Download or read book Infinite Periodic Minimal Surfaces Without Self intersections written by Alan Hugh Schoen and published by . This book was released on 1970 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Note written by and published by . This book was released on 1970 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Triply Periodic Minimal Surface Lattices Additively Manufactured by Selective Laser Melting written by Chunze Yan and published by Academic Press. This book was released on 2021-06-12 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Triply Periodic Minimal Surface Lattices by Selective Laser Melting Additive Manufacturing presents the design, manufacturing, microstructure, mechanical properties and applications of TPMS structures fabricated by selective laser additive manufacturing technology. The title explains these complex and useful structures based on systematic work in the UK and China. Sections introduce structure design methods, assess TPMS structures, explain mathematical their modeling, present the manufacturing, microstructure, mechanical and fatigue properties of metal uniform TPMS structures, discuss manufacturing and mechanical responses for functionally graded TPMS structures, give numerical analysis methods for predicting the mechanics of uniform and functionally graded TPMS structures, and more. Presents the state-of-the art in triply periodic minimal surface (TPMS) structures by surface laser melting (SLM) Describes how to assess manufacturability of TPMS structures by additive manufacturing (AM) Analyzes the mechanical properties of TPMS structures through experimental and numerical methods Details topology optimization for pore size Gives fatigue fracture mechanics for TPMS structures
Download or read book Statistical Thermodynamics and Differential Geometry of Microstructured Materials written by H.Ted Davis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: Substances possessing heterogeneous microstructure on the nanometer and micron scales are scientifically fascinating and technologically useful. Examples of such substances include liquid crystals, microemulsions, biological matter, polymer mixtures and composites, vycor glasses, and zeolites. In this volume, an interdisciplinary group of researchers report their developments in this field. Topics include statistical mechanical free energy theories which predict the appearance of various microstructures, the topological and geometrical methods needed for a mathematical description of the subparts and dividing surfaces of heterogeneous materials, and modern computer-aided mathematical models and graphics for effective exposition of the salient features of microstructured materials.
Download or read book Growth Patterns in Physical Sciences and Biology written by Jaun-Manuel Garcia-Ruiz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade interest in the formation of complex disorderly patterns far from equilibrium has grown rapidly. This interest has been stim ulated by the development of new approaches (based primarily on fractal geometry) to the quantitative description of complex structures, increased understanding of non-linear phenomena and the introduction of a variety of models (such as the diffusion-limited aggregation model) that provide paradigms for non-equilibrium growth phenomena. Advances in computer technology have played a crucial role in both the experimental and theoret ical aspects of this enterprise. Substantial progress has been made towards the development of comprehensive understanding of non-equilibrium growth phenomena but most of our current understanding is based on simple com puter models. Pattern formation processes are important in almost all areas of science and technology, and, clearly, pattern growth pervades biology. Very often remarkably similar patterns are found in quite diverse systems. In some case (dielectric breakdown, electrodeposition, fluid-fluid displacement in porous media, dissolution patterns and random dendritic growth for example) the underlying causes of this similarity is quite well understood. In other cases (vascular trees, nerve cells and river networks for example) we do not yet know if a fundamental relationship exists between the mechanisms leading the formation of these structures.
Download or read book Mathematical Modelling and Optimization of Engineering Problems written by J. A. Tenreiro Machado and published by Springer Nature. This book was released on 2020-02-12 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent developments in modelling and optimization of engineering systems and the use of advanced mathematical methods for solving complex real-world problems. It provides recent theoretical developments and new techniques based on control, optimization theory, mathematical modeling and fractional calculus that can be used to model and understand complex behavior in natural phenomena including latest technologies such as additive manufacturing. Specific topics covered in detail include combinatorial optimization, flow and heat transfer, mathematical modelling, energy storage and management policy, artificial intelligence, optimal control, modelling and optimization of manufacturing systems.
Download or read book A Course in Minimal Surfaces written by Tobias H. Colding and published by American Mathematical Soc.. This book was released on 2011 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Minimal surfaces date back to Euler and Lagrange and the beginning of the calculus of variations. Many of the techniques developed have played key roles in geometry and partial differential equations. Examples include monotonicity and tangent cone analysis originating in the regularity theory for minimal surfaces, estimates for nonlinear equations based on the maximum principle arising in Bernstein's classical work, and even Lebesgue's definition of the integral that he developed in his thesis on the Plateau problem for minimal surfaces. This book starts with the classical theory of minimal surfaces and ends up with current research topics. Of the various ways of approaching minimal surfaces (from complex analysis, PDE, or geometric measure theory), the authors have chosen to focus on the PDE aspects of the theory. The book also contains some of the applications of minimal surfaces to other fields including low dimensional topology, general relativity, and materials science."--Publisher's description.
Download or read book MICCAI 2005 written by James Duncan and published by Springer Science & Business Media. This book was released on 2005-10-11 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 3749 and LNCS 3750 constitutes the refereed proceedings of the 8th International Conference on Medical Image Computing and Computer-Assisted Intervention, MICCAI 2005, held in Palm Springs, CA, USA, in October 2005. Based on rigorous peer reviews the program committee selected 237 carefully revised full papers from 632 submissions for presentation in two volumes. The first volume includes all the contributions related to image analysis and validation, vascular image segmentation, image registration, diffusion tensor image analysis, image segmentation and analysis, clinical applications - validation, imaging systems - visualization, computer assisted diagnosis, cellular and molecular image analysis, physically-based modeling, robotics and intervention, medical image computing for clinical applications, and biological imaging - simulation and modeling. The second volume collects the papers related to robotics, image-guided surgery and interventions, image registration, medical image computing , structural and functional brain analysis, model-based image analysis, image-guided intervention: simulation, modeling and display, and image segmentation and analysis.
Download or read book A Survey on Classical Minimal Surface Theory written by William Meeks and published by American Mathematical Soc.. This book was released on 2012 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meeks and Pérez extend their 2011 survey article "The classical theory of Minimal surfaces" in the Bulletin of the American Mathematical Society to include other recent research results. Their topics include minimal surfaces with finite topology and more than one end, limits of embedded minimal surfaces without local area or curvature bounds, conformal structure of minimal surfaces, embedded minimal surfaces of finite genus, topological aspects of minimal surfaces, and Calabi-Yau problems. There is no index. Annotation ©2013 Book News, Inc., Portland, OR (booknews.com).
Download or read book Mathematical Constants II written by Steven R. Finch and published by Cambridge University Press. This book was released on 2003 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: Famous mathematical constants include the ratio of circular circumference to diameter, π = 3.14 ..., and the natural logarithm base, e = 2.718 .... Students and professionals can often name a few others, but there are many more buried in the literature and awaiting discovery. How do such constants arise, and why are they important? Here the author renews the search he began in his book Mathematical Constants, adding another 133 essays that broaden the landscape. Topics include the minimality of soap film surfaces, prime numbers, elliptic curves and modular forms, Poisson-Voronoi tessellations, random triangles, Brownian motion, uncertainty inequalities, Prandtl-Blasius flow (from fluid dynamics), Lyapunov exponents, knots and tangles, continued fractions, Galton-Watson trees, electrical capacitance (from potential theory), Zermelo's navigation problem, and the optimal control of a pendulum. Unsolved problems appear virtually everywhere as well. This volume continues an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1970-08 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Minimal Surfaces from a Complex Analytic Viewpoint written by Antonio Alarcón and published by Springer Nature. This book was released on 2021-03-10 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph offers the first systematic treatment of the theory of minimal surfaces in Euclidean spaces by complex analytic methods, many of which have been developed in recent decades as part of the theory of Oka manifolds (the h-principle in complex analysis). It places particular emphasis on the study of the global theory of minimal surfaces with a given complex structure. Advanced methods of holomorphic approximation, interpolation, and homotopy classification of manifold-valued maps, along with elements of convex integration theory, are implemented for the first time in the theory of minimal surfaces. The text also presents newly developed methods for constructing minimal surfaces in minimally convex domains of Rn, based on the Riemann–Hilbert boundary value problem adapted to minimal surfaces and holomorphic null curves. These methods also provide major advances in the classical Calabi–Yau problem, yielding in particular minimal surfaces with the conformal structure of any given bordered Riemann surface. Offering new directions in the field and several challenging open problems, the primary audience of the book are researchers (including postdocs and PhD students) in differential geometry and complex analysis. Although not primarily intended as a textbook, two introductory chapters surveying background material and the classical theory of minimal surfaces also make it suitable for preparing Masters or PhD level courses.
Download or read book Theory of Block Polymer Self Assembly written by Benjamin R. Magruder and published by American Chemical Society. This book was released on 2024-03-13 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer introduces the theory of self-assembly of block polymers, most notably self-consistent field theory (SCFT). Block polymer self-assembly is a fascinating and highly interdisciplinary topic. This primer can be read at several levels, depending on what readers want to get out of it. Readers who want an overview of self-assembly in block polymer and what SCFT says about the process can read Chapters 1-3 and skip to Chapter 7 to see the open questions. If the reader is further interested in the output of SCFT calculations but not how those outputs are generated, they should read Chapter 6 as well. But if the reader wants to learn how to do the SCFT calculations themselves, Chapters 4 and 5 offer an accessible introduction to the theory and numerical methods, providing an excellent entry point into the literature. This primer includes data that the authors have computed using SCFT. All calculations use the open-source software package Polymer Self-Consistent Field (PSCF), developed by David Morse at the University of Minnesota. Take breaks from reading to watch ten “Insider Q&A” videos included throughout, which offer additional insight from experts in the field, such as An-Chang Shi, Chinedum O. Osuji, Frank S. Bates, Christopher M. Bates, Glenn H. Fredrickson, and Lisa Hall. Furthermore, this primer includes multiple features to aid and enhance readers’ learning. “That’s a Wrap” summarizes key concepts at the end of each chapter, while “Read These Next” suggests references that may interest further reading. A pop-up glossary ensures readers have definitions as needed throughout the primer.
Download or read book Medical Image Computing and Computer Assisted Intervention MICCAI 2005 written by James Duncan and published by Springer. This book was released on 2005-09-27 with total page 981 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Differential Geometry Volume 1 written by F.J.E. Dillen and published by Elsevier. This book was released on 1999-12-16 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.
Download or read book Minimal Surfaces Integrable Systems and Visualisation written by Tim Hoffmann and published by Springer Nature. This book was released on 2021-05-06 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original peer-reviewed contributions to the conferences organised by the international research network “Minimal surfaces: Integrable Systems and Visualization” financed by the Leverhulme Trust. The conferences took place in Cork, Granada, Munich and Leicester between 2016 and 2019. Within the theme of the network, the presented articles cover a broad range of topics and explore exciting links between problems related to the mean curvature of surfaces in homogeneous 3-manifolds, like minimal surfaces, CMC surfaces and mean curvature flows, integrable systems and visualisation. Combining research and overview articles by prominent international researchers, the book offers a valuable resource for both researchers and students who are interested in this research area.
Download or read book Chemical Topology written by Danail Bonchev and published by CRC Press. This book was released on 2000-07-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology has been extensively applied in the study of chemically linked and knotted structures, and also in the study of many biologically significant molecules such as proteins and DNA. These are the themes that are addressed in this volume of the Mathematical Chemistry series. The topological chirality of knotted and linked molecular species and the invariants that may characterize them are explored in detail.
