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ISVC
2007
Springer
14 years 2 months ago
Haptic Exploration of Mathematical Knots
We present a novel multi-modal haptic interface for sketching and exploring the structure and properties of mathematical knots. Our interface derives from the familiar pencil-and-p...
Hui Zhang 0006, Sidharth Thakur, Andrew J. Hanson
ICIP
2009
IEEE
13 years 6 months ago
Adaptive mathematical morphology: A unified representation theory
In 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, whi...
Nidhal Bouaynaya, Dan Schonfeld
MKM
2007
Springer
14 years 2 months ago
Formal Representation of Mathematics in a Dependently Typed Set Theory
Abstract. 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 ...
Feryal Fulya Horozal, Chad E. Brown
MLQ
1998
126views more  MLQ 1998»
13 years 8 months ago
Reverse Mathematics and Recursive Graph Theory
We examine a number of results of infinite combinatorics using the techniques of reverse mathematics. Our results are inspired by similar results in recursive combinatorics. Theor...
William I. Gasarch, Jeffry L. Hirst
TMC
2008
101views more  TMC 2008»
13 years 8 months ago
The Mathematical Theory of Dynamic Load Balancing in Cellular Networks
While many interesting dynamic load balancing schemes have been proposed for efficient use of limited bandwidth and to increase the capacity of congested or hot spots (or cells) in...
Ozan K. Tonguz, Evsen Yanmaz