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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 range of values for an integer modulo operation of n is 0 to n − 1 ( a mod 1 is always 0; a mod 0 is undefined, being a division by zero ). When exactly one of a or n is negative, the basic definition breaks down, and programming languages differ in how these values are defined.
The Saturn IB[ a] (also known as the uprated Saturn I) was an American launch vehicle commissioned by the National Aeronautics and Space Administration (NASA) for the Apollo program. It uprated the Saturn I by replacing the S-IV second stage (90,000-pound-force (400,000 N), 43,380,000 lb-sec total impulse), with the S-IVB (200,000-pound-force ...
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A slug is defined as a mass that is accelerated by 1 ft/s 2 when a net force of one pound (lbf) is exerted on it. [ 2] One slug is a mass equal to 32.17405 lb (14.59390 kg) based on standard gravity, the international foot, and the avoirdupois pound. [ 3] In other words, at the Earth's surface (in standard gravity), an object with a mass of 1 ...
While not an SI-unit, the litre may be used with SI units. It is equivalent to (10 cm) 3 = (1 dm) 3 = 10 −3 m 3. Many non-SI units continue to be used in the scientific, technical, and commercial literature. Some units are deeply embedded in history and culture, and their use has not been entirely replaced by their SI alternatives.
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.
The International Baccalaureate Middle Years Programme (MYP) is an educational programme for students between the ages of 11 and 16 around the world as part of the International Baccalaureate (IB) continuum. Middle Year Programme is intended to prepare students for the two-year IB Diploma Programme. [1] It is used by 1,358 schools in 108 countries.