Reasoning About Motion

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A Study of Qualitative and Geometric Knowledge in Reasoning about Motion. Revision

Author : Kenneth Dale Forbus
Publisher :
ISBN 13 :
Total Pages : 125 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis A Study of Qualitative and Geometric Knowledge in Reasoning about Motion. Revision by : Kenneth Dale Forbus

Download or read book A Study of Qualitative and Geometric Knowledge in Reasoning about Motion. Revision written by Kenneth Dale Forbus and published by . This book was released on 1981 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reasoning about motion is an important part of our commonsense knowledge, involving fluent spatial reasoning. This work studies the qualitative and geometric knowledge required to reason in a world that consists of balls moving through space constrained by collisions with surfaces, including dissipative forces and multiple moving objects. An analog geometry representation serves the program as a diagram, allowing many spatial questions to be answered by numeric calculation. It also provides the foundation for the construction and use of a place vocabulary, the symbolic descriptions of space required to do qualitative reasoning about motion in the domain. The actual motion of a ball is described as a network consisting of descriptions of qualitatively distinct types of motion. Implementing the elements of these networks in a constraint language allows the same elements to be used for both analysis and simulation motion. A qualitative description of the actual motion is also used to check the consistency of assumptions about motion. A process of qualitative simulation is used to describe the kinds of motion possible from some state. The ambiguity inherent in such a description can be reduced by assumptions about physical properties of the ball or assumptions about its motion. Each assumption directly rules out some kinds of motion, but other knowledge is required to determine the indirect consequences of making these assumptions.

Reasoning in Physics

Author : L. Viennot
Publisher : Springer Science & Business Media
ISBN 13 : 0306476363
Total Pages : 229 pages
Book Rating : 4.3/5 (64 download)

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Book Synopsis Reasoning in Physics by : L. Viennot

Download or read book Reasoning in Physics written by L. Viennot and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: For a meaningful understanding of physics, it is necessary to realise that this corpus of knowledge operates in a register different from natural thought. This book aims at situating the main trends of common reasoning in physics with respect to some essential aspects of accepted theory. It analyses a great many research results based on studies of pupils and students at various academic levels, involving a range of physical situations. It shows the impressive generality of the trends of common thought, as well as their resistance to teaching. The book's main focus is to underline to what extent natural thought is organised. As a result of this mapping out of trends of reasoning, some suggestions for teaching are presented; these have already influenced recent curricula in France. This book is intended for teachers and teacher trainers principally, but students can also benefit from it to improve their understanding of physics and of their own ways of reasoning.

Representing and Reasoning about Motion in a Two-dimensional World

Author : Wanlin Pang
Publisher :
ISBN 13 :
Total Pages : 126 pages
Book Rating : 4.:/5 (433 download)

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Book Synopsis Representing and Reasoning about Motion in a Two-dimensional World by : Wanlin Pang

Download or read book Representing and Reasoning about Motion in a Two-dimensional World written by Wanlin Pang and published by . This book was released on 1995 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Study of Qualitative and Geometric Knowledge in Reasoning about Motion

Author : Massachusetts Institute of Technology. Artificial Intelligence Laboratory
Publisher :
ISBN 13 :
Total Pages : 121 pages
Book Rating : 4.:/5 (734 download)

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Book Synopsis A Study of Qualitative and Geometric Knowledge in Reasoning about Motion by : Massachusetts Institute of Technology. Artificial Intelligence Laboratory

Download or read book A Study of Qualitative and Geometric Knowledge in Reasoning about Motion written by Massachusetts Institute of Technology. Artificial Intelligence Laboratory and published by . This book was released on 1981 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interpreting Motion

Author : Inderjeet Mani
Publisher : Oxford University Press
ISBN 13 : 0191632503
Total Pages : pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Interpreting Motion by : Inderjeet Mani

Download or read book Interpreting Motion written by Inderjeet Mani and published by Oxford University Press. This book was released on 2012-02-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Interpreting Motion presents an integrated perspective on how language structures constrain concepts of motion and how the world shapes the way motion is linguistically expressed. Natural language allows for efficient communication of elaborate descriptions of movement without requiring a precise specification of the motion. Interpreting Motion is the first book to analyze the semantics of motion expressions in terms of the formalisms of qualitative spatial reasoning. It shows how motion descriptions in language are mapped to trajectories of moving entities based on qualitative spatio-temporal relationships. The authors provide an extensive discussion of prior research on spatial prepositions and motion verbs, devoting chapters to the compositional semantics of motion sentences, the formal representations needed for computers to reason qualitatively about time, space, and motion, and the methodology for annotating corpora with linguistic information in order to train computer programs to reproduce the annotation. The applications they illustrate include route navigation, the mapping of travel narratives, question-answering, image and video tagging, and graphical rendering of scenes from textual descriptions. The book is written accessibly for a broad scientific audience of linguists, cognitive scientists, computer scientists, and those working in fields such as artificial intelligence and geographic information systems.

Spatial Reasoning and Planning

Author : Jiming Liu
Publisher : Springer Science & Business Media
ISBN 13 : 3642188796
Total Pages : 187 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Spatial Reasoning and Planning by : Jiming Liu

Download or read book Spatial Reasoning and Planning written by Jiming Liu and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spatial reasoning and planning is a core constituent in robotics, graphics, computer-aided design, and geographic information systems. After a review of previous work in the related areas, Liu and Daneshmend present a unified framework for qualitative spatial representation and reasoning. This paves the way for a generation of solutions to spatial problems where the geometric knowledge is imprecise. Many graphical illustrations and detailed algorithm descriptions help the reader to comprehend the solution paths and to develop their own applications. The book is written as a self-contained text for researchers and graduate students. The methodologies, algorithmic details, and case studies presented can be used as course material as well as a convenient reference.

Reasoning about Motion

Author : Tiffini Lynn Glaze
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (569 download)

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Book Synopsis Reasoning about Motion by : Tiffini Lynn Glaze

Download or read book Reasoning about Motion written by Tiffini Lynn Glaze and published by . This book was released on 2004 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several dance and industrial design students were given the opportunity to attend a non-traditional mathematics course. The nature of this course prompted student interaction and expected collaboration. My research focuses on one dance student, Sara, who did not consider herself a strong mathematics student, but who understood physical motion very well. This paper explores the evolution of Sara's representations for physical motion in a given task, and discusses her reasoning for keeping or dismissing various parts of her representations during the course of this task. I examine first how Sara learns mathematics with understanding in this task, and second how this class gave her the opportunity to learn significant mathematics by encouraging her to ask questions and reason about mathematics. The research presented in this paper shows that teaching mathematics can be successful if students are given the opportunity to investigate tasks designed to explore significant mathematics.

Eliciting and Understanding Commonsense Reasoning about Motion

Author : Nancy Wai Ying Law
Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.:/5 (56 download)

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Book Synopsis Eliciting and Understanding Commonsense Reasoning about Motion by : Nancy Wai Ying Law

Download or read book Eliciting and Understanding Commonsense Reasoning about Motion written by Nancy Wai Ying Law and published by . This book was released on 1990 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Reasoning with the Infinite

Author : Michel Blay
Publisher : University of Chicago Press
ISBN 13 : 9780226058351
Total Pages : 230 pages
Book Rating : 4.0/5 (583 download)

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Book Synopsis Reasoning with the Infinite by : Michel Blay

Download or read book Reasoning with the Infinite written by Michel Blay and published by University of Chicago Press. This book was released on 1998 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Until the Scientific Revolution, the nature and motions of heavenly objects were mysterious and unpredictable. The Scientific Revolution was revolutionary in part because it saw the advent of many mathematical tools—chief among them the calculus—that natural philosophers could use to explain and predict these cosmic motions. Michel Blay traces the origins of this mathematization of the world, from Galileo to Newton and Laplace, and considers the profound philosophical consequences of submitting the infinite to rational analysis. "One of Michael Blay's many fine achievements in Reasoning with the Infinite is to make us realize how velocity, and later instantaneous velocity, came to play a vital part in the development of a rigorous mathematical science of motion."—Margaret Wertheim, New Scientist

Enhancing spatial reasoning by the concept of motion

Author : Kai Zimmermann
Publisher :
ISBN 13 :
Total Pages : 8 pages
Book Rating : 4.:/5 (754 download)

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Book Synopsis Enhancing spatial reasoning by the concept of motion by : Kai Zimmermann

Download or read book Enhancing spatial reasoning by the concept of motion written by Kai Zimmermann and published by . This book was released on 1993 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Galileo and the Art of Reasoning

Author : M.A. Finocchiaro
Publisher : Springer Science & Business Media
ISBN 13 : 9400990170
Total Pages : 497 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Galileo and the Art of Reasoning by : M.A. Finocchiaro

Download or read book Galileo and the Art of Reasoning written by M.A. Finocchiaro and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Galileo has long been important not only as a foundation of modern physics but also as a model - and perhaps the paradigmatic model - of scientific method, and therefore as a leading example of scientific rationality. However, as we know, the matter is not so simple. The range of Galileo readings is so varied that one may be led to the conclusion that it is a case of chacun a son Galileo; that here, as with the Bible, or Plato or Kant or Freud or Finnegan's Wake, the texts themselves underdetermine just what moral is to be pointed. But if there is no canonical reading, how can the texts be taken as evidence or example of a canonical view of scientific rationality, as in Galileo? Or is it the case, instead, that we decide a priori what the norms of rationality are and then pick through texts to fmd those which satisfy these norms? Specifically, how and on what grounds are we to accept or reject scientific theories, or scientific reasoning? If we are to do this on the basis of historical analysis of how, in fact, theories came to be accepted or rejected, how shall we distinguish 'is' from 'ought'? What follows (if anything does) from such analysis or reconstruction about how theories ought to be accepted or rejected? Maurice Finocchiaro's study of Galileo brings an important and original approach to the question of scientific rationality by way of a systematic read

Understanding Physics Using Mathematical Reasoning

Author : Andrzej Sokolowski
Publisher : Springer Nature
ISBN 13 : 3030802051
Total Pages : 208 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Understanding Physics Using Mathematical Reasoning by : Andrzej Sokolowski

Download or read book Understanding Physics Using Mathematical Reasoning written by Andrzej Sokolowski and published by Springer Nature. This book was released on 2021-08-20 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book speaks about physics discoveries that intertwine mathematical reasoning, modeling, and scientific inquiry. It offers ways of bringing together the structural domain of mathematics and the content of physics in one coherent inquiry. Teaching and learning physics is challenging because students lack the skills to merge these learning paradigms. The purpose of this book is not only to improve access to the understanding of natural phenomena but also to inspire new ways of delivering and understanding the complex concepts of physics. To sustain physics education in college classrooms, authentic training that would help develop high school students’ skills of transcending function modeling techniques to reason scientifically is needed and this book aspires to offer such training The book draws on current research in developing students’ mathematical reasoning. It identifies areas for advancements and proposes a conceptual framework that is tested in several case studies designed using that framework. Modeling Newton’s laws using limited case analysis, Modeling projectile motion using parametric equations and Enabling covariational reasoning in Einstein formula for the photoelectric effect represent some of these case studies. A wealth of conclusions that accompany these case studies, drawn from the realities of classroom teaching, is to help physics teachers and researchers adopt these ideas in practice.

Notes on the Principles of Pure and Applied Calculation

Author : James Challis
Publisher :
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Notes on the Principles of Pure and Applied Calculation by : James Challis

Download or read book Notes on the Principles of Pure and Applied Calculation written by James Challis and published by . This book was released on 1869 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Understanding Object Motion: Recognition, Learning, and Spatiotemporal Reasoning

Author : Universität Hamburg. Fachbereich für Informatik
Publisher :
ISBN 13 :
Total Pages : 43 pages
Book Rating : 4.:/5 (475 download)

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Book Synopsis Understanding Object Motion: Recognition, Learning, and Spatiotemporal Reasoning by : Universität Hamburg. Fachbereich für Informatik

Download or read book Understanding Object Motion: Recognition, Learning, and Spatiotemporal Reasoning written by Universität Hamburg. Fachbereich für Informatik and published by . This book was released on 1990 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mind in Motion

Author : Barbara Tversky
Publisher : Basic Books
ISBN 13 : 0465093078
Total Pages : 384 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Mind in Motion by : Barbara Tversky

Download or read book Mind in Motion written by Barbara Tversky and published by Basic Books. This book was released on 2019-05-21 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: An eminent psychologist offers a major new theory of human cognition: movement, not language, is the foundation of thought When we try to think about how we think, we can't help but think of words. Indeed, some have called language the stuff of thought. But pictures are remembered far better than words, and describing faces, scenes, and events defies words. Anytime you take a shortcut or play chess or basketball or rearrange your furniture in your mind, you've done something remarkable: abstract thinking without words. In Mind in Motion, psychologist Barbara Tversky shows that spatial cognition isn't just a peripheral aspect of thought, but its very foundation, enabling us to draw meaning from our bodies and their actions in the world. Our actions in real space get turned into mental actions on thought, often spouting spontaneously from our bodies as gestures. Spatial thinking underlies creating and using maps, assembling furniture, devising football strategies, designing airports, understanding the flow of people, traffic, water, and ideas. Spatial thinking even underlies the structure and meaning of language: why we say we push ideas forward or tear them apart, why we're feeling up or have grown far apart. Like Thinking, Fast and Slow before it, Mind in Motion gives us a new way to think about how--and where--thinking takes place.

Image Understanding Workshop

Author :
Publisher :
ISBN 13 :
Total Pages : 624 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Image Understanding Workshop by :

Download or read book Image Understanding Workshop written by and published by . This book was released on 1987 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Isaac Newton's Scientific Method

Author : William L. Harper
Publisher : Oxford University Press
ISBN 13 : 019957040X
Total Pages : 443 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Isaac Newton's Scientific Method by : William L. Harper

Download or read book Isaac Newton's Scientific Method written by William L. Harper and published by Oxford University Press. This book was released on 2011-12-08 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Includes bibliographical references (p. [397]-410) and index.