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TitleDiagrammatic Representation and Reasoning [electronic resource] / edited by Michael Anderson, Bernd Meyer, Patrick Olivier
ImprintLondon : Springer London : Imprint: Springer, 2002
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Descript XVI, 584 p. 64 illus. online resource


Diagrams are essential in most fields of human activity. There is substanยญ 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 phenomยญ 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 appliยญ cations, or engineering, discipline that exists alongside the science. Applicaยญ 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 genยญ erating new uses of diagrams, new media for presenting diagrams, or novel classes of diagram. This applications and engineering side of the science of diยญ agrams also comprises multiple disciplines, including education, architecture, computer science, mathematics, human-computer interaction, knowledge acยญ quisition, graphic design, engineering, history of science, statistics, medicine, biology, and others


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 Peirceโ{128}{153}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 Engineerโ{128}{153}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

Mathematics Logic Artificial intelligence Applied mathematics Engineering mathematics Mathematics Applications of Mathematics Artificial Intelligence (incl. Robotics) Logic


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