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ISSAC
1993
Springer
119views Mathematics» more  ISSAC 1993»
14 years 22 days ago
Finding all Hypergeometric Solutions of Linear Differential Equations
Hypergeometric sequences are such that the quotient of two successive terms is a fixed rational function of the index. We give a generalization of M. Petkov6ek’s algorithm to fi...
Marko Petkovsek, Bruno Salvy
CORR
2008
Springer
113views Education» more  CORR 2008»
13 years 8 months ago
A Functional Hitchhiker's Guide to Hereditarily Finite Sets, Ackermann Encodings and Pairing Functions
The paper is organized as a self-contained literate Haskell program that implements elements of an executable finite set theory with focus on combinatorial generation and arithmet...
Paul Tarau
PPDP
2009
Springer
14 years 3 months ago
Set functions for functional logic programming
We propose a novel approach to encapsulate non-deterministic computations in functional logic programs. Our approach is based on set functions that return the set of all the resul...
Sergio Antoy, Michael Hanus
WAIFI
2007
Springer
122views Mathematics» more  WAIFI 2007»
14 years 2 months ago
The Simplest Method for Constructing APN Polynomials EA-Inequivalent to Power Functions
The first APN polynomials EA-inequivalent to power functions have been constructed in [7, 8] by applying CCZ-equivalence to the Gold APN functions. It is a natural question wheth...
Lilya Budaghyan
ISIPTA
1999
IEEE
169views Mathematics» more  ISIPTA 1999»
14 years 28 days ago
Dempster-Belief Functions Are Based on the Principle of Complete Ignorance
This paper shows that a "principle of complete ignorance" plays a central role in decisions based on Dempster belief functions. Such belief functions occur when, in a fi...
Peter P. Wakker