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» High-order functions and their ordering relations
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MSS
2008
IEEE
88views Hardware» more  MSS 2008»
14 years 9 months ago
Maximizing an interval order on compact subsets of its domain
Maximal elements of a binary relation on compact subsets of a metric space define a choice function. An infinite extension of transitivity is necessary and sufficient for such a c...
Nikolai S. Kukushkin
ICCS
2007
Springer
15 years 3 months ago
Constants and Functions in Peirce's Existential Graphs
The system of Peirce’s existential graphs is a diagrammatic version of first order logic. To be more precisely: As Peirce wanted to develop a logic of relatives (i.e., relations...
Frithjof Dau
LATIN
2010
Springer
15 years 4 months ago
Compact Rich-Functional Binary Relation Representations
Binary relations are an important abstraction arising in a number of data representation problems. Each existing data structure specializes in the few basic operations required by ...
Jérémy Barbay, Francisco Claude, Gon...
DCG
2002
71views more  DCG 2002»
14 years 9 months ago
A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron
The volume of the n-dimensional polytope nx := fy 2 Rn : yi 0 and y1 + + yi x1 + + xi for all 1 i ng for arbitrary x := x1; : : : ; xn with xi 0 for all i de nes a polyn...
Richard P. Stanley, Jim Pitman
ASPDAC
2009
ACM
164views Hardware» more  ASPDAC 2009»
15 years 4 months ago
Accounting for non-linear dependence using function driven component analysis
Majority of practical multivariate statistical analyses and optimizations model interdependence among random variables in terms of the linear correlation among them. Though linear...
Lerong Cheng, Puneet Gupta, Lei He