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Time-keeping on this clock uses arithmetic modulo 12. 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.
Then () = means that the order of the group is 8 (i.e., there are 8 numbers less than 20 and coprime to it); () = means the order of each element divides 4, that is, the fourth power of any number coprime to 20 is congruent to 1 (mod 20).
A Mark VIII Mod 4 torpedo exhibit at the German Naval Museum, Wilhelmshaven, Germany. Located in front of submarine U-10 (S-189). The Mark VIII was designed circa 1925 and was the first British burner cycle design torpedo.
In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another, called the modulus of the operation.. Given two positive numbers a and n, a modulo n (often abbreviated as a mod n) is the remainder of the Euclidean division of a by n, where a is the dividend and n is the divisor.
A new type of 4.5 inch gun with a longer 55-calibre barrel, it was designed in the 1960s for the Royal Navy's new classes of frigates and destroyers.The weapon, built by Vickers Ltd Armament Division, was developed by the Royal Armament Research and Development Establishment using the Ordnance, QF 105 mm L13 of the Abbot self-propelled gun as a starting point (it used electrical primers).
The Bliss–Leavitt Mark 8 torpedo was the United States Navy's first 21-inch (530 mm) by 21-foot (6.4 m) torpedo. [1] Although introduced prior to World War I, most of its combat use was by PT boats in World War II.
Even without knowledge that we are working in the multiplicative group of integers modulo n, we can show that a actually has an order by noting that the powers of a can only take a finite number of different values modulo n, so according to the pigeonhole principle there must be two powers, say s and t and without loss of generality s > t, such that a s ≡ a t (mod n).
Mk.8 Mod 4 466 lb (211 kg) TNT: Turbine: 36 kn (67 km/h) for 16,000 yd (15 km) Bliss-Leavitt Mark 9