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  2. 5-inch/40-caliber gun - Wikipedia

    en.wikipedia.org/wiki/5-inch/40-caliber_gun

    It was intended for the Mark 2 Mods 1 and 4 and Mark 3 Mods 1 and 6 mounts. Mod 3 was the same as the Mod 2 but without the cylindrical section. It was designed to use the Mark 2 Mods 1, 2, 4, and 5 and the Mark 3 Mods 1, 4, 6, and 9 mounts. The Mod 4 only differed from the Mark 3 in that it had a muzzle bell.

  3. Modulo - Wikipedia

    en.wikipedia.org/wiki/Modulo

    [1] 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 ...

  4. 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 ...

  5. 5-inch/54-caliber Mark 45 gun - Wikipedia

    en.wikipedia.org/wiki/5-inch/54-caliber_Mark_45_gun

    The 5-inch (127 mm)/54-caliber (Mk 45) lightweight gun is a U.S. naval artillery gun mount consisting of a 5 in (127 mm) L54 Mark 19 gun on the Mark 45 mount. [1] It was designed and built by United Defense, a company later acquired by BAE Systems Land & Armaments, which continued manufacture. The latest 62-calibre-long version consists of a ...

  6. Montgomery modular multiplication - Wikipedia

    en.wikipedia.org/wiki/Montgomery_modular...

    The constants R mod N and R 3 mod N can be generated as REDC(R 2 mod N) and as REDC((R 2 mod N)(R 2 mod N)). The fundamental operation is to compute REDC of a product. When standalone REDC is needed, it can be computed as REDC of a product with 1 mod N. The only place where a direct reduction modulo N is necessary is in the precomputation of R ...

  7. Covering system - Wikipedia

    en.wikipedia.org/wiki/Covering_system

    A covering system is called irredundant (or minimal) if all the residue classes are required to cover the integers. The first two examples are disjoint. The third example is distinct. A system (i.e., an unordered multi-set) of finitely many residue classes is called an -cover if it covers every integer at least times, and an exact -cover if it ...

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    mail.aol.com

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  9. 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 ...