This paper presents a research study on he images under the Klein mapping of the projectice 3-space order of 4 and the fuzzification of the Klein quadric in 5-dimensional projective space.
📌 3 Key Takeaways
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Objective & Hypothesis:Many techniques have been proposed to project the high-dimensional space into a low-dimensional space, one of the most famous methods being principal component analysis.
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Key Findings & Data:The lines of projective three-space are, via the Klein mapping, in one-to-one correspondence with points of a hyperbolic quadric of the projective 5-space.
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Conclusion & Impact:This paper presents a research study on he images under the Klein mapping of the projectice 3-space order of 4 and the fuzzification of the Klein quadric in 5-dimensional projective space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fuzzy point · fuzzy vector space · fuzzy projective space
Abstract
Many techniques have been proposed to project the high-dimensional space into a low-dimensional space, one of the most famous methods being principal component analysis. The Klein quadric is a geometric shape defined by a second-degree homogeneous equation. The lines of projective three-space are, via the Klein mapping, in one-to-one correspondence with points of a hyperbolic quadric of the projective 5-space. This paper presents a research study on he images under the Klein mapping of the projectice 3-space order of 4 and the fuzzification of the Klein quadric in 5-dimensional projective space.
AKÇA, Z., ALTINTAŞ, A. (2023). Fuzzy Counterpart of Klein Quadric. International Electronic Journal of Geometry, Cilt: 16 Sayı: 2, 680–688. https://ajindex.com/articles/971853
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