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.
| Published in | Pure and Applied Mathematics Journal (Volume 4, Issue 3) |
| DOI | 10.11648/j.pamj.20150403.13 |
| Page(s) | 75-79 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2015. Published by Science Publishing Group |
Vector, Real Number, Number Line, Number Vector, Number Plane, Number Space, Summation Principle, Cancellation Principle, Field Theory, Commutativity, Associativity, Distributivity
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| [3] | http://en.wikipedia.org/wiki/Vector_calculus. |
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| [5] | Howie, John M., Real Analysis, Springer, 2005, ISBN 1-85233-314-6. |
| [6] | http://en.wikipedia.org/wiki/Real_number. |
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| [9] | http://en.wikipedia.org/wiki/Field_(mathematics) |
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APA Style
Edward T. H. Wu. (2015). Refined Definitions in Real Numbers and Vectors and Proof of Field Theories. Pure and Applied Mathematics Journal, 4(3), 75-79. https://doi.org/10.11648/j.pamj.20150403.13
ACS Style
Edward T. H. Wu. Refined Definitions in Real Numbers and Vectors and Proof of Field Theories. Pure Appl. Math. J. 2015, 4(3), 75-79. doi: 10.11648/j.pamj.20150403.13
AMA Style
Edward T. H. Wu. Refined Definitions in Real Numbers and Vectors and Proof of Field Theories. Pure Appl Math J. 2015;4(3):75-79. doi: 10.11648/j.pamj.20150403.13
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Download@article{10.11648/j.pamj.20150403.13,
author = {Edward T. H. Wu},
title = {Refined Definitions in Real Numbers and Vectors and Proof of Field Theories},
journal = {Pure and Applied Mathematics Journal},
volume = {4},
number = {3},
pages = {75-79},
doi = {10.11648/j.pamj.20150403.13},
url = {https://doi.org/10.11648/j.pamj.20150403.13},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.pamj.20150403.13},
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.},
year = {2015}
}
TY - JOUR T1 - Refined Definitions in Real Numbers and Vectors and Proof of Field Theories AU - Edward T. H. Wu Y1 - 2015/04/24 PY - 2015 N1 - https://doi.org/10.11648/j.pamj.20150403.13 DO - 10.11648/j.pamj.20150403.13 T2 - Pure and Applied Mathematics Journal JF - Pure and Applied Mathematics Journal JO - Pure and Applied Mathematics Journal SP - 75 EP - 79 PB - Science Publishing Group SN - 2326-9812 UR - https://doi.org/10.11648/j.pamj.20150403.13 AB - 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. VL - 4 IS - 3 ER -
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