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A finite game (sometimes called a founded game [1] or a well-founded game [2]) is a two-player game which is assured to end after a finite number of moves. Finite games may have an infinite number of possibilities or even an unbounded number of moves, so long as they are guaranteed to end in a finite number of turns. [3]
The Borde–Guth–Vilenkin (BGV) theorem is a theorem in physical cosmology which deduces that any universe that has, on average, been expanding throughout its history cannot be infinite in the past but must have a past spacetime boundary. [1]
An infinite universe (unbounded metric space) means that there are points arbitrarily far apart: for any distance d, there are points that are of a distance at least d apart. A finite universe is a bounded metric space, where there is some distance d such that all points are within distance d of each other.
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Dance Dance Revolution Universe 2, sometimes abbreviated as Universe 2, is a music video game for the North American Xbox 360. Published by Konami and developed by Hudson Soft on December 4, 2007, [ 1 ] [ 2 ] [ 3 ] Universe 2 is a sequel to Dance Dance Revolution Universe released earlier the same year.
Free-to-play (F2P) refers to video games which give players access to a significant portion of their content without paying. There are several kinds of free-to-play games, but the most common is based on the freemium software model.
A finite game is played for the purpose of winning, an infinite game for the purpose of continuing the play. Finite games are those instrumental activities - from sports to politics to wars - in which the participants obey rules, recognize boundaries and announce winners and losers. The infinite game - there is only one - includes any authentic ...
For infinite chess, it has been found that the mate-in-n problem is decidable; that is, given a natural number n and a player to move and the positions (such as on ) of a finite number of chess pieces that are uniformly mobile and with constant and linear freedom, there is an algorithm that will answer if there is a forced checkmate in at most n moves. [11]