By using the green formula and the character of harmonic function,the integral expression of ternary harmonic function in the spatial region Ω,outside and on the boundary were studied.

The authorization and access request rules and constraints of spatial region access control were defined, and the method of spatial data access control was described in detail.

The development of formal models of spatial relations is an important topic in spatial reasoning, geographic information systems (GIS) and computer vision, and has gained much attention from researchers during the recent years. In particular significant progress has been made in the models of topological relations between spatial regions.

空间关系形式化模型的发展是空间推理、地理信息系统(geographic information systems,简称GIS)、计算机视觉等领域中的一个非常重要的主题,近年来受到相关领域研究者的极大关注,特别是在空间区域间拓扑关系模型的研究方面取得了很大进展.

Localization is completed in dynamic environment by dividing indoor space and eliminating bad values according to the characteristics of spatial regions and also by serial and parallel deduction.

(3)The driving forces of cultivated land change in Hubei can be divided into four kinds of spatial regions according to the driving factors and the driving forces index model:the most superior economical welfare-ecological safety actuational area; the most superior economical welfare-grain safety actuational area; the grain safety-survival economical welfare actuational area;

In many geographical applications, spatial regions do not always have sharply defined boundaries but frequently their interiors and boundaries are fuzzy.

When S VISSR data are produced in real time, it is possible that scattered signals within cold space area of the image can be reduced or eliminated, but it is more difficult to eliminate those in the image of earth area.

The policies and measures, such as advancing for global marketplace, deepening the business domain and extending space area of specialization, should be made to gain breakthrough and to promote the development of industrial clusters.

Through an analysis on several examples we show that the phase space regions occupied by the laminar phases displayed by type\|V intermittencies in two\|dimensional maps often possess one\|dimensional characteristics.

Disposition of garden plant in university campus not only should embody its education function to serve the comprehensive reform, construction and development of the university, but also should renew continually plant variety and disposal method with development of era, and follow different disposal principles according to different space regions, and disposal principles.

The fire risk is determined by adopting the principles of the system,considering the whole building as a system made up of several relative independent space regions and conducting evaluations on the fire risks of every area.

A region movement model is proposed on the basis of the conceptual neighborhood structure in Region Connection and Calculus(RCC) and the fuzzy sets theory. This model is able to deal with the space regions that can move or change with time in a dynamic environment. Also on the basis of the path consistency algorithm proposed by Allen,a fuzzy reasoning algorithm of path consistency is presented for this model.

The correlation of signals received from a spatial region heated above the ambient medium is measured.

The functions are shown to determine a natural basis for the expansion of CFHH functions in the considered spatial region.

It is shown that either the presence of a magnetic flux in a finite spatial region or jumps in the field strength are necessary to generate a global potential.

Statistics of particles (smoke aerosol in the atmosphere) reaching a prescribed spatial region are analyzed.

Collective Cherenkov effect and anomalous Doppler effect in a bounded spatial region

The main object of the study is the effect of the acoustic parameters of the sediment layer on the formation and structure of the spatial regions within which the diffraction focusing of the acoustic field takes place.

We determine the probabilities of Landau-Zener transitions in the spatial regions where under two-photon resonance conditions the quasienergies of the atoms approach one another by a small quantity.

The spatial regions in which these fluxes are particularly intensive at different stages of the discharge are determined.

Spatial regions and optimal orientations for surface acoustic waves in langasite, langanite, and langatate piezoelectric crystals are analyzed.

New optimal spatial regions and orientations that are promising for SAW-based devices are found.

An independent neuroradiologist made the following quantitative measurements: frontal horn index, subarachnoid space area and the ratio between subarachnoid space area and inner skull space area.

Quantitative measurement of disc space area before and after chemonucleolysis and nucleotomy

Heavy destructions may produce a pericapillar intercellular detritus space (Area paracentralis).

Bowman's space area, mesangium and mesangial tuft area were determined in 50 glomeruli of each specimen by computer-assisted morphometry.

The data cover a phase space area ranging from 0 to 1.8?GeV/c in transverse momentum and from -0.1 to 0.5 in Feynman xF.

In this paper, we discuss the problem of the local energy content in gravitational fields. A new total energy-momentum density pseudo-tensor of gravitational field is given In this paper. The energy content in any part of a gravitational field given by the new pseudo-tensor is an invariant under arbitrary purely spatial transformation, hence the local energy content in the gravitational field has a well-defined physical meaning. For the energy and momentum of a Schwarzschild gravitational field, the results...

In this paper, we discuss the problem of the local energy content in gravitational fields. A new total energy-momentum density pseudo-tensor of gravitational field is given In this paper. The energy content in any part of a gravitational field given by the new pseudo-tensor is an invariant under arbitrary purely spatial transformation, hence the local energy content in the gravitational field has a well-defined physical meaning. For the energy and momentum of a Schwarzschild gravitational field, the results given by the new pseudo-tensor are more reasonable than those given by other pseudo-tensors pro-posed in the literatures of the general theory of relativity.

In this paper the existence of solvability for the following generalized boundary value problems is discussed.Let be the parabolic differential operator defined in the region Ω×[0,T] in a n+1 dimensional space and Ω be the bounded region with a bound S in a n dimensional Euclidean space En The problem of whether there exists a regular solution for the second order parabolic equationon Ω×[0,T] satisfying the following initial and boundary conditions is taken into consideration.If ψ(P) is continuous at point P,thenIf...

In this paper the existence of solvability for the following generalized boundary value problems is discussed.Let be the parabolic differential operator defined in the region Ω×[0,T] in a n+1 dimensional space and Ω be the bounded region with a bound S in a n dimensional Euclidean space En The problem of whether there exists a regular solution for the second order parabolic equationon Ω×[0,T] satisfying the following initial and boundary conditions is taken into consideration.If ψ(P) is continuous at point P,thenIf P∈Ω (or P∈Ω) and approaches to the point Q∈S along the conormal of S,thenalmost everywhere over S,where L is refered to as the operator in 1.Of the functions above-mentioned,ψ(P) is piecewise continuous on Ω,and ψ(Q,t)and ψ1(Q,t) are the arbitrary Lebesgue integrable functions with respect to Q over S and also continuous with respect to t With the aid of both the double layer and the single layer potential functions,these problems can be reduced to the linear integral equations solved with definite conditions including Lebesgue integrable free terms As a consequence,the existence of regular solutions for the problems with interior and exterior boundary values is proved. Here the first interior boundary value problems are emphatically discussed in detail The main results are expressed asTheorem 1.If1° aij(P,t)∈C2(Ω)(i,j=1,...,n) with respect to x1,...,xn(the coordinates of point P) and is of Holder's continuity with respect to t×λ[0,T];3° let S be the boundary surface of the bounded region Ω,S∈A1+λ;then,for any Lebesgue ψ(Q,t),which is integrable with respect to Q over S and continuous with respect to t∈[0,T],there exists the regular solution u (P,t) for (u)=0 satisfying the initial condition u(P,0)=0 and the interior boundary condition shown as form(3)Theorem 2.If1° S∈A1+λ,f(P,t)∈C(Q) (Q=Ω×[0,T)) and also satisfies the Holder's condition with respect to P;2° aij(P,t),bi(P,t),c(P,t) satisfy their relevant conditions respectively and aij(P,t) is of Holder's continuity with respect to t∈[0,T] then,for any ψ(P) which is piecewise continuous on Ω and any Lebesgue integrable ψ(Q,t) with respect to Q over S which is continuous with respect to t∈[0,T],there always exists a regular solution of the nonhomogeneous equation(1) satisfying the initial condition (2) and the interior boundary condition (3).The regular solution u(P,t) may be expressed as

A generalized dispersion relation for electromagnetic two.stream instabilitieshas been obtained and analyzed.The results show that there is an electromagetictwo.stream instability that is sensitive to the thermal velocity spread of particles.The dispersion relation for cyclotron wave instability is computed and the regionin which the instability is to take place and the optimal value for excitinginstability are obrained.The main results are as follows:1)The regions in K-space for the electro.magnetic cyclotron(R—c...

A generalized dispersion relation for electromagnetic two.stream instabilitieshas been obtained and analyzed.The results show that there is an electromagetictwo.stream instability that is sensitive to the thermal velocity spread of particles.The dispersion relation for cyclotron wave instability is computed and the regionin which the instability is to take place and the optimal value for excitinginstability are obrained.The main results are as follows:1)The regions in K-space for the electro.magnetic cyclotron(R—c or L—c)wave instabilities areand K_ZV_D/ω(Bi)>K_Z~2V~2/ω_(Bi)~2≥0 when K_ZV_D/ω_(Bi)≤4K_ZV_D/ω_(Bi)>K_Z~2V_A~2/ω(Bi)>K_ZV_D/ω_(Bi)-4,when K_ZV_D/ω_(Bi)>4where V_A=cω_(Bi)/_ω(Bi)is the Alfvén speed,V_D is the relative speed between ionsand electrons,ω_(Bi)=eBo/Mc is the cyclotron frequency of ions.2)The optimal value of K_ZV_D/ω_(Bi),at which we can obtain the largest region and the growth rate γ for the instabilities is 4,that is K_ZV_D/ω_(Bi)≈4.3)The solution of the dispersion relation for the ordinaty wave instabilitywith K⊥B_0 can be expressed as follows:(ω/ω_(pe))~2=(ω_(Be)/ω_()pe)~2+K_x~2V_(the)~2/ω_()pe-2(V_o/c)~2/1+2(ω_(pe)/K_xc)~2,from which we can obtain such a condition that the electromagnetic two-streaminstability occurs,(V_o/c)~2/1+2(ω_()pe/K_xc)~2>ω_(Be)~2/2ω_(?)~2+K_z~2V_(the)~2/2ω_(?)~2,that is,the magnetic field B_o and the temperature of the plasma areunfavourable for this instability.