Search results
Results from the WOW.Com Content Network
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 ...
A classic Maker-Breaker game is Hex. There, the winning-sets are all paths from the left side of the board to the right side. Maker wins by owning a connected path; Breaker wins by owning a connected path from top to bottom, since it blocks all connected paths from left to right.
GameMaker (originally Animo, Game Maker (until 2011) and GameMaker Studio) is a series of cross-platform game engines created by Mark Overmars in 1999 and developed by YoYo Games since 2007. The latest iteration of GameMaker was released in 2022.
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.)
By this construction, the function that defines the harmonic number for complex values is the unique function that simultaneously satisfies (1) H 0 = 0, (2) H x = H x−1 + 1/x for all complex numbers x except the non-positive integers, and (3) lim m→+∞ (H m+x − H m) = 0 for all complex values x.
The Heaviside step function, or the unit step function, usually denoted by H or θ (but sometimes u, 1 or 𝟙), is a step function named after Oliver Heaviside, the value of which is zero for negative arguments and one for positive arguments. Different conventions concerning the value H(0) are in use.
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 ...
The image of the limit of a contains a single point f(x), so it does not contain the limit of b. In contrast, that function is lower hemicontinuous everywhere. For example, for any sequence a that converges to x, from the left or from the right, f(x) contains a single point, and there exists a corresponding sequence b that converges to f(x).