How Long to Read The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics

How Long Does it Take to Read The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics?

It takes the average reader 3 hours and 13 minutes to read The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics by James D Louck

Assuming a reading speed of 250 words per minute. Learn more

Description

This monograph develops chaos theory from properties of the graphs inverse to the parabolic map of the interval [0, 2], where the height at the midpoint x = 1 may be viewed as a time-like parameter, which together with the x-coordinate, provide the two parameters that uniquely characterize the parabola, and which are used throughout the monograph. There is only one basic mathematical operation used: function composition. The functions studied are the n-fold composition of the basic parabola with itself. However, it is the properties of the graph inverse to this n-fold composition that are the objects whose properties are developed. The reflection symmetry of the basic parabola through the vertical line x = 1 gives rise to two symmetry classes of inverse graphs: the inverse graphs and their conjugates. Quite remarkably, it turns out that there exists, among all the inverse graphs and their conjugates, a completely deterministic class of inverse graphs and their conjugates. Deterministic in the sense that this class is uniquely determined for all values of the time-like parameter and the x-coordinate, the entire theory, of course, being highly nonlinear — it is polynomial in the time-like parameter and in the x-coordinate. The deterministic property and its implementation are key to the argument that the system is a complex adaptive system in the sense that a few axioms lead to structures of unexpected richness. This monograph is about working out the many details that advance the notion that deterministic chaos theory, as realized by a complex adaptive system, is indeed a new body of mathematics that enriches our understanding of the world around us. But now the imagination is also opened to the possibility that the real universe is a complex adaptive system. * deceased Contents:Introduction and Point of ViewRecursive ConstructionDescription of Events in the Inverse GraphThe (1+1)-Dimensional Nonlinear UniverseThe Creation TableGraphical Presentation of MSS RootsGraphical Presentation of Inverse Graphs Readership: Post-graduates from mathematics and physics backgrounds, mathematics and physics professionals with an interest in astrophysics. Key Features:There exists a unique inverse graph. This unique graph can be constructed from a simple algorithmThe concept of a deterministic inverse graph and its relationship to complex adaptive systems is newThis monograph is of general value to readers because it illustrates nicely that research in new methodologies in Mathematics can lead to new insights in PhysicsKeywords:Mathematical Models;Inverse Graph;Chaos Theory;Function Composition;Creation of Fixed Points;Creation Diagram;Unique Theory;Complex Adaptive Systems;Context and Models;Applications to Weather Patterns;Potential Application to General RelativityReviews: “It is intended for readers with a perchance for the unusual and unexpected.” Zentralblatt MATH

How long is The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics?

The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics by James D Louck is 192 pages long, and a total of 48,384 words.

This makes it 65% the length of the average book. It also has 59% more words than the average book.

How Long Does it Take to Read The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics Aloud?

The average oral reading speed is 183 words per minute. This means it takes 4 hours and 24 minutes to read The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics aloud.

What Reading Level is The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics?

The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics?

The (1+1)-Nonlinear Universe of the Parabolic Map and Combinatorics by James D Louck is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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