Solving Non Standard Problems

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Methods of Solving Nonstandard Problems

Author : Ellina Grigorieva
Publisher : Birkhäuser
ISBN 13 : 3319198874
Total Pages : 349 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Methods of Solving Nonstandard Problems by : Ellina Grigorieva

Download or read book Methods of Solving Nonstandard Problems written by Ellina Grigorieva and published by Birkhäuser. This book was released on 2015-09-17 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.

Solving Non-Standard Problems

Author : Alexander Tetelbaum
Publisher : Alexander Tetelbaum
ISBN 13 :
Total Pages : 209 pages
Book Rating : 4./5 ( download)

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Book Synopsis Solving Non-Standard Problems by : Alexander Tetelbaum

Download or read book Solving Non-Standard Problems written by Alexander Tetelbaum and published by Alexander Tetelbaum. This book was released on 2024-05-09 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book will help master your problem-solving skills. It contains more than 200 Non-Standard-Problems (NSP), puzzles, and tests, which can be solved by using creative thinking instead of formulas or predefined steps. For most problems, you do not need to know any advanced mathematics or have any specialized knowledge. For a few of the problems that are about the chances of something happening, you might need some limited knowledge about probabilities, provided for your convenience in the Appendix. This book will help you develop and master your critical, “out of the box” thinking. Most problems are new, but some were inspired by well-known problems. The book includes jokes and funny tests that make it enjoyable to read not only for adults but for children as young as 10. It is written in a fashion that is easy to understand. Don’t give up quickly, but if you are out of ideas on how to solve particular problems, check out the solutions sections for comments and useful hints. As you work through the book, this will help you solve the next round of problems. Dr. Alexander Tetelbaum is a well-known scientist, inventor, educator, and entrepreneur, who has honed his own problem-solving skills over the years. Natalie Heroux is a well-known industry executive who has wide experience in applying NSP solving to real-life business problems.

Solving Non-Standard Very Hard Problems

Author : Alexander Tetelbaum
Publisher : Alexander Tetelbaum
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4./5 ( download)

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Book Synopsis Solving Non-Standard Very Hard Problems by : Alexander Tetelbaum

Download or read book Solving Non-Standard Very Hard Problems written by Alexander Tetelbaum and published by Alexander Tetelbaum. This book was released on 2024-05-05 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book will help master your problem-solving skills. It contains many very hard Non-Standard-Problems (NSP), which can be solved by using creative thinking instead of formulas or predefined steps. For most problems, you do not need to know any advanced mathematics or have any specialized knowledge. For a few of the problems that are about the chances of something happening, you might need some limited knowledge about probabilities, provided for your convenience in the Appendix. This book will help you develop and master your critical, “out of the box” thinking. Most problems are new, but some were inspired by well-known problems. The book also includes some easier problems, puzzles, and jokes to warm up; they also make it enjoyable to read not only for adults but for children as young as 10. It is written in a fashion that is easy to understand. This book concludes two previous books on mastering creative problem-solving skills: “Yes/No Puzzles and Games” and “Solving Non-Standard Problems”. Don’t give up quickly, but if you are out of ideas on how to solve particular problems, check out the solutions sections for comments and useful hints. As you work through the book, this will help you solve the next round of problems. Dr. Alexander Tetelbaum is a well-known scientist, inventor, educator, and entrepreneur, who has honed his own problem-solving skills over the years.

Solving Non-standard Packing Problems by Global Optimization and Heuristics

Author : Giorgio Fasano
Publisher : Springer
ISBN 13 : 3319050052
Total Pages : 147 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Solving Non-standard Packing Problems by Global Optimization and Heuristics by : Giorgio Fasano

Download or read book Solving Non-standard Packing Problems by Global Optimization and Heuristics written by Giorgio Fasano and published by Springer. This book was released on 2014-04-21 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book results from a long-term research effort aimed at tackling complex non-standard packing issues which arise in space engineering. The main research objective is to optimize cargo loading and arrangement, in compliance with a set of stringent rules. Complicated geometrical aspects are also taken into account, in addition to balancing conditions based on attitude control specifications. Chapter 1 introduces the class of non-standard packing problems studied. Chapter 2 gives a detailed explanation of a general model for the orthogonal packing of tetris-like items in a convex domain. A number of additional conditions are looked at in depth, including the prefixed orientation of subsets of items, the presence of unusable holes, separation planes and structural elements, relative distance bounds as well as static and dynamic balancing requirements. The relative feasibility sub-problem which is a special case that does not have an optimization criterion is discussed in Chapter 3. This setting can be exploited by introducing an ad hoc objective function, aimed at facilitating the finding of integer-feasible solutions. The third chapter also discusses the issue of tightening the general MIP model by introducing valid inequalities. A MIP-based heuristic approach is developed in Chapter 4, where the basic concept of abstract configuration is presented. Chapter 5 is devoted to experimental results relevant to a real-world application framework. Chapter 6 adopts both extensions of the general MIP model and non-linear formulations to tackle two further non-standard packing issues. The final Chapter 7 presents conclusions and provides insights regarding prospective developments (including non-standard scheduling aspects). Practitioners and researchers interested in advanced optimization model development and solution in the context of logistics, transportation systems, complex structures, manufacturing and electronics will find this book useful. The book can also be used in graduate courses on nonlinear - including global and mixed integer - optimization, as a valuable collection of practically meaningful object packing applications.

Mathematics as Problem Solving

Author : Alexander Soifer
Publisher : Springer Science & Business Media
ISBN 13 : 0387746463
Total Pages : 120 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Mathematics as Problem Solving by : Alexander Soifer

Download or read book Mathematics as Problem Solving written by Alexander Soifer and published by Springer Science & Business Media. This book was released on 2009-04-28 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Various elementary techniques for solving problems in algebra, geometry, and combinatorics are explored in this second edition of Mathematics as Problem Solving. Each new chapter builds on the previous one, allowing the reader to uncover new methods for using logic to solve problems. Topics are presented in self-contained chapters, with classical solutions as well as Soifer's own discoveries. With roughly 200 different problems, the reader is challenged to approach problems from different angles. Mathematics as Problem Solving is aimed at students from high school through undergraduate levels and beyond, educators, and the general reader interested in the methods of mathematical problem solving.

Solving Non-Standard Problems

Author : Natalie Heroux
Publisher :
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.6/5 (538 download)

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Book Synopsis Solving Non-Standard Problems by : Natalie Heroux

Download or read book Solving Non-Standard Problems written by Natalie Heroux and published by . This book was released on 2020-06-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book will help master your problem-solving skills. It contains more than 200 Non-Standard-Problems (NSP), puzzles, and tests, which can be solved by using creative thinking instead of formulas or predefined steps. For most problems, you do not need to know any advanced mathematics or have any specialized knowledge. For a few of the problems that are about the chances of something happening, you might need some limited knowledge about probabilities, provided for your convenience in the Appendix. This book will help you develop and master your critical, "out of the box" thinking. Most problems are new, but some were inspired by well-known problems. The book includes jokes and funny tests that make it enjoyable to read not only for adults but for children as young as 10. It is written in a fashion that is easy to understand. Don't give up quickly, but if you are out of ideas on how to solve particular problems, check out the solutions sections for comments and useful hints. As you work through the book, this will help you solve the next round of problems.Dr. Alexander Tetelbaum is a well-known scientist, inventor, educator and entrepreneur, who has honed his own problem-solving skills over the years. Natalie Heroux is a well-known industry executive who has wide experience in applying NSP solving to real life business problems.We wish to express our gratitude to our friends Dr. Theodore Bickart and Lauren Bickart for their constructive inputs.

Nonstandard Analysis for the Working Mathematician

Author : Peter A. Loeb
Publisher : Springer
ISBN 13 : 9401773270
Total Pages : 485 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Nonstandard Analysis for the Working Mathematician by : Peter A. Loeb

Download or read book Nonstandard Analysis for the Working Mathematician written by Peter A. Loeb and published by Springer. This book was released on 2015-08-26 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with a simple formulation accessible to all mathematicians, this second edition is designed to provide a thorough introduction to nonstandard analysis. Nonstandard analysis is now a well-developed, powerful instrument for solving open problems in almost all disciplines of mathematics; it is often used as a ‘secret weapon’ by those who know the technique. This book illuminates the subject with some of the most striking applications in analysis, topology, functional analysis, probability and stochastic analysis, as well as applications in economics and combinatorial number theory. The first chapter is designed to facilitate the beginner in learning this technique by starting with calculus and basic real analysis. The second chapter provides the reader with the most important tools of nonstandard analysis: the transfer principle, Keisler’s internal definition principle, the spill-over principle, and saturation. The remaining chapters of the book study different fields for applications; each begins with a gentle introduction before then exploring solutions to open problems. All chapters within this second edition have been reworked and updated, with several completely new chapters on compactifications and number theory. Nonstandard Analysis for the Working Mathematician will be accessible to both experts and non-experts, and will ultimately provide many new and helpful insights into the enterprise of mathematics.

Introduction to the Mathematics of Operations Research with Mathematica®

Author : Kevin J. Hastings
Publisher : CRC Press
ISBN 13 : 142001739X
Total Pages : 588 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to the Mathematics of Operations Research with Mathematica® by : Kevin J. Hastings

Download or read book Introduction to the Mathematics of Operations Research with Mathematica® written by Kevin J. Hastings and published by CRC Press. This book was released on 2018-10-24 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

Non-Standard Inferences in Description Logics

Author : Ralf Küsters
Publisher : Springer
ISBN 13 : 3540446133
Total Pages : 256 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Non-Standard Inferences in Description Logics by : Ralf Küsters

Download or read book Non-Standard Inferences in Description Logics written by Ralf Küsters and published by Springer. This book was released on 2003-05-15 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Description logics (DLs) are used to represent structured knowledge. Inference services testing consistency of knowledge bases and computing subconcept/superconcept hierarchies are the main feature of DL systems. Intensive research during the last fifteen years has led to highly optimized systems that allow to reason about knowledge bases efficiently. However, applications often require additional non-standard inferences to support both the construction and the maintenance of knowledge bases, thus making the inference procedures again incomplete. This book, which is a revised version of the author's PhD thesis, constitutes a significant step to fill this gap by providing an excellent formal foundation of the most prominent non-standard inferences. The descriptions given include precise definitions, complete algorithms and thorough complexity analysis. With its solid foundation, the book also serves as a basis for future research.

Problem-Solving Strategies

Author : Arthur Engel
Publisher : Springer Science & Business Media
ISBN 13 : 0387226419
Total Pages : 404 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Problem-Solving Strategies by : Arthur Engel

Download or read book Problem-Solving Strategies written by Arthur Engel and published by Springer Science & Business Media. This book was released on 2008-01-19 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unique collection of competition problems from over twenty major national and international mathematical competitions for high school students. Written for trainers and participants of contests of all levels up to the highest level, this will appeal to high school teachers conducting a mathematics club who need a range of simple to complex problems and to those instructors wishing to pose a "problem of the week", thus bringing a creative atmosphere into the classrooms. Equally, this is a must-have for individuals interested in solving difficult and challenging problems. Each chapter starts with typical examples illustrating the central concepts and is followed by a number of carefully selected problems and their solutions. Most of the solutions are complete, but some merely point to the road leading to the final solution. In addition to being a valuable resource of mathematical problems and solution strategies, this is the most complete training book on the market.

TRIZ. Theory of Inventive Problem Solving

Author : Vladimir Petrov
Publisher : Springer
ISBN 13 : 3030042545
Total Pages : 221 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis TRIZ. Theory of Inventive Problem Solving by : Vladimir Petrov

Download or read book TRIZ. Theory of Inventive Problem Solving written by Vladimir Petrov and published by Springer. This book was released on 2019-04-01 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory book describes the initial (first) level of studying the theory of inventive problem solving (TRIZ) from the series “TRIZ from A to Z,” and presents the most general methods for solving inventive problems and generating new ideas. Chapter 1 examines traditional technologies for problem solving, based on trial and error. Chapter 2 describes the general concept of TRIZ, while Chapter 3 explains the main notions of “system” approaches, like system thinking, system and its hierarchy, system effect, emergency, synergetic effect and systematicity. In turn, Chapter 4 describes the notion of “ideality” and Chapter 5 addresses the notion of resources, their types, and methods for using them. Chapter 6 acquaints readers with one of the most important aspects of TRIZ: contradiction. Chapter 7 describes the inventive principles, while Chapter 8 includes descriptions of the systems of trends proposed by G. Altshuller and the author. In closing, the author makes recommendations on how to most effectively use TRIZ tools, on how readers can improve their knowledge, skills and habits concerning the use of TRIZ, and on how they can hone their inventive thinking skills. The book also features Appendices that include analyses of selected problems, a list of the main websites related to TRIZ, and lists of examples, problems, illustrations, tables and formulae.

Mathematics Education

Author :
Publisher : World Scientific
ISBN 13 : 9812833765
Total Pages : 562 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Mathematics Education by :

Download or read book Mathematics Education written by and published by World Scientific. This book was released on 2009 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Engineering Technology, Engineering Education and Engineering Management

Author : Deyao Tan
Publisher : CRC Press
ISBN 13 : 1315683156
Total Pages : 1213 pages
Book Rating : 4.3/5 (156 download)

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Book Synopsis Engineering Technology, Engineering Education and Engineering Management by : Deyao Tan

Download or read book Engineering Technology, Engineering Education and Engineering Management written by Deyao Tan and published by CRC Press. This book was released on 2015-06-25 with total page 1213 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains papers presented at the International Conference on Engineering Technologies, Engineering Education and Engineering Management (ETEEEM 2014, Hong Kong, 15-16 November 2014). A wide variety of topics is included in the book: - Engineering Education - Education Engineering and Technology - Methods and Learning Mechanism

Innovation. Business. TRIZ.

Author : Vladimir Petrov
Publisher : Springer Nature
ISBN 13 : 3031590163
Total Pages : 311 pages
Book Rating : 4.0/5 (315 download)

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Book Synopsis Innovation. Business. TRIZ. by : Vladimir Petrov

Download or read book Innovation. Business. TRIZ. written by Vladimir Petrov and published by Springer Nature. This book was released on 2024 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book efficiently and effectively solves complex business problems using the theory of inventive problem-solving tools (TRIZ). With 200+ examples and 100+ tasks (including 30 for independent study), it equips readers to address real-world challenges and develop essential skills. Aimed at individuals responsible for solving business problems, it provides expert guidance and specialized TRIZ tools for practical success.

Mathematical Problem Solving

Author : Peter Liljedahl
Publisher : Springer
ISBN 13 : 3030104729
Total Pages : 362 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Mathematical Problem Solving by : Peter Liljedahl

Download or read book Mathematical Problem Solving written by Peter Liljedahl and published by Springer. This book was released on 2019-02-12 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contributes to the field of mathematical problem solving by exploring current themes, trends and research perspectives. It does so by addressing five broad and related dimensions: problem solving heuristics, problem solving and technology, inquiry and problem posing in mathematics education, assessment of and through problem solving, and the problem solving environment. Mathematical problem solving has long been recognized as an important aspect of mathematics, teaching mathematics, and learning mathematics. It has influenced mathematics curricula around the world, with calls for the teaching of problem solving as well as the teaching of mathematics through problem solving. And as such, it has been of interest to mathematics education researchers for as long as the field has existed. Research in this area has generally aimed at understanding and relating the processes involved in solving problems to students’ development of mathematical knowledge and problem solving skills. The accumulated knowledge and field developments have included conceptual frameworks for characterizing learners’ success in problem solving activities, cognitive, metacognitive, social and affective analysis, curriculum proposals, and ways to promote problem solving approaches.

Mobility for Smart Cities and Regional Development - Challenges for Higher Education

Author : Michael E. Auer
Publisher : Springer Nature
ISBN 13 : 3030939073
Total Pages : 1151 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mobility for Smart Cities and Regional Development - Challenges for Higher Education by : Michael E. Auer

Download or read book Mobility for Smart Cities and Regional Development - Challenges for Higher Education written by Michael E. Auer and published by Springer Nature. This book was released on 2022-01-28 with total page 1151 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent research on interactive collaborative learning. We are currently witnessing a significant transformation in the development of education and especially post-secondary education. To face these challenges, higher education has to find innovative ways to quickly respond to these new needs. On the one hand, there is a pressure by the new situation in regard to the COVID pandemic. On the other hand, the methods and organizational forms of teaching and learning at higher educational institutions have changed rapidly in recent months. Scientifically based statements as well as excellent experiences (best practice) are absolutely necessary. These were the aims connected with the 24th International Conference on Interactive Collaborative Learning (ICL2021), which was held online by Technische Universität Dresden, Germany, on 22–24 September 2021. Since its beginning in 1998, this conference is devoted to new approaches in learning with a focus on collaborative learning in Higher Education. Nowadays, the ICL conferences are a forum of the exchange of relevant trends and research results as well as the presentation of practical experiences in Learning and Engineering Pedagogy. In this way, we try to bridge the gap between ‘pure’ scientific research and the everyday work of educators. This book contains papers in the fields of Teaching Best Practices Research in Engineering Pedagogy Engineering Pedagogy Education Entrepreneurship in Engineering Education Project-Based Learning Virtual and Augmented Learning Immersive Learning in Healthcare and Medical Education. Interested readership includes policymakers, academics, educators, researchers in pedagogy and learning theory, schoolteachers, learning industry, further and continuing education lecturers, etc

Mathematical Problem Solving and New Information Technologies

Author : Joao P. Ponte
Publisher : Springer Science & Business Media
ISBN 13 : 9783540557357
Total Pages : 380 pages
Book Rating : 4.5/5 (573 download)

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Book Synopsis Mathematical Problem Solving and New Information Technologies by : Joao P. Ponte

Download or read book Mathematical Problem Solving and New Information Technologies written by Joao P. Ponte and published by Springer Science & Business Media. This book was released on 1992-08-11 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A strong and fluent competency in mathematics is a necessary condition for scientific, technological and economic progress. However, it is widely recognized that problem solving, reasoning, and thinking processes are critical areas in which students' performance lags far behind what should be expected and desired. Mathematics is indeed an important subject, but is also important to be able to use it in extra-mathematical contexts. Thinking strictly in terms of mathematics or thinking in terms of its relations with the real world involve quite different processes and issues. This book includes the revised papers presented at the NATO ARW "Information Technology and Mathematical Problem Solving Research", held in April 1991, in Viana do Castelo, Portugal, which focused on the implications of computerized learning environments and cognitive psychology research for these mathematical activities. In recent years, several committees, professional associations, and distinguished individuals throughout the world have put forward proposals to renew mathematics curricula, all emphasizing the importance of problem solving. In order to be successful, these reforming intentions require a theory-driven research base. But mathematics problem solving may be considered a "chaotic field" in which progress has been quite slow.