Refined Definitions in Real Numbers and Vectors and Proof of Field Theories
Pure and Applied Mathematics Journal
Volume 4, Issue 3, June 2015, Pages: 75-79
Received: Apr. 7, 2015; Accepted: Apr. 14, 2015; Published: Apr. 24, 2015
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Author
Edward T. H. Wu, DaVinci International Academy, Los Angeles, USA
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Abstract
A set of new and refined principles and definitions in Real Numbers and Vectors are presented. What is a Vector? What is the meaning of the Addition of two Vectors? What is a Real Number? What is the meaning of their signs? What is the meaning of the Addition of two Real Numbers? What is the Summation Principle in Addition Operation? What is the Cancellation Principle in Addition Operation? What is the Meaning of the Multiplication of two Real Numbers? Is Field Theory a law? Can it be proved? All these issues are addressed in this paper. With better pictures and graphical presentations, proof of Field Theories in Real Numbers and Vectors including Commutativity, Associativity and Distributivity are also proposed.
Keywords
Vector, Real Number, Number Line, Number Vector, Number Plane, Number Space, Summation Principle, Cancellation Principle, Field Theory, Commutativity, Associativity, Distributivity
To cite this article
Edward T. H. Wu, Refined Definitions in Real Numbers and Vectors and Proof of Field Theories, Pure and Applied Mathematics Journal. Vol. 4, No. 3, 2015, pp. 75-79. doi: 10.11648/j.pamj.20150403.13
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