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Diagrammatic Representation and Reasoning / edited by Michael Anderson, Bernd Meyer, Patrick Olivier

1st ed. 2002.
出版者 (London : Springer London : Imprint: Springer)
出版年 2002
大きさ XVI, 584 p. 64 illus : online resource
著者標目 Anderson, Michael editor
Meyer, Bernd editor
Olivier, Patrick editor
SpringerLink (Online service)
件 名 LCSH:Mathematics
LCSH:Artificial intelligence
LCSH:Logic
FREE:Applications of Mathematics
FREE:Artificial Intelligence
FREE:Logic
一般注記 I. Views of Diagrams -- 1. Diagrams in the Mind? -- 2. Knowing About Diagrams -- 3. A Meta-Taxonomy for Diagram Research -- 4. Sketches as Mental Reifications of Theoretical Scientific treatment -- 5. The Fundamental Design Variables of Diagramming -- II. Cognitive Aspects of Diagrams -- 6. Psychological Perspectives on Diagrams and their Users. -- 7. Combining Semantic and Cognitive Accounts of Diagrams -- 8. Tactile Maps and a Test of the Conjoint Retention Hypothesis -- 9. Spatial Abilities in Problem Solving in Kinematics -- 10. Graph Comprehension: The Role of Format, Content and Individual Differences -- 11. Graphs in Print -- 12. The Role of Representation and Working Memory in Diagrammatic Reasoning and Decision Making -- 13. Mechanical Reasoning about Gear-and-belt Diagrams. Do Eye-movements Predict Performance? -- 14. How do Designers Shift their Focus of Attention in their Own Sketches? -- III. Formal Aspects of Diagrammatic Reasoning -- 15. Diagrammatic Evaluation of Visual Mathematical Notations -- 16. A Topological Framework for Modelling Diagrammatic Reasoning Tasks -- 17. Multiple Readings of Peirce’s Alpha Graphs -- 18. On Automating Diagrammatic Proofs of Arithmetic Arguments -- 19. On the Practical Semantics of Mathematical Diagrams -- 20. EnE Sentences and Local Extent in Diagrams -- 21. Implementing Euler/Venn Reasoning Systems -- 22. Visual Spatial Query Languages: A Semantics Using Description Logic -- IV. Applications of Diagrammatic Reasoning -- 23. Intelligent Diagrammatic Interfaces: State of the Art -- 24. Towards Diagram Processing: A Diagrammatic Information System -- 25. Using Diagrams to Understand Diagrams: A Case-Based Approach to Diagrammatic Reasoning -- 26. Interpreting the Engineer’s Sketch: A Picture is Worth a Thousand Constraints -- 27. Diagramming Research Designs -- 28. How to Build a (Quite General) Linguistic Diagram Editor -- 29. AVOW Diagrams: A Novel Representational System for Understanding Electricity -- 30. AsbruView: Capturing Complex, Time-Oriented Plans - Beyond Flow Charts -- 31. Acting with Diagrams: How to Plan Strategies in Two Case Studies -- 32. Specifying Diagram Languages by Means of Hypergraph Grammars
Diagrams are essential in most fields of human activity. There is substan­ tial interest in diagrams and their use in many academic disciplines for the potential benefits they may confer on a wide range of tasks. Are we now in a position to claim that we have a science of diagrams-that is, a science which takes the nature of diagrams and their use as the central phenom­ ena of interest? If we have a science of diagrams it is certainly constituted from multiple disciplines, including cognitive science, psychology, artificial intelligence, logic, mathematics, and others. If there is a science of diagrams, then like other sciences there is an appli­ cations, or engineering, discipline that exists alongside the science. Applica­ tions and engineering provide tests of the theories and principles discovered by the science and extend the scope of the phenomena to be studied by gen­ erating new uses of diagrams, new media for presenting diagrams, or novel classes of diagram. This applications and engineering side of the science of di­ agrams also comprises multiple disciplines, including education, architecture, computer science, mathematics, human-computer interaction, knowledge ac­ quisition, graphic design, engineering, history of science, statistics, medicine, biology, and others
HTTP:URL=https://doi.org/10.1007/978-1-4471-0109-3
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ISBN 9781447101093

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