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Grid theorem: Expression Derived from Quadratic Division of Grid of Geometric Space by Diagonal Central Logic

Published:13 February 2023Publication History

ABSTRACT

In this paper, the problem of particle spacing in geometric space is analyzed geometrically. Only for this problem, the "Grid theorem" is proposed in the geometric space. According to the theorem, the plane geometric graph is drawn on two adjacent particles in the geometric, and the two particles are planned in the graph. The diagonal bisector of each diagonal is drawn on the basis of the plane geometric diagram, and the diagonal center point is obtained. Furthermore, a direction of the same diagonal center point is taken as the secondary center point according to the subdivision line. Then, a feasible rule expression is obtained by summarizing and analyzing the results of the respective spacing, and the calculation and evaluation of this rule expression are extended.

References

  1. Tian Junqi, Han Banghe. Soft set advantage matrix of the diagonal properties and its induced reduction algorithm. Journal of Nanjing university (natural science), 2022, 58 (1): 49-59. DOI: 10.13232 / j. carol Carroll Nik juju. 2022. 01. 006.Google ScholarGoogle Scholar
  2. Zheng Qian, Liu Shan, Deng Lujuan, Corner detection algorithm based on parallelogram diagonal theory. Journal of zhengzhou university (engineering science), 2021, 42(4):19-25. (In Chinese) DOI: 10.13705/j.issn.1671-6833.2021.02.017.Google ScholarGoogle Scholar
  3. Yuan Lingyun, Yue Wenhong, Yang Ji. Exploration and Expansion of the teaching Content of "Diagonal Rule". Chemistry Teaching, 2020 (3): 80-85. (In Chinese) DOI: 10.3969/j.issn.1005-6629.2020.03.016.Google ScholarGoogle Scholar
  4. Cao Fangfang, Lv Quanyi. Parallel algorithm for solving asymmetric block tridiagonal linear equations. Journal of northwestern polytechnical university, 2011, 29 (2): 318-322. (In Chinese) DOI: 10.3969/j.issn.1000-2758.2011.02.030.Google ScholarGoogle Scholar
  5. Cui Xining, Lv Quanyi. Two-level parallel algorithm for solving block tridiagonal linear equations. Journal of northwestern polytechnical university, 2005, 23(6):817-820. (In Chinese) DOI: 10.3969/j.issn.1000-2758.2005.06.030.Google ScholarGoogle Scholar
  6. Sheng Yuebin, Song Xiaoqiu. A new distributed parallel algorithm for tridiagonal linear equations. Systems engineering and electronics, 2004, 26 (2): 258-260. DOI: 10.3321/j.issn: 1001-506x.2004.02.033.Google ScholarGoogle Scholar
  7. Li Lixin, Tan Jianrong. A Multi-diagonal Switching Algorithm for Forced Embedding Constrained Edges in Constrained Delaunay Triangulation. Chinese journal of computers, 1999, 22(10):1114-1118. (In Chinese) DOI: 10.3321/j.issn:0254-4164.1999.10.017.Google ScholarGoogle Scholar
  8. Pan Shuyuan. Correction and Communication: Presentation of Pythagorean Theorem in Elements of the Late Ming Dynasty (1607). Journal of Inner Mongolia normal university (natural science Chinese version), 2021, 50(5):396-405. (In Chinese) DOI: 10.3969/j.issn.1001-8735.2021.05.003.Google ScholarGoogle Scholar
  9. Sun Hui. All integer solutions of quadratic homogeneous Diophantine equation (n∑i =1) aix2i = by2. Journal of natural science of HEILONGJIANG university, 2003, 20(3):56-61. (In Chinese) DOI: 10.3969/j.issn.1001-7011.2003.03.014.Google ScholarGoogle Scholar
  10. Cai Yuejiang, Guo Yunting. Shang Gao did prove the Pythagorean Theorem – and also on the "moment" here should not be understood as a rectangle [J]. Mathematics practice and cognition, 2011, 41(12):1-5.Google ScholarGoogle Scholar

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  1. Grid theorem: Expression Derived from Quadratic Division of Grid of Geometric Space by Diagonal Central Logic

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      cover image ACM Other conferences
      ICSCC '22: Proceedings of the 2022 7th International Conference on Systems, Control and Communications
      October 2022
      77 pages
      ISBN:9781450397247
      DOI:10.1145/3575828

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      Publication History

      • Published: 13 February 2023

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