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 A2≤0, then N_(A2)≤(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_(A2)≤(n-1)2 1 are given. It is also proved that N_(A2)≤n2-4n 5 when A is a reducible combinatorially symmetric sign pattern such that A2≤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.     

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some semitransparent porous media such as ceramics where the matrix is absorbing,the conventional Mie solution is no longer valid.In this study a rigid Mie solution of electromagnetic scattering by a sphere in an absorbing medium is introduced to analyze the radiative properties of such a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.     

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.     

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.     

THE SLUMP RETENTION OF N-2000 HIGH-RANGE WATER-REDUCING AND RETARDING ADMIXTURE

N-2000 is an admixture for concrete, with a low slump loss, high range water-reducing ratio and long-time retarding. The N-2000 is made up of naphthalene-sulfonic-maldehyde polycondensation (NSMP) and ATMP. Its characteristic results from the synergistic effects of NSMP and ATMP. The results show that when O.7%-1.2% of N-2000 is added to con crete (by mass of cement), the water reducing ratio is up to 20%-30%, and the slump of fresh concrete can be retained for 2 hours without significant loss. N-2000 can not only improve the workability of fresh concrete but also increase the strength of the hardened concrete, especially early strength. It is also proved to have a good compatibility with various cements.     

H2 Output Feedback Control for Airborne Dispenser Uncertain Generalized System

The problem of H2 output feedback control for generalized system with structural uncertainties is studied using linear matrix inequality approach. A sufficient condition Of linear matrix inequality is presented such that the closed-loop system is stable and satisfies H2 performance for all admissible uncertainties. Furthermore, the solution of the controller is given. An H2 output feedback controller is designed in the airborne dispenser pitch channel, and the simulation results show that the controller is effective.     

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.     

Variable stiffness control algorithm for high-rising buildings of closely spaced frequencies based on wavelet transforms

To establish the algorithm of SAT-TMD system with the wavelet transform(WT),the modal mass participation ratio is proposed to distinguish if the high-rising structure has the characteristic of closely distributed frequencies.A time varying analytical model of high-rising structure such as TV-tower with the SAT-TMD is developed.The proposed new idea is to use WT to identify the dominant frequency of structural response in a segment time,and track its variation as a function of time to retune the SAT-TMD.The effectiveness of SAT-TMD is investigated and it is more robust to change in building stiffness and damping than that of the TMD with a fixed frequency corresponding to a fixed mode frequency of the building.It is proved that SAT-TMD is particularly effective in reducing the response even when the building stiffness is changed by ±15%;whereas the TMD loses its effectiveness under such building stiffness variations.     

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     

New methods of safety evaluation for rock/soil mass surrounding tunnel under earthquake

The objective of this work is to obtain the seismic safety coefficient and fracture surface and proceed with the seismic safety evaluation for the rock mass or soil mass surrounding a tunnel,and the limitation of evaluating seismic stability is considered using the pseudo-static strength reduction.By using the finite element software ANSYS and the strength reduction method,new methods of seismic safety evaluation for the rock mass or soil mass surrounding a tunnel are put forward,such as the dynamic finite element static shear strength reduction method and dynamic finite element shear strength reduction method.In order to prove the feasibility of the proposed methods,the results of numerical examples are compared with that of the pseudo-static strength reduction method.The results show that 1） the two methods are both feasible,and the plastic zone first appears near the bottom corners; 2） the safety factor of new method Ⅱ is smaller than that of new method I but generally,and the difference is very small.Therefore,in order to ensure the safety of the structure,two new methods are proposed to evaluate the seismic stability of the rock mass or soil mass surrounding a tunnel.A theoretical basis is provided for the seismic stability of the rock mass or soil mass and the lining surrounding a tunnel and also provided for the engineering application.     

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-     

THE CONDENSATION OF THE BEAUTY ON THEMODELLING OF THE ART OF FASHION PERFORMANCE

To embody the pattern and sytle of costume is the key purpose of fashion performance.But the modelling is an important link of fashion performance. About how to fully expressthe pattern and style of costume through external form and inner entiment of the modelling.this paper pointed out three factors such as point and surface. idea and rhythm and expound-ed and proved that the three factors are unseparate organism.     

The matrix representation for the mathematic structure of Shannon＇ s information measures

Shannon＇ s information measure is a crucial concept in Information Theory. And the research, for the mathematics structure of Shannon＇ s information measure, is to recognize the essence of information measure. The linear relation between Shannon＇ s information measures and some signed measure space by using the formal symbols substitution rule is discussed. Furthermore, the coefficient matrix recurrent formula of the linear relation is obtained. Then the coefficient matrix is proved to be invertible via mathematical induction. This shows that the linear relation is one-to-one, and according to this, it can be concluded that a compact space can be generated from Shannon＇ s information measures.     

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.     

Comparison of phase unwrapping algorithms for living cell’s interference pattern

A multiphase microscopic interference system is designed to measure the height of cell which is important to the research of collective cell migration in physiology and medicine. This sys- tem can quantitatively measure cell height across a living monolayer without knowing the refractive index of cells. For the interference pattern, because the phases are all wrapped between - π to π, it is necessary to get the real phase through phase unwrapping,a method to restore the wrapped phase data of the object by using numerical calculations. Three representative algorithms are selected to unwrap the interference pattern of ceils： branch-cut method, quality-guided method and network method. Although each of them can restore the phase, their performances are obviously different. We compare these methods and find that branch-cut method needs the smallest execution time and can obtain good unwrapped patterns when noises are not serious.     

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.     

Optimization and Aerodynamic Characteristics of New Air-Cushion Nozzle of Floating Furnace for Automobile Body Sheet

It is very important to develop new air-cushion nozzles so as to raise the heat treatment property of aluminum alloy automobile body sheet(ABS). A geometric model of air-cushion furnace equipment of ABS was built up and flow field was simulated by using k-ε turbulence equations of COMSOL Multi-physics. The influence and regularity of number(n),diameter(d) and arrangement of middle hole,and main control parameters of new air-cushion nozzle on aerodynamic characteristics and flow field were studied. The results show that:1) with n increases,airflow vortexes in air-cushion area increase in multiple; d decreases or n increases,air cushion pressure(p_c) becomes uniform; 2) average of p_c is proportional to pressure in nozzle box(p_t),when n increases,ratio of average of p_c to p_t increases,and when n ≤ 3 and d b / 2,they have little effect on ratio of p_c average to p_t; 3) when n is an even number,n ≥4,and d ≤ b/2,p_c shows good uniformity; when n is an odd number,the center hole affects p_c uniformity greatly,and,when diameter of center hole is less than b / 4 and diameter of non-center is between b / 4 and b / 2,p_c has good uniformity. A new air-cushion jet model was presented,and the deviation of this new model with simulation data and experimental measured data are less than 7.75% and 7.76%,respectively. The present research is valuable for improving air-cushion stability,Al strip temperature homogeneity,and temperature control precision.