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Challenge ProMode Arena (CPMA, formerly Challenge ProMode [CPM], unofficially Promode) is a freeware modification for id Software's first-person shooter computer game Quake III Arena (Q3A). CPMA includes modified gameplays that feature air-control, rebalanced weapons, instant weapon switching and additional jumping techniques.
In April 2021, the developers announced plans to launch a Kickstarter project later in the month to turn the demo into a full game. [12] On April 18, a Kickstarter project for the full version of the game was released under the name Friday Night Funkin': The Full Ass Game and reached its goal of $60,000 within hours. [18]
Mod packs are groups of mods put into one package for download, often with an auto-installer. A mod pack's purpose is to make it easier for the player to install and manage multiple mods. [73] Mod packs may be created with the purpose of making the original game more accessible to new players or to make the game harder for veterans to enjoy.
Note that if n 2 is the closest perfect square to the desired square x and d = x - n 2 is their difference, it is more convenient to express this approximation in the form of mixed fraction as . Thus, in the previous example, the square root of 15 is 4 − 1 8 . {\displaystyle 4{\tfrac {-1}{8}}.}
The Tonelli–Shanks algorithm (referred to by Shanks as the RESSOL algorithm) is used in modular arithmetic to solve for r in a congruence of the form r 2 ≡ n (mod p), where p is a prime: that is, to find a square root of n modulo p.
Championnat International de Jeux Mathématiques et Logiques — for all ages, mainly for French-speaking countries, but participation is not limited by language.; China Girls Mathematical Olympiad (CGMO) — held annually for teams of girls representing different regions within China and a few other countries.
Concrete Mathematics: A Foundation for Computer Science, by Ronald Graham, Donald Knuth, and Oren Patashnik, first published in 1989, is a textbook that is widely used in computer-science departments as a substantive but light-hearted treatment of the analysis of algorithms.
Integer multiplication respects the congruence classes, that is, a ≡ a' and b ≡ b' (mod n) implies ab ≡ a'b' (mod n). This implies that the multiplication is associative, commutative, and that the class of 1 is the unique multiplicative identity. Finally, given a, the multiplicative inverse of a modulo n is an integer x satisfying ax ≡ ...