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Showing 1 to 7 of 7 for “"Mathematical definitions"”.
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Relationship Between Students' Proof Schemes and Definitions
… understanding relates to their conceptions of mathematical definitions. Three students in an introductory proofs course were each interviewed three times in order to assess their proof schemes, understand how they think of specific mathematical concepts, and investigate how the students prove …
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A Study of Concept Images and Concept Definitions related to Metric Spaces
… explores some of the attitudes of students to mathematical definitions, and their understanding of the role definitions play in mathematics. A set of questions was designed in order to gain insight into students’ understanding of the concept of open set, and their opinions on mathematical …
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Analysis of parametric model signal processing techniques for signature analysis
… that have lead to these techniques are reviewed. Mathematical definitions for parametric models are provided in terms of time-domain stochastic difference equations as well as in terms of frequency-domain rational transfer functions. Computer programs are developed for implementation of each of …
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Philosophical aspects of chaos: definitions in mathematics, unpredictability, and the observational equivalence of deterministic and indeterministic descriptions
… aspects of chaos research, a famous recent mathematical area of research about deterministic yet unpredictable and irregular, or even random behaviour. It consists of three parts. First, as a basis for the dissertation, I examine notions of unpredictability in ergodic theory, and I ask what …
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Efficient numerical algorithms for surface formulations of mathematical models for biomolecule analysis and design
… accurate discretization of the most prevalent mathematical definitions of the biomolecule-solvent interface; also presented are a number of accurate techniques for numerically integrating possibly singular functions over the discretized surfaces. Such techniques are essential for solving …
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A study of the constitution of Grade 8 mathematics within the context of the Revised National Curriculum Statement in five Western Cape schools
… were drawn on to describe and analyse the mathematical activity in the five schools as well as serving as a means for generating analytical resources for describing the constitution of mathematics. In my analysis I present an account of the computational activity of teachers and their …
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The assessment and control of risk of collision.
… are thus open to individual interpretation, some mathematical definitions of risk of collision and close range situations are established. The analysis and testing of specific examples has proved that these methods work and are able to provide the mariners with a cammon language in resolving …