Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference "Applied Category Theory Graph-operad-logic"

Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference
Title Scientific Legacy Of Professor Zbigniew Oziewicz: Selected Papers From The International Conference "Applied Category Theory Graph-operad-logic" PDF eBook
Author Hilda Maria Colin Garcia
Publisher World Scientific
Total Pages 771
Release 2023-09-27
Genre Mathematics
ISBN 981127116X

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Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book consists of papers on a wide variety of topics related to the work of Professor Oziewicz, which were presented at the special conference on Graph-Operads-Logic (GOL 2021), selected through peer review to promote his scientific legacy.Professor Oziewicz was a great enthusiast and supporter of category theory and its applications in physics, as well as in various areas of mathematics (topology, noncommutative geometry, etc.). In particular, he made significant contributions to the theory of Frobenius algebras, which now are becoming more important due to their connection with topological quantum field theories that are used in mathematical physics and in quantum topology. Professor Oziewicz was a great and very generous teacher, who immersed his students in the beautiful ideas of category theory as well as mathematical physics and computation. It was his idea to start a series of conferences under the title Graphs-Operads-Logic, most of them held in Mexico, with some of them in the USA, which were a great platform to discuss various ideas connected with category theory and its various applications, and to make friends with other scientists. Despite his passing, the GOL 2021 conference is included in this series to pay tribute to his many contributions to diverse areas of science.The book is laid out in twelve main topics where we can find relevant works from distinguished experts.

Seeing Four-dimensional Space And Beyond: Using Knots!

Seeing Four-dimensional Space And Beyond: Using Knots!
Title Seeing Four-dimensional Space And Beyond: Using Knots! PDF eBook
Author Eiji Ogasa
Publisher World Scientific
Total Pages 173
Release 2023-07-21
Genre Mathematics
ISBN 9811275165

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According to string theory, our universe exists in a 10- or 11-dimensional space. However, the idea the space beyond 3 dimensions seems hard to grasp for beginners. This book presents a way to understand four-dimensional space and beyond: with knots! Beginners can see high dimensional space although they have not seen it.With visual illustrations, we present the manipulation of figures in high dimensional space, examples of which are high dimensional knots and n-spheres embedded in the (n+2)-sphere, and generalize results on relations between local moves and knot invariants into high dimensional space.Local moves on knots, circles embedded in the 3-space, are very important to research in knot theory. It is well known that crossing changes are connected with the Alexander polynomial, the Jones polynomial, HOMFLYPT polynomial, Khovanov homology, Floer homology, Khovanov homotopy type, etc. We show several results on relations between local moves on high dimensional knots and their invariants.The following related topics are also introduced: projections of knots, knot products, slice knots and slice links, an open question: can the Jones polynomial be defined for links in all 3-manifolds? and Khovanov-Lipshitz-Sarkar stable homotopy type. Slice knots exist in the 3-space but are much related to the 4-dimensional space. The slice problem is connected with many exciting topics: Khovanov homology, Khovanv-Lipshits-Sarkar stable homotopy type, gauge theory, Floer homology, etc. Among them, the Khovanov-Lipshitz-Sarkar stable homotopy type is one of the exciting new areas; it is defined for links in the 3-sphere, but it is a high dimensional CW complex in general.Much of the book will be accessible to freshmen and sophomores with some basic knowledge of topology.

Clifford Algebras and Their Applications in Mathematical Physics

Clifford Algebras and Their Applications in Mathematical Physics
Title Clifford Algebras and Their Applications in Mathematical Physics PDF eBook
Author J.S.R. Chisholm
Publisher Springer Science & Business Media
Total Pages 589
Release 2012-12-06
Genre Mathematics
ISBN 9400947283

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William Kingdon Clifford published the paper defining his "geometric algebras" in 1878, the year before his death. Clifford algebra is a generalisation to n-dimensional space of quaternions, which Hamilton used to represent scalars and vectors in real three-space: it is also a development of Grassmann's algebra, incorporating in the fundamental relations inner products defined in terms of the metric of the space. It is a strange fact that the Gibbs Heaviside vector techniques came to dominate in scientific and technical literature, while quaternions and Clifford algebras, the true associative algebras of inner-product spaces, were regarded for nearly a century simply as interesting mathematical curiosities. During this period, Pauli, Dirac and Majorana used the algebras which bear their names to describe properties of elementary particles, their spin in particular. It seems likely that none of these eminent mathematical physicists realised that they were using Clifford algebras. A few research workers such as Fueter realised the power of this algebraic scheme, but the subject only began to be appreciated more widely after the publication of Chevalley's book, 'The Algebraic Theory of Spinors' in 1954, and of Marcel Riesz' Maryland Lectures in 1959. Some of the contributors to this volume, Georges Deschamps, Erik Folke Bolinder, Albert Crumeyrolle and David Hestenes were working in this field around that time, and in their turn have persuaded others of the importance of the subject.

Foreign Trade in Special Economic Zones in Poland

Foreign Trade in Special Economic Zones in Poland
Title Foreign Trade in Special Economic Zones in Poland PDF eBook
Author Jarosław M. Nazarczuk
Publisher UWM w Olsztynie
Total Pages 133
Release 2019-05-17
Genre Business & Economics
ISBN 8381001609

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The monograph summarizes a significant part of the results of the research project entitled “Foreign Trade in Special Economic Zones in Poland”, financed by the National Science Centre in Poland (project no. DEC-2013/11/D/HS4/04007). The project aimed at identifying the real impact of SEZs on Poland’s trade turnover. Its implementation focused on expanding the available scope of knowledge on the impact of the SEZs on the Poland’s trade and has enabled to join in the ongoing national and international academic debate on further functioning of various types of areas of special preference. Moreover, the research permitted for identification of microeconomic determinants of the impact of the SEZs on business entities in terms of their export activities contributing to a wideningof scientific achievements in the field of economics. Readers interested in further exports analyses of SEZs in Poland, are kindly asked to refer to https://nazarczuk.wordpress.com/hzwsse/ or https://www.researchgate.net/project/Foreign-Trade-in-Special-Economic-Zones-in-Poland, where the authors have published electronic versions of publications created within the project. On the above-mentioned websites, we also deposit electronic attachments to this book, which due to their volume and therefore lower readability, have been removed from the paper version of the book. The book covers unique approach to the analysis of foreign trade. It presents a macroeconomic, mesoeconomic and microeconomic perspective on the effects of special economic zones operation with regard to foreign trade to provide a better understanding of consequences of SEZs’ establishment (for country, region or a firm). To the knowledge of the authors, this is the first (so comprehensive) evaluation of SEZs functioning thereof.

Chasing a Mirage

Chasing a Mirage
Title Chasing a Mirage PDF eBook
Author Tarek Fatah
Publisher John Wiley & Sons
Total Pages 446
Release 2008-05-09
Genre Political Science
ISBN

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In Chasing a Mirage, Tarek Fatah Writes: Islamists argue that the period following the passing away of Muhammad was Islam's golden era and that we Muslims need to re-create that caliphate to emulate that political system in today's world. I wish to demonstrate that when Muslims buried the Prophet, they also buried with him many of the universal values of Islam that he had preached. The history of Islam can be described essentially as the history of an unending power struggle, where men have killed each other to claim the mantle of Muhammad. This strife is a painful story that started within hours of the Prophet closing his eyes forever, and needs to be told. I firmly believe the message of the Quran is strong enough to withstand the facts of history. It is my conviction that Muslims are mature and secure in their identities to face the truth. This is that story. Advance Praise for Chasing a Mirage "Tarek Fatah has written a provocative and challenging book which is a must read for anyone who cares about these issues." —Janice Gross Stein "Chasing a Mirage is an extremely valuable contributing to the fight by progressive Muslims against Islamist fascism. This book should be required reading for the Left in the West who have mistakenly started believing that Islamists represent some sort of anti-imperialism." —Farooq Tariq "Fatah argues passionatley for universalism instead of exclusivism, integration instead of ghettoism, and makes a powerful appeal for the silent majority of Muslims to speak out before it is too late. This work of courage and daring needs to be read widely." — Pervez Hoodbhoy "This fascinating work by brave and bri8lliant tarek Fatah is simultaneously thought-provoking, instructive and enlightening for laymen and scholars, Muslims and non-Muslim...an invaluable and rare addition to the corpus of Islamic literature in the post-9/11 world, a bold step towards Islamic Reformation and Enlightenment." —Taj Hashmi "Tarek Fatah's is a voice that needs to be heard. Canada needs a healthy, reasoned debate about the issues he is raising, and indeed so does the world." —Bob Rae "This fascinating work by brae and brilliant Tarek Fatah is simultaneously thought-provoking, instructive and enlightening for laymen and scholars, Muslim and non-Muslim... an invaluable and rare addition to the corpus of Islamic literature in the post-9/11 world, a bold step towards Islamic Reformation and Enlightenment." —Taj Hashmi "Tarek Fatah's is a voice that needs to be heard. Canada needs a healthy, reasoned debate about the issues he is raising, and indeed so does the world." —Bob Rae, Member of Parliament, Canada

Quantization, Coherent States, and Complex Structures

Quantization, Coherent States, and Complex Structures
Title Quantization, Coherent States, and Complex Structures PDF eBook
Author J-P Antoine
Publisher Springer Science & Business Media
Total Pages 289
Release 2013-06-29
Genre Mathematics
ISBN 1489910603

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The XIIIth Bialowieza Summer Workshop was held from July 9 to 15, 1994. While still within the general framework of Differential Geometric Methods in Physics, the XnIth Workshop was expanded in scope to include quantum groups, q-deformations and non-commutative geometry. It is expected that lectures on these topics will now become an integral part of future workshops. In the more traditional areas, lectures were devoted to topics in quantization, field theory, group representations, coherent states, complex and Poisson structures, the Berry phase, graded contractions and some infinite-dimensional systems. Those of us who have taken part in the evolution of the workshops over the years, feel a good measure of satisfaction with the excellent quality of the papers presented, in particular the mathematical rigour and novelty. Each year a significant number of new results are presented and future directions of research are discussed. Their freshness and immediacy inevitably leads to intense discussions and an exchange of ideas in an informal and physically charming environment. The present workshop also had a higher attendance than its predecessors, with ap proximately 65 registered participants. As usual, there was a large number of graduate students and young researchers among them.

Fairy-Tale Films Beyond Disney

Fairy-Tale Films Beyond Disney
Title Fairy-Tale Films Beyond Disney PDF eBook
Author Jack Zipes
Publisher Routledge
Total Pages 356
Release 2015-09-16
Genre Social Science
ISBN 1134628137

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The fairy tale has become one of the dominant cultural forms and genres internationally, thanks in large part to its many manifestations on screen. Yet the history and relevance of the fairy-tale film have largely been neglected. In this follow-up to Jack Zipes’s award-winning book The Enchanted Screen (2011), Fairy-Tale Films Beyond Disney offers the first book-length multinational, multidisciplinary exploration of fairy-tale cinema. Bringing together twenty-three of the world’s top fairy-tale scholars to analyze the enormous scope of these films, Zipes and colleagues Pauline Greenhill and Kendra Magnus-Johnston present perspectives on film from every part of the globe, from Hayao Miyazaki’s Spirited Away, to Jan Švankmajer’s Alice, to the transnational adaptations of 1001 Nights and Hans Christian Andersen. Contributors explore filmic traditions in each area not only from their different cultural backgrounds, but from a range of academic fields, including criminal justice studies, education, film studies, folkloristics, gender studies, and literary studies. Fairy-Tale Films Beyond Disney offers readers an opportunity to explore the intersections, disparities, historical and national contexts of its subject, and to further appreciate what has become an undeniably global phenomenon.