Mathematical Reasoning of Treatment Principle Based on the Stable Logic Analysis Model of Complex Systems

ABSTRACT

The article reviews the stable logic analysis model of complex systems or steady multilateral systems with two non-compatibility relations. Energy concept in Physics is introduced to the multilateral systems and used to deal with the multilateral system diseases. By using mathematical reasoning, it is demonstrated that the treatment principle: “Virtual disease is to fill his mother but real disease is to rush down his son” and “Strong inhibition of the same time, support the weak” which due to the “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine (TCM).

The article reviews the stable logic analysis model of complex systems or steady multilateral systems with two non-compatibility relations. Energy concept in Physics is introduced to the multilateral systems and used to deal with the multilateral system diseases. By using mathematical reasoning, it is demonstrated that the treatment principle: “Virtual disease is to fill his mother but real disease is to rush down his son” and “Strong inhibition of the same time, support the weak” which due to the “Yin Yang Wu Xing” Theory in Traditional Chinese Medicine (TCM).

Cite this paper

Y. Zhang, "Mathematical Reasoning of Treatment Principle Based on the Stable Logic Analysis Model of Complex Systems,"*Intelligent Control and Automation*, Vol. 3 No. 1, 2012, pp. 1-15. doi: 10.4236/ica.2012.31001.

Y. Zhang, "Mathematical Reasoning of Treatment Principle Based on the Stable Logic Analysis Model of Complex Systems,"

References

[1] Y. S. Zhang, “Multilateral Matrix Theory,” Chinese Stat. Press, 1993. http://www.mlmatrix.com

[2] Y. S. Zhang, “Theory of Multilateral Systems,” 2007. http://www.mlmatrix.com

[3] Y. S. Zhang, S. Q. Pang, Z. M. Jiao and W. Z. Zhao, “Group Partition and Systems of Orthogonal Idempotents,” Linear Algebra and Its Applications, Vol. 278, No. 1-3, 1998, pp. 249-262.

[4] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, No. 2, 1999, pp. 595-604.

[5] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Mathematics, Vol. 238, No. 1-3, 2001, pp. 151170. doi:10.1016/S0012-365X(00)00421-0

[6] Y. S. Zhang, L. Duan, Y. Q. Lu and Z. G. Zheng, “Construction of Generalized Hadamard Matrices D(rm(r + 1), rm(r + 1); p),” Journal of Statistical Planning and Inference, Vol. 104, No. 2, 2002, pp. 239-258. doi:10.1016/S0378-3758(01)00249-X

[7] Y. S. Zhang and S. S. Mao, “The Origin and Development Philosophy Theory of Statistics,” Statistical Research, Vol. 12, 2004, pp. 52-59.

[8] Y. S. Zhang, S. S. Mao, C. Z. Zhan and Z. G. Zheng, “Stable Structure of the Logic Model with Two Causal Effects,” Applied Probability and Statistics, Vol. 21, No. 4, 2005, pp. 366-374.

[9] N. Q. Feng, Y. H. Qiu, F. Wang, Y. S. Zhang and S. Q. Yin, “A Logic Analysis Model about Complex System’s Stability: Enlightenment from Nature,” Lecture Notes in Computer Science, Vol. 3644, 2005, pp. 828-838. doi:10.1007/11538059_86

[10] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, F. Wang and Y. He, “A Intelligent Inference Model about Complex System’s Stability: Inspiration from Nature,” International Journal of Intelligent Technology, Vol. 1, 2005, pp. 1-6.

[11] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, C. Z. Zhan and Z. G. Zheng, “A Logic Analysis Model of Stability of Complex System Based on Ecology,” Computer Science, Vol. 33, No. 7, 2006, pp. 213-216.

[12] Y. S. Zhang, “Data Analysis and Construction of Orthogonal Arrays,” East China Normal University, Shanghai, 2006.

[13] Y. S. Zhang, “Orthogonal Arrays Obtained by RepeatingColumn Difference Matrices,” Discrete Mathematics, Vol. 307, No. 2, 2007, pp. 246-261. doi:10.1016/j.disc.2006.06.029

[14] C. Y. Pan, X. P. Chen, Y. S. Zhang and S. S. Mao, “Logical Model of Five-Element Theory in Chinese Traditional Medicine,” Journal of Chinese Modern Traditional Chinese Medicine, Vol. 4, No. 3, 2008, pp. 193-196.

[15] X. P. Chen, W. J. Zhu, C. Y. Pan and Y. S. Zhang, “Multilateral System,” Chinese Journal of System Science, Vol. 17, No. 1, 2009, pp. 55-57.

[16] C. Luo and Y. S. Zhang, “Framework Definition and Partition Theorems Dealing with Complex Systems: One of the Series of New Thinking,” Journal of Shanghai Instituie of Thennolegy (Natural Science), Vol. 10, No. 2, 2010, pp. 109-114.

[17] C. Luo and Y. S. Zhang, “Framework and Orthogonal Arrays: The New Thinking of Dealing with Complex Systems Series Two,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 3, 2010, pp. 159163.

[18] X. D. Wang, Y. C. Tang, X. P. Chen and Y. S. Zhang, “Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-Dimensional Model Representation,” Communications in Statistics: Simulation and Computation, Vol. 39, No. 6, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[19] Research Center for Chinese and Foreign Celebrities and Developing Center of Chinese Culture Resources, “Chinese Philosophy Encyclopedia,” Shanghai People Press, Shanghai, 1994.

[20] J. Y. Liao, J. J. Zhang and Y. S. Zhang ,”Robust Parameter Design on Launching an Object to Goal,” Mathematics in Practice and Theory, Vol. 40, No. 24, 2010, pp 126-132

[21] C. Y. Pan; H. N. Ma; X. P. Chen and Y. S. Zhang, “Proof Procedure of Some Theories in Statistical Analysis of Global Symmetry,” Journal of East China Normal University (Natural Science), Vol. 142, No. 5, 2009, pp. 127137.

[22] X. Q. Zhang, Y. S. Zhang and S. S. Mao, “Statistical Analysis of 2-Level Orthogonal Satursted Designs: The Procedure of Searching Zero Effects,” Journal of East China Normal University (Natural Science), Vol. 24, No. 1, 2007, pp. 51-59.

[23] M.-J. Cheng, “Lao-Tzu, My Words Are Very Easy to Understand: Lectures on the Tao Teh Ching,” North Atlantic Books, Richmond, 1981.

[24] Lao-tzu, “Tao Te Ching,” 2010. http://acc6.its.brooklyn.cuny.edu

[25] Y. S. Zhang, W. G. Li, S. S. Mao and Z. G. Zheng, “Orthogonal Arrays Obtained by Generalized Difference Matrices with g Levels,” Science China Mathematics, Vol. 54, No. 1, 2011, pp. 133-143. doi:10.1007/s11425-010-4144-y

[26] J. T. Tian, Y. S. Zhang, Z. Q. Zhang, C. Y. Pan and Y. Y. Gan, “The Comparison and Application of Balanced Block Orthogonal Arrays and Orthogonal Arrays,” Journal of Mathematics in Practice and Theory, Vol. 39, No. 22, 2009, pp 59-67.

[27] C. Luo and C. Y. Pan, “Method of Exhaustion to Search Orthogonal Balanced Block Designs,” Chinese Journal of Applied Probability and Statistics, Vol. 27, No. 1, 2011, pp. 1-13.

[28] C. Luo, X. P. Chen and Y. S. Zhang, “The Turning Point Analysis of Finance Time Series,” Chinese Journal of Applied Probability and Statistics, Vol. 26, No. 4, 2010, pp. 437-442

[29] Y. S. Zhang, X. Q. Zhang and S. Y. Li “SAS Language Guide and Application,” Shanxi People’s Press, Shanxi, 2011.

[1] Y. S. Zhang, “Multilateral Matrix Theory,” Chinese Stat. Press, 1993. http://www.mlmatrix.com

[2] Y. S. Zhang, “Theory of Multilateral Systems,” 2007. http://www.mlmatrix.com

[3] Y. S. Zhang, S. Q. Pang, Z. M. Jiao and W. Z. Zhao, “Group Partition and Systems of Orthogonal Idempotents,” Linear Algebra and Its Applications, Vol. 278, No. 1-3, 1998, pp. 249-262.

[4] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, No. 2, 1999, pp. 595-604.

[5] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Mathematics, Vol. 238, No. 1-3, 2001, pp. 151170. doi:10.1016/S0012-365X(00)00421-0

[6] Y. S. Zhang, L. Duan, Y. Q. Lu and Z. G. Zheng, “Construction of Generalized Hadamard Matrices D(rm(r + 1), rm(r + 1); p),” Journal of Statistical Planning and Inference, Vol. 104, No. 2, 2002, pp. 239-258. doi:10.1016/S0378-3758(01)00249-X

[7] Y. S. Zhang and S. S. Mao, “The Origin and Development Philosophy Theory of Statistics,” Statistical Research, Vol. 12, 2004, pp. 52-59.

[8] Y. S. Zhang, S. S. Mao, C. Z. Zhan and Z. G. Zheng, “Stable Structure of the Logic Model with Two Causal Effects,” Applied Probability and Statistics, Vol. 21, No. 4, 2005, pp. 366-374.

[9] N. Q. Feng, Y. H. Qiu, F. Wang, Y. S. Zhang and S. Q. Yin, “A Logic Analysis Model about Complex System’s Stability: Enlightenment from Nature,” Lecture Notes in Computer Science, Vol. 3644, 2005, pp. 828-838. doi:10.1007/11538059_86

[10] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, F. Wang and Y. He, “A Intelligent Inference Model about Complex System’s Stability: Inspiration from Nature,” International Journal of Intelligent Technology, Vol. 1, 2005, pp. 1-6.

[11] N. Q. Feng, Y. H. Qiu, Y. S. Zhang, C. Z. Zhan and Z. G. Zheng, “A Logic Analysis Model of Stability of Complex System Based on Ecology,” Computer Science, Vol. 33, No. 7, 2006, pp. 213-216.

[12] Y. S. Zhang, “Data Analysis and Construction of Orthogonal Arrays,” East China Normal University, Shanghai, 2006.

[13] Y. S. Zhang, “Orthogonal Arrays Obtained by RepeatingColumn Difference Matrices,” Discrete Mathematics, Vol. 307, No. 2, 2007, pp. 246-261. doi:10.1016/j.disc.2006.06.029

[14] C. Y. Pan, X. P. Chen, Y. S. Zhang and S. S. Mao, “Logical Model of Five-Element Theory in Chinese Traditional Medicine,” Journal of Chinese Modern Traditional Chinese Medicine, Vol. 4, No. 3, 2008, pp. 193-196.

[15] X. P. Chen, W. J. Zhu, C. Y. Pan and Y. S. Zhang, “Multilateral System,” Chinese Journal of System Science, Vol. 17, No. 1, 2009, pp. 55-57.

[16] C. Luo and Y. S. Zhang, “Framework Definition and Partition Theorems Dealing with Complex Systems: One of the Series of New Thinking,” Journal of Shanghai Instituie of Thennolegy (Natural Science), Vol. 10, No. 2, 2010, pp. 109-114.

[17] C. Luo and Y. S. Zhang, “Framework and Orthogonal Arrays: The New Thinking of Dealing with Complex Systems Series Two,” Journal of Shanghai Institute of Technology (Natural Science), Vol. 10, No. 3, 2010, pp. 159163.

[18] X. D. Wang, Y. C. Tang, X. P. Chen and Y. S. Zhang, “Design of Experiment in Global Sensitivity Analysis Based on ANOVA High-Dimensional Model Representation,” Communications in Statistics: Simulation and Computation, Vol. 39, No. 6, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[19] Research Center for Chinese and Foreign Celebrities and Developing Center of Chinese Culture Resources, “Chinese Philosophy Encyclopedia,” Shanghai People Press, Shanghai, 1994.

[20] J. Y. Liao, J. J. Zhang and Y. S. Zhang ,”Robust Parameter Design on Launching an Object to Goal,” Mathematics in Practice and Theory, Vol. 40, No. 24, 2010, pp 126-132

[21] C. Y. Pan; H. N. Ma; X. P. Chen and Y. S. Zhang, “Proof Procedure of Some Theories in Statistical Analysis of Global Symmetry,” Journal of East China Normal University (Natural Science), Vol. 142, No. 5, 2009, pp. 127137.

[22] X. Q. Zhang, Y. S. Zhang and S. S. Mao, “Statistical Analysis of 2-Level Orthogonal Satursted Designs: The Procedure of Searching Zero Effects,” Journal of East China Normal University (Natural Science), Vol. 24, No. 1, 2007, pp. 51-59.

[23] M.-J. Cheng, “Lao-Tzu, My Words Are Very Easy to Understand: Lectures on the Tao Teh Ching,” North Atlantic Books, Richmond, 1981.

[24] Lao-tzu, “Tao Te Ching,” 2010. http://acc6.its.brooklyn.cuny.edu

[25] Y. S. Zhang, W. G. Li, S. S. Mao and Z. G. Zheng, “Orthogonal Arrays Obtained by Generalized Difference Matrices with g Levels,” Science China Mathematics, Vol. 54, No. 1, 2011, pp. 133-143. doi:10.1007/s11425-010-4144-y

[26] J. T. Tian, Y. S. Zhang, Z. Q. Zhang, C. Y. Pan and Y. Y. Gan, “The Comparison and Application of Balanced Block Orthogonal Arrays and Orthogonal Arrays,” Journal of Mathematics in Practice and Theory, Vol. 39, No. 22, 2009, pp 59-67.

[27] C. Luo and C. Y. Pan, “Method of Exhaustion to Search Orthogonal Balanced Block Designs,” Chinese Journal of Applied Probability and Statistics, Vol. 27, No. 1, 2011, pp. 1-13.

[28] C. Luo, X. P. Chen and Y. S. Zhang, “The Turning Point Analysis of Finance Time Series,” Chinese Journal of Applied Probability and Statistics, Vol. 26, No. 4, 2010, pp. 437-442

[29] Y. S. Zhang, X. Q. Zhang and S. Y. Li “SAS Language Guide and Application,” Shanxi People’s Press, Shanxi, 2011.