空间地

This article focuses on the line-line, line-region and region-region topological relations algorithm, which come down to the same question: whether there are intersections between line and line. The sweep-line algorithm was studied by many people, but has some deficiencies to be improved, in order to handle some special cases and increase program efficiency. My works as follows: rectangular envelope to reduce executive times , vector cross multiplication to determine intersection between line and line, coordinates and slope method to deal with some special cases. C program examples are showed together.(5) Finally, to prove capability and efficiency of the model and calculation method, some test systems are developed. For example, complex spatial topological relation query, parcels' exact area with the area of linear object reduced in land use, quality inspection to cadastral data according to topological rule, spatio-temporal change query of cadastral data.

将线线、线面、面面之间的拓扑关系实现的算法归结为线与线之间求交的基本问题；为处理一些特殊的拓扑关系情况，提高扫描线算法的效率，探讨了包络矩形粗滤、判断线线是否相交的矢量叉乘法、线节点重合或共线的斜率坐标判断法等改进方法；同时还设计了一种新的节点微小圆求交的算法，可应用于图斑与线状地物细分拓扑关系及地类面积的计算；（5）本文设计了实验系统，包括复杂对象的拓扑关系表达与计算程序、图斑地类面积的计算程序、基于空间拓扑关系规则的地籍数据库质量检查功能，以及时空拓扑关系和变化语义分析等原型，验证了拓扑关系表达模型和计算方法的可行性和实用性。

In addition, the presentation of the plot in Beloved are discontinued by many interruptions, which, to a certain extent, may engender a sense of disconnectedness and fragmentation; however, the intrinsic connection between the novel's temporal and spatial relations does ensure an artistic entity of the novel's structure, which in turn helps the events in the novel to be clearly presented and highly linked to one another.

另外，小说《宠儿》的非连续性的情景发展在一定程度上造成了小说结构的分散和不连贯，但小说中时间和空间的内在联系如蓝石路124号和发生在那里的事件，不仅确保了小说拥有明晰故事结构，促进了事件的再现，还使事件与小说中时间和空间的变化保持紧密地联系。

In this, A new methods was introduced, which employed a polarized polyvinylidene fluoride polymer film and fast electronic pulse techniques.

最后在对于近地轨道上空间碎片的分布情况进行深入分析，根据探测需求提出了一个空间微小碎片探测器方案。

Here Shu Yong's "bubble" become a special key to a knowledge space having been sealed up by us for long, where we may find exhaustless wealth.

在这里舒勇的"泡泡"神话般地成为一把奇特的钥匙，开启了一个被我们封存已久的知识空间。这个空间有我们用之不尽、取之不竭的财富。

Expansivity, contraction, rebirth and vanishment events for management of land use data. And it further designed an object-superposition data updating model based on the land use feature of point, line and polygon,which would take the advantage of the GIS overlay function to effectly implement of updating spatial and attribute data .

从面向对象的方法入手，定义了引起土地利用变化的扩展、收缩、新生与消亡四种地理事件，并分别按点状地物、线状地物和面状图斑的土地利用实体特征设计了对象叠加更新模型，从而能利用GIS强大的空间分析能力，来有效地实现空间数据和属性数据的一致性更新。

In order to solve the problem,We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential manifold. The travel time are expressed as polynomials of the horizontal offset between the two points, and the single-square-root operator in frequency-wavenumber domain are expressed as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddle-point method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量(地面点到地下相点的水平距离)的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

In order to solve the problem, We proposed a simple formula for computing paraxial travel time of single-way wave operator. The formula is based on the forward and inverse transform between time-space domain to frequency-wavenumber domain and from vector field to exponential as polynomials of wavenumber. Coefficients of travel time polynomials and that of single-square-root operator are related each other and calculated by Lie algebraic integrand, exponential map and the saddlepoint method.

针对此，基于时间空间域到频率波数域和向量场到指数流形上的正反变换，提出了计算单程波算子旁轴走时的简便公式，将走时表示成空间变量（地面点到地下相点的水平距离）的多项式，将频率波数域单平方根算子表示成波数的多项式，运用Lie代数积分、指数映射和鞍点法将走时多项式的系数与单平方根算子的系数联系起来，运用单平方根算子的系数计算走时多项式的系数。

This thesis is devoted to the consideration and study of martingale space and inequality theory in the background of a rearrangement invariant function space on finite interval.

本文系统地考虑和研究了有限区间上重排不变函数空间框架下的鞅不等式和鞅空间。

But once the people are disappeared from these spaces, the spaces taken by the backgrounds or setting inevitably become the main objects of the reality, completely showing themselves and coming to the forestage.

然而，一旦人从这些空间里消失后，作为背景或布景的空间自身无可挽回地成为了现实的主体，袒露一切，走到前台。

Then, the differential equations are solved by the Fourier expanding and Hankel integral transform method. Integral solutions of soil skeleton displacements and pore pressure as well as the total stresses for poroelastic media are obtained. Furthermore, a systematic study on Lamb's problems in transversely isotropic saturated half-space is performed. Integral solutions for surface radial, vertical and tangentical displacements are obtained both in the case of drained surface and in the case of undrained surface excited by vertical and tangentical harmonic resources respectively. Numerical results show the obvious difference between the model of isotropic saturated poroelastic media and that of transversely isotropic saturated poroelastic media.

其次，基于Biot波动理论，在圆柱坐标系下求解了横观各向同性饱和土的Biot波动方程：通过引入位移函数，在圆柱坐标系下将横观各向同性饱和土的Biot波动方程转化为两个解耦的6阶和2阶控制方程，然后根据方位角的Fourier展开和径向Hankel变换，求解波动方程，得到以土骨架位移和孔隙水压力为基本未知量的积分形式一般解，并用一般解给出了饱和土总应力分量的表达式；再以基本解为基础，系统地研究了横观各向同性饱和半空间体的Lamb问题，考虑表面排水或不排水两种情况后，首次得到横观各向同性饱和半空间体在表面竖向和水平谐振力作用的下径向、竖向和周向位移的解析解。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。