Latest Advances on AI and Robotics Applications

Silva, Manuel F.

doi:10.37965/jait.2022.0139

Cited by 2 publications

(4 citation statements)

References 6 publications

(6 reference statements)

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“…In this way the proposed method provides a way to deal with unknown data sets and its characterization. In near future the author will focus on exploring data with Turiyam set [30][31][32][33] with its comparison with other set theory [34][35] for various applications [36] .…”

Section: (Iii)mentioning

confidence: 99%

“…Hence this gave a way to deal with complement of Euclidean, Non-Euclidean, Hybrid and Unknown or Turiyam Geometry based on human conscious [32][33] or unconsciousness [34][35]. It has many applications in case of self driving car or robotics as discussed in [36]. This paper focus on introducing some new concepts of Non-Euclidean geometry and its real life examples for further study.…”

Section: Introductionmentioning

confidence: 99%

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Four-Way Turiyam based Characterization of Non-Euclidean Geometry

Singh¹

2023

Preprint

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Recently, a problem is addressed while dealing the data with Non-Euclidean Geometry and its characterization. The mathematician found negation of fifth postulates of Euclidean geometry easily and called as Non-Euclidean geometry. However Riemannian provided negation of second postulates also which still considered as Non-Euclidean. In this case the problem arises what will happen in case negation of other Euclid Postulates exists. Same time total total or partial negation of Euclid postulates fails as hybrid Geometry. It become more crucial in case the data is unknown, incomplete or exists beyond the three-way space as heteroclinic pattern. To understand this problem, the current paper tried to distinguish Euclidean, Non-Euclidean, Anti-Geometry, Neutrogeometry and Turiyam or Unknown geometry using the complement operator with an example.

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