Pure and Applied Mathematics Journal

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Volume 7, Issue 3, June 2018

  • Mathematics Journal: Division of Zero by Itself - Division of Zero by Itself Has Unique Solution

    Wangui Patrick Mwangi

    Issue: Volume 7, Issue 3, June 2018
    Pages: 20-36
    Received: 17 April 2018
    Accepted: 14 May 2018
    Published: 8 August 2018
    DOI: 10.11648/j.pamj.20180703.11
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    Abstract: The division by zero has been a challenge over years, which is in two forms: one involves a non-zero numerator while the other involves a zero numerator. This work deals with the second form of division, with the aim of finding a solution to the equation obtained when the expression is equated to, say x, where x is not a quantity but the ‘number of... Show More
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  • Entropy-Like State Counting Leads to Human Readable Four Color Map Theorem Proof

    Robert Luckett Shuler Jr.

    Issue: Volume 7, Issue 3, June 2018
    Pages: 37-44
    Received: 24 August 2018
    Accepted: 7 September 2018
    Published: 28 September 2018
    DOI: 10.11648/j.pamj.20180703.12
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    Abstract: The problem of how many colors are required for a planar map has been used as a focal point for discussions of the limits of human direct understanding vs. automated methods. It is important to continue to investigate until it is convincingly proved map coloration is an exemplary irreducible problem or until it is reduced. Meanwhile a new way of th... Show More
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