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Iterate

Iterate
Author: John Sharp
Publisher: MIT Press
Total Pages: 315
Release: 2024-04-09
Genre: Design
ISBN: 0262551802

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How to confront, embrace, and learn from the unavoidable failures of creative practice; with case studies that range from winemaking to animation. Failure is an inevitable part of any creative practice. As game designers, John Sharp and Colleen Macklin have grappled with crises of creativity, false starts, and bad outcomes. Their tool for coping with the many varieties of failure: iteration, the cyclical process of conceptualizing, prototyping, testing, and evaluating. Sharp and Macklin have found that failure—often hidden, covered up, a source of embarrassment—is the secret ingredient of iterative creative process. In Iterate, they explain how to fail better. After laying out the four components of creative practice—intention, outcome, process, and evaluation—Sharp and Macklin describe iterative methods from a wide variety of fields. They show, for example, how Radiolab cohosts Jad Abumrad and Robert Krulwich experiment with radio as a storytelling medium; how professional skateboarder Amelia Bródka develops skateboarding tricks through trial and error; and how artistic polymath Miranda July explores human frailty through a variety of media and techniques. Whimsical illustrations tell parallel stories of iteration, as hard-working cartoon figures bake cupcakes, experiment with levitating office chairs, and think outside the box in toothbrush design (“let's add propellers!”). All, in their various ways, use iteration to transform failure into creative outcomes. With Iterate, Sharp and Macklin offer useful lessons for anyone interested in the creative process. Case Studies: Allison Tauziet, winemaker; Matthew Maloney, animator; Jad Abumrad and Robert Krulwich, Radiolab cohosts; Wylie Dufresne, chef; Nathalie Pozzi, architect, and Eric Zimmerman, game designer; Andy Milne, jazz musician; Amelia Bródka, skateboarder; Baratunde Thurston, comedian; Cas Holman, toy designer; Miranda July, writer and filmmaker


Iterate

Iterate
Author: Justin Reich
Publisher: John Wiley & Sons
Total Pages: 311
Release: 2023-09-20
Genre: Education
ISBN: 1119913500

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Innovate and implement new, effective ways of teaching in your school In Iterate: The Secret to Innovation in Schools, veteran educator, MIT professor, and incorrigible innovator Justin Reich delivers an insightful bridge between contemporary educational research and classroom teaching, showing you how to leverage the cycle of experiment and experience to create a compelling and engaging learning environment. In the book, you'll learn how to employ a process of continuous improvement and tinkering to develop exciting new programs, activities, processes, and designs. The author draws on over two decades of experience with educators, education researchers, and school leaders to explain how to apply the latest advances in the academic literature to your school, classroom, or online/hybrid course. You'll also find: Complimentary access to two popular courses archived at the MIT Open Learning Library: Launching Innovation in Schools and Design Thinking for Leading and Learning Insights grounded in extensive scholarly experience in design and innovation from Prof. Reich and the MIT Teaching Systems Lab Strategies for combining the most effective evidence-based teaching methods with the flexibility and creativity displayed by schools during the COVID-19 pandemic An invaluable strategic playbook for innovative teaching, Iterate: The Secret to Innovation in Schools is perfect for PK-12 school and district leaders, teacher leaders, and educators.


Iterate

Iterate
Author: Ed Muzio
Publisher: Greenleaf Book Group
Total Pages: 269
Release: 2018-10-09
Genre: Business & Economics
ISBN: 0999191322

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Iterative Management Is Nimble Management ​This book is a guide to the iterative organization, the only kind of organization that can learn and adapt fast enough to keep up in today’s world. For anyone running a team of managers, or advising someone who does, it describes the fundamental behaviors that create iteration, explains how to implement them, and includes videos and online assessment to get the process started. Iterate defines what management really is and helps readers create a fast, flexible, focused management team that does it well. Ed Muzio, award-winning author, CEO, and “one of the planet’s clearest thinkers on management practice,” provides a research-based blueprint for a management team that will take the next best step for the organization in any situation. This book enables senior leadership, front line and middle management, and human resource executives to equip their teams with both knowledge and practical skills so that they not only understand their own purpose but also perform that purpose well amidst ever-changing conditions. Iterate will help readers create measurable business results on any management team, of any size, in any industry where complex work and frequent change are the norm.


Iteration Theory - Proceedings Of The European Conference

Iteration Theory - Proceedings Of The European Conference
Author: W Forg-rob
Publisher: World Scientific
Total Pages: 298
Release: 1996-07-03
Genre:
ISBN: 9814547891

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Iteration theory has its roots in the operation of substituting functions into itself. This has led to questions like that of the behaviour of functions by repeating this substitution and when the number of iterations tends to infinity. The terms 'orbit' and 'chaos' appropriately describe this behaviour. Dynamical systems and the theory of functional equations play important roles in this field.


The Theory and Applications of Iteration Methods

The Theory and Applications of Iteration Methods
Author: Ioannis K. Argyros
Publisher: CRC Press
Total Pages: 356
Release: 2022-01-21
Genre: Mathematics
ISBN: 1000536777

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The theory and applications of Iteration Methods is a very fast-developing field of numerical analysis and computer methods. The second edition is completely updated and continues to present the state-of-the-art contemporary theory of iteration methods with practical applications, exercises, case studies, and examples of where and how they can be used. The Theory and Applications of Iteration Methods, Second Edition includes newly developed iteration methods taking advantage of the most recent technology (computers, robots, machines). It extends the applicability of well-established methods by increasing the convergence domain and offers sharper error tolerance. New proofs and ideas for handling convergence are introduced along with a new variety of story problems picked from diverse disciplines. This new edition is for researchers, practitioners, and students in engineering, economics, and computational sciences.


Polynomial Based Iteration Methods for Symmetric Linear Systems

Polynomial Based Iteration Methods for Symmetric Linear Systems
Author: Bernd Fischer
Publisher: SIAM
Total Pages: 284
Release: 2011-07-28
Genre: Mathematics
ISBN: 1611971918

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Originally published: Chichester; New York: Wiley; Stuttgart: Teubner, c1996.


Iteration

Iteration
Author: Jonathan Choate
Publisher:
Total Pages: 0
Release: 1999
Genre: Iterative methods (Mathematics)
ISBN: 9781559533546

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Iteration: A Tool Kit of Dynamics Activities "Iteration" is a time-honored process in mathematics, but recent technology allows us to look at iteration with a fresh eye. Share the astounding discoveries scientists and mathematicians have made in recent years and how those discoveries are used in many different areas of study. The book can be used in many mathematics courses, but is especially suited to an algebra class. Grades 7-12


Aggregating clones, colors, equations, iterates, numbers, and tiles

Aggregating clones, colors, equations, iterates, numbers, and tiles
Author: Janos Aczel
Publisher: Birkhäuser
Total Pages: 218
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034890966

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The journal aequationes mathematicae publishes papers in pure and applied mathematics and, in particular, articles on functional equations, combinatorics and dynamical systems. Its 50th volume appears in 1995. To mark this occasion, we are publishing in book form a repre sentative collection of outstanding survey papers assembled for our anniversary issue of aequationes mathematicae. The articles by Quackenbush, Targonski and Moszner discuss composition of functions from different points of view: universal algebra, dynamical systems (iteration) and functional equa tions. The Ono-Robbins-Wahl and the Vince papers, on number theory and tiles, respectively, are thematically linked by lattices. Combinatorics, in turn, links the Vince paper with that of Tutte, whose subject is chromatic sums, its tools differential and functional equations. The Paganoni-Ratz and the Forti papers deal with conditional functional equations and with the related topic of stability. Applications to the social and behavioral sciences, in particular to aggregation (and some theory) are presented in the paper by J. Aczel. The aim of the collection is to survey selected fields of current interest. We trust that it will be useful and informative for researchers, teachers, graduate and advanced undergraduate stu dents of mathematics, and for those interested in applications in related fields. lanDs Aczel Aequationes Mathematicae 50 (1995) 1 0001-9054/95/020001-01 $1.50 + 0.20/0 University of Waterloo © 1995 Birkhiiuser Verlag, Basel Editorial Volume 50 of Aequationes Mathematicae This is the fiftieth volume of aequationes mathematicae. Not only our modesty but also lack of space keeps us from self-congratulation.


Regularization of Ill-Posed Problems by Iteration Methods

Regularization of Ill-Posed Problems by Iteration Methods
Author: S.F. Gilyazov
Publisher: Springer Science & Business Media
Total Pages: 348
Release: 2013-04-17
Genre: Mathematics
ISBN: 9401594821

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Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.