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This book provides a first course on deep learning in computational mechanics. The book starts with a short introduction to machine learning’s fundamental concepts before neural networks are explained thoroughly. It then provides an overview of current topics in physics and engineering, setting the stage for the book’s main topics: physics-informed neural networks and the deep energy method. The idea of the book is to provide the basic concepts in a mathematically sound manner and yet to stay as simple as possible. To achieve this goal, mostly one-dimensional examples are investigated, such as approximating functions by neural networks or the simulation of the temperature’s evolution in a one-dimensional bar. Each chapter contains examples and exercises which are either solved analytically or in PyTorch, an open-source machine learning framework for python.
This edited volume summarizes research being pursued within the DFG Priority Programme 1748: "Reliable Simulation Methods in Solid Mechanics. Development of non-standard discretisation methods, mechanical and mathematical analysis", the aim of which was to develop novel discretisation methods based e.g. on mixed finite element methods, isogeometric approaches as well as discontinuous Galerkin formulations, including a sound mathematical analysis for geometrically as well as physically nonlinear problems. The Priority Programme has established an international framework for mechanical and applied mathematical research to pursue open challenges on an inter-disciplinary level. The compiled results can be understood as state of the art in the research field and show promising ways of further research in the respective areas. The book is intended for doctoral and post-doctoral students in civil engineering, mechanical engineering, applied mathematics and physics, as well as industrial researchers interested in the field.
Artificial Intelligence for a More Sustainable Oil and Gas Industry and the Energy Transition: Case Studies and Code Examples presents a package for academic researchers and industries working on water resources and carbon capture and storage. This book contains fundamental knowledge on artificial intelligence related to oil and gas sustainability and the industry's pivot to support the energy transition and provides practical applications through case studies and coding flowcharts, addressing gaps and questions raised by academic and industrial partners, including energy engineers, geologists, and environmental scientists. This timely publication provides fundamental and extensive information on advanced AI applications geared to support sustainability and the energy transition for the oil and gas industry. - Reviews the use and applications of AI in energy transition of the oil and gas sectors - Provides fundamental knowledge and academic background of artificial intelligence, including practical applications with real-world examples and coding flowcharts - Showcases the successful implementation of AI in the industry (including geothermal energy)
“Nel mezzo del cammin di nostra vita”… potrei iniziare così, rubando il verso al cantore dei cantori, per spiegare come è nato questo lavoro. Questo libro è nato perché, amando l’hobby della scrittura (e i milioni di scrittori in erba mi capiranno) avevo voglia di scrivere. Quella voglia che si innesca da quando ti svegli al mattino e che ti segue per tutte le 12 ore nelle quali devi però svolgere il tuo vero lavoro e quindi non puoi farlo. Ma in ogni pausa, in ogni spostamento in auto tra un impegno e l’altro, la voglia di scrivere ti segue. Salvo poi arrivare a casa ed essere così stanco da dover rinunciare. Ma la voglia di scrivere va al di là della forza. E così la sera...
Kähler geometry is a beautiful and intriguing area of mathematics, of substantial research interest to both mathematicians and physicists. This self-contained graduate text provides a concise and accessible introduction to the topic. The book begins with a review of basic differential geometry, before moving on to a description of complex manifolds and holomorphic vector bundles. Kähler manifolds are discussed from the point of view of Riemannian geometry, and Hodge and Dolbeault theories are outlined, together with a simple proof of the famous Kähler identities. The final part of the text studies several aspects of compact Kähler manifolds: the Calabi conjecture, Weitzenböck techniques, Calabi–Yau manifolds, and divisors. All sections of the book end with a series of exercises and students and researchers working in the fields of algebraic and differential geometry and theoretical physics will find that the book provides them with a sound understanding of this theory.
This book reviews the most recent developments in the field of osteochondral tissue engineering (OCTE) and presents challenges and strategies being developed that face not only bone and cartilage regeneration, but also establish osteochondral interface formation in order to translate it into a clinical setting. Topics include nanotechnology approaches and biomaterials advances in osteochondral engineering, advanced processing methodology, as well as scaffolding and surface engineering strategies in OCTE. Hydrogel systems for osteochondral applications are also detailed thoroughly. Osteochondral Tissue Engineering: Nanotechnology, Scaffolding-Related Developments and Translation is an ideal book for biomedical engineering students and a wide range of established researchers and professionals working in the orthopedic field.
Soccer World è l'unico annuario statistico sul calcio internazionale prodotto interamente in Italia. Forte di una quantità innumerevole di statistiche il volume permette di conoscere informazioni spesso non comuni ad altre pubblicazioni del settore come per esempio i dati societari di tutti i club presenti, gli organici minuziosamente aggiornati di oltre 500 squadre e l'analisi tattica di ognuna di esse con le disposizioni in campo dei giocatori. Inoltre l'elenco dei più importanti movimenti del calciomercato estivo uniti ad un resoconto dettagliato della stagione precedente con il palmarès di ogni squadra rendono ogni edizione una piccola pietra miliare nel suo genere. Utile sia per l'esperto del settore che per il semplice appassionato. Imperdibile!