THE OBELUS SET THEORY OF EQUITY DISTRIBUTION
...A Paradigm Shift in the Logics and Symbolic Representations of Sharing Interactions
by
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The lack of comprehensive representation of the process of sharing leads to arithmetic conundrums such as infinity, undefined and indeterminate forms. This book, 'The Obelus Set Theory of Equity Distributions' reveals the universality of sharing interactions as processes of basic arithmetic division. It allows for a wholistic analysis under equity distribution. The physically-flavoured and meaningful end results are derieved through congenial and realistic qualitative and quantitative analysis. The formalization of the mathematics of distributional sets namely distributum (items for distribution), distribient (or recipients) and the surrogate sets via the law of equity distributions allows for an extremely good understanding for myraid mathematical conumdrums. Some of the rewarding consequences encapsulated by this evolved wholistic approch to universal sharing interactions outlined in this book includes distribution density, abstract field axioms, law of equity distribution, distributive and non-distributive numbers, set surrogation, set resonance, unit donor principle, propensity (which is a measure of natural inclination towards a particular action), mapping statistics, the continuum hypothesis, point continuum, analysis of pi, the concept of redistribution, hypo and hyper-distributions and set resonance equilibrium. In order to show the ease of direct application of the novel concept(s) and principles revealed in this book, one of the basics of marketing mix, that is distribution channels, is analysed. Here, the concepts of universal linear distributions and marginal distribution allow for an excellent way to both micro and macro-manage distribution processes as a whole. In general, the managerial processes outlined can be well adopted for other practical scenarios in many major disciplines including accounting/finance, economics, education and weather forcasting. Finally, from a theoretical perspective, the concepts of the fundamental process of sharing are used as a means to provide a simple solution to a very fundamental question in computer science namely the search for a proof of equality or non-equality between the class of P and NP class. It turned out that P is equal to NP!
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About the Book
The interactive process of sharing can be represented by the arithmetic operation commonly called division. It involves the separation of an object into two or more parts. When subjected to quantitative and qualitative analysis under a condition of equity distribution, the process of sharing does indeed result in an outcome that is not only realistic but also natural to understand. Unfortunately, the contemporary quasi-analytic approach to division yields disreputable and tainted groundwork arithmetical bugs which invariably trigger when stirred up by cut-off point situations such as division by zero. Hitherto, such mathematical challenges have been abruptly avoided by helplessly representing them as infinity, indeterminate or undefined. However, in light of the natural and realistic analysis provided in this book, The Obelus Set Theory of Equity Distribution, such underpinning conundrums in mathematics are very well understood. Consequently, the ruins of the foundation of the world of mathematics become even more rewarding! Some of the significant outcomes of the mathematical sedimentation encapsulated by the new concepts provided in this book are: ● Distribution Density ● Set Resonance Equilibrium ● Law of Equity Distribution ● Mapping Statistics ● Non-Distributive Numbers ● Continuum Hypothesis ● Distributive Numbers ● Point Continuum ● Abstract Field Axioms ● Analysis of Pi ● Redistribution ● Hypo-Hyper Distributions ● Set Surrogation ● Universal Linear Distributions ● Propensity ● Marginal Distribution ● Unit Donor Principle ● Distribution Channels Analysis ● Set Resonance ● P Class versus NP Class It is generally hoped that these essential basic ramifications would lead to other important macrosolutions in the future.