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The thematic range of this book is wide and can loosely be described as polydispersive. Figuratively, it resembles a polynuclear path of yielding (poly)crystals. Such path can be taken when looking at it from the first side. However, a closer inspection of the book’s contents gives rise to a much more monodispersive/single-crystal and compacted (than crudely expected) picture of the book’s contents presented to a potential reader. Namely, all contributions collected can be united under the common denominator of maximum-entropy and entropy production principles experienced by both classical and quantum systems in (non)equilibrium conditions. The proposed order of presenting the material commences with properly subordinated classical systems (seven contributions) and ends up with three remaining quantum systems, presented by the chapters’ authors. The overarching editorial makes the presentation of the wide-range material self-contained and compact, irrespective of whether comprehending it from classical or quantum physical viewpoints.
Research & information: general --- Physics --- multistability --- ergodicity --- Brownian motion --- tilted periodic potential --- Lévy noise --- nonequilibrium thermodynamics --- active particles --- entropy production --- dissipative structures --- quantum entanglement --- linear entropy --- coherence --- purity of states --- concurrence --- three-qubit systems --- quantum graphs --- microwave networks --- Euler characteristic --- Neumann and Dirichlet boundary conditions --- II law of thermodynamics --- Carnot principle --- Kelvin principle --- Ostwald principle --- perpetuum mobile type III --- Clausius I and II principles --- formal implication --- model theory --- spherulites --- (poly)crystal formation --- complex growing phenomenon --- soft condensed matter --- physical kinetics --- anticoherence --- entanglement --- nonlinear systems --- human serum albumin --- hyaluronan --- conformational entropy --- dihedral angles --- frequency distribution --- epidemy --- compartmental models --- computer simulation --- SARS-CoV-2-like disease spreading --- chemical computing --- network --- oscillators --- top-down design --- Oregonator model --- Japanese flag problem --- n/a --- Lévy noise
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This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.
Mathematical models --- History. --- Models, Mathematical --- Simulation methods --- Models matemàtics --- Història --- Ciències socials --- Humanitats --- Ciències polítiques --- Conspiracions --- Cops d'Estat --- Cròniques --- Cronologia --- Demografia històrica --- Descobriments geogràfics --- Diplomàcia --- Escàndols --- Filosofia de la història --- Fonts històriques --- Història antiga --- Història constitucional --- Història contemporània --- Història de l'antropologia --- Història de l'art --- Història de l'urbanisme --- Història de la ciència --- Història de la civilització --- Història de la dona --- Història de la filosofia --- Història de la lingüística --- Història de la literatura --- Història de la psicologia --- Història de la tecnologia --- Història de la veterinària --- Història de les biblioteques --- Història del dret --- Història del llibre --- Història del transport --- Història eclesiàstica --- Història econòmica --- Història local --- Història medieval --- Història militar --- Història moderna --- Història pública --- Història social --- Història universal --- Historiografia --- Llocs històrics --- Migració de pobles --- Reis i sobirans --- Cinema històric --- Protohistòria --- Sociologia històrica --- Ciències auxiliars de la història --- Didàctica de la història --- Historiadores --- Historiadors --- Previsió --- Models (Matemàtica) --- Models experimentals --- Models teòrics --- Mètodes de simulació --- Anàlisi de sistemes --- Mètode de Montecarlo --- Modelització multiescala --- Models economètrics --- Models lineals (Estadística) --- Models multinivell (Estadística) --- Models no lineals (Estadística) --- Programació (Ordinadors) --- Simulació per ordinador --- Teoria de màquines --- Models biològics --- history of mathematics: 19th to the 21st century --- mathematical model --- model theory --- mathematization of nature --- Mathematics
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