Mathemusical Conversations

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Mathemusical Conversations

Author : Jordan B L Smith,Elaine Chew,Gérard Assayag
Publisher : World Scientific
Page : 316 pages
File Size : 51,8 Mb
Release : 2016-07-21
Category : Computers
ISBN : 9789813140110

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Mathemusical Conversations by Jordan B L Smith,Elaine Chew,Gérard Assayag Pdf

Mathemusical Conversations celebrates the understanding of music through mathematics, and the appreciation of mathematics through music. This volume is a compilation of the invited talks given at the Mathemusical Conversations workshop that took place in Singapore from 13–15 February 2015, organized by Elaine Chew in partnership with Gérard Assayag for the scientific program and with Bernard Lanskey for the artistic program. The contributors are world experts and leading scholars, writing on the intersection of music and mathematics. They also focus on performance and composition, two topics which are foundational both to the understanding of human creativity and to the creation of tomorrow's music technologies. This book is essential reading for researchers in both music and mathematics. It will also appeal more broadly to scholars, students, musicians, and anyone interested in new perspectives on the intimate relationship between these two universal human activities. Contents:Foreword by Series EditorsForeword by Workshop OrganizersMathemusical Engagement:Without Our Consent (Paul Schoenfield)Approaches to Musical Expression in Harmonix Video Games (Eran Egozy)Motion and Gravitation in the Musical Spheres (Elaine Chew)Mathemusical Creativity:Improvising in Creative Symbolic Interaction (Gérard Assayag)Music, Creativity, and Computers (Margaret A Boden)Tiling Canons as a Key to Approaching Open Mathematical Conjectures? (Moreno Andreatta)Shaping Performance:Musical Motives in Performance: A Study of Absolute Timing Patterns (Neta Spiro, Nicolas Gold and John Rink)Playing with Variables: Anticipating One Particular Performance of Bach's Goldberg Variations (Bernard Lanskey and Stephen Emmerson)The Informatics Philharmonic in the Indiana University Summer String Academy (Christopher Raphael)Educating the Mathemusical:Mathematical Thought and Empirical Approaches in Higher Education in Music (Jian Yang)Action and Symbol: An Essential Tension (Jeanne Bamberger)Educating the Mathemusical: Balancing the Equation (Don McLean)Geometries:Graph-theoretic and Geometric Models of Music (Richard Cohn)In Quest of Musical Vectors (Dmitri Tymoczko)A Topological Approach of Musical Relationships (Jean-Louis Giavitto and Antoine Spicher)List of Contributors Readership: Advanced secondary school students; post-secondary school students; and scientists, mathematicians, musicians and members of the public interested in the mathematical music sciences.

Perspectives on Artistic Research in Music

Author : Robert Burke,Andrys Onsman
Publisher : Lexington Books
Page : 244 pages
File Size : 49,9 Mb
Release : 2017-01-23
Category : Music
ISBN : 9781498544825

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Perspectives on Artistic Research in Music by Robert Burke,Andrys Onsman Pdf

The increasing interest in artistic research, especially in music, is throwing open doors to exciting ideas about how we generate new musical knowledge and understanding. This book examines the wide array of factors at play in innovative practice and how by treating it as research we can make new ideas more widely accessible. Three key ideas propel the book. First, it argues that artistic research comes from inside the practice and exists in a space that accommodates both objective and subjective observation and analyses because the researcher is the practitioner. It is a space for dialogue between apparently opposing binaries: the composer and the performer, the past and the present, the fixed and the fluid, the intellectual and the intuitive, the abstract and the embodied, the prepared and the spontaneous, the enduring and the transitory, and so on. It is not so much constructed in a logical, sequential manner in the way of the scientific method of doing research but more as a “braided” space, woven from many disparate elements. Second, the book articulates the notion that artistic research in music has its own verification procedures that need to be brought into the academy, especially in terms of the moderation of non-traditional research outputs, including the description of the criteria for allocation of research points for the purposes of data collection, as well as real world relevance and industry engagement. Third, by way of numerous examples of original and creative music making, it demonstrates in practical terms how exploration and experimentation functions as legitimate academic research. Many of the case studies deliberately cross boundaries that were previously assumed to be rigid and definite in order to blaze new musical trails, creating new collaborations and synergies.

Artistic Research

Author : Paulo de Assis,Lucia D'Errico
Publisher : Rowman & Littlefield
Page : 265 pages
File Size : 44,8 Mb
Release : 2019-11-13
Category : Reference
ISBN : 9781786611512

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Artistic Research by Paulo de Assis,Lucia D'Errico Pdf

Artistic Research: Charting a Field in Expansion provides a multidisciplinary overview of different discourses and practices, exploring cutting-edge questions from the burgeoning field of artistic research. Intended as a primer on artistic research, it presents diverse perspectives, strategies, methodologies, and concrete examples of research projects situated at the crossroads of art and academia, exposing international work of significant projects from Europe, Asia, Australia, South and North America. The book includes chapters on diverse fields of thought and practice, addressing a common thread of questions and problematics. The comprehensive editors’ introduction offers a much-needed extensive overview of practice-based artistic research in general. This book is ideal for graduate students across philosophy, cultural studies, art, music, performance studies and more.

Modeling And Simulation For Collective Dynamics

Author : Weizhu Bao,Peter A Markowich,Benoit Perthame,Eitan Tadmor
Publisher : World Scientific
Page : 243 pages
File Size : 42,8 Mb
Release : 2023-01-17
Category : Mathematics
ISBN : 9789811266157

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Modeling And Simulation For Collective Dynamics by Weizhu Bao,Peter A Markowich,Benoit Perthame,Eitan Tadmor Pdf

The thematic program Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications was held at the Institute for Mathematical Sciences at the National University of Singapore, from September 2019 to March 2020. Leading experts presented tutorials and special lectures geared towards the participating graduate students and junior researchers.Readers will find in this significant volume four expanded lecture notes with self-contained tutorials on modeling and simulation for collective dynamics including individual and population approaches for population dynamics in mathematical biology, collective behaviors for Lohe type aggregation models, mean-field particle swarm optimization, and consensus-based optimization and ensemble Kalman inversion for global optimization problems with constraints.This volume serves to inspire graduate students and researchers who will embark into original research work in kinetic models for collective dynamics and their applications.

Density Functionals For Many-particle Systems: Mathematical Theory And Physical Applications Of Effective Equations

Author : Berthold-georg Englert,Heinz Siedentop,Martin-isbjorn Trappe
Publisher : World Scientific
Page : 397 pages
File Size : 52,5 Mb
Release : 2023-02-10
Category : Science
ISBN : 9789811272165

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Density Functionals For Many-particle Systems: Mathematical Theory And Physical Applications Of Effective Equations by Berthold-georg Englert,Heinz Siedentop,Martin-isbjorn Trappe Pdf

Density Functional Theory (DFT) first established it's theoretical footing in the 1960s from the framework of Hohenberg-Kohn theorems. DFT has since seen much development in evaluation techniques as well as application in solving problems in Physics, Mathematics and Chemistry.This review volume, part of the IMS Lecture Notes Series, is a collection of contributions from the September 2019 Workshop on the topic, held in the Institute for Mathematical Sciences, National University of Singapore.With contributions from prominent Mathematicians, Physicists, and Chemists, the volume is a blend of comprehensive review articles on the Mathematical and the Physicochemical aspects of DFT and shorter contributions on particular themes, including numerical implementations.The book will be a useful reference for advanced undergraduate and postgraduate students as well as researchers.

Imagine Math 6

Author : Michele Emmer,Marco Abate
Publisher : Springer
Page : 327 pages
File Size : 53,9 Mb
Release : 2018-11-06
Category : Mathematics
ISBN : 9783319939490

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Imagine Math 6 by Michele Emmer,Marco Abate Pdf

Imagine mathematics, imagine with the help of mathematics, imagine new worlds, new geometries, new forms. Imagine building mathematical models that make it possible to manage our world better, imagine combining music, art, poetry, literature, architecture and cinema with mathematics. Imagine the unpredictable and sometimes counterintuitive applications of mathematics in all areas of human endeavour. Imagination and mathematics, imagination and culture, culture and mathematics. This sixth volume in the series begins with a homage to the architect Zaha Hadid, who died on March 31st, 2016, a few weeks before the opening of a large exhibition of her works in Palazzo Franchetti in Venice, where all the Mathematics and Culture conferences have taken place in the last years. A large section of the book is dedicated to literature, narrative and mathematics including a contribution from Simon Singh. It discusses the role of media in mathematics, including museums of science, journals and movies. Mathematics and applications, including blood circulation and preventing crimes using earthquakes, is also addressed, while a section on mathematics and art examines the role of math in design. A large selection presents photos of mathematicians and mathematical objects by Vincent Moncorge. Discussing all topics in a way that is rigorous but captivating, detailed but full of evocations, it offers an all-embracing look at the world of mathematics and culture.

Models And Methods For Quantum Condensation And Fluids

Author : Weizhu Bao,Yongyong Cai,Ionut Danaila,Peter A Markowich
Publisher : World Scientific
Page : 361 pages
File Size : 46,8 Mb
Release : 2023-01-04
Category : Mathematics
ISBN : 9789811266065

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Models And Methods For Quantum Condensation And Fluids by Weizhu Bao,Yongyong Cai,Ionut Danaila,Peter A Markowich Pdf

The Institute for Mathematical Sciences at the National University of Singapore hosted a thematic program on Quantum and Kinetic Problems: Modeling, Analysis, Numerics and Applications from September 2019 to March 2020. As an important part of the program, tutorials and special lectures were given by leading experts in the fields for participating graduate students and junior researchers. This invaluable volume collects six expanded lecture notes with self-contained tutorials. The coverage includes mathematical models and numerical methods for multidimensional solitons in linear and nonlinear potentials; Bose-Einstein condensation (BEC) with dipole-dipole interaction, higher order interaction and spin-orbit coupling; classical and quantum turbulence; and molecular dynamics process based on the first-principle in quantum chemistry.This volume serves to inspire graduate students and researchers who will embark into original research work in these fields.

The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles

Author : Richard Wentworth,Graeme Wilkin
Publisher : World Scientific
Page : 412 pages
File Size : 43,7 Mb
Release : 2018-06-28
Category : Mathematics
ISBN : 9789813229105

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The Geometry, Topology And Physics Of Moduli Spaces Of Higgs Bundles by Richard Wentworth,Graeme Wilkin Pdf

In the 25 years since their introduction, Higgs bundles have seen a surprising number of interactions within different areas of mathematics and physics. There is a recent surge of interest following Ngô Bau Châu's proof of the Fundamental Lemma and the work of Kapustin and Witten on the Geometric Langlands program. The program on The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles, was held at the Institute for Mathematical Sciences at the National University of Singapore during 2014. It hosted a number of lectures on recent topics of importance related to Higgs bundles, and it is the purpose of this volume to collect these lectures in a form accessible to graduate students and young researchers interested in learning more about this field.

Atomism in Philosophy

Author : Ugo Zilioli
Publisher : Bloomsbury Publishing
Page : 505 pages
File Size : 48,5 Mb
Release : 2020-11-12
Category : Philosophy
ISBN : 9781350107519

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Atomism in Philosophy by Ugo Zilioli Pdf

The nature of matter and the idea of indivisible parts has fascinated philosophers, historians, scientists and physicists from antiquity to the present day. This collection covers the richness of its history, starting with how the Ancient Greeks came to assume the existence of atoms and concluding with contemporary metaphysical debates about structure, time and reality. Focusing on important moments in the history of human thought when the debate about atomism was particularly flourishing and transformative for the scientific and philosophical spirit of the time, this collection covers: - The discovery of atomism in ancient philosophy - Ancient non-Western, Arabic and late Medieval thought - The Renaissance, when along with the re-discovery of ancient thought, atomism became once again an important doctrine to be fully debated - Logical atomism in early analytic philosophy, with Russell and Wittgenstein - Atomism in Liberalism and Marxism - Atomism and the philosophy of time - Atomism in contemporary metaphysics - Atomism and the sciences Featuring 28 chapters by leading and younger scholars, this valuable collection reveals the development of one of philosophy's central doctrines across 2,500 years and within a broad range of philosophical traditions.

Genealogies of Interacting Particle Systems

Author : Matthias Birkner,Rongfeng Sun,Jan M. Swart
Publisher : World Scientific
Page : 363 pages
File Size : 49,8 Mb
Release : 2020
Category : Biomathematics
ISBN : 9789811206092

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Genealogies of Interacting Particle Systems by Matthias Birkner,Rongfeng Sun,Jan M. Swart Pdf

"Interacting particle systems are Markov processes involving infinitely many interacting components. Since their introduction in the 1970s, researchers have found many applications in statistical physics and population biology. Genealogies, which follow the origin of the state of a site backwards in time, play an important role in their studies, especially for the biologically motivated systems. The program Genealogies of Interacting Particle Systems held at the Institute for Mathematical Sciences, National University of Singapore, from 17 July to 18 Aug 2017, brought together experts and young researchers interested in this modern topic. Central to the program were learning sessions where lecturers presented work outside of their own research, as well as a normal workshop "--Publisher's website.

Combinatorial And Toric Homotopy: Introductory Lectures

Author : Darby Alastair,Grbic Jelena,Lu Zhi
Publisher : World Scientific
Page : 448 pages
File Size : 44,9 Mb
Release : 2017-10-20
Category : Mathematics
ISBN : 9789813226586

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Combinatorial And Toric Homotopy: Introductory Lectures by Darby Alastair,Grbic Jelena,Lu Zhi Pdf

This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics such as fr-codes and robot motion planning. The book starts intertwining homotopy theoretical and combinatorial ideas within the remits of toric topology and illustrates an attempt to classify in a combinatorial way polytopes known as fullerenes, which are important objects in quantum physics, quantum chemistry and nanotechnology. Toric homotopy theory is then introduced as a further development of toric topology, which describes properties of Davis–Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. The book also displays the current research on configuration spaces, braids, the theory of limits over the category of presentations and the theory of fr-codes. As an application to robotics, the book surveys topological problems relevant to the motion planning problem of robotics and includes new results and constructions, which enrich the emerging area of topological robotics. The book is at research entry level addressing the core components in homotopy theory and their important applications in the sciences and thus suitable for advanced undergraduate and graduate students. Contents: Toric Homotopy Theory (Stephen Theriault)Fullerenes, Polytopes and Toric Topology (Victor M Buchstaber and Nikolay Yu Erokhovets)Around Braids (Vladimir Vershinin)Higher Limits, Homology Theories and fr-Codes (Sergei O Ivanov and Roman Mikhailov)Configuration Spaces and Robot Motion Planning Algorithms (Michael Farber)Cellular Stratified Spaces (Dai Tamaki) Readership: Advanced undergraduate and graduate students as well as researchers interested in homotopy theory and its applications in the sciences. Keywords: Toric Topology;Toric Homotopy;Configuration Space;Stratified Spaces;Braid Group;Fullerene;Polytope;Virtual Braid Group;Thompson Group;Robotics;Motion PlanningReview: Key Features: The first book in the area of toric homotopy theory consisting of introductory lectures on the topics and their applications to fr-codes and robot motion planning

On The Langlands Program: Endoscopy And Beyond

Author : Wee Teck Gan,Dihua Jiang,Lei Zhang,Chen-bo Zhu
Publisher : World Scientific
Page : 449 pages
File Size : 44,5 Mb
Release : 2024-04-15
Category : Mathematics
ISBN : 9789811285837

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On The Langlands Program: Endoscopy And Beyond by Wee Teck Gan,Dihua Jiang,Lei Zhang,Chen-bo Zhu Pdf

This is a collection of lecture notes from the minicourses in the December 2018 Langlands Workshop: Endoscopy and Beyond. The volume combines seven introductory chapters on trace formulas, local Arthur packets, and beyond endoscopy. It aims to introduce the endoscopy classification via a basic example of the trace formula for SL(2), explore the more refined questions on the structure of Arthur packets, and look beyond endoscopy following the suggestions of Langlands, Braverman-Kazhdan, Ngo, and Altuğ. The book is a helpful reference for undergraduates, postgraduates, and researchers.

Aspects Of Computation And Automata Theory With Applications

Author : Noam Greenberg,Sanjay Jain,Keng Meng Ng,Sven Schewe,Frank Stephan,Guohua Wu,Yue Yang
Publisher : World Scientific
Page : 492 pages
File Size : 52,9 Mb
Release : 2023-10-23
Category : Mathematics
ISBN : 9789811278648

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Aspects Of Computation And Automata Theory With Applications by Noam Greenberg,Sanjay Jain,Keng Meng Ng,Sven Schewe,Frank Stephan,Guohua Wu,Yue Yang Pdf

This volume results from two programs that took place at the Institute for Mathematical Sciences at the National University of Singapore: Aspects of Computation — in Celebration of the Research Work of Professor Rod Downey (21 August to 15 September 2017) and Automata Theory and Applications: Games, Learning and Structures (20-24 September 2021).The first program was dedicated to the research work of Rodney G. Downey, in celebration of his 60th birthday. The second program covered automata theory whereby researchers investigate the other end of computation, namely the computation with finite automata, and the intermediate level of languages in the Chomsky hierarchy (like context-free and context-sensitive languages).This volume contains 17 contributions reflecting the current state-of-art in the fields of the two programs.

Mathematics Of Shapes And Applications

Author : Sergey Kushnarev,Anqi Qiu,Laurent Younes
Publisher : World Scientific
Page : 220 pages
File Size : 46,5 Mb
Release : 2019-11-20
Category : Mathematics
ISBN : 9789811200144

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Mathematics Of Shapes And Applications by Sergey Kushnarev,Anqi Qiu,Laurent Younes Pdf

Understanding how a single shape can incur a complex range of transformations, while defining the same perceptually obvious figure, entails a rich and challenging collection of problems, at the interface between applied mathematics, statistics and computer science. The program on Mathematics of Shapes and Applications, was held at the Institute for Mathematical Sciences at the National University of Singapore in 2016. It provided discussions on theoretical developments and numerous applications in computer vision, object recognition and medical imaging.The analysis of shapes is an example of a mathematical problem directly connected with applications while offering deep open challenges to theoretical mathematicians. It has grown, over the past decades, into an interdisciplinary area in which researchers studying infinite-dimensional Riemannian manifolds (global analysis) interact with applied mathematicians, statisticians, computer scientists and biomedical engineers on a variety of problems involving shapes.The volume illustrates this wealth of subjects by providing new contributions on the metric structure of diffeomorphism groups and shape spaces, recent developments on deterministic and stochastic models of shape evolution, new computational methods manipulating shapes, and new statistical tools to analyze shape datasets. In addition to these contributions, applications of shape analysis to medical imaging and computational anatomy are discussed, leading, in particular, to improved understanding of the impact of cognitive diseases on the geometry of the brain.

White Noise Analysis And Quantum Information

Author : Ohya Masanori,Hida Takeyuki,Chen Louis Hsiao Yun
Publisher : World Scientific
Page : 244 pages
File Size : 49,9 Mb
Release : 2017-08-29
Category : Language Arts & Disciplines
ISBN : 9789813225473

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White Noise Analysis And Quantum Information by Ohya Masanori,Hida Takeyuki,Chen Louis Hsiao Yun Pdf

This volume is to pique the interest of many researchers in the fields of infinite dimensional analysis and quantum probability. These fields have undergone increasingly significant developments and have found many new applications, in particular, to classical probability and to different branches of physics. These fields are rather wide and are of a strongly interdisciplinary nature. For such a purpose, we strove to bridge among these interdisciplinary fields in our Workshop on IDAQP and their Applications that was held at the Institute for Mathematical Sciences, National University of Singapore from 3–7 March 2014. Readers will find that this volume contains all the exciting contributions by well-known researchers in search of new directions in these fields. Contents: Extensions of Quantum Theory Canonically Associated to Classical Probability Measures (Luigi Accardi)Hida Distribution Construction of Indefinite Metric (ϕp)d (d ≥ 4) Quantum Field Theory (Sergio Albeverio and Minoru W Yoshida)A Mathematical Realization of von Neumann's Measurement Scheme (Masanari Asano, Masanori Ohya and Yuta Yamamori)On Random White Noise Processes with Memory for Time Series Analysis (Christopher C Bernido and M Victoria Carpio-Bernido)Self-Repelling (Fractional) Brownian Motion: Results and Open Questions (Jinky Bornales and Ludwig Streit)Normal Approximation for White Noise Functionals by Stein's Method and Hida Calculus (Louis H Y Chen, Yuh-Jia Lee and Hsin-Hung Shih)Sensitive Homology Searching Based on MTRAP Alignment (Toshihide Hara and Masanori Ohya)Some of the Future Directions of White Noise Theory (Takeyuki Hida)Local Statistics for Random Selfadjoint Operators (Peter D Hislop and Maddaly Krishna)Multiple Markov Properties of Gaussian Processes and Their Control (Win Win Htay)Quantum Stochastic Differential Equations Associated with Square of Annihilation and Creation Processes (Un Cig Ji and Kalyan B Sinha)Itô Formula for Generalized Real and Complex White Noise Functionals (Yuh-Jia Lee)Quasi Quantum Quadratic Operators of 𝕄2(ℂ) (Farrukh Mukhamedov)New Noise Depending on the Space Parameter and the Concept of Multiplicity (Si Si)A Hysteresis Effect on Optical Illusion and Non-Kolmogorovian Probability Theory (Masanari Asano, Andrei Khrennikov, Masanori Ohya and Yoshiharu Tanaka)Note on Entropy-Type Complexity of Communication Processes (Noboru Watanabe) Readership: Mathematicians, physicists, biologists, and information scientists as well as advanced undergraduates, and graduate students studying in these fields. All researchers interested in the study of Quantum Information and White Noise Theory. Keywords: White Noise Analysis;Quantum Information;Quantum Probability;Bioinformatics;Genes;Adaptive Dynamics;Entanglement;Quantum Entropy;Non-Kolmogorovian Probability;Infinite Dimensional AnalysisReview: Key Features: Mainly focused on quantum information theory and white noise analysis in line with the fields of infinite dimensional analysis and quantum probabilityWhite noise analysis is in a leading position of the analysis on modern stochastic analysis, and this volume contains contributions to the development of these new exciting directions