Type R

Type R

Author: Ama Marston

Publisher: PublicAffairs

Published: 2018-01-09

Total Pages: 256

ISBN-13: 1610398076

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Forget Type As and Bs. The future lies with Type Rs-the resilient individuals, leaders, businesses, families, and communities who turn challenges into opportunities in times of upheaval, crisis, and change. In Type R, Ama Marston and Stephanie Marston explore Transformative Resilience and the strategies of those who use difficult circumstances as catalysts for growth -- springing forward rather than bouncing back during turbulent times. Here, Ama and Stephanie share inspiring stories of Type Rs thriving during unprecedented world events and increasing global pressures -- from climate change to financial crises. They share the individual and collective triumphs of people coping with the stress of daily life and the challenges and disruptions that rattle all our lives at some point. And they draw upon research that spans the personal and the professional, the local and the global. Reaching across psychology, neuroscience, business, and politics, Type R demonstrates how we can use challenges to innovate, create new strengths, and grow. Type R also teaches leaders, businesses, and organizations how to cultivate the critical Type R Vision and Culture, which is essential for navigating and thriving in disruptive change. This thought-provoking book proves that there is much we can learn from those who use change, stress, and adversity as springboards to progress in a chaotic world.


Types for Proofs and Programs

Types for Proofs and Programs

Author: Ferruccio Damiani

Publisher: Springer Science & Business Media

Published: 2009-06-19

Total Pages: 331

ISBN-13: 3642024432

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This book constitutes the thoroughly refereed post-conference proceedings of TYPES 2008, the last of a series of meetings of the TYPES working group funded by the European Union between 1993 and 2008; the workshop has been held in Torino, Italy, in March 2008. The 19 revised full papers presented were carefully reviewed and selected from 27 submissions. The topic of the workshop was formal reasoning and computer programming based on type theory: languages and computerized tools for reasoning, and applications in several domains such as analysis of programming languages, certified software, mobile code, formalization of mathematics, mathematics education.


Qualified Types

Qualified Types

Author: Mark P. Jones

Publisher: Cambridge University Press

Published: 2003-10-16

Total Pages: 176

ISBN-13: 9780521543262

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Qualified types can be viewed as a generalization of type classes in the functional language Haskell and the theorem prover Isabelle. These in turn are extensions of equality types in Standard ML. Other applications of qualified types include extensible records and subtyping. This book describes the use of qualified types to provide a general framework for the combination of polymorphism and overloading. Using a general formulation of qualified types, the author extends the Damas/Milner type inference algorithm to support qualified types. In addition, he describes a new technique for establishing suitable coherence conditions that guarantee the same semantics for all possible translations of a given term. Practical issues that arise in concrete implementations are also discussed, concentrating in particular on the implementation of overloading in Haskell and Gofer, a small functional programming system developed by the author. This book will be suitable for advanced graduate students and researchers in computer science.


Hyperidentities and Clones

Hyperidentities and Clones

Author: Klaus Denecke

Publisher: CRC Press

Published: 2000-08-08

Total Pages: 328

ISBN-13: 148228751X

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Theories and results on hyperidentities have been published in various areas of the literature over the last 18 years. Hyperidentities and Clones integrates these into a coherent framework for the first time. The author also includes some applications of hyperidentities to the functional completeness problem in multiple-valued logic and extends the


The Little Typer

The Little Typer

Author: Daniel P. Friedman

Publisher: MIT Press

Published: 2018-09-18

Total Pages: 418

ISBN-13: 0262536439

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An introduction to dependent types, demonstrating the most beautiful aspects, one step at a time. A program's type describes its behavior. Dependent types are a first-class part of a language, and are much more powerful than other kinds of types; using just one language for types and programs allows program descriptions to be as powerful as the programs they describe. The Little Typer explains dependent types, beginning with a very small language that looks very much like Scheme and extending it to cover both programming with dependent types and using dependent types for mathematical reasoning. Readers should be familiar with the basics of a Lisp-like programming language, as presented in the first four chapters of The Little Schemer. The first five chapters of The Little Typer provide the needed tools to understand dependent types; the remaining chapters use these tools to build a bridge between mathematics and programming. Readers will learn that tools they know from programming—pairs, lists, functions, and recursion—can also capture patterns of reasoning. The Little Typer does not attempt to teach either practical programming skills or a fully rigorous approach to types. Instead, it demonstrates the most beautiful aspects as simply as possible, one step at a time.


Byzantine Coins and Their Values

Byzantine Coins and Their Values

Author: David Sear

Publisher: Spink Books

Published: 1987-12-31

Total Pages: 528

ISBN-13: 1912667398

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The Byzantine Empire lasted for almost a thousand years after the fall of the Roman Empire in the West. The period covered by this catalogue is from the reign of Anastasius I (491518) until the capture of Constantinople by the Turks in 1453. When this catalogue was first published in 1974 it was hailed as containing more information in a concise form than any other single volume on the Byzantine series.


Advances in Engineering Data Handling

Advances in Engineering Data Handling

Author: P.C.C. Wang

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 304

ISBN-13: 1461328179

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To understand what we know and be aware of what is to be known has become the central focus in the treatment of engineering data handling issues. It has been some time since we began treating issues arriving from engineering data handling in a low key fashion because of its housekeeping chores and data maintenance aspects representing nonglamorous issues related to automation. Since the advent of CAD/CAM, large numbers of data bases have been generated through stand alone CAD systems and the rate of this automated means of generating data is rapidly increasing. This possibly is the key factor in changing our way of looking at engineering data related problems. This volume contains some of the papers, including revisions, which were presented at the fourth Automation Technology conference held in Monterey, California. This volume represents ATI's efforts to bring forth some of the important case studies related to engineering data handling from the user's point of view. Because of its potential enormous impact on management and productivity advancement, careful documentation and coordination for outstanding contributions to this area are of utmost importance. This volume may serve as a precursor to additional volumes in the area of engineering data handling and CAD/CAM related user studies. Anyone with comments or suggestions, as well as potential contributors, to this series, is encouraged to contact the editorial board of AT!.


Diagram Geometry

Diagram Geometry

Author: Francis Buekenhout

Publisher: Springer Science & Business Media

Published: 2013-01-26

Total Pages: 597

ISBN-13: 3642344534

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This book provides a self-contained introduction to diagram geometry. Tight connections with group theory are shown. It treats thin geometries (related to Coxeter groups) and thick buildings from a diagrammatic perspective. Projective and affine geometry are main examples. Polar geometry is motivated by polarities on diagram geometries and the complete classification of those polar geometries whose projective planes are Desarguesian is given. It differs from Tits' comprehensive treatment in that it uses Veldkamp's embeddings. The book intends to be a basic reference for those who study diagram geometry. Group theorists will find examples of the use of diagram geometry. Light on matroid theory is shed from the point of view of geometry with linear diagrams. Those interested in Coxeter groups and those interested in buildings will find brief but self-contained introductions into these topics from the diagrammatic perspective. Graph theorists will find many highly regular graphs. The text is written so graduate students will be able to follow the arguments without needing recourse to further literature. A strong point of the book is the density of examples.