covering method, it is proved that any connected cubic graph with at least 5 vertices has a { P2, P3 }-factor F such that｜P3（F）｜P2（F）｜, where P2（F） and P3（F） denote the set of components of P2 and P3 in F, respectively.     

Fuzzy数矩阵与Fuzzy数向量集(英文)

In this paper, we introduce the definition of a fuzzy number matrix which is a generalization of classical matrix, and then discuss some of its properties. Definition 1.A fuzzy set on a real number field R is said to be a Fuzzy number if it satisfies μ_(?)(0)=1. A Fuzzy number is said to be a Fuzzy singletion number if and only if we consider the following list which consists of Fuzzy numbers (?)_(ij) to be a Fuzzy number matrix. is a Fuzzy set on U_(m×n), the ccllection of all m×n matrixs, and its mem-     

Josephson第一方程推导

1 Introduction In 1962, Josephson studied the physical phenomenon of two superconductors seperated by a thin layer of potential hill. He predicted from the point of theory that when Volt of two sides of junction is zero, there may be a superconducting current. He also thought that the critical current has a maximum J_c and regarded it due to the tunnel current of Cooper's pairs. A half year later,Anderson and Rowell proved by means of experiments that superconducting current exists in the superconducting-tunnel junction when v =0. During 1964-1965, Josephson proved again from the point of theory that the tunnel current is a sinusoidal function of     

The Calculations of 3-Dimensional Ising Model of Finite Width

In order to calculate 3-dimensional Ising model,we develop a method to build a much smaller transfer matrix containing the largest eigenvalue from the original 2~(N_1N_2) × 2~(N_1N_2) matrix V_1. Firstly,the transfer matrix V_1 is written as the linear combination of several basic vectors. Secondly,we divide the basic vectors into several subgroups. The multiplication of a basic vector and V_1 can be written as the linear combination of basic vectors from the same subgroup. Finally,we use a new transfer matrix V_2 to describe the relationship between basic vectors of the same subgroup.V_2 is much smaller than the original transfer matrix and contains the largest eigenvalue of V_1.We use this method to calculate the specific heat per atom Cpaand the magnetic momentum per atom Mpa. The results show that there exists a pair of temperature and magnetic field intensity where the specific heat gets to its maximum value. When N_1N_2 increases,the maximum value of specific heat becomes larger.     

Variable universe stable adaptive fuzzy control of nonlinear system

A kind of stable adaptive fuzzy control of nonlinear system is implemented using variable universe method. First of all, the basic structure of variable universe adaptive fuzzy controllers is briefly introduced. Then the contraction-expansion factor that is a key tool of variable universe method is defined by means of integral regulation idea, and a kind of adaptive fuzzy controllers is designed by using such a contraction-expansion factor. The simulation on first order nonlinear system is done. Secondly, it is proved that the variable universe adaptive fuzzy control is asymptotically stable by use of Lyapunov theory. The simulation on the second order nonlinear system shows that its simulation effect is also quite good. Finally a useful tool, called symbolic factor, is proposed, which may be of universal significance. It can greatly reduce the settling time and enhance the robustness of the system.     

Theoretical study on thermal radiative properties of semitransparent porous media

Thermal radiative properties are significant to radiative transfer processes in semitransparent media.In order to calculate thermal radiative properties,conventional Mie formulism and its various abbreviations are generally used,which are based upon electromagnetic scattering by a sphere submerged in a non absorbing medium.For some semitransparent porous media such as ceramics where the matrix is absorbing,the conventional Mie solution is no longer valid.In this study a rigid Mie solution of electromagnetic scattering by a sphere in an absorbing medium is introduced to analyze the radiative properties of such a medium,and reliability of conventional Mie formulism is also tested.Parametric studies show that scattering coefficient and phase function of porous media are influenced significantly by matrix refractive index and size parameter.The matrix absorbing index usually has little influence.But when the absorbing index is greater than 0.01,especially under the condition where the size parameter is greater than 30,the conventional Mie formulism is not appropriate.Such a porous media may exhibit scattering or absorbing dominated characters under different conditions and an optimal pore diameter exists for a specified wavelength,which decreases with the matrix refractive index.     

LASER SPECTRAL ANALYSIS OF STRAIN MEASUREM ENT

Modern optical theory has shown that the far field or Fraunhofer diffraction equipment is identical to the Fourier spectral analyzer. In the Fourier spectral analyzer the Fourier spectra or the Fraunhofer diffraction pattern of a graph is formed on the back foeal plane when a laser beam is directed on the graph lying on the front focal plane； the Fourier spectra of the graph is also subjected to change during the deformation of the graph. Through analyzing the change of Fourier spectra the deformation of the graph can be obtained. A few years ago, based on the above principles the authors proposed a new technique of strain measurement by laser spectral analysis. Demonstration and discussion will be made in detail in this paper.     

Effect of direction error on the miss distance of rolling missiles with x-rudder

Based on the analysis of periodic equivalent control force of rolling missiles with x-rudder, the guidance loop model with direction error is established and the relationship between direction error and miss distance is analyzed. Results show that the miss distance is zero or a constant or infinite, and it is always zero when the real parts of system matrix eigenvalues decided by direction error are both positive values in an ideal system, in which all the lags are neglected. However, the miss distance gradually increases with the increase of the direction error and its variation is small when direction error is not more than 5° in the system, in which seeker lag and missile body lag are considered.     

Pattern synthesis optimization of 3-D ODAR based on improved GA using LSFE method

Pattern synthesis in 3-D opportunistic digital array radar(ODAR) becomes complex when a multitude of antennas are considered to be randomly distributed in a three dimensional space.In order to obtain an optimal pattern,several freedoms must be constrained.A new pattern synthesis approach based on the improved genetic algorithm(GA) using the least square fitness estimation(LSFE) method is proposed.Parameters optimized by this method include antenna locations,stimulus states and phase weights.The new algorithm demonstrates that the fitness variation tendency of GA can be effectively predicted after several "eras" by the LSFE method.It is shown that by comparing the variation of LSFE curve slope,the GA operator can be adaptively modified to avoid premature convergence of the algorithm.The validity of the algorithm is verified using computer implementation.     

NIA2： A fast indirect association mining algorithm

Indirect association is a high level relationship between items and frequent item sets in data. There are many potential applications for indirect associations, such as database marketing, intelligent data analysis, web -log analysis, recommended system, etc. Existing indirect association mining algorithms are mostly based on the notion of post - processing of discovery of frequent item sets. In the mining process, all frequent item sets need to be generated first, and then they are fihered and joined to form indirect associations. We have presented an indirect association mining algorithm （NIA） based on anti -monotonicity of indirect associations whereas k candidate indirect associations can be generated directly from k - 1 candidate indirect associations, without all frequent item sets generated. We also use the frequent itempair support matrix to reduce the time and memory space needed by the algorithm. In this paper, a novel algorithm （NIA2） is introduced based on the generation of indirect association patterns between itempairs through one item mediator sets from frequent itempair support matrix. A notion of mediator set support threshold is also presented. NIA2 mines indirect association patterns directly from the dataset, without generating all frequent item sets. The frequent itempair support matrix and the notion of using tm as the support threshold for mediator sets can significantly reduce the cost of joint operations and the search process compared with existing algorithms. Results of experiments on a real - word web log dataset have proved NIA2 one order of magnitude faster than existing algorithms.     

The identification algorithm for commensurate order linear time-invariant fractional systems

Recently the focus of interest toward factional cal-culus and fractional systems became increasingly heat-ed. One of the important reasons is that many real phe-nomena, such as electrochemistry[1], heat conduc-tion[2], diffusion[3], and viscoelasticity[4], are wellsuited to be represented by fractional systems, i.e. itconforms to the real situations better if the order ofthese systems is non-integer rather than integer. For theidentification of integer order systems, there are manymature algor…     

Study on the Dynamic Characteristic of Lathe Headstock

In order to provide reliable data for the dynamic design or modification of a tool machine,the dynamic character- istics of the headstock,which is the main component to bear moment,must be obtained precisely.In the paper,the method based on the combination of calculation mode and experiment mode is proposed to analyze the dynamic characteristics of the headstock.The modal parameters and the mode shapes are calculated by ANSYS7.1 software.According to the FEM calculating results,the ex- periment parameters can be selected correctly.The modal parameters of the headstock have to be calculated and identified precisely. On the basis of these modal parameters,the faults of the headstock are shown and its weak points of design are illustrated.A con- clusion is drawn that some reasonable reinforce positions could greatly improve the dynamic characteristics of the system and this ap- proach is proved to be precise and reliable.     

A matrix method for degree-raising of B-spline curves

A new identity is proved that represents the kth order B-splines as linear combinations of the (k + 1) th order B-splines A new method for degree-raising of B-spline curves is presented based on the identity. The new method can be used for all kinds of B-spline curves, that is, both uniform and arbitrarily nonuniform B-spline curves. When used for degree-raising of a segment of a uniform B-spline curve of degree k - 1, it can help obtain a segment of curve of degree k that is still a uniform B-spline curve without raising the multiplicity of any knot. The method for degree-raising of Bezier curves can be regarded as the special case of the new method presented. Moreover, the conventional theory for degree-raising, whose shortcoming has been found, is discussed.     

Micromechanical characteristics of the asphalt mixture in bending condition

The characteristics of asphalt mixtures are associated with the key features of the mixed material when it is not damaged.Two-dimensional(2D) microstructure images of asphalt mixture bending beam specimen were captured by a CCD camera.After image processing,such as noise elimination,boundary identification,image binarization and vectorization,the images were imported into finite element(FE) software in order to set up the micromechanical finite element(FE) model.The simulation results show that the displacement contours spectrum is not a smooth curve since the mixed material is heterogeneous.Also,the largest strain value exists at the bottom of the specimen between two coarse aggregates,and it is the point where the fracture starts.The stress values of aggregates are larger than those of the asphalt matrix.Different from the strain of asphalt matrix,the strain of aggregates is close to zero because the aggregates have higher capability to resist self-deformation.The difference in deformation between aggregate and asphalt matrix can lead to an interface crack as a final result.All these results can be improved by three-point bending test of asphalt mixture beam.     

Thermal performance of heat pipe with different micro-groove structures

Four kinds of micro heat pipe of trapezoidal groove wick structure with different numbers of grooves or aspect ratios were studied and compared about thermal transfer performances in order to optimize the manufacture of micro heat pipe with groove wick structure. The results show that these micro heat pipes have excellent performance in heat transfer; the equivalent thermal conductivity coefficient is two orders of magnitude compared with that of copper; the number and aspect ratio of grooves have a prominent effect on the performance of such thermal transfer. The optimum number of grooves is lower than 60 and the best aspect ratio is near to 1.5. The temperature and thermal transport rate are almost directly proportional relationship, but this relationship will be broken up suddenly when the critical heat flux is reached.     

Polarization and absorption principle of corona virus in the electric field

The polarization and absorption principle of corona virus in the electric field is presented. It is expressed by the mathematic differential equation based on the physical model. According to the parameters of the dipole moment of virus, the electric field force exerted by the external electric field can be calculated. According to the parameters of size, mass and elastic modular, etc. , the moment of inertia of virus can be calculated. According to the viscosity of tissues, the resistant force when virus rotates can be calculated. According to the balance condition of relaxation polarization, when the drive force equals to the resistant force, the rotating or swaying frequency of virus can be calculated. According to the heat producing condition such as friction, the temperature rising of virus can be calculated. When the temperature exceeds a certain threshold, virus would be inactivated. Through the calculation, it is found that the movement type of the virus depends on the intensity and frequency of the external electric field, which are the effects of ＂intensity widows＂ and ＇＂ frequency windows＂. It also gives approximate calculation of the temperature rising of the virus according to this model. The vitro experiment confirms the reasonability of this model. The electric fields of different densities of a certain frequency are applied to the solution of avian infectious bronchitis virus. Through the toxicity experiment of the SPF chicken embryo, it is found that the toxicity is decreased exceedingly with a certain intensity of the applied voltage. EID50 decreases from 6. 70/0. 2 mL to 2.66/0. 2 mL. It is proved that the avian infectious bronchitis virus can be inactivated with a certain low frequency and low-density electric field.     

Automatic recognition and quantitative analysis of Ω phases in A1-Cu-Mg-Ag alloy

The main methods of the second phase quantitative analysis in current material science researches are manual recognition and extracting by using software such as Image Tool and Nano Measurer. The weaknesses such as high labor intensity and low accuracy statistic results exist in these methods. In order to overcome the shortcomings of the current methods, the Ω phase in A1-Cu-Mg-Ag alloy is taken as the research object and an algorithm based on the digital image processing and pattern recognition is proposed and implemented to do the A1 alloy TEM （transmission electron microscope） digital images process and recognize and extract the information of the second phase in the result image automatically. The top-hat transformation of the mathematical morphology, as well as several imaging processing technologies has been used in the proposed algorithm. Thereinto, top-hat transformation is used for elimination of asymmetric illumination and doing Multi-layer filtering to segment Ω phase in the TEM image. The testing results are satisfied, which indicate that the Ω phase with unclear boundary or small size can be recognized by using this method. The omission of these two kinds of Ω phase can be avoided or significantly reduced. More Ω phases would be recognized （growing rate minimum to 2% and maximum to 400% in samples）, accuracy of recognition and statistics results would be greatly improved by using this method. And the manual error can be eliminated. The procedure recognizing and making quantitative analysis of information in this method is automatically completed by the software. It can process one image, including recognition and quantitative analysis in 30 min, but the manual method such as using Image Tool or Nano Measurer need 2 h or more. The labor intensity is effectively reduced and the working efficiency is greatly improved.     

Multi-agent consensus algorithm for second-order systems with a time-varying reference state

Two second-order consensus algorithms with a time-vary reference state without relative velocity measurements are proposed in a directed topology. Necessary and sufficient conditions are presented to ensure second-order consensus. It is shown that all the coupling strengths and the eigenvalues of the Laplacian matrix play important roles in reaching consensus. Specially when all nonzero eigenvalues of the Laplacian matrix are real,consensus can be achieved if and only if the coupling strengths are positive and the directed topology has a spanning tree for the first algorithm,and for the second one,consensus can be achieved if and only if the coupling strengths are positive. Finally,simulation examples are presented to verify the theoretical analysis.