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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. Poisson's ratio - Wikipedia

    en.wikipedia.org/wiki/Poisson's_ratio

    Poisson's ratio. In materials science and solid mechanics, Poisson's ratio ν ( nu) is a measure of the Poisson effect, the deformation (expansion or contraction) of a material in directions perpendicular to the specific direction of loading. The value of Poisson's ratio is the negative of the ratio of transverse strain to axial strain.

  6. California bearing ratio - Wikipedia

    en.wikipedia.org/wiki/California_bearing_ratio

    The California Bearing Ratio ( CBR) is a measure of the strength of the subgrade of a road or other paved area, and of the materials used in its construction. The ratio is measured using a standardized penetration test first developed by the California Division of Highways for highway engineering. [ 1] Empirical tests measure the strength of ...

  7. Elasticity (physics) - Wikipedia

    en.wikipedia.org/wiki/Elasticity_(physics)

    e. In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after ...

  8. Modular multiplicative inverse - Wikipedia

    en.wikipedia.org/wiki/Modular_multiplicative_inverse

    Modular multiplicative inverse. In mathematics, particularly in the area of arithmetic, a modular multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m. [ 1] In the standard notation of modular arithmetic this congruence is written as.

  9. Bulk modulus - Wikipedia

    en.wikipedia.org/wiki/Bulk_modulus

    Strictly speaking, the bulk modulus is a thermodynamic quantity, and in order to specify a bulk modulus it is necessary to specify how the pressure varies during compression: constant- temperature (isothermal ), constant- entropy ( isentropic ), and other variations are possible. Such distinctions are especially relevant for gases .