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arXiv math/0110085math.MG
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部分偏序Smarandache几何

Partially Paradoxist Smarandache Geometries

Howard Iseri

摘要:

一个悖论Smarandache几何结合欧几里德,双曲和椭圆几何到一个空间,以及其他非欧几里德行为的线,似乎需要一个离散空间。本文提出了一类连续空间,并给出了一些具体的例子,这些例子展示了几乎所有的这些现象,并表明了连续悖论几何的前景。

英文摘要:

A paradoxist Smarandache geometry combines Euclidean, hyperbolic, and elliptic geometry into one space along with other non-Euclidean behaviors of lines that would seem to require a discrete space. A class of continuous spaces is presented here together with specific exmples that exhibit almost all of these phenomena and suggest the prospect of a continuous paradoxist geometry.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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