• Prof. Linfan Mao
  • Prof. Linfan Mao
  • Chinese Academy of Mathematics and System Science, China
  • Abstract: There are 2 contradictory views on our world, i.e., continuous or discrete, which results in that only partially reality of a thing T can be understood by one of continuous or discrete mathematics because of the universality of contradiction and the connection of things in the nature, just as the philosophical meaning in the fable of the blind men with an elephant. Holding on the reality of natural things motivates the combination of continuous mathematics with that of discrete, i.e., an envelope theory called mathematical combinatorics which extends classical mathematics over topological graphs because a thing is nothing else but a multiverse over a spacial structure of graphs with conservation laws hold on its vertices. Such a mathematical object is said to be an action flow. The main purpose of this report is to introduce the powerful role of action flows to mathematics with applications to physics, biology and other sciences, such as those of extended Banach or Hilbert G -flow spaces, geometry on action flows or non-solvable systems of solvable differential equations with global stability, · · ·, and with applications to, for examples, the understanding of particles, the spacetime and population biology. All of these makes it clear that holding on the reality of things by classical mathematics is only on the coherent behaviors of things for its homogenous without contradictions, but the mathematics over graphs G is applicable for contradictory systems over G because contradiction is universal in the eyes of human beings but not the nature of a thing itself. 
    Key Words: Graph, Banach space, Smarandache multispace, G -flow, observation, natural reality, non-solvable equation, mathematical combinatorics.
    AMS(2010): 03A10,05C15,20A05, 34A26,35A01,51A05,51D20,53A35.
  • Biography: Linfan Mao is a researcher of Chinese Academy of Mathematics and System Science, a vice-president, also a chief professor of China Academy of Urban Governance, the president of Academy of Mathematical Combinatorics with Applications (AMCA, USA), an adjunct professor of Beijing University of Civil Engineering and Architecture, and the editor-in-chief of International J.Mathematical Combinatorics (ISSN 1937-1055). He got his Ph.D in Northern Jiaotong University in 2002 and finished his postdoctoral report for Chinese Academy of Sciences in 2005. His research interest is mainly on mathematical combinatorics and Smarandache multi-spaces with applications to sciences, includes combinatorics, graph theory, algebra, topology, geometry, differential equations, interaction system, biological mathematics, theoretical physics, parallel universe and economy. Now he has published more than 80 papers and 9 books on mathematics and engineering management on these fields, such as those of Automorphism Groups of Maps, Surfaces and Smarandache Geometries, Combinatorial Geometry with Applications to Field Theory and Smarandache Multi-Space Theory, 3 books in mathematics by The Education Publisher Inc. of USA in 2011, Theory and Practice in Construction Project Bidding \& Purchase by American Research Press in 2007, The Foundation of Bidding Theory and The Provisions of Clauses of the Law on Tendering and Bidding of P.R.China with Cases Analysis in Chinese by China Architecture & Building Press in 2013, and famous papers, such as those of Combinatorial Speculation and Combinatorial Conjecture for Mathematics, Mathematics on Non-mathematics on International J.Mathematical Combinatorics respectively in 2007 and 2014, and Mathematics with Natural Reality – Action Flows on Bulletin of Calcutta Mathematical Society in 2015, an established journal of more than 100 years.
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April 18-20, 2017
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March 15, 2017
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