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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 Mark 15 nuclear bomb, or Mk-15, was a 1950s American thermonuclear bomb, the first relatively lightweight (7,600 lb (3,400 kg)) thermonuclear bomb created by the United States. A total of 1,200 Mark 15 bombs were produced from 1955 to 1957. There were three production variants: Mod 1, Mod 2, and Mod 3. The design was in service from 1955 to ...
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.
While the Mod 0 weighs 7.5 kg (16.5 lb), the Mod 2 weighs 5.9 kg (13 lb) with the MBS attached, and 3.9 kg (8.5 lb) with the MBS detached. Other improvements include increased pad size on the forward grip and foldable backup iron sights. [12] The Mod 2 systems were expected to replace the existing inventory by October 2020. [13] [14] [15]
Dirichlet character. In analytic number theory and related branches of mathematics, a complex-valued arithmetic function is a Dirichlet character of modulus (where is a positive integer) if for all integers and : [1] that is, is completely multiplicative. (gcd is the greatest common divisor)
Modulo is a mathematical jargon that was introduced into mathematics in the book Disquisitiones Arithmeticae by Carl Friedrich Gauss in 1801. [3] Given the integers a, b and n, the expression "a ≡ b (mod n)", pronounced "a is congruent to b modulo n", means that a − b is an integer multiple of n, or equivalently, a and b both share the same remainder when divided by n.
The Mark 15 torpedo was the standard American destroyer -launched torpedo of World War II. It was very similar in design to the Mark 14 torpedo except that it was longer, heavier, and had greater range and a larger warhead. The Mark 15 was developed by the Naval Torpedo Station Newport concurrently with the Mark 14 and was first deployed in ...
The Mark 39 design was a thermonuclear bomb and had a yield of 3.8 megatons. [1] It weighed 6,500–6,750 pounds (2,950–3,060 kilograms), [2] and was about 11 feet, 8 inches long (3.556 meters) [2] with a diameter of 35 inches (89 cm). [2] The design is an improved Mark 15 nuclear bomb design (the TX-15-X3 design and Mark 39 Mod 0 were the ...