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2. Luhn algorithm - Wikipedia

   en.wikipedia.org/wiki/Luhn_algorithm

   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 ]

3. Modular arithmetic - Wikipedia

   en.wikipedia.org/wiki/Modular_arithmetic

   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 ...

4. Rule of mixtures - Wikipedia

   en.wikipedia.org/wiki/Rule_of_mixtures

   In general, for some material property (often the elastic modulus [ 1 ]), the rule of mixtures states that the overall property in the direction parallel to the fibers may be as high as. where. is the volume fraction of the fibers. is the material property of the fibers. is the material property of the matrix.

5. Fletcher's checksum - Wikipedia

   en.wikipedia.org/wiki/Fletcher's_checksum

   An ordering problem that is easy to envision occurs when the data word is transferred byte-by-byte between a big-endian system and a little-endian system and the Fletcher-32 checksum is computed. If blocks are extracted from the data word in memory by a simple read of a 16-bit unsigned integer, then the values of the blocks will be different in ...

6. Modulo (mathematics) - Wikipedia

   en.wikipedia.org/wiki/Modulo_(mathematics)

   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.

7. Montgomery modular multiplication - Wikipedia

   en.wikipedia.org/wiki/Montgomery_modular...

   Montgomery modular multiplication relies on a special representation of numbers called Montgomery form. The algorithm uses the Montgomery forms of a and b to efficiently compute the Montgomery form of ab mod N. The efficiency comes from avoiding expensive division operations. Classical modular multiplication reduces the double-width product ab ...