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This book will serve as a valuable source of information about triangulations for the graduate student and researcher. With emphasis on computational issues, it presents the basic theory necessary to construct and manipulate triangulations. In particular, the book gives a tour through the theory behind the Delaunay triangulation, including algorithms and software issues. It also discusses various data structures used for the representation of triangulations.
Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
This book shows you not just how to use triangulation as a strategy of quality management, but also how to use it as an approach to designing and doing qualitative research in a more comprehensive way. Flick links triangulation with current debates about using mixed methods, and outlines their potential for extending qualitative research, addressing questions such as how such research can benefit from integrating quantitative (mixed methods), or from working more generally with more than one approach (triangulation).
This book shows you not just how to use triangulation as a strategy of quality management, but also how to use it as an approach to designing and doing qualitative research in a more comprehensive way. Flick links triangulation with current debates about using mixed methods, and outlines their potential for extending qualitative research, addressing questions such as how such research can benefit from integrating quantitative (mixed methods), or from working more generally with more than one approach (triangulation).
After a recent case with a treacherous client, North and Shaw are ready to go back to work building Borealis Investigations. They’re also ready to go back to dodging their feelings for each other, with neither man ready to deal with the powerful emotions the Matty Fennmore case stirred up. Everything is getting back to normal when their secretary asks for help: her girlfriend’s boss has gone missing. Shep Collins runs a halfway house for LGBTQ kids and is a prominent figure in St. Louis’s gay community. When he disappears, however, dark truths begin to emerge about Shep’s past: his string of failed relationships, a problem with disappearing money, and his work, years before, as one o...
Written by authors at the forefront of modern algorithms research, Delaunay Mesh Generation demonstrates the power and versatility of Delaunay meshers in tackling complex geometric domains ranging from polyhedra with internal boundaries to piecewise smooth surfaces. Covering both volume and surface meshes, the authors fully explain how and why thes
As a new type of technique, simplicial methods have yielded extremely important contributions toward solutions of a system of nonlinear equations. Theoretical investigations and numerical tests have shown that the performance of simplicial methods depends critically on the triangulations underlying them. This monograph describes some recent developments in triangulations and simplicial methods. It includes the D1-triangulation and its applications to simplicial methods. As a result, efficiency of simplicial methods has been improved significantly. Thus more effective simplicial methods have been developed.
This book discusses key conceptual aspects and explores the connection between triangulated manifolds and quantum physics, using a set of case studies ranging from moduli space theory to quantum computing to provide an accessible introduction to this topic. Research on polyhedral manifolds often reveals unexpected connections between very distinct aspects of mathematics and physics. In particular, triangulated manifolds play an important role in settings such as Riemann moduli space theory, strings and quantum gravity, topological quantum field theory, condensed matter physics, critical phenomena and complex systems. Not only do they provide a natural discrete analogue to the smooth manifold...
This volume breaks new grounds by bringing together a great variety of innovative contributions on triangulation, epistemology, and mind. The notion of “triangulation”, developed by Donald Davidson (1917-2003) during the last two decades of his life, has changed our understanding of the relationship between subjective, intersubjective, and objective, and shed new light on concepts such as externalism, internalism, communication, interpretation, and language. At the same time, however, it has been strongly criticized for several aspects. The papers collected in this volume—written by established contributors—aim to provide new insights into the contemporary debate on triangulation. The upshot is not only a deeper understanding of Davidson’s ideas but also a new appreciation of some central problems of epistemology and the philosophy of mind with regard to adjoining disciplines such as, for instance, cognitive sciences and the philosophy of language.
High school teachers face common challenges. How do we assist students to cognitively advance before they typically do on their own? How do we maintain a scholarly atmosphere in the classroom and still keep the material relevant to student lives? The purpose of this book is to turn students into investigators of psychology. I want to reframe student ideas that research is an abstraction, and help them come to the realization that a listing of facts is meaningless without understanding their origin. Once students understand the real meaning of psychological information, the "facts" have a clear application. This book assists students in designing a simple experiment. The directions are appropriate for a student's first experience with research methods. Students also learn the basics of non-experimental design so they can run simple studies and interpret the meaning of information obtained by the different methods in essays. All teachers can appreciate the problem solving approach to learning about research methods. Scores on all tests formats can improve if students develop a true understanding of methodology. Students remember what they understand!