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  2. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    Adding 4 hours to 9 o'clock gives 1 o'clock, since 13 is congruent to 1 modulo 12. In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones ...

  3. Modular multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Modular_multiplicative_inverse

    X ≡ 6 (mod 11) has common solutions since 5,7 and 11 are pairwise coprime. A solution is given by X = t 1 (7 × 11) × 4 + t 2 (5 × 11) × 4 + t 3 (5 × 7) × 6. where t 1 = 3 is the modular multiplicative inverse of 7 × 11 (mod 5), t 2 = 6 is the modular multiplicative inverse of 5 × 11 (mod 7) and t 3 = 6 is the modular multiplicative ...

  4. List of video games derived from mods - Wikipedia

    en.wikipedia.org/wiki/List_of_video_games...

    2013 January 31 [4] The mod was originally known as Hazard: The Journey of Life. [5] Auto Chess: Dota 2: 2019 January 4 [6] 2019 May 30 [7] The standalone remake of the Dota Auto Chess mod from within Dota 2, developed by Drodo Studio. [8] The Ball: Unreal Tournament 3: 2008 2010 October 26 [9] Bid For Power: Quake III Arena : 2004 2004

  5. Multiplicative group of integers modulo n - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_group_of...

    In modular arithmetic, the integers coprime (relatively prime) to n from the set of n non-negative integers form a group under multiplication modulo n, called the multiplicative group of integers modulo n. Equivalently, the elements of this group can be thought of as the congruence classes, also known as residues modulo n, that are coprime to n .

  6. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    For example, the expression "5 mod 2" evaluates to 1, because 5 divided by 2 has a quotient of 2 and a remainder of 1, while "9 mod 3" would evaluate to 0, because 9 divided by 3 has a quotient of 3 and a remainder of 0. Although typically performed with a and n both being integers, many computing systems now allow other types of numeric operands.

  7. Mk 13 rifle - Wikipedia

    en.wikipedia.org/wiki/Mk_13_rifle

    The Mk 13 MOD 5 utilizes the "long-action" bolt of the Remington 700/M24 receiver and has a precision barrel that can be fitted with the suppressor of the Mk 11. It has a 3-sided Modular Accessory Rail System (MARS) for mounting optics on top and Picatinny rail accessories on each side, and a folding bipod. [ 2 ]

  8. Video game modding - Wikipedia

    en.wikipedia.org/wiki/Video_game_modding

    v. t. e. Video game modding (short for "modification") is the process of alteration by players or fans of one or more aspects of a video game, [1] such as how it looks or behaves, and is a sub-discipline of general modding. Mods may range from small changes and tweaks to complete overhauls, and can extend the replay value and interest of the game.

  9. Proofs of Fermat's little theorem - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_Fermat's_little...

    Simplifications. Some of the proofs of Fermat's little theorem given below depend on two simplifications. The first is that we may assume that a is in the range 0 ≤ a ≤ p − 1. This is a simple consequence of the laws of modular arithmetic; we are simply saying that we may first reduce a modulo p.