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| fractals in music by charles madden: Fractals in Music Charles B. Madden, 1999 Fractals in Music is intended for advanced students of music theory, whether individuals, composers, students, or teachers. It is intelligible to anyone having some knowledge of algebra and trigonometry. The many illustrations clarify such concepts as self-similarity and transforms. Book jacket. |
| fractals in music by charles madden: A Topical Guide to Schenkerian Literature David Carson Berry, 2004 To the growing list of Pendragon Press publications devoted to the work of Heinrich Schenker, we wish to announce the addition of this much-needed bibliography. The author, a student of Allen Forte, has created a work useful to a wide range of researchers music theorists, musicologists, music librarians and teachers. The Guide is the largest Schenkerian reference work ever published. At nearly 600 pages, it contains 3600 entries (2200 principal, 1400 secondary) representing the work of 1475 authors. Fifteen broad groupings encompass seventy topical headings, many of which are divided and subdivided again, resulting in a total of 271 headings under which entries are collected. |
| fractals in music by charles madden: Music: A Mathematical Offering Dave Benson, 2007 This book explores the interaction between music and mathematics including harmony, symmetry, digital music and perception of sound. |
| fractals in music by charles madden: Pretty Ugly Charles Maurer, Daphne Maurer, 2019-08-22 People are chemical machines, yet we (and some other animals) develop a sense of beauty. Why and how did it evolve? How is it formed? This book answers these questions from the perspective of scientists with deep knowledge of the arts. It interweaves experimental sciences with the histories of art, architecture, music, dance, speech, literature, and food. Although we perceive each of our senses to be dramatically different, the authors show them all to be similar under the hood—similar in how they function and in how they shape our aesthetic experience. The authors cover many fields, and do not assume the reader has any special knowledge or expertise. They avoid jargon, equations and formulae, and begin every discussion at an introductory level. However, introductory does not mean elementary. This is a broad knife that cuts deep. |
| fractals in music by charles madden: On Musical Self-similarity Gabriel Pareyón, 2011 |
| fractals in music by charles madden: Visualizing Music Eric Isaacson, 2023-05-02 To feel the emotional force of music, we experience it aurally. But how can we convey musical understanding visually? Visualizing Music explores the art of communicating about music through images. Drawing on principles from the fields of vision science and information visualization, Eric Isaacson describes how graphical images can help us understand music. By explaining the history of music visualizations through the lens of human perception and cognition, Isaacson offers a guide to understanding what makes musical images effective or ineffective and provides readers with extensive principles and strategies to create excellent images of their own. Illustrated with over 300 diagrams from both historical and modern sources, including examples and theories from Western art music, world music, and jazz, folk, and popular music, Visualizing Music explores the decisions made around image creation. Together with an extensive online supplement and dozens of redrawings that show the impact of effective techniques, Visualizing Music is a captivating guide to thinking differently about design that will help music scholars better understand the power of musical images, thereby shifting the ephemeral to material. |
| fractals in music by charles madden: Sync or Swarm, Revised Edition David Borgo, 2022-02-10 The revised edition of Sync or Swarm promotes an ecological view of musicking, moving us from a subject-centered to a system-centered view of improvisation. It explores cycles of organismic self-regulation, cycles of sensorimotor coupling between organism and environment, and cycles of intersubjective interaction mediated via socio-technological networks. Chapters funnel outward, from the solo improviser (Evan Parker), to nonlinear group dynamics (Sam Rivers trio), to networks that comprise improvisational communities, to pedagogical dynamics that affect how individuals learn, completing the hermeneutic circle. Winner of the Society for Ethnomusicology's Alan Merriam prize in its first edition, the revised edition features new sections that highlight electro-acoustic and transcultural improvisation, and concomitant issues of human-machine interaction and postcolonial studies. |
| fractals in music by charles madden: Musical Vitalities Holly Watkins, 2018-11-21 Does it make sense to refer to bird song—a complex vocalization, full of repetitive and transformative patterns that are carefully calculated to woo a mate—as art? What about a pack of wolves howling in unison or the cacophony made by an entire rain forest? Redefining music as “the art of possibly animate things,” Musical Vitalities charts a new path for music studies that blends musicological methods with perspectives drawn from the life sciences. In opposition to humanist approaches that insist on a separation between culture and nature—approaches that appear increasingly untenable in an era defined by human-generated climate change—Musical Vitalities treats music as one example of the cultural practices and biotic arts of the animal kingdom rather than as a phenomenon categorically distinct from nonhuman forms of sonic expression. The book challenges the human exceptionalism that has allowed musicologists to overlook music’s structural resemblances to the songs of nonhuman species, the intricacies of music’s physiological impact on listeners, and the many analogues between music’s formal processes and those of the dynamic natural world. Through close readings of Austro-German music and aesthetic writings that suggest wide-ranging analogies between music and nature, Musical Vitalities seeks to both rekindle the critical potential of nineteenth-century music and rejoin the humans at the center of the humanities with the nonhumans whose evolutionary endowments and planetary fates they share. |
| fractals in music by charles madden: Hidden Structure David Cope, 2009-06-01 Today's computers provide music theorists with unprecedented opportunities to analyze music more quickly and accurately than ever before. Where analysis once required several weeks or even months to complete¿often replete with human errors, computers now provide the means to accomplish these same analyses in a fraction of the time and with far more accuracy. However, while such computer music analyses represent significant improvements in the field, computational analyses using traditional approaches by themselves do not constitute the true innovations in music theory that computers offer. In Hidden Structure: Music Analysis Using Computers David Cope introduces a series of analytical processes that¿by virtue of their concept and design¿can be better, and in some cases, only accomplished by computer programs, thereby presenting unique opportunities for music theorists to understand more thoroughly the various kinds of music they study.Following the introductory chapter that covers several important premises, Hidden Structure focuses on several unique approaches to music analysis offered by computer programs. While these unique approaches do not represent an all-encompassing and integrated global theory of music analysis, they do represent significantly more than a compilation of loosely related computer program descriptions. For example, Chapter 5 on function in post-tonal music, firmly depends on the scalar foundations presented in chapter 4. Likewise, chapter 7 presents a multi-tiered approach to musical analysis that builds on the material found in all of the preceding chapters. In short, Hidden Structure uniquely offers an integrated view of computer music analysis for today¿s musicians. |
| fractals in music by charles madden: Fibonacci Analysis Constance Brown, 2010-05-13 Only someone who is both a successful trader and a successful writer could pull off what Constance Brown has accomplished in this book: distilling Fibonacci analysis to two hundred or so comprehensive, clearly written, eminently practical pages. Brown knows exactly what a professional trying to come up to speed on a new trading tool needs and she provides it, covering what Fibonacci analysis is, how it works, where it comes from, pitfalls and dangers, and, of course, how to use it. Basic trading strategies are touched upon in virtually every chapter. Fibonacci analysis is one of the most popular technical analysis tools, yet it is often used incorrectly. Brown quickly clears up common misconceptions and moves on to show, step by step, the correct way to apply the technique in any market. Those with Fibonacci analysis software will learn how to use it with maximum effectiveness; those without will chart the market the old-fashioned way. All will find answers to the trader's most important questions: Where is the market going? At what level should my stop be entered? Based on the size of my trading account, how much should I leverage into a trading position? Can I tell if I am in trouble before my stop is hit? How much should I buy or sell if given a second or third opportunity? Occasional references to other tools--including Elliott Wave, W.D. Gann, and candlestick charts--and an extensive bibliography make this book richer for accomplished technical analysts without confounding the less experienced. Plentiful real-life examples and dozens of carefully annotated charts insure every reader will get maximum value from every minute spent with this book. Gold Medal Winner (tie), Investing Category, Axiom Business Book Awards (2009) Winner: Book Series Cover Design, The Bookbinders Guild of New York/2009 New York Book Show Awards |
| fractals in music by charles madden: The Australian Mathematics Teacher , 2005 |
| fractals in music by charles madden: Foundations of Diatonic Theory Timothy A. Johnson, 2008-09-26 Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music. |
| fractals in music by charles madden: Bibliographic Guide to Music Gale Group, 2001-07 |
| fractals in music by charles madden: Notes Music Library Association, 2000 |
| fractals in music by charles madden: Signale, Systeme und Klangsynthese Martin Neukom, 2005 Dieses Buch behandelt die Erzeugung und die Verarbeitung von Klängen mit dem Computer. Mit Hilfe von Abbildungen, Animationen, Klangbeispielen und Beispielprogrammen werden die wichtigsten Techniken zur Klang- und Partitursynthese vorgestellt und die technischen und mathematischen Grundlagen erläutert, die zum Verständnis dieser Techniken notwendig sind. Nach einer Übersicht über die Grundlagen der Akustik stellt der Autor die Theorie der Signale und Systeme dar und gibt eine Einführung in die allgemeinen Programmiersprachen C und Mathematica und in die Programme Csound und CPS. Es folgen die Darstellungen der traditionell wichtigen Synthesetechniken, der nichtlinearen Techniken und der Synthese mit physikalischen Modellen. Den Abschluss bilden die Kapitel zur Klangprojektion im Raum und zur Verwendung algorithmischer und stochastischer Prozesse in der Computermusik. Der Anhang enthält eine Übersicht über mathematische Grundlagen, Tabellen und einen detaillierten Index. Auf den beiden CDs finden sich der Buchtext mit zusätzlichen Kapiteln und Erläuterungen, Klangbeispiele, Animationen und Programme. |
| fractals in music by charles madden: Forthcoming Books Rose Arny, 1999-08 |
| fractals in music by charles madden: Signals, Systems and Sound Synthesis Martin Neukom, 2013 How to use this book Fundamentals of acoustics Signals and systems Computer programs and programming languages Fundamentals of sound synthesis Nonlinear techniques Other techniques for sound analysis and synthesis Physical modeling Sound and space Computers and composition. |
| fractals in music by charles madden: Fundamentos teóricos de la música atonal Hebert Vázquez, 2021-04-21 A pesar de que la teoría de la música atonal se ha desarrollado de manera ininterrumpida durante los últimos 50 años en los países anglosajones, especialmente en Estados Unidos, y de que ha producido un extenso acervo de literatura analítica, en México es aún prácticamente desconocida; de ahí que esta obra trata de contribuir a remediar dicho rezago. Además hay aspectos en que se diferencia de la mayoría de los textos anglosajones sobre el tema; el más relevante es quizás la importancia que se le da en el repertorio musical mexicano, tanto en el terreno de la ejemplificación teórica como en el ámbito analítico, a lo cual se debe agregar una clara inclinación por la música compuesta en la segunda mitad del siglo XX, sobre todo en el transcurso de los últimos 20 años. |
| fractals in music by charles madden: Bibliographic Index , 1999 |
| fractals in music by charles madden: Books In Print 2004-2005 Ed Bowker Staff, Staff Bowker, Ed, 2004 |
| fractals in music by charles madden: The Cumulative Book Index , 1999 |
| fractals in music by charles madden: A Student's Guide to Fourier Transforms J. F. James, 2002-09-19 Fourier transform theory is of central importance in a vast range of applications in physical science, engineering, and applied mathematics. This new edition of a successful student text provides a concise introduction to the theory and practice of Fourier transforms, using qualitative arguments wherever possible and avoiding unnecessary mathematics. After a brief description of the basic ideas and theorems, the power of the technique is then illustrated by referring to particular applications in optics, spectroscopy, electronics and telecommunications. The rarely discussed but important field of multi-dimensional Fourier theory is covered, including a description of computer-aided tomography (CAT-scanning). The final chapter discusses digital methods, with particular attention to the fast Fourier transform. Throughout, discussion of these applications is reinforced by the inclusion of worked examples. The book assumes no previous knowledge of the subject, and will be invaluable to students of physics, electrical and electronic engineering, and computer science. |
| fractals in music by charles madden: Chaos and Fractals Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, 2006-05-05 Almost 12 years have passed by since we wrote Chaos and Fractals. At the time we were hoping that our approach of writing a book which would be both accessible without mathematical sophistication and portray these exiting new fields in an authentic manner would find an audience. Now we know it did. We know from many reviews and personal letters that the book is used in a wide range of ways: researchers use it to acquaint themselves, teachers use it in college and university courses, students use it for background reading, and there is also a substantial audience of lay people who just want to know what chaos and fractals are about. Every book that is somewhat technical in nature is likely to have a number of misprints and errors in its first edition. Some of these were caught and brought to our attention by our readers. One of them, Hermann Flaschka, deserves to be thanked in particular for his suggestions and improvements. This second edition has several changes. We have taken out thetwo appendices from the firstedition. At the time of the first edition Yuval Fishers contribution, which we published as an appendix was probably the first complete expository account on fractal image compression. Meanwhile, Yuvals book Fractal Image Compression: Theory and Application appeared and is now the publication to refer to. |
| fractals in music by charles madden: Pauta , 2002 |
| fractals in music by charles madden: Songs in the Key of Z Irwin Chusid, 2000 Irwin Chusid profiles a number of outsider musicians - those who started as outside and eventually came in when the listening public caught up with their radical ideas. Included are The Shaggs, Tiny Tim, Syd Barrett, Joe Meek, Captain Beefheart, The Cherry Sisters, Daniel Johnston, Harry Partch, Wesley Wilis, and others. |
| fractals in music by charles madden: Current Contents Institute for Scientific Information (Philadelphia), 2001 |
| fractals in music by charles madden: Beyond Infinity Eugenia Cheng, 2017-03-09 SHORTLISTED FOR THE 2017 ROYAL SOCIETY SCIENCE BOOK PRIZE Even small children know there are infinitely many whole numbers - start counting and you'll never reach the end. But there are also infinitely many decimal numbers between zero and one. Are these two types of infinity the same? Are they larger or smaller than each other? Can we even talk about 'larger' and 'smaller' when we talk about infinity? In Beyond Infinity, international maths sensation Eugenia Cheng reveals the inner workings of infinity. What happens when a new guest arrives at your infinite hotel - but you already have an infinite number of guests? How does infinity give Zeno's tortoise the edge in a paradoxical foot-race with Achilles? And can we really make an infinite number of cookies from a finite amount of cookie dough? Wielding an armoury of inventive, intuitive metaphor, Cheng draws beginners and enthusiasts alike into the heart of this mysterious, powerful concept to reveal fundamental truths about mathematics, all the way from the infinitely large down to the infinitely small. |
| fractals in music by charles madden: Dance, Space and Subjectivity V. Briginshaw, 2016-01-08 This book contains readings of American, British and European postmodern dances informed by feminist, postcolonialist, queer and poststructuralist theories. It explores the roles dance and space play in constructing subjectivity. By focusing on site-specific dance, the mutual construction of bodies and spaces, body-space interfaces and 'in-between spaces', the dances and dance films are read 'against the grain' to reveal their potential for troubling conventional notions of subjectivity associated with a white, Western, heterosexual able-bodied, male norm. |
| fractals in music by charles madden: Music of the Peoples of the World William Alves, 2010 World music cultures: an introduction -- Pitch and melody -- Rhythm and loudness -- Texture -- Timbre and musical instruments -- Sub-Saharan Africa -- The Middle East and North Africa -- Central Asia -- India -- China -- Japan -- Indonesia -- Eastern Europe -- Western Europe -- Latin America -- North America. |
| fractals in music by charles madden: Academic E-Books Suzanne M. Ward, Robert S. Freeman, Judith M. Nixon, 2015-11-15 Academic E-Books: Publishers, Librarians, and Users provides readers with a view of the changing and emerging roles of electronic books in higher education. The three main sections contain contributions by experts in the publisher/vendor arena, as well as by librarians who report on both the challenges of offering and managing e-books and on the issues surrounding patron use of e-books. The case study section offers perspectives from seven different sizes and types of libraries whose librarians describe innovative and thought-provoking projects involving e-books. Read about perspectives on e-books from organizations as diverse as a commercial publisher and an association press. Learn about the viewpoint of a jobber. Find out about the e-book challenges facing librarians, such as the quest to control costs in the patron-driven acquisitions (PDA) model, how to solve the dilemma of resource sharing with e-books, and how to manage PDA in the consortial environment. See what patron use of e-books reveals about reading habits and disciplinary differences. Finally, in the case study section, discover how to promote scholarly e-books, how to manage an e-reader checkout program, and how one library replaced most of its print collection with e-books. These and other examples illustrate how innovative librarians use e-books to enhance users’ experiences with scholarly works. |
| fractals in music by charles madden: Encyclopedia of Psychology and Religion: L-Z David Adams Leeming, Kathryn Madden, Stanton Marlan, 2009-10-26 Integrating psychology and religion, this unique encyclopedia offers a rich contribution to the development of human self-understanding. It provides an intellectually rigorous collection of psychological interpretations of the stories, rituals, motifs, symbols, doctrines, dogmas, and experiences of the world’s religious traditions. Easy-to-read, the encyclopedia draws from forty different religions, including modern world religions and older religious movements. It is of particular interest to researchers and professionals in psychology and religion. |
| fractals in music by charles madden: Cumulated Index to the Books , 1999 |
| fractals in music by charles madden: Fractals in Music Charles B. Madden, 1999 |
| fractals in music by charles madden: Debussy in Proportion Roy Howat, 1983 An analysis that accounts precisely for the nature of Debussy's musical forms and how forms of different works are related. Geometric systems found here throw new light on Debussy's intense interest in the other arts and provide links with artists he admired in other fields. |
| fractals in music by charles madden: Chaos and Order N. Katherine Hayles, 2014-12-10 The scientific discovery that chaotic systems embody deep structures of order is one of such wide-ranging implications that it has attracted attention across a spectrum of disciplines, including the humanities. In this volume, fourteen theorists explore the significance for literary and cultural studies of the new paradigm of chaotics, forging connections between contemporary literature and the science of chaos. They examine how changing ideas of order and disorder enable new readings of scientific and literary texts, from Newton's Principia to Ruskin's autobiography, from Victorian serial fiction to Borges's short stories. N. Katherine Hayles traces shifts in meaning that chaos has undergone within the Western tradition, suggesting that the science of chaos articulates categories that cannot be assimilated into the traditional dichotomy of order and disorder. She and her contributors take the relation between order and disorder as a theme and develop its implications for understanding texts, metaphors, metafiction, audience response, and the process of interpretation itself. Their innovative and diverse work opens the interdisciplinary field of chaotics to literary inquiry. |
| fractals in music by charles madden: Imagine Design Create Tom Wujec, 2011-05 Imagine, Design, Create offers a wide-ranging look at how the creative process and the tools of design are dramatically changing--and where design is headed in the coming years. Bringing together stories of good design happening around the world, the book shows how people are using fresh design approaches and new capabilities to solve problems, create opportunities, and improve the way we live and work. From the impact of SOM's Cathedral of Christ the Light in Oakland to the spark that inspired Thomas Heatherwick's U.K. Pavilion in Shanghai; from the new processes fueling Zaha Hadid's extraordinary architecture to the digital tools Ford is using to transform car design, each of these stories explores questions that swirl around the idea of design. How does design change our lives for the better? How is our capacity to produce good design evolving? How will the next generation of designers work? What will they make? What new areas of human experience is design opening for us? Now that designers can do almost anything--what should they do? The Publisher has two cover versions for this title. The books will ship with either a black or white cover. The interior contents are the same. |
| fractals in music by charles madden: Data Mining in Bioinformatics Jason T. L. Wang, 2005 Written especially for computer scientists, all necessary biology is explained. Presents new techniques on gene expression data mining, gene mapping for disease detection, and phylogenetic knowledge discovery. |
| fractals in music by charles madden: Curating Immateriality Joasia Krysa, 2006 The site of curatorial production has been expanded to include the space of the Internet and the focus of curatorial attention has been extended from the object to dynamic network systems. Part of the 'DATA Browser' series, this book explores the role of the curator in the face of these changes. |
| fractals in music by charles madden: Music Analyses Harold J. Diamond, 1991 This is a reference source to the analytical literature on music from the Middle Ages to the 20th century, designed for music scholars, students, and concert-goers interested in a technical explanation of a favourite composition. |
| fractals in music by charles madden: Talking and Listening in the Age of Modernity Joy Damousi, Desley Deacon, 2007-11-01 Issued also in printed form. |
Fractal - Wikipedia
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.
How Fractals Work - HowStuffWorks
Oct 31, 2023 · At their most basic, fractals are a visual expression of a repeating pattern or formula that starts out simple and gets progressively more complex. One of the earliest …
What are Fractals? - Fractal Foundation
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by …
9 Amazing Fractals Found in Nature - Treehugger
May 30, 2024 · Take a tour through the magical world of natural fractals and discover the complex patterns of succulents, rivers, leaf veins, crystals, and more.
Fractals | Brilliant Math & Science Wiki
Fractals are fundamental to understanding many chaotic systems, and have many applications in sciences. They are also beautiful and mesmerizing objects, as we have seen with the …
Fractal | Mathematics, Nature & Art | Britannica
May 9, 2025 · Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth. They are capable of describing …
Fractals – Mathigon
Fractals contain patterns at every level of magnification, and they can be created by repeating a procedure or iterating an equation infinitely many times. They are some of the most beautiful …
Fractals in Math - Definition, Types, & Examples
Jan 29, 2024 · Fractal geometry deals with complexity and irregularity. While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, …
Fractal Definition (Illustrated Mathematics Dictionary)
Fractals have a pattern that we see again after zooming in. Many things in the real world are like fractals: trees, shorelines, broccoli, lungs, ocean surface, etc. (Note: the name "fractal" comes …
Fractal -- from Wolfram MathWorld
May 22, 2025 · A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all …
Fractal - Wikipedia
In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.
How Fractals Work - HowStuffWorks
Oct 31, 2023 · At their most basic, fractals are a visual expression of a repeating pattern or formula that starts out simple and gets progressively more complex. One of the earliest …
What are Fractals? - Fractal Foundation
Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by …
9 Amazing Fractals Found in Nature - Treehugger
May 30, 2024 · Take a tour through the magical world of natural fractals and discover the complex patterns of succulents, rivers, leaf veins, crystals, and more.
Fractals | Brilliant Math & Science Wiki
Fractals are fundamental to understanding many chaotic systems, and have many applications in sciences. They are also beautiful and mesmerizing objects, as we have seen with the …
Fractal | Mathematics, Nature & Art | Britannica
May 9, 2025 · Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth. They are capable of describing …
Fractals – Mathigon
Fractals contain patterns at every level of magnification, and they can be created by repeating a procedure or iterating an equation infinitely many times. They are some of the most beautiful …
Fractals in Math - Definition, Types, & Examples
Jan 29, 2024 · Fractal geometry deals with complexity and irregularity. While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, …
Fractal Definition (Illustrated Mathematics Dictionary)
Fractals have a pattern that we see again after zooming in. Many things in the real world are like fractals: trees, shorelines, broccoli, lungs, ocean surface, etc. (Note: the name "fractal" comes …
Fractal -- from Wolfram MathWorld
May 22, 2025 · A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all …
