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Geometric reasoning with quantitative physical models
Systems and Computers in Japan, 1994AbstractThis paper proposes a method of reasoning and of planning space and motion based on quantitative physical models.First, the particle‐collection representation (PCR) is proposed as a method of representing objects, and the robust simulation method of rigid‐body dynamics using PCR is discussed.Next, as a system which reasons and plans dynamic ...
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A Framework for Reasoning on Objects with Geometric Constraints
2002This paper presents a framework for terminological reasoning by taking into account geometric representation of objects. We consider objects having shapes which are described by means of semi-algebraic sets1. We show how geometric representations can be used to define concepts. The formal semantics as well as the reasoning algorithms are given.
Hicham Hajji, Evimaria Terzi
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Relations Between Geometric Proof Justification and Probabilistic Reasoning
Learning and Individual Differences, 2022David Braithwaite
exaly
Geometric reasoning for geometric modeling
Aircraft Design Systems and Operations Meeting, 1985F. ARBAB, J. WING
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Planar geometric reasoning with the theory of hints
1991Consider a certain number of objects in the plane. It is supposed that we dispose of vague information concerning the location of some objects with respect to some other objects. In view of this information, the problem to be addressed is how to draw conclusions about the position of a particular object s with respect to another object r. An adaptation
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Enhancing geometric reasoning.
Adolescence, 2001Geometry is an important part of the mathematics curriculum. However, students are not demonstrating strong conceptual knowledge of this subject. The research of Van Hiele and Van Hiele-Geldof has focused on the concept of thinking levels in geometry and the role of instruction in raising levels of thinking.
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Automated Geometric Reasoning with Geometric Algebra
Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation, 2017openaire +2 more sources