The description model of integrated qualitative distance and directional relations was built with the project-based method in 2D- and 3D space, respectively.
分别在二维、三维空间中，采用基于投影的方向关系建立了位置关系定性描述模型。
参考来源 - 三维空间关系的描述及其定性推理Finally, based on the research work above, we developed a prototype system, which realized the modules such as qualitative reasoning of directional relations. And the system also provides Spatial Query function for spatial data mining.
最后，本论文在上述研究工作的基础上，开发出原型系统，实现了方向关系定性推理等功能模块，为空间数据挖掘过程提供了空间查询功能。
参考来源 - 定性空间推理与空间数据挖掘技术·2,447,543篇论文数据，部分数据来源于NoteExpress
Progress has been made in the models of directional relations between spatial objects.
空间对象的方向关系模型的研究已经取得了一定的进展。
This relationship between the subjective and objective is a bi-directional and dynamic relations.
这种存在于音乐审美主客体之间的是一种双向的、动态的价值关系。
A discussion of the relations between continuity, partial derivative, directional derivative and differentiability of binary function is helpful for us to study binary function.
探讨二元函数的连续性、偏导数、方向导数以及可微性之间的关系，有助于我们对二元函数的学习。
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