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» A Refined Difference Field Theory for Symbolic Summation
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CORR
2008
Springer
70views Education» more  CORR 2008»
13 years 11 months ago
A Refined Difference Field Theory for Symbolic Summation
In this article we present a refined summation theory based on Karr's difference field approach. The resulting algorithms find sum representations with optimal nested depth. ...
Carsten Schneider
AAECC
2010
Springer
99views Algorithms» more  AAECC 2010»
13 years 11 months ago
Structural theorems for symbolic summation
Abstract. Starting with Karr's structural theorem for summation --the discrete version of Liouville's structural theorem for integration-- we work out crucial properties ...
Carsten Schneider
DM
2006
84views more  DM 2006»
13 years 11 months ago
Indefinite summation with unspecified summands
We provide a new algorithm for indefinite nested summation which is applicable to summands involving unspecified sequences x(n). More than that, we show how to extend Karr's ...
Manuel Kauers, Carsten Schneider
SIGIR
2008
ACM
13 years 11 months ago
A unified and discriminative model for query refinement
This paper addresses the issue of query refinement, which involves reformulating ill-formed search queries in order to enhance relevance of search results. Query refinement typica...
Jiafeng Guo, Gu Xu, Hang Li, Xueqi Cheng
TRS
2008
13 years 11 months ago
The Neurophysiological Bases of Cognitive Computation Using Rough Set Theory
A popular view is that the brain works in a similar way to a digital computer or a Universal Turing Machine by processing symbols. Psychophysical experiments and our amazing capabi...
Andrzej W. Przybyszewski