We explore various deļ¬nitions and characteristics of emergence, how we might recognise and measure emergence, and how we might engineer emergent systems. We discuss the TUNA (ā...
Basket Analysis is mathematically characterized and extended to search families of sets in this paper. These theories indicate the possibility of various new approaches of data mi...
Abstract. Eļ¬ective fractal dimension was deļ¬ned by Lutz (2003) in order to quantitatively analyze the structure of complexity classes. Interesting connections of eļ¬ective dim...
In 1986, following the work of Schoof on counting points on elliptic curves over finite fields, new algorithms for primality proving emerged, due to Goldwasser and Kilian on the on...
We define an infinite class of 2-pile subtraction games, where the amount that can be subtracted from both piles simultaneously is an extended Boolean function f of the size of th...