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SYNASC
2007
IEEE
105views Algorithms» more  SYNASC 2007»
13 years 11 months ago
Decompositions of Natural Numbers: From a Case Study in Mathematical Theory Exploration
In this technical report we present the proofs of properties appearing when solving the problem of prime decomposition of natural numbers using a scheme-based systematic exploratio...
Adrian Craciun, Madalina Hodorog
SYNASC
2006
IEEE
64views Algorithms» more  SYNASC 2006»
13 years 10 months ago
Scheme-Based Systematic Exploration of Natural Numbers
In this paper, we report a case study of computer supported exploration of the theory of natural numbers, using a theory exploration model based on knowledge schemes, proposed by ...
Madalina Hodorog, Adrian Craciun
DCG
2006
78views more  DCG 2006»
13 years 4 months ago
A Geometric Study of the Split Decomposition
This paper sheds a new light on the split decomposition theory and T-theory from the viewpoint of convex analysis and polyhedral geometry. By regarding finite metrics as discrete ...
Hiroshi Hirai
WWW
2009
ACM
14 years 5 months ago
How opinions are received by online communities: a case study on amazon.com helpfulness votes
There are many on-line settings in which users publicly express opinions. A number of these offer mechanisms for other users to evaluate these opinions; a canonical example is Ama...
Cristian Danescu-Niculescu-Mizil, Gueorgi Kossinet...
ICCV
2003
IEEE
14 years 6 months ago
Towards a Mathematical Theory of Primal Sketch and Sketchability
In this paper, we present a mathematical theory for Marr's primal sketch. We first conduct a theoretical study of the descriptive Markov random field model and the generative...
Cheng-en Guo, Song Chun Zhu, Ying Nian Wu