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The book highlights the polytopic projects basic similarity despite the noticeable difference as domains of application. The roads to follow and the algebra of changing roads are emphasized.\u003cbr\u003eThe book is divided in 9 chapters. Chapter 1 introduces the Polytopic Roadmap to 4D and beyond. The role for the dialogue of processes in duality of the non-Aristotelian Logic of Contradiction and of Included Middle is emphasized for different domains. Chapter 2 refers to chemical systems. Supramolecular chemistry, metal organic frameworks, MOF, and reaction networks, are the examples considered in the frame of polytopic chemistry. Chapter 3 refers to biological systems. Biological dynamical hierarchies and quasi-species are the considered case studies. Technological and scientific projects targeting artificiality for cells and viruses are considered. Chapter 4 refers to cognitive systems. Developmental stages, formal and relational concepts analysis, and neural coding are considered here. The roles of the 4D systems of systems of systems and of conceptual 4D-cube are emphasized. Artificiality for cognitive systems is the object of study.\u003cbr\u003eChapter 5 refers to mathematical systems. Modeling levels and the 4D digital twins are discussed. Hopf monoids as tools for the study of combinations and separations, dual graded graphs and V-models are informally presented. Chapter 6 refers to application of formal concept analysis, FCA, for high dimensional separations, nesting and drug delivery. Chapter 7 refers to polytopic engineering systems as multiscale transfer, distributors-collectors, cyclic operations, middle vessel columns, mixing, assembly and designs. Equipments have been characterized using Polytopic Roadmaps and classified by Periodic Tables. Chapter 8 introduces polytopic industry, economy, society and sustainability. Chapter 9 outlines new domains of interest as arts and architecture, transdisciplinarity, complex systems and unity of sciences and engineering.\u003cbr\u003ePolytopic Roadmaps are proposed as Method for experts from various fields to synthesize their thinking and capabilities into new projects implementation to face and surpass high complexity. A repetitive finding of this book is that self-evolvability observed in physical systems is based on the same directed sequence of reference architectures as the self-evolvability of concepts in our mind. Continuing to develop the field of self-evolvable systems and presenting the polytopic roadmaps for 4D and beyond advances in ever growing complexity domains, the book will be useful to engineers, researchers, entrepreneurs and students in different branches of production, complex systems sciences and engineering, ecology and applied mathematics.\u003cbr\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52135345127697,"sku":"NLS9783031079825","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783031079825.jpg?v=1791946588"},{"product_id":"modeling-multi-level-systems-book-octavian-iordache-9783642423680","title":"Modeling Multi-Level Systems","description":"\u003cp\u003eThis book is devoted to modeling of multi-level complex systems, a challenging domain for engineers, researchers and entrepreneurs, confronted with the transition from learning and adaptability to evolvability and autonomy for technologies, devices and problem solving methods. Chapter 1 introduces the multi-scale and multi-level systems and highlights their presence in different domains of science and technology. Methodologies as, random systems, non-Archimedean analysis, category theory and specific techniques as model categorification and integrative closure, are presented in chapter 2. Chapters 3 and 4 describe polystochastic models, PSM, and their developments. Categorical formulation of integrative closure offers the general PSM framework which serves as a flexible guideline for a large variety of multi-level modeling problems.\u003c\/p\u003e\u003cp\u003eFocusing on chemical engineering, pharmaceutical and environmental case studies, the chapters 5 to 8 analyze mixing, turbulent dispersion and entropy production for multi-scale systems. Taking inspiration from systems sciences, chapters 9 to 11 highlight multi-level modeling potentialities in formal concept analysis, existential graphs and evolvable designs of experiments. Case studies refer to separation flow-sheets, pharmaceutical pipeline, drug design and development, reliability management systems, security and failure analysis. Perspectives and integrative points of view are discussed in chapter 12. Autonomous and viable systems, multi-agents, organic and autonomic computing, multi-level informational systems, are revealed as promising domains for future applications.\u003c\/p\u003e\u003cp\u003eWritten for: engineers, researchers, entrepreneurs and students in chemical, pharmaceutical, environmental and systems sciences engineering, and for applied mathematicians.\u003c\/p\u003e","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52138515104017,"sku":"NLS9783642423680","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642423680.jpg?v=1786039949"},{"product_id":"modeling-multi-level-systems-book-octavian-iordache-9783642179457","title":"Modeling Multi-Level Systems","description":"This book offers broad coverage of a challenging new domain for engineers, researchers and entrepreneurs who are negotiating the transition from learning and adaptability to evolvability and autonomy for technologies, devices and problem-solving methods.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52141974782225,"sku":"NLS9783642179457","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642179457.jpg?v=1791969656"},{"product_id":"implementing-polytope-projects-for-smart-systems-book-octavian-iordache-9783319525501","title":"Implementing Polytope Projects for Smart Systems","description":"Polytope projects facilitate the utilization of smart systems and structures as key elements of the fourth industrial revolution.The book begins by presenting polytope projects as a reference architecture for cyber-physical systems and smart systems, before addressing industrial process synthesis inChapter 2.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52332806078737,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52332806734097,"sku":"NLS9783319525501","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783319525501.jpg?v=1792252283"},{"product_id":"advanced-polytopic-projects-book-octavian-iordache-9783030131661","title":"Advanced Polytopic Projects","description":"\u003cp\u003eThis book focuses on new developments in polytopic projects, particularly on implementation domains and case studies, as well as high-dimensional methodology. 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Complex systems areassembliesof multiple subsystemsand arecharact- ized by emergent behavior that results by nonlinear interactions among the subsystems at multiple levels of organization. Evolvability that is the ability to evolve is the method to confront and surpass the successive boundaries of complexity. Evolvability is not biological but should be considered here in the sense that the corresponding systems have, at di'erent levels, charact- istics that are naturally associated to the living systems. The signi'cance of the complexity and the phenomena of emergence are highlighted in the ?rst chapterofthe book.Theimplicationofconcepts aslevelofreality,circularity and closure for evolvable systems is evaluated. The second chapter of the book exposes the methodology to analyze and manage complex systems. The polystochastic models, PSMs, are the cons- ered mathematical tools. PSMs characterize systems emerging when several stochastic processes occurring at di'erent conditioning levels, are capable to interact with each other, resulting in qualitatively new processes and s- tems. Innovative are the higher categories approach and the introduction of apartialdi'erentialmodelfor multiple levelsmodeling.This imposes making use of appropriate notions of time, space, probabilities and entropy. 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Multiple interactions and emergences are the core of higher complexity and of associated models and projects. The starting point of our approach is the observed similarity or isomorphism of roadmaps toward higher complexity and of reference architectures for different domains of reality.\u003c\/p\u003e\n\n\u003cp\u003eThe objective is to propose a General Polytopic Roadmaps (GPTR) and a General Reference Architecture Framework (GRAF) and use these for 8D Program implementation. The GPTR shows the stages: 0D, 1D, 2D, 4D, and 8D.\u003c\/p\u003e\n\n\u003cp\u003eThe book is divided into 8 chapters. Chapter 1 introduces the GRAF as a 4D of 4D polytope. Chapter 2 emphasizes the role for the dialogue of processes in duality, of the logic of contradiction, of iteration and of included middle to face high complexity. Chapter 3 refers to operations and equipments of engineering interest as permutations, mixings and separations. Chapter 4 refers to modeling and simulation. Chapter 5 concerns creative design models. Dual process design, and processes integration are presented. Industry 4.0, future developments to Industry 8.0 and chemical engineering paradigms are evaluated in Chapter 6. Chapter 7 focuses on complex systems as production systems of systems architecture frameworks, decision models, operations processes, and cyber-physical social systems. 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