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1·We always meet problems that how to construct the isomorphic mapping of two finite dimension linear Spaces in teaching.

在教学中，经常遇到如何构造两个有限维线性空间的同构映射的问题。

2·This section explores a rather intuitive but non-isomorphic mapping between XML and JSON so you can understand such differences.

这个小节探索了一个非常直观但不是同构的xml和json之间的映射。

3·Applying a D-triangulation on the facial feature points, a precise and topological isomorphic mapping is established between 3d mesh and texture. The texture mapping with high quality can be obtained.

该方法对人脸特征点集做三角剖分，在纹理图像和三维网格之间建立了一个准确的拓扑同构映射关系，从而得到高真实度的纹理映射。