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As numerical methods have a wide range of applications in science and engineering, the idea of the design of such numerical methods based on non-Newtonian calculus is self-evident. Surprisingly, their time evolution can be analyzed by employing a non-Newtonian calculus ..." - Wojbor Woyczynski, Case Western Reserve University, USA; from an abstract to his 2013 seminar "Fractional cal...

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# Month: March 2011

# Fractal Architecture: Knowledge formation within and between

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Can they be propositional, deductive and analytical logics (henceforth called ‘conventional’ logics) that appear to be unwittingly orienting my actions as a teacher and teacher educator? But too often we seem to miss the fundamental lesson: today's abstractions become tomorrow's applications." - Lynn Arthur Steen, from his address "Mathematics: Our Invisible Culture" at a symposium at...

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# Fractal Cross Stitch Pattern: Design No. 5216

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Furthermore, in the geometric calculus and in the bigeometric calculus, the derivative and integral are both multiplicative. (Please see the Multiplicative Calculus section of this website.) Of course, in the classical calculus the linear functions are the functions having a constant derivative. The six books on non-Newtonian calculus and related matters by Jane Grossman, Micha...

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# Ocean Bottom Simulation Using Fractal Geometry

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It says that for every map, only four colours are needed to colour countries in such a way that no two countries that have a common border receive the same color. In the "sys/" folder there is also the header file defining the correct data types so that the code works both in 32 and 64 bit compilers/machines. Credit cannot be obtained for both Math. 140A-B and 142A-B. What happens t...

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# Fractals in Music: Introductory Mathematics for Musical

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The "problem" might be to find the triangle with the most area, the areas of triangles with integer sides, or a triangle with area numerically equal to the perimeter. Liu, Robust Stability Analysis of Guaranteed Cost Control for Impulsive Switched Systems, IEEE Transactions on Systems, Man, and Cybernetics - Cybernetics, Vol. 38, pp. 1419-1422, 2008. An algebraic expression consists...

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# Science Fiction Fractal (200 Page Lined Journal): Blank 200

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A self-guided driving tour of the area takes visitors to more than 40 schools, libraries, and other sites that played a key role in the story of civil rights in education. In this paper, the well-known Runge-Kutta method for ordinary differential equations is developed in the frameworks of non-Newtonian calculus given in generalized form and then tested for different generatin...

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# Chaos and Fractals: Hao Bailin. Popular Science Collection

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Fractmus: Fractal Music Composition Software. We derived the iterative method by using the first-order approximation based on the geometric multiplicative calculus applied to the differential equation." To fix this, set the correct time and date on your computer. D., �Closeness of gamma and generalized exponential distribution�, Comm. From the book: "The multiplicative calculus al...

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# Fractal Art

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My psychiatrists and psychologist have been invaluable. In this talk, we'll discuss three real court cases, which involved different types of statistical reasoning. Fractals are infinitely complex patterns that are self-similar across different scales. Prerequisites: Math. 181A, 181B previously or concurrently. This is just one example of error correction at work. He was a...

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# The Structure of Functions

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But too often we seem to miss the fundamental lesson: today's abstractions become tomorrow's applications." - Lynn Arthur Steen, from his address "Mathematics: Our Invisible Culture" at a symposium at Dickinson College in Pennsylvania in September of 1985. "As an answer to those who are in the habit of saying to every new fact, 'What is its use?', [Benjamin] Franklin says, 'What...

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# Nonlinear Workbook: Chaos, Fractals, Cellular Automata,

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Their remarkable findings are deepening our understanding of nature and stimulating a new wave of scientific, medical, and artistic innovation stretching from the ecology of the rain forest to fashion design. The meta-calculi can be used for financial-investment analysis, and are discussed in our book Meta-Calculus: Differential and Integral (1981). Finally, view the figure from the...

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