Last Updated:2025/12/05
Sentence

射影三次元空間の直線と五次元射影空間の点との対応を研究する際、これらの包含関係を理解するために、直線を表すその五次元空間内の双曲二次曲面をよく調べる。

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When studying the correspondence between lines in projective three-space and points in projective five-space, one often examines the Klein quadric to understand their incidence relations.

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When studying the correspondence between lines in projective three-space and points in projective five-space, one often examines the Klein quadric to understand their incidence relations.

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Related words

Klein quadric

Noun
Japanese Meaning
数学分野の用語として、3次元射影空間の各直線を5次元射影空間上の一点と見なし、その各点が集合する双曲型二次曲面(Klein quadric)を指す。
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射影三次元空間の直線と五次元射影空間の点との対応を研究する際、これらの包含関係を理解するために、直線を表すその五次元空間内の双曲二次曲面をよく調べる。

Related Words

plural

English - English

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