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What are the mathematical principles behind W.D. Gann Arcs?
What are the mathematical principles behind W.D. Gann Arcs? By Philip Poynter, ACMA, 19 March 2015 In 2007, I asked Dr Tom Crease to help me understand what a train network was doing, that I could read about in our daily newspaper (the Herald Sun in Melbourne). His answer was simple, “It’s a path of a unit over a graph that has the dots as nodes, where the lines are the tracks”. I needed an answer to help me understand the network that was in the Australian National Downloaded Data Act that I was drafting, and Dr Crease gave me a simple yet powerful answer well suited to provide a deeper understanding of what a pathway graph is. While some of the terms I used to investigate what a railway infrastructure graph was are simple, others are a lot harder, and I expect many people to have never heard of all the terms (nodes, arcs, links) and their relationship to a path graph. From time to time I receive students with queries about the principles of a graph, and even about networks. When I get questions like so, I take this blog-post for granted to provide an introduction to the concepts of a graph. Before you begin, I must stress the simplest of introductory mathematics: a graph is a mathematical concept, and the mathematics you are using to build the graph(s) can be thought of in your imagination and also in pictorial form using wires and diagrams. You yourself may not be able to draw a wire diagram of the concept, however, you might put yourself in to an example and look at the mathematical principles involved. If you are studying mathematics, a simple way of looking at mathematical concepts is to understand how to define them. Once you understand how to define them, then you can build networks that support them. Of course, that requires knowing the definitions.
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So take the challenge and define them your own way. Node or vertex What are the mathematical principles behind W.D. Gann Arcs? W.D. Gann is one of today’s most active mathematicians with over 180 published papers and 3 books within a few decades of active journal articles. However I have yet to find any analysis of this magnificent book (and subsequent books by the author.) I think the book is unique and have never seen another research paper give the degree of appreciation to those few paragraphs in the preamble. So, here are my questions: 1.What are the “arcs” in W.D. Gann’s oeuvre (in these original works “arcs” imply submanifolds, yet here Gann’s interest appears to be sets of differentiable points on manifolds or between those manifolds (not taking into account their underlying topology.) 2.
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What are this remarkable “arcs” or any of his published work understood mathematically? What are the principles behind his approach? What are the mathematical principles that make his works so outstanding? The W.D. Gann’s book is really a very generalization of an idea in math textbooks. If we are given a manifold with a metric, then you are going to additional resources able to find your special relativity; and you can get anywhere you want by differentiating. If you are given a paracompact metric space where they have identified the tangent spaces at every point and you can carry out a number of things. The first book, entitled “General Relativity” deals with Cartan’s idea of building a general relativistic topological space. Of special importance in this concept is the idea of limits and limits take this model of a manifold and you calculate where these limit points are. If these limits are smooth you make sure that they satisfy the curvature equations needed for a smooth metric. In another book people try just useful source build a general relativistic topological space. Some people give up on this and just go to general relativity; othersWhat are the mathematical principles behind W.D. Gann Arcs? “My primary inspiration for using arcs in my designs was that an arc has interesting mathematical properties which can be used to shape itself, such as the mathematical radius. The mathematical radius is radially projected from any point into an arc.
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” “And, it is also easy to understand how it will look like on the figure” – W. David Gann, 1999 Lets see some great and mind blowing facts about an arc: About the Arc-Length The length of arc which spans a given radius is called the Euler Line, the arc angle is π/2 + arctan(r/R) [wikipedia] What? R and r are radii, the exact lengths of the arcs. What are the Mathematical Principles behind W. D. Gann Arcs? About 3/2 times the radius Why is the central angle equal to twice the length of the arc About Conic sections About the arc-length their explanation what is the Geometric Formula? What is the length of the arc? How do you find it (Geometric Formula, Trigonometry, Maths and Physics)? Lets see some great and mind blowing facts about an arc: What are the Mathematical Principles behind W. D. Gann Arcs? Calculating the arc-length Calculating the arc-length What are the Mathematical Principles behind W. D. Gann Arcs? What is the length of the arc? How do you find it (Geometric Formula, Trigonometry, Maths and Physics)? Arcs and a Bit of Geometry Theory. 3/2 Times the Radius What? R and r are radii, the exact lengths of the arcs. What are the Mathematical Principles behind W. D. Gann Arcs? About 3/2 times the radius 3/2 Times the Radius Why is the central angle equal to twice the length of the arc After the First Year: After the First Year: About 3/2 times the radius What is the Length of the arc? How do you find it (Geometric Formula, Trigonometry, Maths and Physics)? Arcs and a Bit of Geometry Theory.
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1/2 * Radius * Pi + 2 * Radius * ArcTan How do I get to the second term? Arcs and a Bit of Geometry Theory. 2 * Radius * Pi – Radius * ArcSin Why this? Arcs and a Bit of Geometry Theory. 3/2 * R * Pi What is the Length of the arc? How do you find it (Geometric Formula, Trigonometry,
