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Luhn algorithm. The Luhn algorithm or Luhn formula, also known as the " modulus 10" or "mod 10" algorithm, named after its creator, IBM scientist Hans Peter Luhn, is a simple check digit formula used to validate a variety of identification numbers. It is described in US patent 2950048A, granted on 23 August 1960. [ 1]
Primes p for which there are no solutions to H k ≡ 0 (mod p) and H k ≡ −ω p (mod p) for 1 ≤ k ≤ p−2, where H k denotes the k-th harmonic number and ω p denotes the Wolstenholme quotient.
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 ...
Zone 1 uses an integrated numbering plan; four digits (1xxx) determine the area served in Canada, the United States and its territories, and much of the Caribbean. Zone 2 uses two 2-digit codes (20, 27) and eight sets of 3-digit codes (21x–26x, 28x, 29x), mostly to serve Africa , but also Aruba , Faroe Islands , Greenland and British Indian ...
It is an upgrade of the earlier Mark 8 Mod 0 SDV. The Mod 1 is quieter, faster, more efficient, and has a longer range than the Mod 0. [16] Its updated electronics, materials, and battery and motor systems gives it twice the range and 1.5 times the speed of the Mod 0. [16]
In the United Kingdom, telephone numbers are administered by the Office of Communications ( Ofcom ). For this purpose, Ofcom established a telephone numbering plan, known as the National Telephone Numbering Plan, which is the system for assigning telephone numbers to subscriber stations. Telephone numbers are of variable length.
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A telephone number serves as an address for switching telephone calls using a system of destination code routing. [ 1] Telephone numbers are entered or dialed by a calling party on the originating telephone set, which transmits the sequence of digits in the process of signaling to a telephone exchange. The exchange completes the call either to ...