查询词典 spatial isomorphism

By analyzing the problem of hydrological 3D spatial dispersion in 3D finite differential numeric simulation of porous groundwater flow, as well as discontinuous spatial distribution and asymmetric thickness of porous aquiferous strata and partitive groundwater stratum, the paper presents the GIS-based technique of 3D spatial dispersion of porous aquiferous stratum system. Besides, the paper puts forward the 3D spatial dispersion method of irregular hexahedral unit based on GIS to guarantee to the greatest degree the uniqueness of the stratum types among the dispersed units and improve the precision of 3D spatial dispersion.

分析了目前孔隙地下水流三维有限差分数值模拟中对含水层系统三维空间离散存在的问题，针对自然界孔隙含水层与隔水层空间分布的不连续性与厚度的不均匀性，研究了基於GIS的孔隙含水层系统三维空间离散实现的技术路线，提出了基於GIS与不规则六面体元的孔隙含水层系统的三维空间离散方法，最大限度地保证了离散体元中含水层类型的单一性，提高了孔隙地下水流模拟模型三维空间离散的精度。

The dissertation includes the work as follows: Firstly, we present a random graph model with spatial reuse for a dense MANET which using directional antennas. The analytic formula of several important performance parameters for the MANET are obtained under the DSR routing protocol, such as the average flooding distance, the probability generating function of the flooding distance, the probability of a flooding route to be symmetrically valid, the average time to find a symmetrically valid route and the cost to successfully route a data packet to its destination. We compare the two models with spatial reuse and without spatial reuse by evaluating these parameters. It is shown that the spatial reuse model is much more effcctive in terms of the performance of the dense network with directional antenna, because the bigger is the degree of spatial reuse, the smaller is the average flooding distance.

在定向天线技术的支持下，建立了移动自组网络空间可重用的贝努利随机图模型，获得了DSR路由协议下平均泛洪距离的解析公式和泛洪距离的概率母函数：给出了有效对称路由概率、发现有效路由平均时间、成功路由代价等关键性能参数的解析分析；在网络性能参数定量分析的基础上，对空间可重用和无重用的网络进行了比较分析，结果显示空间重用度增大，则平均泛洪距离、路由发现时延、网络代价减少。

At the every relative momentary point of time time-space, the situation of difference spatial measurement of cosmic gravitation exceed cosmic space-energy follow the rise and fall of quantum spatial measurement, at original cosmic time-space set out, from 0 come to do not exceed the 1/2 spatial measurement of cosmic time-space, not smaller the 1/4 spatial measurement of cosmic time-space, come to do not symmetrically gradually belong to stabilization thus at reductively fluctuate, not can reversely strides across reach the stable state of 1/3 spatial measurement cosmic time-space maintain unchanging.

在时空时间的每1个相对时刻点，宇宙引力大于宇宙空间能的宇称差的状况随宇称量子的涨与落，在原初的宇宙时空启动，从0成不大于宇宙时空宇称的1/2，不小于宇宙时空宇称的1/4，成不对称地递归于稳定而在缩小地波动，不可逆地跨越到宇宙时空宇称1/3的稳定状态保持不变。

By analyzing the factors that have impacts on spatial morphology and landscape pattern,this paper points out that it is the approach to realize the sustainable development of town spatial morphology of the completeness of ecological landscape,the successiveness of the spatial development,the organic nature of spatial elements and the human virtue of spatial morphology.

通过对空间形态和景观格局形成的影响因素分析，提出了小城镇生态景观的完整性、空间生长的连续性、空间要素的有机性与空间形态的人文性是实现小城镇空间形态可持续发展的方法和途径。

The author establishes economic models which depends on "transportational" theory and life cycle theory,analyses the dynamic stage of road passenger transportation.In the paper, the author also applys location quotient,spatial imblance,spatial autocorrelation theories,establishes the indexs system which can be used to analyse the development of road passenger transportation to study the spatial characters of the developmnet of road passenger transportation from two aspects such as spatial relativity and spatial difference.

论文以&运输化&理论、生命周期理论为基础，建立了相应的计量分析模型，并分析道路客运动态发展的阶段；从空间相关性和空间差异性两个方面，运用区位商、空间非平衡、空间自相关等理论，建立道路客运发展空间分析衡量指标体系，探讨道路客运发展的空间特性。

At a certain range, habitat loss and its spatial structure can benefit the control of the epidemic disease, which indicates the possibility of using human disturbance in habitat as a potential epidemic-control method in conservation.(6) Not only the quantity of habitat loss but also the spatial correlations of patch types caused by nonrandom habitat loss affect the invasion and transmission of disease. More fragmented landscape (high amount of habitat loss, low clustering of lost patches) hinders the parasitic infection, which also indicates that whether the spatial heterogeneity benefits or hinders the invasion is dependent on the considered ecological process.(7) Two components of the spatial heterogeneity (the amount and spatial autocorrelation of the lost habitat) form a trade-off in determining the host-parasite dynamics.(8) Within a certain range of habitat loss, host can counterbalance the positive and negative effects, and shows a rising tendency.(9) The epidemic is more likely to break out in the prey-predator system if only a small amount of habitat loss.(10) A highly aggregated distribution of species is a common behavioral strategy when dealing with habitat loss or other environmental stresses.(11) The parasite-host/prey-predator eco-epidemiological systems have the similar mechanism with the intraguild predation systems, and the predator acts as the intraguild predation, the infected prey acts as intraguild prey, and the susceptible prey acts as shared resource.(12) Species at the highest trophic level are no longer affected the most by habitat loss, which depend not only on the biological mechanism but also on the external environmental disturbances.

随着邻体数目的增加，病毒的感染力度变得更大而且在空间上形成聚集的波形；(5)生境破坏及其空间结构在一定范围内有利于疾病的控制，这暗示人为对生境的干扰可作为疾病控制的一个潜在方法；(6)生境破坏的数量以及不同类型生境的空间分布格局都显著地影响了寄生病毒的入侵和传播，生境破碎化程度越高(高丧失斑块的数量或低聚集程度)，将越有害于病毒的入侵和传播，这暗示了空间异质性是否有益于物种的入侵依赖于所考虑的生态过程；(7)由生境破坏引起的空间异质性的两个组分之间存在负偶联关系trade-off(8在适度的生境破坏范围内，宿主种群能够平衡生境破坏带来的正负两种效应并呈现增长趋势；(9)在捕食-食饵系统中，寄生感染病毒极有可能在生境破坏量较低时爆发；(10)物种在面临生境破坏或者其它环境压力时表现出更高的聚集分布策略；(11)寄生-宿主/食饵-捕食生态传染病系统与共位捕食食物网结构具有相似的生物机制，其中捕食者扮演共位捕食者的角色，已感染食饵作为共位食饵，易感染食饵扮作共同消耗的资源；(12)位于最高营养级水平的种群对生境破坏的响应不一定是最敏感的，这不仅依赖于内在的生物机制同时也依赖于外在的环境干扰。

However, it can only implement the limited operation to the spatial objects, cannot carry on transformation, index, interlink age and excavation to the spatial data, and hard integrate other information with combining map variable to set up and analysis new variable. Meanwhile, relational model in the traditional DBMS and the object- oriented modeling do not completely suit the spatial application domain. The relational model can handle topological relation well, but shows inabilities to that complicated level crossing the spatial region. Object-oriented model using software method based on the principle of the customer defined data type supports the abstract data type, especially spatial abstract data type, and possesses polymorphism and inheritances, and it can deal with topological and the layer relation, but hardly processes important continuous phenomenon in space.

GIS是当今操作有关空间信息的成熟工具和技术，但其只能对空间对象进行有限的操作，不能对空间数据进行变换、索引、链接和挖掘，难以集成其他信息来构建和分析新变量；而传统数据库管理模型中的关系模型和面向对象建模也不完全适合空间应用这一领域，关系模型能够较好地处理拓扑关系，但对表示横跨空间区域的复杂层次却无能为力；面向对象模型的软件方法支持抽象数据类型，特别是空间抽象数据类型，具有继承性和多态性，能够处理拓扑和层次关系，但难以处理空间中重要的连续性现象。

The isomorphism relation may also be defined for all these generalizations of graphs: the isomorphism bijection must preserve the elements of structure which define the object type in question: arcs, labels, vertex/edge colors, the root of the rooted tree, etc.

同构的关系也可能会被定义为所有这些概括图：同构bijection必须保存的内容结构，确定了对象类型的问题：弧线，标签，顶点/边缘的颜色，根的根树，等

Second, in the fourth character, we discuss Vague groups, give some interesting properties, and the most important result is the homomorphism and isomorphism between two L-Vague sets, the homomorphism and isomorphism theorems in the theory of classical groups are extended to the L-Vague groups.

二是研究了Vague集的群问题，给出了一些性质，并着重研究了L-Vague群的同态和同构，将群中的同态定理和同构定理推广到L-Vague群上，见第四章。

In this part, we mainly focus on some concepts such as integral domain, division ring, field, ideal, difference ring, isomorphism, homomorphism and anti-isomorphism.

本部分主要介绍整区、除环、域、理想、差环、同构、同态及反同态等基本概念。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。