Recent zbMATH articles in MSC 00https://zbmath.org/atom/cc/002021-11-25T18:46:10.358925ZWerkzeugA singular mathematical promenadehttps://zbmath.org/1472.000012021-11-25T18:46:10.358925Z"Ghys, Étienne"https://zbmath.org/authors/?q=ai:ghys.etienneAt the first look, one may feel that the book title is a little bit strange. The word singular in the title refers to the concept of singularity of a curve and does not mean a trip made by an individual person. It is a promenade into the mathematical world. The tour is interesting, entertaining and enjoyable, but it may be little bit difficult for those who have insufficient mathematical knowledge. So some mathematical maturity is required to fully appreciate the beauty presented by the author. When you go through the subjects of it you will find it a wonderfully crafted book. The book consists of 30 chapters. Each chapter provides a rich read. Several chapters are fairly independent from the rest of the book. It is a remarkable achievement in terms of its content, structure, and style. In almost all chapters the author shows excellent examples of mathematical exposition and utilize history to enrich a contemporary mathematical investigations. Actually he weaves historical stories in between the combinatorics, complex analysis, and algebraic geometry \dots etc. and does it all in a very readable and remarkable way. The design of the book is amazing: it contains many pictures and illustrations, scanned manuscripts, references, remarks, all written in the right margin of the pages (so one has the information immediately available). The text contains many historical quotations in different languages, with translations, and interesting analysis of the mathematics of our ``classics'' (Newton, Gauss, Hipparchus \dots etc). Hence the book will please any budding or professional mathematician. I can say that, principally, for professional readers, the book is an enjoyable reading due to the versatility of subjects using too many illustrations and remarks that enriched the concepts of the classical notions. In fact most of the material in the book can be regarded as an advanced undergraduate/early graduate level, even there are some material that is significantly more advanced. One very remarkable aspects of the book is the treat of historical matters. Some of the very classical notions such as the fundamental theorem of algebra, the theory of Puisseux series, the linking number of knots, discrete mathematics, operads, resolution of curve singularities, complex singularities, and more, have been discussed and explained in an enlightening way.
The author of the book, Professor Étienne Ghys, Director of Research at the École Normale Superiere de Lyon, is a skilled, gifted versatile expositor mathematician. He wrote his book in a relaxed, informal manner with lots of exclamation marks, figures, supporting computer graphics and illustrations that are mathematically helpful and visually engaging. It is interesting to know that most of illustrations have been produced by Ghys himself and who has waived all copyright and related or neighboring rights which is a good evidence of Ghys's service towards the dissemination of mathematical ideas. Ghys is a prominent researcher, broadly in geometry and dynamics. He was awarded the Clay Award for Dissemination of Mathematics in 2015.
As the author mentioned in his book, the motivation for writing such an interesting book came from a fact brought to his attention by his colleague, Maxim Kontsevich, in 2009 that relates the relative position of the graphs of four real polynomials under certain conditions imposed on the polynomials. So he begins the book with an attractive theorem of Maxim Kontsevich scribbled for him on a Paris metro ticket who stated it in a nice: Theorem. There do not exist four polynomials \(P_1, \dots , P_4 \in R[x] \) with \(P_1(x) < P_2(x) < P_3(x) < P_4(x)\) for all small negative \(x\), and \(P_2(x) < P_4(x) < P_1(x) < P_3(x)\) for small positive \(x\).
In fact Ghys begins his promenade with this attractive theorem. Amazingly, this result basically characterizes what can or cannot happen for crossings, not only for graphs of arbitrary collections of polynomials, but indeed for all real analytic planar curves. Actually the book explores very different questions related to this problem, and follows on different ramifications. Ghys discussed the more general singularities of algebraic curves in the plane, explaining how the concepts were developed historically. I recommend to assign parts of it as an independent studies for both undergraduate and graduate students.Journey from natural numbers to complex numbershttps://zbmath.org/1472.000022021-11-25T18:46:10.358925Z"Shah, Nita H."https://zbmath.org/authors/?q=ai:shah.nita-h"Vishnuprasad, Thakkar D."https://zbmath.org/authors/?q=ai:vishnuprasad.thakkar-dPublisher's description: This book is for those interested in number systems, abstract algebra, and analysis. It provides an understanding of negative and fractional numbers with theoretical background and explains rationale of irrational and complex numbers in an easy to understand format. This book covers the fundamentals, proof of theorems, examples, definitions, and concepts. It explains the theory in an easy and understandable manner and offers problems for understanding and extensions of concept are included. The book provides concepts in other fields and includes an understanding of handling of numbers by computers. Research scholars and students working in the fields of engineering, science, and different branches of mathematics will find this book of interest, as it provides the subject in a clear and concise way.Mathematical puzzles. Illustrations by Jess Johnsonhttps://zbmath.org/1472.000032021-11-25T18:46:10.358925Z"Winkler, Peter"https://zbmath.org/authors/?q=ai:winkler.peter-mThis is a very well-written book of puzzles (some of which have previously appeared in the literature). The author first lists all the puzzles (many are actually stated as a mathematical question/problem), then gives hints, and then proceeds to give the solutions of the puzzles, which are given in chapters classified by the solution method. Each chapter ends with a non-trivial mathematical result, some of which are not easy to see, but all of which are interesting. The basic prerequisites seem to be only high-school level mathematics, so this book can in principle be enjoyed by anyone with that level of mathematics. In practice however, some of the puzzles are quite difficult and will keep even professional mathematicians busy for a long time.
It is impossible to give an idea about the overall flavour in a short review (there are \(300\) puzzles). So, the reviewer highly recommends taking a look at the book itself which will be enjoyable to a wide range of people, and will let one answer questions such as `On average, who has more sisters, men or women?' and 'What is the first digit after the decimal point in the number \((\sqrt{2}+\sqrt{3})\) raised to the billionth power?'The mathematics of everyday lifehttps://zbmath.org/1472.000042021-11-25T18:46:10.358925Z"Posamentier, Alfred S."https://zbmath.org/authors/?q=ai:posamentier.alfred-s"Spreitzer, Christian"https://zbmath.org/authors/?q=ai:spreitzer.christianThe book uses many examples to show how much mathematics we encounter in everyday life, often without realizing it. It is not organized by mathematical fields, but by the areas in which we encounter mathematics in everyday life: calendar calculations, shopping, sports and games, art and architecture, geography, and construction. The book is aimed primarily at readers with little prior knowledge of mathematics. For most parts, knowledge of basic arithmetic and a little elementary geometry is quite sufficient. Those who know a little more mathematics will encounter little that is new, but many familiar topics: the Fibonacci numbers, the golden ratio, magic squares, the Möbius strip, the Königsberg bridge problem, cryptographic codes, and many more. Nevertheless, the book offers entertaining pleasure to such readers as well.The colors of the squares. Small guide to mathematical astonishmenthttps://zbmath.org/1472.000052021-11-25T18:46:10.358925Z"Taschner, Rudolf"https://zbmath.org/authors/?q=ai:taschner.rudolf-jDieses Buch beschreibt populärwissenschaftlich und unterhaltsam verschiedene mathematische Aspekte, die auf den ersten Blick erstaunlich sind. Im ersten Kapitel geht es um Wahrscheinlichkeiten. Es werden mit Hilfe von einem Kartenspiel Paradoxien vorgestellt und erste Begriffe der Wahrscheinlichkeitstheorie erläutert.
Das zweite Kapitel behandelt die minkowskische Kurve, ein Fraktal. Es wird gezeigt, dass die Randkurve unendliche Länge hat. Anschließend geht es um die Berechnung der Kreiszahl \(\pi\) nach Archimedes und um unendliche Folgen, die divergieren oder konvergieren.
Im nächsten Kapitel geht es um Zahlen. Nach Zahlenfolgen, die sich durch Quadrate und Dreiecke ergeben, werden Prizahlen und Primzahlzwillinge besprochen. Danach werden vollkommene Zahlen und Zahlenmystik diskutiert. Nach einem kurzen Ausflug in die Geometrie seit Euklid werden Abschätzungen zur Anzahl der Primzahlen in endlichen Intervallen dargestellt.
Das vierte Kapitel dreht sich um Anwendungen von Quadratzahlen. Hier spielen der Satz des Pythagoras und rechtwinklige Dreiecke wichtige Rollen.
Im letzten Kapitel wird, nach einiger Vorbereitung, das Banch-Tarski-Paradoxon beschrieben.Book review of: E. Cheng, \(x + y\). A mathematician's manifesto for rethinking genderhttps://zbmath.org/1472.000062021-11-25T18:46:10.358925Z"Borkovitz, Debra K."https://zbmath.org/authors/?q=ai:borkovitz.debra-kReview of [Zbl 1462.01068].Book review of: C. W Oosterlee and L. A. Grzelak, Mathematical modeling and computation in financehttps://zbmath.org/1472.000072021-11-25T18:46:10.358925Z"Borzì, Alfio"https://zbmath.org/authors/?q=ai:borzi.alfioReview of [Zbl 1427.91001].Book review of: D. G. Mayo, Statistical inference as severe testing. How to get beyond the statistics warshttps://zbmath.org/1472.000082021-11-25T18:46:10.358925Z"Bouza, C."https://zbmath.org/authors/?q=ai:bouza-herrera.carlos-narcisoReview of [Zbl 1400.62002].Books review of: P. Müller et al., Bayesian nonparametric data analysishttps://zbmath.org/1472.000092021-11-25T18:46:10.358925Z"Bouza, C. N."https://zbmath.org/authors/?q=ai:bouza-herrera.carlos-narcisoReview of [Zbl 1333.62003].Book review of: E. Brown and R. K. Guy, The unity of combinatoricshttps://zbmath.org/1472.000102021-11-25T18:46:10.358925Z"Calkin, Neil"https://zbmath.org/authors/?q=ai:calkin.neil-j"Mulcahy, Colm"https://zbmath.org/authors/?q=ai:mulcahy.colmReview of [Zbl 1458.05001].Book review of: B. Rubin, Introduction to Radon transforms. With elements of fractional calculus and harmonic analysishttps://zbmath.org/1472.000112021-11-25T18:46:10.358925Z"de Graaf, Jan"https://zbmath.org/authors/?q=ai:de-graaf.janReview of [Zbl 1333.44002].Book review of: G.-M. Greuel et al., Singular algebraic curveshttps://zbmath.org/1472.000122021-11-25T18:46:10.358925Z"Degtyarev, Alex"https://zbmath.org/authors/?q=ai:degtyarev.alexReview of [Zbl 1411.14001].Book review of: S. Witherspoon, Hochschild cohomology for algebrashttps://zbmath.org/1472.000132021-11-25T18:46:10.358925Z"Erdmann, Karin"https://zbmath.org/authors/?q=ai:erdmann.karinReview of [Zbl 1462.16002].Book review of: J. R. Carey and D. A. Roach, Biodemography. An introduction to concepts and methodshttps://zbmath.org/1472.000142021-11-25T18:46:10.358925Z"Ezard, Thomas H. G."https://zbmath.org/authors/?q=ai:ezard.thomas-h-gReview of [Zbl 1468.91002].Counting books and beyond: some mathematical books for childrenhttps://zbmath.org/1472.000152021-11-25T18:46:10.358925Z"Harriss, Edmund"https://zbmath.org/authors/?q=ai:harriss.edmundReview [\textit{R. E. Schwartz}, Really big numbers. Providence, RI: American Mathematical Society (AMS) (2014; Zbl 1341.00013)] and other books (not in zbMATH Open).Book review of: F. Brauer et al., Mathematical models in epidemiologyhttps://zbmath.org/1472.000162021-11-25T18:46:10.358925Z"Hickson, Roslyn"https://zbmath.org/authors/?q=ai:hickson.roslyn-iReview of [Zbl 1433.92001].Book review of: G. Glaeser (ed.), 77-mal Mathematik für zwischendurch. Unterhaltsame Kuriositäten und unorthodoxe Anwendungenhttps://zbmath.org/1472.000172021-11-25T18:46:10.358925Z"Hilgert, Joachim"https://zbmath.org/authors/?q=ai:hilgert.joachimReview of [Zbl 1462.00006].Book review of: E. Maor, Music by the numbers: from Pythagoras to Schoenberghttps://zbmath.org/1472.000182021-11-25T18:46:10.358925Z"Holden, Joshua"https://zbmath.org/authors/?q=ai:holden.joshua-brandonReview of [Zbl 1387.00018].Book review of: C. Proust (ed.) and J. M. Steel (ed.), Scholars and scholarship in late Babylonian Urukhttps://zbmath.org/1472.000192021-11-25T18:46:10.358925Z"Høyrup, Jens"https://zbmath.org/authors/?q=ai:hoyrup.jensReview of [Zbl 1412.01007].Book review of: S. Cobzaş et al., Lipschitz functions.https://zbmath.org/1472.000202021-11-25T18:46:10.358925Z"Kunzinger, M."https://zbmath.org/authors/?q=ai:kunzinger.michaelReview of [Zbl 1431.26002].Book review of: S. Alexander et al., An invitation to Alexandrov geometry. CAT(0) spaces.https://zbmath.org/1472.000212021-11-25T18:46:10.358925Z"Kunzinger, M."https://zbmath.org/authors/?q=ai:kunzinger.michaelReview of [Zbl 1433.53065].Book review of: J.-F. Emmenegger et al., Sraffa and Leontief revisited. Mathematical methods and models of a circular economyhttps://zbmath.org/1472.000222021-11-25T18:46:10.358925Z"Leuenberger, Chr."https://zbmath.org/authors/?q=ai:leuenberger.christophReview of [Zbl 1455.91002].Book review of: J. Feke, Ptolemy's philosophy. Mathematics as a way of lifehttps://zbmath.org/1472.000232021-11-25T18:46:10.358925Z"Longa, Gianluca"https://zbmath.org/authors/?q=ai:longa.gianlucaReview of [Zbl 1397.00030].Book review of: R. Arianrhod, Thomas Harriot. A life in sciencehttps://zbmath.org/1472.000242021-11-25T18:46:10.358925Z"Mac an Bhaird, Ciarán"https://zbmath.org/authors/?q=ai:mac-an-bhaird.ciaranReview of [Zbl 1445.01001].Book review of: M. Harris, La mathématique, une vocation problématiquehttps://zbmath.org/1472.000252021-11-25T18:46:10.358925Z"Maclean, Catriona"https://zbmath.org/authors/?q=ai:maclean.catrionaReview of [Zbl 1435.00005].Book review of: M. C. Bustamante De la Ossa, À l'aube de la théorie des quanta. Notes inédites d'Émile Borel sur un cours de Paul Langevin au Collège de France (1912--1913).https://zbmath.org/1472.000262021-11-25T18:46:10.358925Z"Mazliak, Laurent"https://zbmath.org/authors/?q=ai:mazliak.laurentReview of [Zbl 1439.81005].Book review of: Y. Bugeaud, Linear forms in logarithms and applicationshttps://zbmath.org/1472.000272021-11-25T18:46:10.358925Z"Moree, Pieter"https://zbmath.org/authors/?q=ai:moree.pieterReview of [Zbl 1394.11001].Book review of: J. Lenhard (ed.) and M. Carrier (ed.), Mathematics as a tool. Tracing new roles of mathematics in the scienceshttps://zbmath.org/1472.000282021-11-25T18:46:10.358925Z"Muthsam, H."https://zbmath.org/authors/?q=ai:muthsam.herbert-jReview of [Zbl 1372.00052].Book review of: S. Wagner and H. Wang, Introduction to chemical graph theoryhttps://zbmath.org/1472.000292021-11-25T18:46:10.358925Z"Rada, Juan"https://zbmath.org/authors/?q=ai:rada.juanReview of [Zbl 1409.92002].Book review of: E. Behrends, The math behind the magic. Fascinating card and number tricks and how they workhttps://zbmath.org/1472.000302021-11-25T18:46:10.358925Z"Rindler, H."https://zbmath.org/authors/?q=ai:rindler.haraldReview of [Zbl 1415.00001].Book review of: Á. Cartea et al., Algorithmic and high-frequency tradinghttps://zbmath.org/1472.000312021-11-25T18:46:10.358925Z"Rosenbaum, Mathieu"https://zbmath.org/authors/?q=ai:rosenbaum.mathieuReview of [Zbl 1332.91001].Book review of: M. Khachay (ed.) et al., Mathematical optimization theory and operations researchhttps://zbmath.org/1472.000322021-11-25T18:46:10.358925Z"Sautto, J. M."https://zbmath.org/authors/?q=ai:sautto.jose-mReview of [Zbl 1428.90005].Book review of: E. J. Beggs and S. Majid, Quantum Riemannian geometryhttps://zbmath.org/1472.000332021-11-25T18:46:10.358925Z"Schenkel, Alexander"https://zbmath.org/authors/?q=ai:schenkel.alexanderReview of [Zbl 1436.53001].Book review of: M. N. M. van Lieshout, Theory of spatial statistics. A concise introductionhttps://zbmath.org/1472.000342021-11-25T18:46:10.358925Z"Schoenberg, Frederic P."https://zbmath.org/authors/?q=ai:schoenberg.frederic-paikReview of [Zbl 1462.62003].Book review of: U. C. Merzbach, Dirichlet. A mathematical biographyhttps://zbmath.org/1472.000352021-11-25T18:46:10.358925Z"Schubring, Gert"https://zbmath.org/authors/?q=ai:schubring.gertReview of [Zbl 1412.01003].Book review of: L. Barreira and C. Valls, Dynamical systems by examplehttps://zbmath.org/1472.000362021-11-25T18:46:10.358925Z"Teschl, G."https://zbmath.org/authors/?q=ai:teschl.geraldReview of [Zbl 1421.37001].Book review of: A. Pietruszczak, Foundations of the theory of parthood. A study of mereologyhttps://zbmath.org/1472.000372021-11-25T18:46:10.358925Z"Tkaczyk, Marcin"https://zbmath.org/authors/?q=ai:tkaczyk.marcinReview of [Zbl 1461.03003].Book review of: B. Hutz, An experimental introduction to number theoryhttps://zbmath.org/1472.000382021-11-25T18:46:10.358925Z"Verhoeff, Tom"https://zbmath.org/authors/?q=ai:verhoeff.tomReview of [Zbl 1443.11001].Book review of: M. Hudec, Fuzziness in information systems. How to deal with crisp and fuzzy data in selection, classification, and summarizationhttps://zbmath.org/1472.000392021-11-25T18:46:10.358925Z"Vujošević, Mirko"https://zbmath.org/authors/?q=ai:vujosevic.mirkoReview of [Zbl 1467.68001].Book review of: J. Fan et al., Statistical foundations of data sciencehttps://zbmath.org/1472.000402021-11-25T18:46:10.358925Z"Wang, Weining"https://zbmath.org/authors/?q=ai:wang.weiningReview of [Zbl 1467.62001].Book review of: K. Fujiwara and F. Kato, Foundations of rigid geometry. Ihttps://zbmath.org/1472.000412021-11-25T18:46:10.358925Z"Wedhorn, Torsten"https://zbmath.org/authors/?q=ai:wedhorn.torstenReview of [Zbl 1400.14001].Book review of: U. Daepp et al., Finding ellipses. What Blaschke products, Poncelet's theorem, and the numerical range know about each other.https://zbmath.org/1472.000422021-11-25T18:46:10.358925Z"Zeytuncu, Yunus E."https://zbmath.org/authors/?q=ai:zeytuncu.yunus-ergynReview of [Zbl 1419.51001].Impurity in contemporary mathematicshttps://zbmath.org/1472.000432021-11-25T18:46:10.358925Z"Lehet, Ellen"https://zbmath.org/authors/?q=ai:lehet.ellenThe author argues that, while proof purity -- the requirement that proofs use only the notions of theory they a are part of -- appeals to philosophically minded mathematical logicians or had an appeal in the somewhat distant past to mathematicians, in contemporary mathematics -- for which she chooses the examples of algebraic topology and category theory -- there is not only no concern whatsoever with purity of proofs, but quite the contrary, a much deeper explanatory power is attributed to impure proofs under the banner of \textit{unification}, such as category-theoretic proofs that show why disparate results in different fields of mathematics are true, or algebraic topology proofs that illuminate purely topological phenomena.Gauge models of musical forceshttps://zbmath.org/1472.000442021-11-25T18:46:10.358925Z"Blutner, Reinhard"https://zbmath.org/authors/?q=ai:blutner.reinhard"Graben, Peter Beim"https://zbmath.org/authors/?q=ai:beim-graben.peterSummary: Metaphors involving motion and forces are a source of inspiration for understanding tonal music and tonal harmonies since ancient times. Starting with the rise of quantum cognition, the modern interactional conception of forces as developed in gauge theory has recently entered the field of theoretical musicology. We develop a gauge model of tonal attraction based on $\mathrm{SU}(2)$ symmetry. This model comprises two earlier attempts, the phase model grounded on $\mathrm{U}(1)$ gauge symmetry, and the spatial deformation model derived from $\mathrm{SO}(2)$ gauge symmetry. In the neutral, force-free case both submodels agree and generate the same predictions as a simple qubit approach. However, there are several differences in the force-driven case. It is claimed that the deformation model gives a proper description of static tonal attraction. The full model combines the deformation model with the phase model through $\mathrm{SU}(2)$ gauge symmetry and unifies static and dynamic tonal attraction.Quantum GestART: identifying and applying correlations between mathematics, art, and perceptual organizationhttps://zbmath.org/1472.000452021-11-25T18:46:10.358925Z"Mannone, Maria"https://zbmath.org/authors/?q=ai:mannone.maria"Favali, Federico"https://zbmath.org/authors/?q=ai:favali.federico"Di Donato, Balandino"https://zbmath.org/authors/?q=ai:di-donato.balandino"Turchet, Luca"https://zbmath.org/authors/?q=ai:turchet.lucaSummary: Mathematics can help analyze the arts and inspire new artwork. Mathematics can also help make transformations from one artistic medium to another, considering exceptions and choices, as well as artists' individual and unique contributions. We propose a method based on diagrammatic thinking and quantum formalism. We exploit decompositions of complex forms into a set of simple shapes, discretization of complex images, and Dirac notation, imagining a world of ``prototypes'' that can be connected to obtain a fine or coarse-graining approximation of a given visual image. Visual prototypes are exchanged with auditory ones, and the information (position, size) characterizing visual prototypes is connected with the information (onset, duration, loudness, pitch range) characterizing auditory prototypes. The topic is contextualized within a philosophical debate (discreteness and comparison of apparently unrelated objects), it develops through mathematical formalism, and it leads to programming, to spark interdisciplinary thinking and ignite creativity within STEAM.Chaotic and Euclidean rhythmshttps://zbmath.org/1472.000462021-11-25T18:46:10.358925Z"Pigozzi, Davide"https://zbmath.org/authors/?q=ai:pigozzi.davideSummary: The article shows a dichotomy between even rhythms and chaotic rhythms from a mathematical point of view. The main purpose of this article is to acquaint the reader with some mathematical structures inside rhythm; it should help music composers and performers to make them aware of the idea that mathematics can simplify complex visions.Quantifying patterns in art and naturehttps://zbmath.org/1472.000472021-11-25T18:46:10.358925Z"Balmages, Amanda"https://zbmath.org/authors/?q=ai:balmages.amanda"Schiffman, Lucille"https://zbmath.org/authors/?q=ai:schiffman.lucille"Lyle, Adam"https://zbmath.org/authors/?q=ai:lyle.adam"Lustig, Elijah"https://zbmath.org/authors/?q=ai:lustig.elijah"Narendra-Babu, Kavya"https://zbmath.org/authors/?q=ai:narendra-babu.kavya"Elul, Tamira"https://zbmath.org/authors/?q=ai:elul.tamiraSummary: Many different types of artworks mimic the properties of natural fractal patterns -- in particular, statistical self-similarity at different scales. Here, we describe examples of abstract art created by us and well-known artists such as Ruth Asawa and Sam Francis that evoke the repetition and variability of biological forms. We review the `drip' paintings of Jackson Pollock that display statistical self-similarity at varying scales, and discuss studies that measured the fractal dimension of Pollock's drip paintings. The contemporary environmental artist Edward Burtynsky who captures aerial photographs of man-created and man-altered landscapes that resemble natural patterns is also discussed. We measure fractal dimension and a second shape parameter -- fractional concavity -- for borders in three of Burtynsky's photographs of man-made landscapes and of biological tissues that resemble his compositions. This specifies the complexity of patterns in Burtynsky's photographs of diverse man-impacted landscapes and underscores their similarity to fractal patterns found in nature.Polyhedral symmetry from ribbons and tubeshttps://zbmath.org/1472.000482021-11-25T18:46:10.358925Z"Boyden, Wilder"https://zbmath.org/authors/?q=ai:boyden.wilder"Farris, Frank A."https://zbmath.org/authors/?q=ai:farris.frank-aSummary: A \textit{sepak takraw} -- a ball used for a game in Thailand -- is an icosahedrally symmetric shape woven from six bands of rattan. We model it with a multi-parameter family of surfaces, all having icosahedral symmetry. This leads us to ask and answer the question: In how many other ways can we arrange some number of bands in space to create polyhedral symmetry. Our models resemble objects created by other artists; the difference here is that we use Fourier series and focus on the role of the symmetry group. Our general formulas describe a large space of potentially wonderful designs. The instructions always lead to symmetry, but perhaps bad design, until one experiments by altering the parameters. The shapes produced by this method are suitable for artistic development as digital prints or 3D sculptures. We hope that our recipes will empower readers to create their own artistic renditions.Eigenvector visualization and arthttps://zbmath.org/1472.000492021-11-25T18:46:10.358925Z"Griffith, Daniel A."https://zbmath.org/authors/?q=ai:griffith.daniel-aSummary: Existing interfaces between mathematics and art, and geography and art, began overlapping in recent years. This newer overarching intersection partly is attributable to the scientific visualization of the concept of an eigenvector from the subdiscipline of matrix algebra. Spectral geometry and signal processing expanded this overlap. Today, novel applications of the statistical Moran eigenvector spatial filtering (MESF) methodology to paintings accentuates and exploits spatial autocorrelation as a fundamental element of art, further expanding this overlap. This paper studies MESF visualizations by compositing identified relevant spatial autocorrelation components, examining a particular Van Gogh painting for the first time, and more intensely re-examining several paintings already evaluated with MESF techniques. Findings include: painting replications solely based upon their spatial autocorrelation components as captured and visualized by certain eigenvectors are visibly indistinguishable from their original counterparts; and, spatial autocorrelation supplies measurements allowing a differentiation of paintings, a potentially valuable discovery for art history.Dynamic symmetry: a history and analysishttps://zbmath.org/1472.000502021-11-25T18:46:10.358925Z"Wilson, J."https://zbmath.org/authors/?q=ai:wilson.joseph-n|wilson.james-b|wilson.james-f|wilson.john-s|wilson.john-cook|wilson.julia-m|wilson.john-t|wilson.josh|wilson.jennifer-m|wilson.john-g|wilson.jeffrey-r|wilson.john-k|wilson.jessica|wilson.jason-r|wilson.james-t.1|wilson.j-m|wilson.john-douglas|wilson.james-r|wilson.john-david|wilson.j-p|wilson.james-m|wilson.jill-hardin|wilson.josephine|wilson.joshua|wilson.john-l|wilson.john-o-s|wilson.james-d|wilson.james-a|wilson.jon|wilson.jack-charles|wilson.james-harold|wilson.julie|wilson.jamie-r|wilson.j-michael|wilson.john-n|wilson.john-m|wilson.jennifer-c-h|wilson.jack-w|wilson.j-todd|wilson.juliaSummary: We discuss a number of the mathematical ideas behind Dynamic Symmetry, an approach to design championed by Jay Hambidge and popular in the 1920s and 1930s. We discuss Hambidge's interest in the geometry of root rectangles and the golden ratio, and how Dynamic Symmetry influenced a generation of artists and art and mathematics educators.Data science in Industry 4.0https://zbmath.org/1472.000512021-11-25T18:46:10.358925Z"Coleman, Shirley Y."https://zbmath.org/authors/?q=ai:coleman.shirley-ySummary: Data science is piquing the interest of many large and small organisations and managers are asking universities for information and advice. Typically, the query is: I have many sensors and many measurements, what shall I do with all this data, and how can I get ready for Industry 4.0? The so-called fourth industrial revolution refers to automation and control based on data exchange in a digital environment where measurements are available on all aspects of production. Data science plays an intrinsic role in this scenario and is focused on understanding and using data. Data science requires a challenging mix of capability in data analytics and information technology, and business know-how. Statisticians need to work with computer scientists; data analytics includes machine learning and statistical analysis and these extract meaning from data in different ways. Moving towards increased use of data requires buy in from higher management and board members. Although serious progress involves a holistic approach, exemplars demonstrating potential value are also beneficial. This talk considers the implications for mathematicians and statisticians of the growing industrial demands and discusses examples from ongoing research projects with industrial partners where data visualisation, multivariate statistical process control charts and funnel plots have made an important contribution.
For the entire collection see [Zbl 1467.00014].Editorial for special issue: Vector autoregressionshttps://zbmath.org/1472.000522021-11-25T18:46:10.358925Z"Mavroeidis, Sophocles"https://zbmath.org/authors/?q=ai:mavroeidis.sophoclesFrom the text: This themed issue puts together six papers that lie on the frontier of VAR research spanning a wide range of topics from
identification to inference. Half of the papers use Bayesian methods in line with the recent trend in the literature.Preface of special issue on computational and industrial mathematics.https://zbmath.org/1472.000532021-11-25T18:46:10.358925Z"Yuan, Jinyun"https://zbmath.org/authors/?q=ai:yuan.jinyunFrom the text: The Foz2018-Congress of Mathematics and its Applications, consisting of 4 ICM satellite conferences, was held at the International Gold Park Hotel, July 23--27, 2018, in the Brazilian City of Fozdelguaçu. One of ICM satellite conference: International Conference on Industrial Mathematics was dedicated to the 70th Anniversary of Professor Jose Mario Martinez, the 60th Anniversary of Professor Jinyun Yuan, and Professor Jose Alberto Cuminato respectively. The present volume is for the 4th Brazil-China Symposium on Applied and Computational Mathematics and the International Conference on Industrial Mathematics, and contains 27 selected papers essentially devoted to Computational Mathematics, Industrial Mathematics and its Applications.Studies on the ancient exact science in honor of Lis Brack-Bernsenhttps://zbmath.org/1472.010052021-11-25T18:46:10.358925Z"Steele, John M."https://zbmath.org/authors/?q=ai:steele.john-m"Ossendrijver, Mathieu"https://zbmath.org/authors/?q=ai:ossendrijver.mathieuThe articles of this volume will be reviewed individually.
Indexed articles:
\textit{Steele, John M.}, Introduction, 7-9 [Zbl 07423351]
\textit{Roughton, Norbert A.}, Foreword: An essay in story form, honoring Babylonian astronomers and connecting them with scholars who study the tablets today, 11-15 [Zbl 07423352]
\textit{Huber, Peter J.}, Dating by month-lengths revisited, 19-68 [Zbl 07423353]
\textit{Steele, John M.}, A text containing observations of Mars from the time of Nebuchadnezzar II, 69-81 [Zbl 07423354]
\textit{Graßhoff, Gerd; Wenger, Erich}, The coordinate system of astronomical observations in the Babylonian diaries, 83-103 [Zbl 07423355]
\textit{de Jong, Teije}, On the origin of the lunar and solar periods in Babylonian lunar theory, 105-126 [Zbl 07423356]
\textit{Ossendrijver, Mathieu}, BM 76488 -- a Babylonian compendium about conjunctions and other planetary phenomena, 127-146 [Zbl 07423357]
\textit{Hunger, Hermann}, The so-called report on seasonal hours (K 2077+): a new interpretation, 149-163 [Zbl 07423358]
\textit{Rinner, Elisabeth}, Ancient Greek sundials and the theory of conic sections reconsidered, 165-182 [Zbl 07423359]
\textit{Jones, Alexander R.}, The roofed spherical sundial and the Greek geometry of curves, 183-203 [Zbl 07423360]
\textit{Høyrup, Jens}, Practitioners -- school teachers -- `mathematicians': the divisions of pre-modern mathematics and its actors, 207-224 [Zbl 07423361]
\textit{Horowitz, Wayne; Steele, John M.}, A mysterious circular tablet with numbers and stars, 225-232 [Zbl 07423362]
\textit{Rochberg, Francesca}, An ancient celestial empire of benevolent knowledge, 233-260 [Zbl 07423363]
In honor of Lis Brack-Bernsen, 263-269 [Zbl 07423364]Book illustrations and the development of Japanese mathematics in the 1620shttps://zbmath.org/1472.010112021-11-25T18:46:10.358925Z"Kitagawa, Tomoko L."https://zbmath.org/authors/?q=ai:kitagawa.tomoko-lSummary: In the 1620s, two books on mathematics were published in Kyoto. This article describes the cultural, religious, and commercial activities surrounding their publications and examines their contents, illustrations, and diagrams. Looking successively at several illustrations from the two books, we will see the gradual process of creating a new domain of study, mathematics, in Japan.Cantor and continuityhttps://zbmath.org/1472.010142021-11-25T18:46:10.358925Z"Kanamori, Akihiro"https://zbmath.org/authors/?q=ai:kanamori.akihiroThe author describes in detail Cantor's work on sets and number as well as his struggle for forming the concepts of limit and continuity. Especially, he wants to point out the changes and transmutations of this changes as a result of the progress of mathematics, and compelled by this progress. Moreover, he intends to demonstrate the difficulties of this process of conceptualization and to show the arduous way to our basis of transfinite numbers, continuity and set theory.
For the entire collection see [Zbl 1454.01002].Ludwig Wittgenstein. Vienna edition. Vol. 7. Synopsis of manuscript volumes I--IV. Edited by Michael Nedohttps://zbmath.org/1472.010282021-11-25T18:46:10.358925Z"Wittgenstein, Ludwig"https://zbmath.org/authors/?q=ai:wittgenstein.ludwigVolume 7 of the Vienna edition of the writings of Ludwig Wittgenstein presents a reconstruction and critical edition of typescripts TS 208 and TS 210 containing the synopsis of the manuscript volumes I to IV edited in Vol.\ 1 and 2 of the Vienna edition. The synopsis was dictated in 1930. The remarks were then used to rearrange cuttings from the typescripts. TS 208, e.g., was reworked to TS 209 which became the textual basis for Rush Rhees' 1964 edition of the book [\textit{L. Wittgenstein}, Philosophische Bemerkungen. Oxford: Blackwell (1964)]. The volume is introduced by the editor giving details on the historical circumstances of the formation of the synopsis and the way Wittgenstein worked with it. It ends with a usefull stemma, relating manuscripts, typescripts, cuttings and editions to one another (p.\ XVI).\par The synopsis edited in this volume contains comprehensive observations, remarks and problems (questions) concerning the philosophy of mathematics and logic, among them the role of mathematics, the epistemology of mathematics, the nature of mathematical objects, the function of symbols, rule following, Brouwer's intuitionism, and further topics. The volume helps to reconstruct the development of Wittgenstein's thought from his early \textit{Tractatus logico-philosophicus} to his later work.Handbook of computability and complexity in analysishttps://zbmath.org/1472.030012021-11-25T18:46:10.358925Z"Brattka, Vasco"https://zbmath.org/authors/?q=ai:brattka.vasco"Hertling, Peter"https://zbmath.org/authors/?q=ai:hertling.peter-hPublisher's description: Computable analysis is the modern theory of computability and complexity in analysis that arose out of Turing's seminal work in the 1930s. This was motivated by questions such as: which real numbers and real number functions are computable, and which mathematical tasks in analysis can be solved by algorithmic means?
Nowadays this theory has many different facets that embrace topics from computability theory, algorithmic randomness, computational complexity, dynamical systems, fractals, and analog computers, up to logic, descriptive set theory, constructivism, and reverse mathematics. In recent decades computable analysis has invaded many branches of analysis, and researchers have studied computability and complexity questions arising from real and complex analysis, functional analysis, and the theory of differential equations, up to (geometric) measure theory and topology.
This handbook represents the first coherent cross-section through most active research topics on the more theoretical side of the field. It contains 11 chapters grouped into parts on computability in analysis; complexity, dynamics, and randomness; and constructivity, logic, and descriptive complexity. All chapters are written by leading experts working at the cutting edge of the respective topic. Researchers and graduate students in the areas of theoretical computer science and mathematical logic will find systematic introductions into many branches of computable analysis, and a wealth of information and references that will help them to navigate the modern research literature in this field.
The articles of this volume will be reviewed individually.Probabilistic extensions of various logical systemshttps://zbmath.org/1472.030022021-11-25T18:46:10.358925Z"Ognjanović, Zoran"https://zbmath.org/authors/?q=ai:ognjanovic.zoranPublisher's description: The contributions in this book survey results on combinations of probabilistic and various other classical, temporal and justification logical systems. Formal languages of these logics are extended with probabilistic operators. The aim is to provide a systematic overview and an accessible presentation of mathematical techniques used to obtain results on formalization, completeness, compactness and decidability. The book will be of value to researchers in logic and it can be used as a supplementary text in graduate courses on non-classical logics.
The articles of this volume will be reviewed individually.The semantic conception of logic. Essays on consequence, invariance, and meaninghttps://zbmath.org/1472.030032021-11-25T18:46:10.358925Z"Sagi, Gil"https://zbmath.org/authors/?q=ai:sagi.gil"Woods, Jack"https://zbmath.org/authors/?q=ai:woods.jackPublisher's description: This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
The articles of mathematical interest will be reviewed individually.Judgements and truth. Essays in honour of Jan Woleńskihttps://zbmath.org/1472.030042021-11-25T18:46:10.358925Z"Schumann, Andrew"https://zbmath.org/authors/?q=ai:schumann.andrewPublisher's description: Jan Woleński is known due to his works on epistemological aspects of logic and his systematization of semantic truth theory.
He became the successor and the worthy continuer of prominent Polish logicians: Alfred Tarski and Kazimierz Ajdukiewicz. This volume is collected on the 80th anniversary of Woleński's birth and draws together new research papers devoted to judgments and truth.
These papers take measure of the scope and impact of Woleński's views on truth conceptions, and present new contributions to the field of philosophy and logic.
The articles of this volume will be reviewed individually.Hintikka and the functions of logichttps://zbmath.org/1472.030072021-11-25T18:46:10.358925Z"Link, Montgomery"https://zbmath.org/authors/?q=ai:link.montgomerySummary: Jaakko Hintikka (1929--2015) points out the power of Skolem functions to affect both what there is and what we know. There is a tension in his presupposition that these functions actually extend the realm of logic. He claims to have resolved the tension by ``reconstructing constructivism'' along epistemological lines, instead of by a typical ontological construction; however, after the collapse of the distinction between first and second order, that resolution is not entirely satisfactory. Still, it does throw light on the conceptual analysis Hintikka proposes.The genesis of the Langlands programhttps://zbmath.org/1472.110052021-11-25T18:46:10.358925Z"Mueller, Julia"https://zbmath.org/authors/?q=ai:mueller.julia-h"Shahidi, Freydoon"https://zbmath.org/authors/?q=ai:shahidi.freydoonPublisher's description: Robert Langlands formulated his celebrated conjectures, initiating the Langlands Program, at the age of 31, profoundly changing the landscape of mathematics. Langlands, recipient of the Abel Prize, is famous for his insight in discovering links among seemingly dissimilar objects, leading to astounding results. This book is uniquely designed to serve a wide range of mathematicians and advanced students, showcasing Langlands' unique creativity and guiding readers through the areas of Langlands' work that are generally regarded as technical and difficult to penetrate.
Part 1 features non-technical personal reflections, including Langlands' own words describing how and why he was led to formulate his conjectures. Part 2 includes survey articles of Langlands' early work that led to his conjectures, and centers on his principle of functoriality and foundational work on the Eisenstein series, and is accessible to mathematicians from other fields. Part 3 describes some of Langlands' contributions to mathematical physics.
The articles of this volume will be reviewed individually.Hopf algebras and tensor categories. International workshop, Nanjing University, Nanjing, China, September 9--13, 2019https://zbmath.org/1472.160012021-11-25T18:46:10.358925Z"Andruskiewitsch, Nicolás"https://zbmath.org/authors/?q=ai:andruskiewitsch.nicolas"Liu, Gongxiang"https://zbmath.org/authors/?q=ai:liu.gongxiang"Montgomery, Susan"https://zbmath.org/authors/?q=ai:montgomery.susan"Zhang, Yinhuo"https://zbmath.org/authors/?q=ai:zhang.yinhuoPublisher's description: Articles in this volume are based on talks given at the International Workshop on Hopf Algebras and Tensor Categories, held from September 9--13, 2019, at Nanjing University, Nanjing, China.
The articles highlight the latest advances and further research directions in a variety of subjects related to tensor categories and Hopf algebras.
Primary topics discussed in the text include the classification of Hopf algebras, structures and actions of Hopf algebras, algebraic supergroups, representations of quantum groups, quasi-quantum groups, algebras in tensor categories, and the construction method of fusion categories.
The articles of this volume will be reviewed individually.Iterated inversion system: an algorithm for efficiently visualizing Kleinian groups and extending the possibilities of fractal arthttps://zbmath.org/1472.280102021-11-25T18:46:10.358925Z"Nakamura, Kento"https://zbmath.org/authors/?q=ai:nakamura.kentoSummary: Kleinian group theory is a branch of mathematics. A visualized Kleinian group often presents a beautiful fractal structure and provides clues for understanding Möbius transformations the mathematical properties of the group. However, it often takes much time to render images of Kleinian groups on a computer. Thus, we propose an efficient algorithm for visualizing some kinds of Kleinian groups: the Iterated Inversion System (IIS), which enables us to render images of Kleinian groups composed of inversions as circles or spheres in real-time. Real-time rendering has various applications; for example, the IIS can be used for experimentation in Kleinian group theory and the creation of mathematical art. The algorithm can also be used to draw both two-dimensional and three-dimensional fractals. The algorithm can extend the possibilities of art originating from Kleinian groups. In this paper, we discuss Kleinian fractals from an artistic viewpoint.Some remarks on the weak maximizing propertyhttps://zbmath.org/1472.460052021-11-25T18:46:10.358925Z"Dantas, Sheldon"https://zbmath.org/authors/?q=ai:dantas.sheldon"Jung, Mingu"https://zbmath.org/authors/?q=ai:jung.mingu"Martínez-Cervantes, Gonzalo"https://zbmath.org/authors/?q=ai:martinez-cervantes.gonzaloA pair \((E,F)\) of Banach spaces is said to have the {\em weak maximizing property} (wmp) if for every bounded linear operator \(T:E \to F\), \(T\) attains its norm whenever there is a non-weakly null sequence \((x_n)\) of norm one vectors such that \(\| T(x_n)\| \to \|T\|\). The idea for this property comes from a paper by \textit{D.~Pellegrino} and \textit{E.~V. Teixeira} [Bull. Braz. Math. Soc. (N.S.) 40, No.~3, 417--431 (2009; Zbl 1205.47012)], and it was recently adapted by \textit{R.~M. Aron} et al. [Proc. Am. Math. Soc. 148, No.~2, 741--750 (2020; Zbl 1442.46007)]. The latter paper contained several open questions, a number of which are addressed here.
For instance, although it was known that the pair \((\ell_p,\ell_q)\) has the wmp (\(1 < p < \infty$, $1 \leq q < \infty\)), it was unknown whether a similar property holds for \((L_p[0,1],L_q[0,1])\). The authors show that, in fact, wmp fails for \(p > 2\) or \(q < 2\). Among others, this result is a consequence of the authors' main result.
Theorem. Let \(E, F, X\), and \(Y\) be non-trivial Banach spaces such that not every bounded linear operator \(E \to F\) attains its norm. Then (i) whenever \(1 \leq q < p < \infty\), the pair \((E \oplus_p X, F \oplus_q Y)\) fails the wmp, and (ii) \((E \oplus_\infty X, F)\) fails the wmp. On the other hand, \((\ell_s \oplus_p \ell_p, \ell_s \oplus_q \ell_q)\) has the wmp if and only if \(1 < p \leq s \leq q < \infty\).
A number of interesting questions remain, such as: If \(E\) is a reflexive Banach space such that \((E,F)\) has the wmp for every \(F\), does it follow that \(E\) is finite dimensional? Also, the following is known: if the pair \((E, F)\) has the wmp, then an operator \(T +K\) attains its norm whenever a bounded linear operator \(T:E \to F\) and a compact operator \(K:E \to F\) satisfy \(\|T\| < \|T + K\|\). On the other hand, the authors note that the following converse is open: Let \(E\) and \(F\) be reflexive. Suppose that whenever \(T:E \to F\) (resp., \(K:E \to F\)) is a bounded (resp., compact) linear operator such that if \(\|T\| < \|T + K\|\), then necessarily \(T + K\) attains its norm. Does it follow that the pair \((E,F)\) has the wmp?Nonlinear weakly sequentially continuous embeddings between Banach spaceshttps://zbmath.org/1472.460202021-11-25T18:46:10.358925Z"Braga, B. M."https://zbmath.org/authors/?q=ai:de-mendonca-braga.brunoThe fundamental question of nonlinear geometry of Banach spaces is to determine to what extent the metric structure of a Banach space determines the linear structure of the space. One aspect of this is to study various types of nonlinear embeddings of one Banach space into another.
Let \((M_1,d_1)\) and \((M_2,d_2)\) be metric spaces and suppose \(f : M_1 \to M_2\) is any mapping. The modulus of continuity of \(f\) is defined, for \(t \ge 0\), by
\[
\omega_f(t) = \sup \{ d_2(f(x), f(y)) : d_1(x,y) \le t \},
\]
while the modulus of expansion of \(f\) is defined by
\[
\rho_f(t) = \inf \{ d_2(f(x), f(y)) : d_1(x,y) \ge t \}.
\]
The map \(f\) is said to be a coarse map if \(\omega_f(t) < \infty\) for all \(t \ge 0\), and \(f\) is a coarse embedding if it is coarse and \(\lim_{t \to \infty} \rho_f(t) =\infty\). Further, \(f\) is a uniform embedding if \(\lim_{t \to 0^+} \omega_f(t) = 0\) and \(\rho_f(t) > 0\) for all \(t > 0\).
The focus of this paper is the following weaker version of coarse and uniform embeddings: For Banach spaces \(X\) and \(Y\), consider weakly sequentially continuous maps \(f : X \to Y\) that are coarse and satisfy the following separation property:
\[
\exists \beta > \alpha > 0: \inf_{\|x-y\| \in [\alpha,\beta]}\|f(x)-f(y)\| > 0.
\]
It is shown that if \(1 \le p < q\), then there exists no weakly sequentially continuous map \(\ell_q \to \ell_p\) that is coarse and satisfies the above separation property. (But note that \(\ell_q\) both coarsely (and uniformly) embeds into \(\ell_p\) for all \(p,q \in [1,2]\) as shown by \textit{P.~W. Nowak} [Fundam. Math. 189, No.~2, 111--116 (2006; Zbl 1097.46052)].) It is also shown that if \(1 \le p < q\), then there exists an embedding \(\ell_p \to \ell_q\) which is both a coarse and uniform embedding (a strong embedding) and also weakly sequentially continuous.
The main result, Theorem~1.3, says that if a Banach space \(X\) can be mapped into a Banach space \(Y\) by a weakly sequentially continuous map that is coarse and satisfies the above separation property, then there exists \(c > 0\) so that if \((e_n)_n\) is a spreading model in a Banach space \((S,\|\cdot\|_S)\) of a normalized weakly null sequence in \(X\), then
\[
c \|e_1 + e_2 + \cdots + e_k\|_{\bar{\delta}_Y} \le \|e_1 + e_2 + \cdots + e_k\|_S
\]
for all \(k \in \mathbb{N}\). Here \(\bar{\delta}_Y\) is the modulus of asymptotic uniform convexity. This modulus \(\bar{\delta}_Y\) is equivalent to a convex function and the norm is the norm in the associated Orlicz space. \textit{N. J. Kalton} [Trans. Am. Math. Soc. 365, No. 2, 1051--1079 (2013; Zbl 1275.46011)] obtained the same conclusion as in Theorem~1.3 under the assumption that \(X\) coarse Lipschitz embeds into \(Y\).
As corollaries to the main theorem it is shown that if \(X\) maps into \(Y\) by a weakly sequentially continuous map that is coarse and satisfies the above separation property, then if \(Y\) is \(p\)-asymptotically uniformly convex for some \(p \in [1,\infty)\), then \(X\) must have the \(p\)-co-Banach-Saks property.
Let us also mention that it is shown that if \(X\) has a normalized weakly null sequence that generates a spreading model which is isomorphic to the standard basis of \(c_0\) and there exists a weakly sequentially continuous map \(X \to Y\) that is coarse and satisfies the above separation property, then \(Y\) does not have an equivalent asymptotically uniformly convex norm.
The paper ends with a list of open problems. Note that Problem~5.4 has been given a negative answer by \textit{B.~M. Braga} [J. Inst. Math. Jussieu 20, No.~1, 65--102 (2021; Zbl 1466.46014)].Geometric methods in physics XXXVIII. Workshop, Białowieża, Poland, June 30 -- July 6, 2019https://zbmath.org/1472.530062021-11-25T18:46:10.358925Z"Kielanowski, Piotr"https://zbmath.org/authors/?q=ai:kielanowski.piotr"Odzijewicz, Anatol"https://zbmath.org/authors/?q=ai:odzijewicz.anatol"Previato, Emma"https://zbmath.org/authors/?q=ai:previato.emmaPublisher's description: The book consists of articles based on the XXXVIII Białowieża Workshop on Geometric Methods in Physics, 2019. The series of Białowieża workshops, attended by a community of experts at the crossroads of mathematics and physics, is a major annual event in the field. The works in this book, based on presentations given at the workshop, are previously unpublished, at the cutting edge of current research, typically grounded in geometry and analysis, with applications to classical and quantum physics.
For the past eight years, the Białowieża Workshops have been complemented by a School on Geometry and Physics, comprising series of advanced lectures for graduate students and early-career researchers. The extended abstracts of the five lecture series that were given in the eighth school are included. The unique character of the Workshop-and-School series draws on the venue, a famous historical, cultural and environmental site in the Białowieża forest, a UNESCO World Heritage Centre in the east of Poland: lectures are given in the Nature and Forest Museum and local traditions are interwoven with the scientific activities.
The articles of this volume will be reviewed individually. For the preceding workshop see [Zbl 1433.53003].
Indexed articles:
\textit{Arici, Francesca; Mesland, Bram}, Toeplitz extensions in noncommutative topology and mathematical physics, 3-29 [Zbl 07400843]
\textit{Beltiţă, Daniel; Odzijewicz, Anatol}, Standard groupoids of von Neumann algebras, 31-39 [Zbl 07400844]
\textit{Cotti, Giordano}, Quantum differential equations and helices, 41-65 [Zbl 07400845]
\textit{Dobrogowska, Alina; Mironov, Andrey E.}, Periodic one-point rank one commuting difference operators, 67-74 [Zbl 1472.39037]
\textit{Fehér, L.; Marshall, I.}, On the bi-Hamiltonian structure of the trigonometric spin Ruijsenaars-Sutherland hierarchy, 75-87 [Zbl 07400847]
\textit{Hara, Kentaro}, Hermitian-Einstein metrics from non-commutative \(U(1)\) solutions, 89-96 [Zbl 07400848]
\textit{Hounkonnou, Mahouton Norbert; Houndédji, Gbêvèwou Damien}, 2-hom-associative bialgebras and hom-left symmetric dialgebras, 97-115 [Zbl 07400849]
\textit{Crus y Cruz, S.; Gress, Z.; Jiménez-Macías, P.; Rosas-Ortiz, O.}, Laguerre-Gaussian wave propagation in parabolic media, 117-128 [Zbl 07400850]
\textit{Karmanova, Maria}, Maximal surfaces on two-step sub-Lorentzian structures, 129-141 [Zbl 07400851]
\textit{Lawson, Jimmie D.; Lim, Yongdo}, Following the trail of the operator geometric mean, 143-153 [Zbl 07400852]
\textit{Mandal, Ashis; Mishra, Satyendra Kumar}, On Hom-Lie-Rinehart algebras, 155-161 [Zbl 07400853]
\textit{Nakayashiki, Atsushi}, One step degeneration of trigonal curves and mixing of solitons and quasi-periodic solutions of the KP equation, 163-186 [Zbl 07400854]
\textit{Dobrokhotov, Sergei; Nazaikinskii, Vladimir}, Fock quantization of canonical transformations and semiclassical asymptotics for degenerate problems, 187-195 [Zbl 1472.81099]
\textit{Nieto, L. M.; Gadella, M.; Mateos-Guilarte, J.; Muñoz-Castañeda, J. M.; Romaniega, C.}, Some recent results on contact or point supported potentials, 197-219 [Zbl 07400856]
\textit{Orlov, Aleksandr Yu.}, 2D Yang-Mills theory and tau functions, 221-250 [Zbl 07400857]
\textit{Prorok, Dominik; Prykarpatski, Anatolij}, Many-particle Schrödinger type finitely factorized quantum Hamiltonian systems and their integrability, 251-270 [Zbl 07400858]
\textit{Quintana, C.; Jiménez-Macías, P.; Rosas-Ortiz, O.}, Quantum master equation for the time-periodic density operator of a single qubit coupled to a harmonic oscillator, 271-281 [Zbl 1472.81131]
\textit{Zelaya, Kevin; Cruz y Cruz, Sara; Rosas-Ortiz, Oscar}, On the construction of non-Hermitian Hamiltonians with all-real spectra through supersymmetric algorithms, 283-292 [Zbl 1472.81109]
\textit{Sontz, Stephen Bruce}, Toeplitz quantization of an analogue of the Manin plane, 293-301 [Zbl 07400861]
\textit{Przanowski, Maciej; Tosiek, Jaromir; Turrubiates, Francisco J.}, The Weyl-Wigner-Moyal formalism on a discrete phase space, 303-312 [Zbl 1472.81132]
\textit{Zheglov, Alexander}, Algebraic geometric properties of spectral surfaces of quantum integrable systems and their isospectral deformations, 313-331 [Zbl 1470.13043]
\textit{Domrin, A. V.}, Soliton equations and their holomorphic solutions, 335-343 [Zbl 07400864]
\textit{Goldin, Gerald A.}, Diffeomorphism groups in quantum theory and statistical physics, 345-350 [Zbl 1472.81114]
\textit{Rosas-Ortiz, Oscar}, Position-dependent mass systems: classical and quantum pictures, 351-361 [Zbl 07400866]
\textit{Slavnov, N. A.}, Introduction to the algebraic Bethe ansatz, 363-371 [Zbl 07400867]
\textit{Szymański, Wojciech}, Noncommutative fiber bundles, 373-379 [Zbl 07400868]Building a platform for data-driven pandemic prediction. From data modelling to visualisation -- the CovidLP projecthttps://zbmath.org/1472.620042021-11-25T18:46:10.358925Z"Gamerman, Dani"https://zbmath.org/authors/?q=ai:gamerman.dani"Prates, Marcos O."https://zbmath.org/authors/?q=ai:prates.marcos-oliveira"Paiva, Thaís"https://zbmath.org/authors/?q=ai:paiva.thais"Mayrink, Vinicius D."https://zbmath.org/authors/?q=ai:mayrink.vinicius-dinizPublisher's description: This book is about building platforms for pandemic prediction. It provides an overview of probabilistic prediction for pandemic modeling based on a data-driven approach. It also provides guidance on building platforms with currently available technology using tools such as R, Shiny, and interactive plotting programs.
The focus is on the integration of statistics and computing tools rather than on an in-depth analysis of all possibilities on each side. Readers can follow different reading paths through the book, depending on their needs. The book is meant as a basis for further investigation of statistical modelling, implementation tools, monitoring aspects, and software functionalities.
Features:
\begin{itemize}
\item A general but parsimonious class of models to perform statistical prediction for epidemics, using a Bayesian approach
\item Implementation of automated routines to obtain daily prediction results
\item How to interactively visualize the model results
\item Strategies for monitoring the performance of the predictions and identifying potential issues in the results
\item Discusses the many decisions required to develop and publish online platforms
\item Supplemented by an R package and its specific functionalities to model epidemic outbreaks
\end{itemize}
The book is geared towards practitioners with an interest in the development and presentation of results in an online platform of statistical analysis of epidemiological data. The primary audience includes applied statisticians, biostatisticians, computer scientists, epidemiologists, and professionals interested in learning more about epidemic modelling in general, including the COVID-19 pandemic, and platform building.
The authors are professors at the Statistics Department at Universidade Federal de Minas Gerais. Their research records exhibit contributions applied to a number of areas of Science, including Epidemiology. Their research activities include books published with Chapman and Hall/CRC and papers in high quality journals. They have also been involved with academic management of graduate programs in Statistics and one of them is currently the President of the Brazilian Statistical Association.
The articles of this volume will not be indexed individually.Introduction to the special issue on logic rules and reasoning: selected papers from the 2nd international joint conference on rules and reasoning (RuleML+RR 2018)https://zbmath.org/1472.680052021-11-25T18:46:10.358925Z"Benzmüller, Christoph"https://zbmath.org/authors/?q=ai:benzmuller.christoph-e"Parent, Xavier"https://zbmath.org/authors/?q=ai:parent.xavier"Ricca, Francesco"https://zbmath.org/authors/?q=ai:ricca.francesco(no abstract)Special issue on algorithmic theory of dynamic networks and its applications -- prefacehttps://zbmath.org/1472.680062021-11-25T18:46:10.358925Z"Bonomi, Silvia"https://zbmath.org/authors/?q=ai:bonomi.silvia"Di Luna, Giuseppe A."https://zbmath.org/authors/?q=ai:di-luna.giuseppe-antonio"Michail, Othon"https://zbmath.org/authors/?q=ai:michail.othon"Querzoni, Leonardo"https://zbmath.org/authors/?q=ai:querzoni.leonardoFrom the text: A key aspect of many modern distributed systems is their highly dynamic nature. New technologies such as wireless
sensors networks, software defined networks, and networks of smart devices are effectively creating topologies that continuously change, either by exogenous factors (such as the mobility of the devices or the highly unreliable nature of the links) or by endogenous factors (this it the example of software defined networks where the topology can be swiftly modified at runtime by a program). This new landscape is in stark contrast with the previous distributed computing vision where the
dynamic aspect was brought by the presence of sporadic and sparse failure events.
This special issue on Algorithmic Theory of Dynamic Networks and its Applications belongs to this line of activities. It has two purposes, the first is to collect high-quality content on the hot areas; the second is to foster the growth of the newborn community. To this end the special issue has invited contributions from key persons of the community, while being also open to spontaneous submissions.Agent-based optimizationhttps://zbmath.org/1472.680072021-11-25T18:46:10.358925Z"Czarnowski, Ireneusz"https://zbmath.org/authors/?q=ai:czarnowski.ireneusz"Jȩdrzejowicz, Piotr"https://zbmath.org/authors/?q=ai:jedrzejowicz.piotr"Kacprzyk, Janusz"https://zbmath.org/authors/?q=ai:kacprzyk.januszPublisher's description: This volume presents a collection of original research works by leading specialists focusing on novel and promising approaches in which the multi-agent system paradigm is used to support, enhance or replace traditional approaches to solving difficult optimization problems. The editors have invited several well-known specialists to present their solutions, tools, and models falling under the common denominator of the agent-based optimization. The book consists of eight chapters covering examples of application of the multi-agent paradigm and respective customized tools to solve difficult optimization problems arising in different areas such as machine learning, scheduling, transportation and, more generally, distributed and cooperative problem solving.
The articles of this volume will be reviewed individually.Soft computing techniques in engineering, health, mathematical and social scienceshttps://zbmath.org/1472.680082021-11-25T18:46:10.358925Z"Debnath, Pradip"https://zbmath.org/authors/?q=ai:debnath.pradip"Mohiuddine, S. A."https://zbmath.org/authors/?q=ai:mohiuddine.syed-adbul|mohiuddine.syed-abdulPublisher's description: Soft computing techniques are no longer limited to the arena of computer science. The discipline has an exponentially growing demand in other branches of science and engineering and even into health and social science. This book contains theory and applications of soft computing in engineering, health, and social and applied sciences. Different soft computing techniques such as artificial neural networks, fuzzy systems, evolutionary algorithms and hybrid systems are discussed. It also contains important chapters in machine learning and clustering. This book presents a survey of the existing knowledge and also the current state of art development through original new contributions from the researchers. This book may be used as a one-stop reference book for a broad range of readers worldwide interested in soft computing. In each chapter, the preliminaries have been presented first and then the advanced discussion takes place. Learners and researchers from a wide variety of backgrounds will find several useful tools and techniques to develop their soft computing skills. This book is meant for graduate students, faculty and researchers willing to expand their knowledge in any branch of soft computing. The readers of this book will require minimum prerequisites of undergraduate studies in computation and mathematics.
The articles of mathematical interest will be reviewed individually.Beyond the worst-case analysis of algorithmshttps://zbmath.org/1472.680092021-11-25T18:46:10.358925Z"Roughgarden, Tim"https://zbmath.org/authors/?q=ai:roughgarden.timPublisher's description: There are no silver bullets in algorithm design, and no single algorithmic idea is powerful and flexible enough to solve every computational problem. Nor are there silver bullets in algorithm analysis, as the most enlightening method for analyzing an algorithm often depends on the problem and the application. However, typical algorithms courses rely almost entirely on a single analysis framework, that of worst-case analysis, wherein an algorithm is assessed by its worst performance on any input of a given size. The purpose of this book is to popularize several alternatives to worst-case analysis and their most notable algorithmic applications, from clustering to linear programming to neural network training. Forty leading researchers have contributed introductions to different facets of this field, emphasizing the most important models and results, many of which can be taught in lectures to beginning graduate students in theoretical computer science and machine learning.
The articles of this volume will be reviewed individually.Special issue: Developments in language theory (DLT 2019). Prefacehttps://zbmath.org/1472.680102021-11-25T18:46:10.358925Z"Skrzypczak, Michał"https://zbmath.org/authors/?q=ai:skrzypczak.michal"Hofman, Piotr"https://zbmath.org/authors/?q=ai:hofman.piotrFrom the text: This special issue of the Fundamenta Informaticae contains five papers, which are revised and extended versions of the papers selected from the 23rd International Conference on Developments in Language Theory, DLT 2019, hosted by the University of Warsaw, Poland from 5 till 9 August 2019.Locally adaptive activation functions with slope recovery for deep and physics-informed neural networkshttps://zbmath.org/1472.681752021-11-25T18:46:10.358925Z"Jagtap, Ameya D."https://zbmath.org/authors/?q=ai:jagtap.ameya-d"Kawaguchi, Kenji"https://zbmath.org/authors/?q=ai:kawaguchi.kenji"Karniadakis, George Em"https://zbmath.org/authors/?q=ai:karniadakis.george-emSummary: We propose two approaches of locally adaptive activation functions namely, layer-wise and neuron-wise locally adaptive activation functions, which improve the performance of deep and physics-informed neural networks. The local adaptation of activation function is achieved by introducing a scalable parameter in each layer (layer-wise) and for every neuron (neuron-wise) separately, and then optimizing it using a variant of stochastic gradient descent algorithm. In order to further increase the training speed, an activation slope-based \textit{slope recovery} term is added in the loss function, which further accelerates convergence, thereby reducing the training cost. On the theoretical side, we prove that in the proposed method, the gradient descent algorithms are not attracted to sub-optimal critical points or local minima under practical conditions on the initialization and learning rate, and that the gradient dynamics of the proposed method is not achievable by base methods with any (adaptive) learning rates. We further show that the adaptive activation methods accelerate the convergence by implicitly multiplying conditioning matrices to the gradient of the base method without any explicit computation of the conditioning matrix and the matrix-vector product. The different adaptive activation functions are shown to induce different implicit conditioning matrices. Furthermore, the proposed methods with the slope recovery are shown to accelerate the training process.Analysis of shells, plates, and beams. A state of the art report. Dedicated to George Jaiani on the occasion of his 75th birthdayhttps://zbmath.org/1472.740012021-11-25T18:46:10.358925Z"Altenbach, Holm"https://zbmath.org/authors/?q=ai:altenbach.holm"Chinchaladze, Natalia"https://zbmath.org/authors/?q=ai:chinchaladze.natalia"Kienzler, Reinhold"https://zbmath.org/authors/?q=ai:kienzler.reinhold"Müller, Wolfgang H."https://zbmath.org/authors/?q=ai:muller.wolfgang-hPublisher's description: This book commemorates the 75th birthday of Prof. George Jaiani -- Georgia's leading expert on shell theory. He is also well known outside Georgia for his individual approach to shell theory research and as an organizer of meetings, conferences and schools in the field. The collection of papers presented includes articles by scientists from various countries discussing the state of the art and new trends in the theory of shells, plates, and beams.
Chapter 20 is available in open access under a Creative Commons Attribution 4.0 International License via \url{link.springer.com}.
The articles of mathematical interest will be reviewed individually.
Indexed articles:
\textit{Aghalovyan, Lenser A.}, On some classes of three-dimensional dynamic problems of plates and shells and an asymptotic method of solving them, 1-14 [Zbl 07398628]
\textit{Andrianarison, Orlando; Benjeddou, Ayech}, New Hamiltonian semi-analytical approach for 3D solution of piezoelectric smart composites, 15-40 [Zbl 07398629]
\textit{Avalishvili, Gia; Avalishvili, Mariam}, On static two-dimensional models of thermo-electro-magneto-elastic shells, 41-64 [Zbl 07398630]
\textit{Bauer, Svetlana M. M.; Voronkova, Eva B.}, On buckling behavior of inhomogeneous shallow spherical caps with elastically restrained edge, 65-74 [Zbl 07398631]
\textit{Belyaev, Alexander K.; Morozov, Nikita F.; Tovstik, Peter E.; Tovstik, Tatyana P.}, Some two-dimensional non-classical models of anisotropic plates, 75-94 [Zbl 07398632]
\textit{Burlayenko, Vyacheslav N.; Altenbach, Holm; Dimitrova, Svetlana D.}, Interface strength assessments of sandwich panels with a face sheet/core debond, 95-122 [Zbl 07398633]
\textit{Filippov, Sergei B.}, Asymptotic approximations for frequencies and vibration modes of cylindrical shell stiffened by annular plates, 123-140 [Zbl 07398634]
\textit{Grigorenko, Alexander Ya.; Borysenko, Maksym Yu.; Boychuk, Olena V.; Vasil'eva, Larisa Ya.}, Free vibrations of an open non-circular cylindrical shell of variable thickness, 141-154 [Zbl 07398635]
\textit{Gruttmann, Friedrich; Wagner, Werner}, Use of quadratic strain interpolation functions in a mixed quadrilateral shell element, 155-170 [Zbl 07398636]
\textit{Ivanova, Elena A.; Timoshenko, Valentina A.}, Development of a method for determining one of the additional elastic moduli of curvilinear rods, 171-184 [Zbl 07398637]
\textit{Kugler, Stephan; Fotiu, Peter A.; Murín, Justin}, Beam dynamics using a generalized beam theory based on the solution of a reference beam problem, 185-214 [Zbl 07398638]
\textit{Malikan, Mohammad; Eremeyev, Victor A.}, Free vibration of flexomagnetic nanostructured tubes based on stress-driven nonlocal elasticity, 215-226 [Zbl 07398639]
\textit{Manoach, Emil; Doneva, Simona; Warminski, Jerzy}, Coupled, thermo-elastic, large amplitude vibration of bi-material beams, 227-242 [Zbl 07398640]
\textit{Murín, Justín; Hrabovsky, Juraj; Kugler, Stephan; Kutiš, Vladimir; Aminbaghai, Mehdi}, Effect of longitudinal variation of material properties in warping torsion of FGM beams, 243-296 [Zbl 07398641]
\textit{Naumenko, Konstantin; Altenbach, Holm}, Laminated plates with non-linear visco-elastic interlayer: the governing equations, 297-310 [Zbl 07398642]
\textit{Nguyen-Hoang, Minh; Becker, Wilfried}, Open circular hole in a finite plate under tension treated by Airy stress function method, 311-330 [Zbl 07398643]
\textit{Papkova, Irina V.; Awrejcewicz, Nikita Jan; Krysko, Anton V.; Krylova, Ekatarina Yu; Krysko, Vadim A.}, Theory of flexible mesh-type shallow Kirchhoff-Love structures based on the modified couple stress theory, 331-344 [Zbl 07398644]
\textit{Peshkhoev, Isa M.; Stolyar, Alexander M.}, Buckling of the nonuniformly compressed plate with dislocations and disclinations, 345-366 [Zbl 07398645]
\textit{Podio-Guidugli, Paolo}, On null-Lagrangian energy and plate paradoxes, 367-372 [Zbl 07398646]
\textit{Porenta, Luka; Brank, Boštjan; Dujc, Jaka; Brojan, Miha; Tušek, Jaka}, A shell finite element model for superelasticity of shape memory alloys, 373-388 [Zbl 07398647]
\textit{Schilling, Jakob C.; Mittelstedt, Christian}, Validity of the reduced bending stiffness method for stacked laminates, 389-408 [Zbl 07398648]
\textit{Shirani, Milad; Steigmann, David J.}, Asymptotic estimate of the potential energy of a plastically deformed thin shell, 409-420 [Zbl 07398649]
\textit{Wiśniewski, Krzysztof; Turska, Ewa}, On transverse shear strains treatment in nine-node shell element MITC9i, 421-440 [Zbl 07398650]
\textit{Zozulya, Volodymyr V.}, Nonlocal theory of plates and shells based on Legendre's polynomial expansion, 441-470 [Zbl 07398651]Preface to a special feature dedicated to the memory of Prof. Peter Chadwick FRShttps://zbmath.org/1472.740022021-11-25T18:46:10.358925Z"Fu, Yibin"https://zbmath.org/authors/?q=ai:fu.yibin"Kaplunov, Julius"https://zbmath.org/authors/?q=ai:kaplunov.julius-d"Ogden, Ray W."https://zbmath.org/authors/?q=ai:ogden.raymond-w(no abstract)Size-dependent continuum mechanics approaches. Theory and applicationshttps://zbmath.org/1472.740032021-11-25T18:46:10.358925Z"Ghavanloo, Esmaeal"https://zbmath.org/authors/?q=ai:ghavanloo.esmaeal"Fazelzadeh, S. Ahmad"https://zbmath.org/authors/?q=ai:fazelzadeh.seyed-ahmad"Marotti de Sciarra, Francesco"https://zbmath.org/authors/?q=ai:marotti-de-sciarra.francescoPublisher's description: This book offers a comprehensive and timely report of size-dependent continuum mechanics approaches. Written by scientists with worldwide reputation and established expertise, it covers the most recent findings, advanced theoretical developments and computational techniques, as well as a range of applications, in the field of nonlocal continuum mechanics. Chapters are concerned with lattice-based nonlocal models, Eringen's nonlocal models, gradient theories of elasticity, strain- and stress-driven nonlocal models, and peridynamic theory, among other topics. This book provides researchers and practitioners with extensive and specialized information on cutting-edge theories and methods, innovative solutions to current problems and a timely insight into the behavior of some advanced materials and structures. It also offers a useful reference guide to senior undergraduate and graduate students in mechanical engineering, materials science, and applied physics.
The articles of mathematical interest will be reviewed individually.
Indexed articles:
\textit{Challamel, Noël; Wang, Chien Ming; Zhang, Hong; Elishakoff, Isaac}, Lattice-based nonlocal elastic structural models, 1-50 [Zbl 07395355]
\textit{Koutsoumaris, Constantinos Chr.; Eptaimeros, Konstantinos G.}, Eringen's nonlocal integral elasticity and applications for structural models, 51-93 [Zbl 07395356]
\textit{Shaat, Mohamed; Ghavanloo, Esmaeal}, Nonlocal mechanics in the framework of the general nonlocal theory, 95-122 [Zbl 07395357]
\textit{Alotta, Gioacchino; Pinnola, Francesco P.; Vaccaro, Marzia S.}, Displacement based nonlocal models for size effect simulation in nanomechanics, 123-147 [Zbl 07395358]
\textit{Maneshi, Mohammad Ali; Ghavanloo, Esmaeal; Fazelzadeh, S. Ahmad}, One-dimensional well-posed nonlocal elasticity models for finite domains, 149-168 [Zbl 07395359]
\textit{Shaat, Mohamed}, Iterative nonlocal residual elasticity, 169-185 [Zbl 07395360]
\textit{Pinnola, Francesco P.; Faghidian, S. Ali; Vaccaro, Marzia S.; Barretta, Raffaele; Marotti de Sciarra, Francesco}, Nonlocal gradient mechanics of elastic beams under torsion, 187-204 [Zbl 07395361]
\textit{Xu, Xiao-Jian}, Reformulation of the boundary value problems of nonlocal type elasticity: application to beams, 205-222 [Zbl 07395362]
\textit{El-Borgi, Sami; Rajendran, Prakash; Trabelssi, Mohamed}, Application of combined nonlocal and surface elasticity theories to vibration response of a graded nanobeam, 223-260 [Zbl 07395363]
\textit{Naghinejad, Maysam; Ovesy, Hamid Reza; Taghizadeh, Mohsen; Ghannadpour, Seyyed Amir Mahdi}, Finite element nonlocal integral elasticity approach, 261-309 [Zbl 07395364]
\textit{Tuna, Meral; Leonetti, Lorenzo; Trovalusci, Patrizia; Kirca, Mesut}, `Explicit' and `implicit' non-local continuum descriptions: plate with circular hole, 311-338 [Zbl 1472.74139]
\textit{Ansari, Reza; Norouzzadeh, Amir; Rouhi, Hessam}, Micromorphic continuum theory: finite element analysis of 3D elasticity with applications in beam- and plate-type structures, 339-363 [Zbl 07395366]
\textit{Madenci, Erdogan; Dorduncu, Mehmet}, Peridynamic modeling of laminated composites, 365-392 [Zbl 07395367]
\textit{Failla, Giuseppe; Ghavanloo, Esmaeal}, Nonlocal approaches to the dynamics of metamaterials, 393-415 [Zbl 07395368]
\textit{Aifantis, Elias C.}, Gradient extension of classical material models: from nuclear \& condensed matter scales to Earth \& cosmological scales, 417-452 [Zbl 07395369]IUTAM symposium on exploiting nonlinear dynamics for engineering systems. ENOLIDES 2018. Proceedings of the IUTAM symposium, Novi Sad, Serbia, July 15--19, 2018https://zbmath.org/1472.740042021-11-25T18:46:10.358925Z"Kovacic, Ivana"https://zbmath.org/authors/?q=ai:kovacic.ivana"Lenci, Stefano"https://zbmath.org/authors/?q=ai:lenci.stefanoPublisher's description: This is the proceedings of the IUTAM Symposium on Exploiting Nonlinear Dynamics for Engineering Systems that was held in Novi Sad, Serbia, from July 15th to 19th, 2018. The appearance of nonlinear phenomena used to be perceived as dangerous, with a general tendency to avoid them or control them. This perception has led to intensive research using various approaches and tailor-made tools developed over decades. However, the Nonlinear Dynamics of today is experiencing a profound shift of paradigm since recent investigations rely on a different strategy which brings good effects of nonlinear phenomena to the forefront. This strategy has a positive impact on different fields in science and engineering, such as vibration isolation, energy harvesting, micro/nano-electro-mechanical systems, etc. Therefore, the ENOLIDES Symposium was devoted to demonstrate the benefits and to unlock the potential of exploiting nonlinear dynamical behaviour in these but also in other emerging fields of science and engineering.
This proceedings is useful for researchers in the fields of nonlinear dynamics of mechanical systems and structures, and in Mechanical and Civil Engineering.
The articles of mathematical interest will be reviewed individually.
Indexed articles:
\textit{Rega, Giuseppe}, Tribute to Ali H. Nayfeh (1933--2017), 1-13 [Zbl 1471.01054]
\textit{Verhulst, Ferdinand}, Henri Poincaré (1854--1912) engineer, mathematician, physicist and philosopher, 15-26 [Zbl 07400816]
\textit{Andonovski, Nemanja; Lenci, Stefano; Kovacic, Ivana}, Basins of attraction for higher-dimensional nonlinear dynamical systems: preliminary results on the case study of a sympodial tree, 27-36 [Zbl 07400817]
\textit{Arena, Andrea; Massimi, Flavio; Lacarbonara, Walter}, Dynamic morphing of actuated elastic membranes, 37-48 [Zbl 07400818]
\textit{Atanasovska, Ivana D.; Momcilovic, Dejan B.; Mitrovic, Radivoje M.; Soldat, Natasa D.; Nesic, Nikola}, Nonlinear dynamics as a tool in selection of working conditions for radial ball bearing, 49-58 [Zbl 07400819]
\textit{Babilio, Enrico; Lenci, Stefano}, On a geometrically exact beam model and its finite element approximation, 59-69 [Zbl 07400820]
\textit{Bitar, D.; Savadkoohi, A. Ture; Lamarque, C.-H.; Gourdon, E.; Collet, M.}, Targeted nonlinear energy transfer for electroacoustic absorbers, 71-80 [Zbl 07400821]
\textit{Cartmell, Matthew P.; Motazedi, Niloufar}, Using symbolic computational dynamics as an aid to design, 81-90 [Zbl 07400822]
\textit{Georgiades, Fotios}, Theorem and observation about the nature of perpetual points in conservative mechanical systems, 91-104 [Zbl 07400823]
\textit{Ghouli, Zakaria; Hamdi, Mustapha; Belhaq, Mohamed}, Energy harvesting in a Duffing oscillator with modulated delay amplitude, 121-130 [Zbl 07400825]
\textit{Gupta, Sunit K.; Wahi, Pankaj}, Rotary speed modulation to improve the stability of steady drilling, 131-141 [Zbl 07400826]
\textit{Habib, Giuseppe; Romeo, Francesco}, Comparative analysis of NES and TMD performance via high-dimensional invariant manifolds, 143-153 [Zbl 07400827]
\textit{Kloda, Lukasz; Lenci, Stefano; Warminski, Jerzy}, Nonlinear dynamics of a planar hinged-simply supported beam with one end spring: higher order resonances, 155-165 [Zbl 07400828]
\textit{Kovacic, Ivana; Gatti, Gianluca}, Helmholtz, Duffing and Helmholtz-Duffing oscillators: exact steady-state solutions, 167-177 [Zbl 07400829]
\textit{Kovacic, Ivana; Zukovic, Miodrag; Radomirovic, Dragi}, Tree-like structures as hierarchical coupled oscillators, 179-189 [Zbl 07400830]
\textit{Kovaleva, Agnessa}, Energy transport and localization in weakly dissipative resonant chains, 191-202 [Zbl 07400831]
\textit{Mazzilli, Carlos E. N.; Ribeiro, Eduardo A. R.}, Asynchronous modes of beams on elastic media subjected to varying normal force: continuous and discrete models, 203-212 [Zbl 07400832]
\textit{Polczyński, Krystian; Wijata, Adam; Wasilewski, Grzegorz; Kudra, Grzegorz; Awrejcewicz, Jan}, Modelling and analysis of bifurcation dynamics of two coupled pendulums with a magnetic forcing, 213-223 [Zbl 07400833]
\textit{Rand, Richard H.; Zehnder, Alan T.; Shayak, B.; Bhaskar, Aditya}, Dynamics of a system of two coupled MEMS oscillators, 225-233 [Zbl 07400834]
\textit{Raze, Ghislain; Kerschen, Gaetan}, A multimodal nonlinear tuned vibration absorber, 235-247 [Zbl 07400835]
\textit{Settimi, Valeria; Rega, Giuseppe; Saetta, Eduardo}, Unveiling transient to steady effects in reduced order models of thermomechanical plates via global dynamics, 249-259 [Zbl 07400836]
\textit{Vernizzi, Guilherme Jorge; Franzini, Guilherme Rosa; Pesce, Celso Pupo}, Non-linear free vibrations of a hanging cable with small sag, 261-270 [Zbl 07400837]
\textit{Zivaljevic, Vladimir; Kovacevic, Dusan; Rakaric, Zvonko}, Analytical and FEM modelling of the behaviour of pile in dynamic load test, 271-280 [Zbl 07400838]
\textit{Wang, Yitian; Zhu, Rui; Liu, Xiaoning; Hu, Gengkai}, Harnessing geometric nonlinearity to design tunable twist-coupled locally resonant metastructure, 281-289 [Zbl 07400839]
\textit{Warminski, Jerzy; Latalski, Jaroslaw}, Vibrations of rotating thin-walled composite beams with nonlinear piezoelectric layers, 291-301 [Zbl 07400840]
\textit{Wei, Weiyan; Yabuno, Hiroshi}, Nonlinear analysis of hunting motion by focusing on non-selfadjointness, 303-316 [Zbl 07400841]Do wave functions jump? Perspectives of the work of GianCarlo Ghirardihttps://zbmath.org/1472.810022021-11-25T18:46:10.358925Z"Allori, Valia"https://zbmath.org/authors/?q=ai:allori.valia"Bassi, Angelo"https://zbmath.org/authors/?q=ai:bassi.angelo"Dürr, Detlef"https://zbmath.org/authors/?q=ai:durr.detlef"Zanghi, Nino"https://zbmath.org/authors/?q=ai:zanghi.ninoPublisher's description: This book is a tribute to the scientific legacy of GianCarlo Ghirardi, who was one of the most influential scientists in the field of modern foundations of quantum theory. In this appraisal, contributions from friends, collaborators and colleagues reflect the influence of his world of thoughts on theory, experiments and philosophy, while also offering prospects for future research in the foundations of quantum physics. The themes of the contributions revolve around the physical reality of the wave function and its notorious collapse, randomness, relativity and experiments.
The articles of this volume will be reviewed individually.
Indexed articles:
\textit{Adler, Stephen L.}, Giancarlo Ghirardi: passing the torch on collapse models, 3-4 [Zbl 07398976]
\textit{Bricmont, Jean; Goldstein, Sheldon; Hemmick, Douglas}, EPR-Bell-Schrödinger proof of nonlocality using position and momentum, 5-33 [Zbl 07398977]
\textit{Dürr, Detlef; Struyve, Ward}, Typicality in the foundations of statistical physics and Born's rule, 35-43 [Zbl 07398978]
\textit{Ferialdi, Luca}, History Presentation of collapse models, 45-54 [Zbl 07398979]
\textit{Maudlin, Tim}, Appreciating what he did, 55-61 [Zbl 07398980]
\textit{Albert, David}, The GRW theory and the foundations of statistical mechanics, 65-72 [Zbl 07398981]
\textit{Allori, Valia}, Spontaneous localization theories with a particle ontology, 73-93 [Zbl 07398982]
\textit{Esfeld, Michael}, From the measurement problem to the primitive ontology programme, 95-108 [Zbl 07398983]
\textit{Laudisa, Federico}, Might laws of nature `ground' phenomena?, 109-119 [Zbl 07398984]
\textit{Lewis, Peter J.}, On closing the circle, 121-132 [Zbl 07398985]
\textit{Benatti, F.; Gebbia, F.}, On the complete positivity of the Ghirardi-Rimini-Weber model, 135-149 [Zbl 07398986]
\textit{Grummt, Robert; Vona, Nicola}, Energy-lifetime relations, 151-157 [Zbl 07398987]
\textit{Hinrichs, Günter}, On the continuum limit of the GRW model, 159-165 [Zbl 07398988]
\textit{Tilloy, Antoine}, Continuous collapse models on finite dimensional Hilbert spaces, 167-188 [Zbl 07398989]
\textit{Bedingham, Daniel J.}, Collapse models, relativity, and discrete spacetime, 191-203 [Zbl 07398990]
\textit{Carlesso, Matteo; Paternostro, Mauro}, Opto-mechanical test of collapse models, 205-215 [Zbl 07398991]
\textit{Diósi, Lajos}, Two invariant surface-tensors determine CSL of massive body wave function, 217-226 [Zbl 07398992]
\textit{Donadi, Sandro}, Collapse and charged particles, 227-235 [Zbl 07398993]
\textit{Fröhlich, Jürg}, Relativistic quantum theory, 237-257 [Zbl 07398994]
\textit{Großardt, André}, Classically gravitating quantum systems, 259-268 [Zbl 07398995]
\textit{Martin, Jérôme; Vennin, Vincent}, Collapse models and cosmology, 269-290 [Zbl 07398996]
\textit{Sudarsky, Daniel}, Spontaneous collapse theories and cosmology, 291-320 [Zbl 07398997]
\textit{Tumulka, Roderich}, A relativistic GRW flash process with interaction, 321-347 [Zbl 07398998]
\textit{Vacchini, Bassano}, Non-Markov processes in quantum theory, 349-358 [Zbl 07398999]
\textit{Ares, N.; Pearson, A. N.; Briggs, G. A. D.}, Eight Oxford questions: quantum mechanics under a new light, 361-384 [Zbl 07399000]
\textit{Gerlich, Stefan; Fein, Yaakov Y.; Arndt, Markus}, Interferometric tests of wave-function collapse, 385-399 [Zbl 07399001]
\textit{Kaltenbaek, Rainer}, Tests in space, 401-411 [Zbl 07399002]
\textit{Piscicchia, K.; Del Grande, R.; Laubenstein, M.; Curceanu, C.}, Sneaking a look at Ghirardi's cards: collapse models mapped with the spontaneous radiation, 413-421 [Zbl 07399003]
\textit{Vinante, Andrea; Ulbricht, Hendrik}, New avenues for testing collapse models, 423-436 [Zbl 07399004]From classical mechanics to quantum field theory. A tutorialhttps://zbmath.org/1472.810042021-11-25T18:46:10.358925Z"Asorey, Manuel"https://zbmath.org/authors/?q=ai:asorey.manuel"Ercolessi, Elisa"https://zbmath.org/authors/?q=ai:ercolessi.elisa"Moretti, Valter"https://zbmath.org/authors/?q=ai:moretti.valterAfter the preface this book is organized in 3 chapters, and an index.
The preface informs the reader that this Nook grew out from mini courses the authors delivered st the at the Fall workshops on geometry and physics at Granada, Zaragoza, and Madrid for advanced graduate students, PhD students, and young researchers.
Chapter 1: ``A short course on quantum mechanics and methods of quantization,'' is written by Elisa Ercolessi. In her introduction she begins with a short overview of the developments in the latter centuries. Geometric methods became more and more important at the end of the latter and beginning of the present century, symplectic manifolds and geometric quantization are mentioned. In section 1.2 an overview of quantum mechanics is given. Whereas a pure state in classical mechanics is a point in a real symplectic \(\mathbb{R}^{2n}\) such state in quantum mechanics is a unit ray in a complex Hilbert space \(\mathcal{H}\) for to describe interferences, probabilities etc.. As an example the two level case is considered. Observables with pure discrete spectra and their expectation values are explained. Then the position and linear momentum operators are introduced. Then ladder operators for two level Fermionic and general Bosonic systems as well as composite systems are considered. The Schrödinger equation is introduced and applied to the harmonic oscillator. The description of quantum measurement is shortly described. The first remark about geometric quantum mechanics is that \(T\mathcal{H} = \mathcal{H}\times\mathcal{H}\), s. t. a vector field \(\Gamma\) is given by \(\mathcal{H}\ni\psi\mapsto (\psi,\phi) = \Gamma(\psi),\, \phi\in\mathcal{H}\). The Lie derivative along \(\Gamma\), the dilation and further concepts are discussed. It is shown how the Hermitean scalar product is related to the Riemann metric and the symplectic form when \(\mathcal{H}\)is understood as a manifold. The ray representation of states leads to the projective Hilbert space whose relation to a Kähler manifold is shown up. Several notations for vector fields, tensor fields, forms, and brackets are introduced. The section ``Methods of Quantization'' begins introducing the Heisenberg-Weyl algebra. Then coherent states and the Bargmann-Fock representation are considered. Distributions of the number of particles, quasi-classical states, the property of minimizing the uncertainty relation, and generalized coherent states are described. Feynman's appoach to quantize field theories from the principle of least action to Feyman integrals is considered. Examples of application are given for the free particle. the harmonic oscillator, partition function and imaginary time integrals, the use of coherent states,and particle exchange symmeties in case of many particles. Then the Weyl quantization omitting the problem of domains for unbounded operators and relating quantization with phase space representations and Wigner functions is considered. The Weyl map is introduced exemplified for the free particle. Linear transformations preserving symplectic structures and the Fourier transform lead to the free particle evolution. The Wigner map is introduced as a kind of inversion to the Weyl map and discussed to some extend including the Moyal product. Several properties are considered ending with Ehrenfest's theorem.
Chapter 2: ``Mathematical Formulations of Quantum Mechanics. An advanced short Course,''is written by Valter Moretti. Whereas the previous chapter points out the mathematical methods used in quantum mechanics supposing the reader to know well mathematics and being costumed to think in respective abstract categories, the present one is a concrete introduction to their applications in the foundation of quantum mechanics. At first the author states that quantum systems are characterized by the occurrence of actions of the order of Planck's constant. This is demonstrated comparing orbital periods in hydrogen atoms with those of mechanical pendulums. The randomness of measurement outcomes, state collapses, eigenstates of compatible and incompatible observables with rrespect to successive measurements, and uncertainty relations as well as time evolution are described preliminary in finite dimensional unitary space. Then the more complicated description in Hilbert space is considered. After clearing up the peculiarities of the countably infinite dimensions. For unbounded operators domains and ranges have to be respected. Types of operator algebras are considered. For densely defined operators the adjoint is introduced. The properties closed, Hermitean , selfadjoint, essential selfadjoint, unitary, and normal are defined. These properties are properly explained. Spectral decompositions, spectral measures, and functional analysis are considered. The orthocomplemented lattice of projection operators, posets, quantum logics, and the respective access to the Hilbert space representation is described. The representation of states as measures and Gleason's theorem are explained. Contextuality and the theorem of Kochen and Specker follow. Symmetry transformations, one parameter groups of unitary operators, projective representations, and conservation laws are considered until von Neumann algebras, and the existence of superselection rules are pointed on. All this is extensively explained and formulated with mathematical rigor.
Chapter 3: ``Concise Introduction to Quantum Field Theory'' is written by Manuel Asorey. After a short overview on the history of development two points are stated: (1) It provides a framework to unify quantum theory with relativity. (2) The handling of arising divergences requires the use of special mathematical methods. The problem to replace the Galileian space-time symmetry transfprmations by Poincaré transformations is exemplified considering the multidimensional harmonic oscillator and its quantization. The light cone, lightlike and spacelike distances of events are introduced and explained. Quantum field operators are introduced by the requirement of fundamental principles P1 through P7. It is shown how canonical quantization of scalar fields leads to ultraviolet and infrared divergences. As a way around the torus compactification of \(\mathbb{R}^3\) is applied which discretizes the wavelengths of plane waves. But the vacuum energy of the quantum field is still divergent because of an infinite series the positive ground state energies of harmonic oscillations. It lasted two decades until suitable renormalization procedures were found. Two previous steps are mentioned, the regularization of field operators including cut offs, and the introduction of parameters like masses, charges,coupling constants etc.. Short examles of such procedures are given. The Casimir effect is described. Arguments of field versus particle interpretations are given before the Fock space is introduced and discussed together with creation, destruction and number operators. The Wick theorem is stated which is useful in the treatment of interacting quantum fields. The interaction term of the Hamiltonian causes an extra divergence in the vacuum energy determined by the Wick theorem. Its subtraction leads to the finite vacuum energy. The renormalization treatment for excited states are described too. The validity of the covariance principles P5 through P7 for he Heisenberg time translation of the field operators is considered. The Euklidean approach is motivated by the difficulty to handle unbounded field operators in the Fock space. Wightman functions and Schwinger functions being their analytic continuations are mentioned. Their evolution in the imaginary time is a semigroup instead a group. The necessity of time orderings is founded. Five Euklidean principle which follow from P1 through P7 are formulated. Since the relativistic quantum field can be fully reconstructed this approach is also called constructive. Conformal field theories are invariant under an extension of the Poincaré group including dilations and special conformal transformations. Difficulties with two-point functions are described The \(O(2)\) sigma model is dicussed. A functional integral approach is described and refines the Euclidean approach.After a look on possibly to expect further creations three appendices deepening the descriptions of the Casimir effect, Gaussian measures on Hilbert spaces, and Peierls brackets close the chapter.
This book is really suited for to extend the insights to the title problems for interested people who have previous knowledge in mathematics and physics.Fundamental physics at the Vigier centenary. ``L'hérétique de la physique'' lives onhttps://zbmath.org/1472.810052021-11-25T18:46:10.358925Z"Amoroso, Richard L."https://zbmath.org/authors/?q=ai:amoroso.richard-l"Kauffman, Louis H."https://zbmath.org/authors/?q=ai:kauffman.louis-hirsch"Rowlands, Peter"https://zbmath.org/authors/?q=ai:rowlands.peterPublisher's description: There has not been a scientific revolution for about 100 years. One seems imminent, as QED has recently been violated at the Sigma-6 level. Kuhn, in `The Structure of Scientific Revolutions', used Wittgenstein's famous duck-rabbit optical illusion to demonstrate how bias in interpretation causes scientists to see the same information in radically different manners, which is likely to have delayed the pending paradigm shift. Jean-Pierre Vigier, continually labeled l'hérétique de la physique and l'eternel resistant in French media, remains a pillar of modern mathematical physics. ``Heretical'' works of Vigier related to extended electromagnetic theory incorporating photon mass and a longitudinal B(3) EM field, gravity, quantum theory, large-scale additional dimensions, the Dirac polarized vacuum and many more related issues are deemed by his followers to be essential to the evolution of physics. The phrase `Lives On' was chosen in the title of this volume to claim ignored portions of his work are relevant to implementing the Paradigm Shift to an Einsteinian Unified Field Theory. Specifically, chapters about the Dirac Hypertube, Tight-Bound States and Spacetime programming provide required insights into crossing the dimensional barrier and `proving' parts of \(M\)-Theoretic dimensionality. As happens periodically in the history of science, we live in a climate where coloring outside-the-box can have severe myopic consequences such as difficulties in passing PhD exams, challenges in grant approval or problems in receiving tenure. Since there is no conflict with Gauge Theory, once realized, many chapters in this important volume will aid in facilitating progress in physics beyond the Standard Model.
The articles of this volume will not be indexed individually.Computational logistics. 12th international conference, ICCL 2021, Enschede, the Netherlands, September 27--29, 2021. Proceedingshttps://zbmath.org/1472.900022021-11-25T18:46:10.358925Z"Mes, Martijn"https://zbmath.org/authors/?q=ai:mes.martijn-r-k"Lalla-Ruiz, Eduardo"https://zbmath.org/authors/?q=ai:lalla-ruiz.eduardo"Voß, Stefan"https://zbmath.org/authors/?q=ai:voss.stefanThe articles of this volume will not be indexed individually. For the preceding conference see [Zbl 1459.90001].German conference on bioinformatics 2012, GCB'12, September 19--22, 2012, Jena, Germany. Selected papers based on the presentations at the conference.https://zbmath.org/1472.920012021-11-25T18:46:10.358925Z"Böcker, Sebastian"https://zbmath.org/authors/?q=ai:bocker.sebastian"Hufsky, Franziska"https://zbmath.org/authors/?q=ai:hufsky.franziska"Scheubert, Kerstin"https://zbmath.org/authors/?q=ai:scheubert.kerstin"Schleicher, Jana"https://zbmath.org/authors/?q=ai:schleicher.jana"Schuster, Stefan"https://zbmath.org/authors/?q=ai:schuster.stefanThe articles of mathematical interest will be reviewed individually.
Indexed articles:
\textit{Hoppe, Andreas; Holzhütter, Hermann-Georg}, ModeScore: a method to infer changed activity of metabolic function from transcript profiles, 1-11, electronic only [Zbl 1472.92113]
\textit{Ludwig, Marcus; Hufsky, Franziska; Elshamy, Samy; Böcker, Sebastian}, Finding characteristic substructures for metabolite classes, 23-38, electronic only [Zbl 1472.92320]
\textit{D'Addario, Marianna; Kriege, Nils; Rahmann, Sven}, Designing q-unique DNA sequences with integer linear programs and Euler tours in de Bruijn graphs, 82-92, electronic only [Zbl 1472.92162]
\textit{Schäfer, Tim; May, Patrick; Koch, Ina}, Computation and visualization of protein topology graphs including ligand information, 108-118, electronic only [Zbl 1472.92168]
\textit{Esmaielbeiki, Reyhaneh; Nebel, Jean-Christophe}, Unbiased protein interface prediction based on ligand diversity quantification, 119-130, electronic only [Zbl 1472.92163]Virus bioinformaticshttps://zbmath.org/1472.920022021-11-25T18:46:10.358925Z"Frishman, Dmitrij"https://zbmath.org/authors/?q=ai:frishman.dmitrij"Marz, Manja"https://zbmath.org/authors/?q=ai:marz.manjaPublisher's description: Viruses are the most numerous and deadliest biological entities on the planet, infecting all types of living organisms -- from bacteria to human beings. The constantly expanding repertoire of experimental approaches available to study viruses includes both low-throughput techniques, such as imaging and 3D structure determination, and modern OMICS technologies, such as genome sequencing, ribosomal profiling, and RNA structure probing. Bioinformatics of viruses faces significant challenges due to their seemingly unlimited diversity, unusual lifestyle, great variety of replication strategies, compact genome organization, and rapid rate of evolution. At the same time, it also has the potential to deliver decisive clues for developing vaccines and medications against dangerous viral outbreaks, such as the recent coronavirus pandemics. Virus Bioinformatics reviews state-of-the-art bioinformatics algorithms and recent advances in data analysis in virology.
FEATURES
\begin{itemize}
\item Contributions from leading international experts in the field
\item Discusses open questions and urgent needs
\item Covers a broad spectrum of topics, including evolution, structure, and function of viruses, including coronaviruses
\end{itemize}
The book will be of great interest to computational biologists wishing to venture into the rapidly advancing field of virus bioinformatics as well as to virologists interested in acquiring basic bioinformatics skills to support their wet lab work.
The articles of this volume will be reviewed individually.
Indexed articles:
\textit{Frishman, Dmitrij (ed.); Marz, Manja (ed.)}, Preface, vii-x [Zbl 07420412]Computational intelligence for managing pandemicshttps://zbmath.org/1472.920032021-11-25T18:46:10.358925Z"Khamparia, Aditya"https://zbmath.org/authors/?q=ai:khamparia.aditya"Mondal, M. Rubaiyat Hossain"https://zbmath.org/authors/?q=ai:mondal.m-rubaiyat-hossain"Podder, Prajoy"https://zbmath.org/authors/?q=ai:podder.prajoy"Bhushan, Bharat"https://zbmath.org/authors/?q=ai:bhushan.bharat-vinod"de Albuquerque, Victor Hugo C."https://zbmath.org/authors/?q=ai:de-albuquerque.victor-hugo-c"Kumar, Sachin"https://zbmath.org/authors/?q=ai:kumar.sachinPublisher's description: This book uncovers the stakes and possibilities of handling pandemic diseases with the help of Computational Intelligence, using cases and applications from the current Covid-19 pandemic. The book chapters will focus on the application of CI and its related fields in managing different aspects of Covid-19, including modelling of the disease spread, data-driven prediction, identification of disease hotspots, and medical decision support.
The articles of this volume will be reviewed individually.
Indexed articles:
\textit{Sharma, Leena}, Application of rough set theory to analyze primary parameters causing death in COVID-19 patients, 1-16 [Zbl 07420665]
\textit{Khamparia, Aditya (ed.); Mondal, M. Rubauyat Hossain (ed.); Podder, Prajoy (ed.); Bhushan, Bharat (ed.); de Alburquerque, Victor Hugo C. (ed.); Kumar, Sachin (ed.)}, Preface, V-XI [Zbl 07420682]
\textit{Uppal, Arushi; Sharma, Utkarsh; Bhushan, Bharat}, Flattening the curve of COVID-19 outbreak by early forecasting, 95-120 [Zbl 07420670]
\textit{Pachpatte, Deepak}, Analysis and forecasting of COVID-19 infections in India using ARIMA model, 121-149 [Zbl 07420671]
\textit{Sharmy, Nure Naushin}, Effectiveness of machine learning in predicting the spread of COVID-19, 131-149 [Zbl 07420672]
\textit{Pandey, Anupriya; Katyayan, Pragya; Joshi, Nisheeth}, Mathematical modeling of the transmission dynamics of novel coronavirus: an India-specific study, 151-167 [Zbl 07420673]
\textit{Asif, Sohaib; Yi, Wenhui; Hou, Jin; Yi, Tao; Si, Jinhai}, Deep convolutional neural network for the classification of COVID-19 from chest X-ray images, 259-292 [Zbl 07420678]
\textit{Chauhan, Sunita S.; Dargad, Sweta A.}, Deep learning for analysis of COVID-19 electronic health records, 293-317 [Zbl 07420679]Computational modelling and imaging for SARS-CoV-2 and COVID-19https://zbmath.org/1472.920042021-11-25T18:46:10.358925Z"Prabha, S."https://zbmath.org/authors/?q=ai:prabha.sooraj-k"Karthikeyan, P."https://zbmath.org/authors/?q=ai:karthikeyan.p-kamalanand-k-selvaganesan-n"Kamalanand, K."https://zbmath.org/authors/?q=ai:kamalanand.k"Selvaganesan, N."https://zbmath.org/authors/?q=ai:selvaganesan.nPublisher's description: The aim of this book is to present new computational techniques and methodologies for the analysis of the clinical, epidemiological and public health aspects of SARS-CoV-2 and COVID-19 pandemic. The book presents the use of soft computing techniques such as machine learning algorithms for analysis of the epidemiological aspects of the SARS-CoV-2. This book clearly explains novel computational image processing algorithms for the detection of COVID-19 lesions in lung CT and X-ray images. It explores various computational methods for computerized analysis of the SARS-CoV-2 infection including severity assessment. The book provides a detailed description of the algorithms which can potentially aid in mass screening of SARS-CoV-2 infected cases. Finally the book also explains the conventional epidemiological models and machine learning techniques for the prediction of the course of the COVID-19 epidemic. It also provides real life examples through case studies. The book is intended for biomedical engineers, mathematicians, postgraduate students; researchers; medical scientists working on identifying and tracking infectious diseases.
The articles of this volume will be reviewed individually.
Indexed articles:
\textit{Selvi, J. Thamil; Subhashini, K.; Methini, M.}, Investigation of COVID-19 chest X-ray images using texture features - a comprehensive approach, 45-58 [Zbl 07420645]
\textit{Vinoth, N.; Ram, A. Ganesh; Vijayakarthick, M.; Meyyappan, S.}, Automatic mask detection and social distance alerting based on a deep-learning computer vision algorithm, 73-93 [Zbl 07420649]
\textit{Jayaprakash, Agnishwar; Nithya, R.; Kayalvizhi, M.}, Review of effective mathematical modelling of coronavirus epidemic and effect of drone disinfection, 95-110 [Zbl 07420647]
\textit{Prabha, S. (ed.); Karthikeyan, P. (ed.), Kamalanand, K. (ed.), Selvaganesan N. (ed.)}, Preface, ix-x [Zbl 07420643]
\textit{Vijayakarthick, M.; Sivaraman, E.; Meyyappan, S.; Vinoth, N.}, ANFIS algorithm-based modeling and forecasting of the COVID-19 epidemic: a case study in Tamil Nadu, India, 111-124 [Zbl 07420646]
\textit{Ram, A. Ganesh; Prabha, S.; Vijayakarthick, M.}, Prediction and analysis of SARS-CoV-2 (COVID-19) epidemic in India using LSTM network, 125-143 [Zbl 07420648]Intelligent computing applications for COVID-19. Predictions, diagnosis, and preventionhttps://zbmath.org/1472.920052021-11-25T18:46:10.358925Z"Saba, Tanzila"https://zbmath.org/authors/?q=ai:saba.tanzila"Khan, Amjad Rehman"https://zbmath.org/authors/?q=ai:khan.amjad-rehmanPublisher's description: Accurate estimation, diagnosis, and prevention of COVID-19 is a global challenge for healthcare organizations. Innovative measures can introduce and implement AI, and Mathematical Modeling applications. This book provides insight into the recent advances of applications, statistical methods, and mathematical modeling for the healthcare industry.
This book covers the state-of-the-art applications of AI and Machine Learning in past epidemics, pandemics, and COVID-19. It offers recent global case studies, and discusses how AI and statistical methods, initiatives, and applications such as Machine Learning, Deep Learning, Correlation and Regression Analysis play a major role in the prediction, diagnosis, and prevention of a pandemic. It will also focus on how AI and statistical applications can facilitate and restructure the healthcare system.
This book is written for Researchers, Students, Professionals, Executives, and the general public.
The articles of this volume will be reviewed individually.
Indexed articles:
\textit{Fatima, Nahid; Dhariwal, Monika}, Solutions of differential equations for prediction of COVID-19 cases by homotopy perturbation method, 49-65 [Zbl 07420628]
\textit{Raftarai, Arash; Mahounaki, Rahemeh Ramazani; Harouni, Majid; Karimi, Mohsen; Olghoran, Shakiba Khadem}, Predictive models of hospital readmission rate using the improved AdaBoost in COVID-19, 67-86 [Zbl 07420633]
\textit{Jones, G. Maria; Winster, S. Godfrey; Selvam, A. George Maria; Vignesh, D.}, A mathematical model and forecasting of COVID-19 outbreak in India, 213-234 [Zbl 07420635]
\textit{Saba, Tanzila (ed.); Khan, Amjad Rehman (ed.)}, Preface, vii [Zbl 07420626]Demographic methods across the tree of lifehttps://zbmath.org/1472.920062021-11-25T18:46:10.358925Z"Salguero-Gómez, Roberto"https://zbmath.org/authors/?q=ai:salguero-gomez.roberto"Gamelon, Marlène"https://zbmath.org/authors/?q=ai:gamelon.marlenePublisher's description: Demography is everywhere in our lives: from birth to death. Indeed, the universal currencies of survival, development, reproduction, and recruitment shape the performance of all species, from microbes to humans. The number of techniques for demographic data acquisition and analyses across the entire tree of life (microbes, fungi, plants, and animals) has drastically increased in recent decades. These developments have been partially facilitated by the advent of technologies such as GIS and drones, as well as analytical methods including Bayesian statistics and high-throughput molecular analyses. However, despite the universality of demography and the significant research potential that could emerge from unifying: (i) questions across taxa, (ii) data collection protocols, and (iii) analytical tools, demographic methods to date have remained taxonomically siloed and methodologically disintegrated. This is the first book to attempt a truly unified approach to demography and population ecology in order to address a wide range of questions in ecology, evolution, and conservation biology across the entire spectrum of life.
This novel book provides the reader with the fundamentals of data collection, model construction, analyses, and interpretation across a wide repertoire of demographic techniques and protocols. It introduces the novice demographer to a broad range of demographic methods, including abundance-based models, life tables, matrix population models, integral projection models, integrated population models, individual based models, and more. Through the careful integration of data collection methods, analytical approaches, and applications, clearly guided throughout with fully reproducible R scripts, the book provides an up-to-date and authoritative overview of the most popular and effective demographic tools.
The articles of this volume will be reviewed individually.