02851nam 2200553Ia 450 991097136380332120200520144314.00-88385-922-X(CKB)2560000000081416(SSID)ssj0000667039(PQKBManifestationID)11378768(PQKBTitleCode)TC0000667039(PQKBWorkID)10673764(PQKB)10713492(UkCbUP)CR9780883859223(MiAaPQ)EBC3330385(Au-PeEL)EBL3330385(CaPaEBR)ebr10729356(OCoLC)929120472(RPAM)1694420(EXLCZ)99256000000008141620111006d1961 uy 0engur|||||||||||txtrdacontentcrdamediacrrdacarrierGeometric inequalities /by Nicholas D. Kazarinoff1st ed.Washington, DC Mathematical Association of America19611 online resource (132 pages) digital, PDF file(s)Anneli Lax New Mathematical Library ;no. 4Title from publisher's bibliographic system (viewed on 02 Oct 2015).0-88385-604-2 Front Cover -- Geometric Inequalities -- Copyright Page -- CONTENTS -- Preface -- Chapter 1. Arithmetic and Geometric Means -- 1.1 Fundamentals -- 1.2 The Theorem of Arithmetic and Geometric Means -- Chapter 2. Isoperimetric Theorems -- 2.1 Maxima and minima -- 2.2 Isoperimetric theorems for triangles -- 2.3 Isoperimetric theorems for polygons -- 2.4 Steiner's attempt -- Chapter 3. The Reflection Principle -- 3.1 Symmetry -- 3.2 Dido's problem -- 3.3 Steiner symmetrization -- 3.4 Conic sections -- 3.5 Triangles -- Chapter 4. Hints and Solutions -- Index of Numhered Theorems -- Back Cover.Anybody who liked their first geometry course (and some who did not) will enjoy the simply stated geometric problems about maximum and minimum lengths and areas in this book. Many of these already fascinated the Greeks, for example, the problem of enclosing the largest possible area by a fence of given length, and some were solved long ago; but others remain unsolved even today. Some of the solutions of the problems posed in this book, for example the problem of inscribing a triangle of smallest perimeter into a given triangle, were supplied by world famous mathematicians, other by high school students.Geometry, PlaneInequalities (Mathematics)Geometry, Plane.Inequalities (Mathematics)513.1Kazarinoff Nicholas D41085MiAaPQMiAaPQMiAaPQBOOK9910971363803321Geometric inequalities81658UNINA05047nam 22006375 450 991084186500332120251117192421.09789819990146981999014910.1007/978-981-99-9014-6(MiAaPQ)EBC31174371(Au-PeEL)EBL31174371(DE-He213)978-981-99-9014-6(CKB)30482957800041(OCoLC)1423282323(EXLCZ)993048295780004120240221d2024 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierCity Information Modelling /edited by Ali Cheshmehzangi, Michael Batty, Zaheer Allam, David S. Jones1st ed. 2024.Singapore :Springer Nature Singapore :Imprint: Springer,2024.1 online resource (262 pages)Urban Sustainability,2731-64919789819990139 9819990130 City Information Modelling: An Insight into a New Era for the Built Environment -- Concepts and Trends -- City Information Modelling and Sustainable Development: The Role of CIM in Achieving Sustainable Urbanization -- Enhancing Health Outcomes through City Information Modeling (CIM): A Case Study of Sydney, Australia -- City Information Modeling and its Applications: A Review -- Applications and Digitisation -- Optimizing Urban Design for Pandemics Using Reinforcement Learning and Multi-Objective Optimization -- Sustainable Smart City Application Based on Machine Learning: A Case Study Example from the Province of Tekirdağ, Turkey -- The Role of City Information Modelling (CIM) in Evaluating the Spatial Correlation Between Vegetation Index Changes and Heat Island Severity in the Last Two Decades in Tehran Metropolis -- Exploiting Advantages of VPL in City Information Modelling for Rapid Digital Urban Surveying and Structural Analysis -- Frameworks and Practices -- Towards Adaptive and Resilient Strategies using Digital Twins: A Study on the Port of Tyne, UK -- Ecosystem Institutional Maturity: Perspectives for CIM in Urban Management and Planning in Curitiba, Brazil -- The Use of City Information Modelling (CIM) for Realizing Zero Energy Community: A Path Towards Carbon Neutrality -- Conclusions and the Future of City Information Modelling (CIM).This is the first book focused on City Information Modelling (CIM) that puts together a collection of recent studies related to concepts and trends in CIM, application and digitization processes/methods, and frameworks and practices of CIM. This emerging topic is important to various research and practice under sectors of the built environment, civil engineering, urban planning, urban design, and urban management. CIM aligns well with smart cities, data-driven urban analytics and optimization, information-based city planning, and future development paradigms. City Information Modelling provides global case study examples in three parts. At first, the contributors offer several examples of ‘Concepts and Trends’, where CIM is explored further in urban management, urban sustainability, and big data studies. In the second part, the book offers various examples of application and digitization processes or methods related to urban planning and design practices. In the third part, the contributors delve into several examples of CIM frameworks and practices critical to contemporary research, planning and design paradigms, and future practices. This collection is a niche resource for various stakeholders, particularly urban scientists, urban analytics, urban practitioners, and researchers. It will also be a valuable collection for those who work with information-based models, urban optimization models, and big data analytics, particularly from policy and practice perspectives. The findings of this collection help direct future research in CIM and suggest opportunities for big-data urban research, integrated urban models, and holistic frameworks in sustainable cities, smart cities, and future cities.Urban Sustainability,2731-6491Building information modelingSustainable architectureUrban policyBuilding Information ModelingSustainable Architecture/Green BuildingsUrban PolicyBuilding information modeling.Sustainable architecture.Urban policy.Building Information Modeling.Sustainable Architecture/Green Buildings.Urban Policy.720.285Cheshmehzangi Ali849626Batty Michael33642Allam Zaheer861409Jones David S196542MiAaPQMiAaPQMiAaPQBOOK9910841865003321City Information Modelling4140058UNINA