Sökning: "Beatty sequence"
Hittade 2 avhandlingar innehållade orden Beatty sequence.
1. Sequences and games generalizing the combinatorial game of Wythoff Nim
Sammanfattning : One single Queen is placed on an arbitrary starting position of a (large) Chess board. Two players alternate in moving the Queen as in a game of Chess but with the restriction that the $L^1$ distance to the lower left corner, position $(0,0)$, must decrease. The player who moves there wins. Let $\phi =\frac{1+\sqrt{5}}{2}$, the golden ratio. LÄS MER
2. Impartial Games and Recursive Functions
Sammanfattning : Interest in 2-player impartial games often concerns the famous theory of Sprague-Grundy. In this thesis we study other aspects, bridging some gaps between combinatorial number theory, computer science and combinatorial games. LÄS MER