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Formal Representation of Mathematics in a Dependently Typed Set Theory
We have formalized material from an introductory real analysis textbook in the proof assistant Scunak. Scunak is a system based on set theory encoded in a dependent type theory. We use the formalized material to illustrate some interesting aspects of the relationship between informal presentations of mathematics and their formal representation.
Feryal Fulya Horozal, Chad E. Brown
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REPRESENTATION THEORY OF ARTIN ALGEBRAS (Cambridge Studies in Advanced Mathematics 36) By Maurice Auslander, Idun Reiten and Sverre O. Smalø: 423 pp., £50.00, ISBN 0 521 41134 3 (Cambridge University Press, 1995). [PDF]
P. Webb
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SCHUR ALGEBRAS AND REPRESENTATION THEORY (Cambridge Tracts in Mathematics 112)
Bulletin of the London Mathematical Society, 1996J. Green
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Mathematical Representations of Development Theories [PDF]
In this chapter we explore the consequences of particular stage linkage structures for the evolution of a population. We first argue the importance of constructing dynamic models of development theories and show the implications of various stage connections for population movements.
Burton H. Singer, Seymour Spilerman
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Determining the level of cognitive demand in school tasks is a significant challenge, marked by the lack of consensus among evaluators when assigning cognitive complexity in different areas of knowledge. In view of this problem, we propose a methodology based on the Theory of Registers of Semiotic Representation to guide the assignment of cognitive ...
Eduardo Puraivan+6 more
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Complex Semisimple Quantum Groups and Representation Theory
Lecture notes in mathematics, 2017This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups.
Christian Voigt, R. Yuncken
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Adaptive mathematical morphology: A unified representation theory
2009 16th IEEE International Conference on Image Processing (ICIP), 2009In this paper, we present a general theory of adaptive mathematical morphology (AMM) in the Euclidean space. The proposed theory preserves the notion of a structuring element, which is crucial in the design of geometrical signal and image processing applications.
Nidhal Bouaynaya, Dan Schonfeld
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HARMONIC MAPS AND MINIMAL IMMERSIONS THROUGH REPRESENTATION THEORY (Perspectives in Mathematics 12)
Paul Baird
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Knowledge representation for mathematical discovery: Three experiments in graph theory
Applied Intelligence, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
N. S. Sridharan, Susan L. Epstein
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