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Fractals and Fractional Calculus in Continuum Mechanics

Posted By: AvaxGenius
Date: 18 Sep 2023 04:10:32
Fractals and Fractional Calculus in Continuum Mechanics

Fractals and Fractional Calculus in Continuum Mechanics by A. Carpinteri, F. Mainardi
English | PDF | 1997 | 352 Pages | ISBN : 321182913X | 33.9 MB

The book is characterized by the illustration of cases of fractal, self-similar and multi-scale structures taken from the mechanics of solid and porous materials, which have a technical interest. In addition, an accessible and self-consistent treatment of the mathematical technique of fractional calculus is provided, avoiding useless complications.
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Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions (Repost)

Posted By: AvaxGenius
Date: 23 Mar 2023 12:18:37
Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions (Repost)

Fractal Geometry and Number Theory: Complex Dimensions of Fractal Strings and Zeros of Zeta Functions by Michel L. Lapidus , Machiel Frankenhuysen
English | PDF | 2000 | 277 Pages | ISBN : 0817640983 | 21.76 MB

A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo­ metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di­ mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string.
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Grammatical Picture Generation: A Tree-Based Approach

Posted By: AvaxGenius
Date: 11 Jan 2021 13:59:11
Grammatical Picture Generation: A Tree-Based Approach

Grammatical Picture Generation: A Tree-Based Approach by Frank Drewes
English | PDF (True) | 2006 | 480 Pages | ISBN : 354021304X | 55.7 MB

This book introduces the reader to the notions, the techniques, and the theory of grammatical picture generation, a research field focusing on formal systems that describe sets of pictures by means of syntactic rules.
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