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Eventually, twenty-seven batteries of five guns were formed during World War I. [7] Between the wars, many guns were modernized for tractor-towing with pressed-steel wheels and rubber rims. [8] These weighed some 65 kg (143 lb) more than the original version with spoked wooden wheels. The modernized guns went on to serve in World War II. [9]
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 ...
The Dozor-B (Ukrainian: Дозор-Б) is a four-wheeled Ukrainian armored car.. The Dozor-B is also used by special units of the armed forces (quick reaction forces and military police) to carry out reconnaissance, patrolling, and peace-keeping operations, as well as being used as the main transportation vehicle under combat conditions (including NBC environment).
The fraction 13/5 = 2.6 and the floor function have that effect; the denominator of 5 sets a period of 5 months. The overall function, mod 7 {\displaystyle \operatorname {mod} \,7} , normalizes the result to reside in the range of 0 to 6, which yields the index of the correct day of the week for the date being analyzed.
The mod 12 used the same fixed quickfire ammunition as the mod 06. For transport, the mod 12 was attached to a limber that carried 28 rounds of ammunition and was towed by a six-horse team. Three gunners rode the three horses to the left, while the piece was preceded by the crew chief and followed by four gunners, all on horseback, for a total ...
The quadratic excess E ( p) is the number of quadratic residues on the range (0, p /2) minus the number in the range ( p /2, p) (sequence A178153 in the OEIS ). For p congruent to 1 mod 4, the excess is zero, since −1 is a quadratic residue and the residues are symmetric under r ↔ p − r.
The multiplicative order of a number a modulo n is the order of a in the multiplicative group whose elements are the residues modulo n of the numbers coprime to n, and whose group operation is multiplication modulo n. This is the group of units of the ring Zn; it has φ ( n) elements, φ being Euler's totient function, and is denoted as U ( n ...
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 ...
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