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Hex is a finite, 2-player perfect information game, and an abstract strategy game that belongs to the general category of connection games. [1] It can be classified as a Maker-Breaker game, [1]: 122 a particular type of positional game. Since the game can never end in a draw, [1]: 99 Hex is also a determined game. Hex is a special case of the ...
It is used to analyse discrete dynamical systems by finding a new coordinate system in which the system (orbit) generated by h(x) looks simpler, a mere dilation.. More specifically, a system for which a discrete unit time step amounts to x → h(x), can have its smooth orbit (or flow) reconstructed from the solution of the above Schröder's equation, its conjugacy equation.
Fig. 1: The graph of the hyperelliptic curve : = where () = + + = (+) (+) ().. In algebraic geometry, a hyperelliptic curve is an algebraic curve of genus g > 1, given by an equation of the form + = where f(x) is a polynomial of degree n = 2g + 1 > 4 or n = 2g + 2 > 4 with n distinct roots, and h(x) is a polynomial of degree < g + 2 (if the characteristic of the ground field is not 2, one can ...
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A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. [1] [verification needed] [clarification needed] Often, such games have simple rules and match procedures, such as tic-tac-toe and dots and boxes. Generally, mathematical games need not be conceptually intricate to involve deeper ...
4. Mean value: If x is a variable that takes its values in some sequence of numbers S, then ¯ may denote the mean of the elements of S. 5. Negation: Sometimes used to denote negation of the entire expression under the bar, particularly when dealing with Boolean algebra.
lnp1 – natural logarithm plus 1 function. ln1p – natural logarithm plus 1 function. log – logarithm. (If without a subscript, this may mean either log 10 or log e.) logh – natural logarithm, log e. [6] LST – language of set theory. lub – least upper bound. [1] (Also written sup.)
The game starts with an arbitrary number (n) of dots or crosses. At each turn, the player chooses to add either a dot, or a cross, along the line they have just drawn. The duration of the game lays between (2n) and (5n − 2), depending on the number of dots or crosses having been added. For n = 1, starting with a dot, the game will end after 2 ...