Tag: Fractal

Free Download Transient Effects in Friction: Fractal Asperity Creep By Andreas Goedecke (auth.)
2013 | 197 Pages | ISBN: 3709115051 | PDF | 6 MB
Transient friction effects determine the behavior of a wide class of mechatronic systems. Classic examples are squealing brakes, stiction in robotic arms, or stick-slip in linear drives. To properly design and understand mechatronic systems of this type, good quantitative models of transient friction effects are of primary interest. The theory developed in this book approaches this problem bottom-up, by deriving the behavior of macroscopic friction surfaces from the microscopic surface physics. The model is based on two assumptions: First, rough surfaces are inherently fractal, exhibiting roughness on a wide range of scales. Second, transient friction effects are caused by creep enlargement of the real area of contact between two bodies. This work demonstrates the results of extensive Finite Element analyses of the creep behavior of surface asperities, and proposes a generalized multi-scale area iteration for calculating the time-dependent real contact between two bodies. The toolset is then demonstrated both for the reproduction of a variety of experimental results on transient friction as well as for system simulations of two example systems.

Free Download Geometric Modeling of Fractal Forms for CAD by Christian Gentil, Gilles Gouaty, Dmitry Sokolov
English | May 11, 2021 | ISBN: 1786300400 | True EPUB | 256 pages | 21.5 MB
Designing and controlling complex shapes like porous volumes and rough surfaces is a challenge. Fractal geometry is an interesting approach which considerably simplify the problem. Even though underlying concepts reduce the set possible shapes, they generate a surprising variety of shapes.

Free Download Advanced Fractal Graph Theory and Applications
English | 2025 | ISBN: 103276810X | 265 Pages | PDF EPUB (True) | 31 MB
This book explores the dynamic interplay between fractals and graph theory, two powerful mathematical tools with vast applications. It presents a strategic combination and the synergistic use of these disciplines to address real-world problems and challenges. The book begins with an introduction to the basic concepts of fractals and graph theory and goes on to explore the applications in various domains, including natural phenomena modeling, scheduling, and network optimisation.

Free Download Fractional and Fractal Derivative Models for Anomalous Sediment Transport
by HongGuang Sun, Zhipeng Li, Shiqian Nie
English | 2025 | ISBN: 3111348768 | 194 pages | True PDF EPUB | 30.1 MB

Free Download Fractal Geometry in Architecture and Design By Carl Bovill (auth.)
1996 | 195 Pages | ISBN: 1461269180 | PDF | 9 MB
na broad sense Design Science is the grammar of a language of images Irather than of words. Modern communication techniques enable us to transmit and reconstitute images without needing to know a specific verbal sequence language such as the Morse code or Hungarian. International traffic signs use international image symbols which are not specific to any particular verbal language. An image language differs from a verbal one in that the latter uses a linear string of symbols, whereas the former is multi dimensional. Architectural renderings commonly show projections onto three mutual ly perpendicular planes, or consist of cross sections at different altitudes capa ble of being stacked and representing different floor plans. Such renderings make it difficult to imagine buildings comprising ramps and other features which disguise the separation between floors, and consequently limit the cre ative process of the architect. Analogously, we tend to analyze natural struc tures as if nature had used similar stacked renderings, rather than, for instance, a system of packed spheres, with the result that we fail to perceive the system of organization determining the form of such structures. Perception is a complex process. Our senses record; they are analogous to audio or video devices. We cannot, however, claim that such devices perceive.

Free Download Lectures on Fractal Geometry
English | 2024 | ISBN: 9811283338 | 149 Pages | PDF (True) | 10 MB
This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extensions of some basic results from the literature to more general metric spaces.

Free Download UNITY: 10 Games | Fractal | Meshes | Rendering | Noise | Voxel
EDUCBA | Duration: 73:22 h | Video: HVC1 1280×720 | Audio: AAC 48 kHz 2ch | 20,8 GB | Language: English
Master Unity and unleash your creativity to build captivating games from scratch, equipped with the industry insights
Welcome to the comprehensive Unity Game Development Masterclass! This course is designed to equip you with the knowledge and skills needed to become a proficient game developer using Unity, one of the most popular game engines in the industry. Whether you’re a complete beginner or an experienced developer looking to expand your skill set, this course will guide you through the fundamentals and advanced concepts of Unity game development.
Throughout this masterclass, you will embark on a journey that covers a wide range of topics, from the basics of Unity interface and game mechanics to advanced topics such as networking, virtual reality (VR), and augmented reality (AR) development. By the end of the course, you will have the expertise to create your own games across various platforms, including PC, mobile devices, consoles, and the web.

Free Download Algebraic Quasi―Fractal Logic of Smart Systems: Theory and Practice
English | 2024 | ISBN: 3031660390 | 468 Pages | PDF EPUB (True) | 25 MB
This book is a continuation of the Algebraic Formalization of Smart Systems. Theory and Practice, 2018, and Algebraic Identification of Smart Systems. Theory and Practice, 2021. Algebraic logic refers to the connection between Boolean algebra and classical propositional calculus. This connection was discovered by George Boole and then developed by other mathematicians, such as C. S. Peirce and Ernst Schroeder. This trend culminated in the Lindenbaum-Tarski algebras. Here we try to connect algebraic logic and quasi-fractal technique, based on algebraic formalization of smart systems to get facts about smart systems functioning and connections of their qualitative and quantitative indicators. Basic techniques we used: algebraic quasi-fractal systems, Erdős-Rényi algorithm, a notion of -giant component of an algebraic system, fixed point theorem, purities, i.e., embeddings preserving -property of an algebraic system. The book is aimed for all interested in these issues.

Free Download Benoit Mandelbrot, "The Misbehavior of Markets: A Fractal View of Financial Turbulence"
English | ISBN: 0465043577 | 2006 | 368 pages | PDF | 19 MB
A groundbreaking mathematician presents a new model for understanding financial markets

Free Download Fractal Patterns with MATLAB (SpringerBriefs in Complexity) by Santo Banerjee, A. Gowrisankar, Komandla Mahipal Reddy
English | January 2, 2024 | ISBN: 3031481011 | 100 pages | MOBI | 18 Mb
This book presents the iterative beauty of fractals and fractal functions graphically with the aid of MATLAB programming. The fractal images generated using the MATLAB codes provide visual delight and highly encourage the fractal lovers for creative thinking. The book compiles five cutting-edge research chapters, each with state-of-the art fractal illustrations. It starts with the fundamental theory for the construction of fractal sets via the deterministic iteration algorithm. Incorporating the theoretical base, fractal illustrations of elementary fractal sets are provided with the explicit MATLAB code. The book gives examples of MATLAB codes to present the fractal surfaces.