Mathematical Reasoning of Economic Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (I)

Affiliation(s)

No. 2 Middle School of East China Normal University, Shanghai, China.

School of Finance and Statistics, East China Normal University, Shanghai, China.

No. 2 Middle School of East China Normal University, Shanghai, China.

School of Finance and Statistics, East China Normal University, Shanghai, China.

ABSTRACT

By using mathematical reasoning, this paper demonstrates the economic intervening 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” based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (TCE). We defined generalized relations and generalized reasoning, introduced the concept of steady multilateral systems with two non-compatibility relations, and discussed its energy properties. Later based on the intervening principle of TCE and treated the economic society as a steady multilateral system, it has been proved that the intervening principle above is true. The kernel of this paper is the existence and reasoning of the non-compatibility relations in steady multilateral systems, and it accords with the oriental thinking model.

Cite this paper

Z. Zhang and Y. Zhang, "Mathematical Reasoning of Economic Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (I),"*Modern Economy*, Vol. 4 No. 2, 2013, pp. 130-144. doi: 10.4236/me.2013.42016.

Z. Zhang and Y. Zhang, "Mathematical Reasoning of Economic Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Economics (I),"

References

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

[3] Y. S. Zhang, “Mathematical Reasoning of Treatment Principle Based on ‘Yin Yang Wu Xing’ Theory in Traditional Chinese Medicine,” Chinese Medicine, Vol. 2, No. 1, 2011, pp. 6-15. doi:10.4236/cm.2011.21002

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[6] Y. S. Zhang and W. L. Shao, “Image Mathematics— Mathematical Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Mathematics (I),” Applied Mathematics, Vol. 3 No. 6, 2012, pp. 617-636. doi:10.4236/am.2012.36096

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[8] 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

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[11] C. Luo, X. L. Zhang and Y. S. Zhang, “Symmetrical Frame Isomorphism Class Count-the new thinking of dealing with complex systems series eight,” Journal of Shanghai Institute of Technology (Natural Science) Vol. 11, No. 3, 2011, pp. 253-261.

[12] 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

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[24] 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. 127-137.

[25] 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.

[26] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, 1999, pp. 595-604.

[27] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Math, Vol. 238, No. 1-3, 2001, pp. 151-170. doi:10.1016/S0012-365X(00)00421-0

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

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

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

[31] 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,” Communication in Statistics: Simulation and Computation, Vol. 39, No. 6, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[32] X. D. Wang, Y. C. Tang and Y. S. Zhang, “Orthogonal Arrays for the Estimation of Global Sensitivity Indices Based on ANOVA High-Dimensional Model Representation,” Communication in Statistics: Simulation and Computation, Vol. 40, No. 9, 2011, pp. 1324-1341. doi:10.1080/03610918.2011.575500

[33] 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.

[34] 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.

[35] 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

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

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

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

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

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

[3] Y. S. Zhang, “Mathematical Reasoning of Treatment Principle Based on ‘Yin Yang Wu Xing’ Theory in Traditional Chinese Medicine,” Chinese Medicine, Vol. 2, No. 1, 2011, pp. 6-15. doi:10.4236/cm.2011.21002

[4] Y. S. Zhang, “Mathematical Reasoning of Treatment Principle Based on ‘Yin Yang Wu Xing’ Theory in Traditional Chinese Medicine(II),” Chinese Medicine, Vol. 2, No. 4, 2012, pp. 158-170.

[5] Y. S. 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. 6-15.

[6] Y. S. Zhang and W. L. Shao, “Image Mathematics— Mathematical Intervening Principle Based on “Yin Yang Wu Xing” Theory in Traditional Chinese Mathematics (I),” Applied Mathematics, Vol. 3 No. 6, 2012, pp. 617-636. doi:10.4236/am.2012.36096

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

[8] 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

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

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

[11] C. Luo, X. L. Zhang and Y. S. Zhang, “Symmetrical Frame Isomorphism Class Count-the new thinking of dealing with complex systems series eight,” Journal of Shanghai Institute of Technology (Natural Science) Vol. 11, No. 3, 2011, pp. 253-261.

[12] 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

[13] 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 Joural of Intelligent Technique, Vol. 1, 2005, pp. 1-6.

[14] 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.

[15] 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.

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

[17] 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 Institute of Technology (Natural Science), Vol. 10, No. 2, 2010, pp. 109-114.

[18] 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. 159-163.

[19] 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.

[20] 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.

[21] J. L. Zhao and Y. S. Zhang, “The Characteristic Description of Idempotent Orthogonal Class System,” Advances in Matrix Theory and Its Applications, Proceedings of the Eighth International Conference on Matrix and Its Applications, World Academic Press, Taiyuan, Vol. 1, No. 1, 2008, pp. 445-448

[22] X. P. Chen, C. Y. Pan and Y. S. Zhang, “Partitioning the Multivariate Function Space into Symmetrical Classes,” Mathematics in Practice and Theory, Vol. 39, No. 2, 2009, pp. 167-173.

[23] C. Y. Pan, X. P. Chen and Y. S. Zhang, “Construct Systems of Orthogonal Idempotents,” Journal of East China University (Natural Science), Vol. 141, No. 5, 2008, pp. 51-58.

[24] 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. 127-137.

[25] 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.

[26] Y. S. Zhang, Y. Q. Lu and S. Q. Pang, “Orthogonal Arrays Obtained by Orthogonal Decomposition of Projection Matrices,” Statistica Sinica, Vol. 9, 1999, pp. 595-604.

[27] Y. S. Zhang, S. Q. Pang and Y. P. Wang, “Orthogonal Arrays Obtained by Generalized Hadamard Product,” Discrete Math, Vol. 238, No. 1-3, 2001, pp. 151-170. doi:10.1016/S0012-365X(00)00421-0

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

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

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

[31] 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,” Communication in Statistics: Simulation and Computation, Vol. 39, No. 6, 2010, pp. 1183-1195. doi:10.1080/03610918.2010.484122

[32] X. D. Wang, Y. C. Tang and Y. S. Zhang, “Orthogonal Arrays for the Estimation of Global Sensitivity Indices Based on ANOVA High-Dimensional Model Representation,” Communication in Statistics: Simulation and Computation, Vol. 40, No. 9, 2011, pp. 1324-1341. doi:10.1080/03610918.2011.575500

[33] 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.

[34] 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.

[35] 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

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

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

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