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  2. Modular arithmetic - Wikipedia

    en.wikipedia.org/wiki/Modular_arithmetic

    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.

  3. Module (mathematics) - Wikipedia

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

    A right R-module M R is defined similarly in terms of an operation · : M × R → M. Authors who do not require rings to be unital omit condition 4 in the definition above; they would call the structures defined above "unital left R-modules". In this article, consistent with the glossary of ring theory, all rings and modules are assumed to be ...

  4. MIM-104 Patriot - Wikipedia

    en.wikipedia.org/wiki/MIM-104_Patriot

    [13] [14] The main gallium nitride (GaN)-based AESA array measures 9 ft × 13 ft (2.7 m × 4.0 m), is a bolt-on replacement for the current antenna, and is oriented toward the primary threat; two new rear panel arrays are a quarter the size of the main array and let the system look behind and to the sides, providing 360-degree coverage.

  5. Abstract algebra - Wikipedia

    en.wikipedia.org/wiki/Abstract_algebra

    In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations acting on their elements. [1] Algebraic structures include groups , rings , fields , modules , vector spaces , lattices , and algebras over a field .

  6. How to Solve It - Wikipedia

    en.wikipedia.org/wiki/How_to_Solve_It

    Make an orderly list [10] Eliminate possibilities [11] Use symmetry [12] Consider special cases [13] Use direct reasoning; Solve an equation [14] Also suggested: Look for a pattern [15] Draw a picture [16] Solve a simpler problem [17] Use a model [18] Work backward [19] Use a formula [20] Be creative [21]

  7. Exponential smoothing - Wikipedia

    en.wikipedia.org/wiki/Exponential_smoothing

    Exponential smoothing puts substantial weight on past observations, so the initial value of demand will have an unreasonably large effect on early forecasts. This problem can be overcome by allowing the process to evolve for a reasonable number of periods (10 or more) and using the average of the demand during those periods as the initial forecast.

  8. Hubble Space Telescope - Wikipedia

    en.wikipedia.org/wiki/Hubble_Space_Telescope

    Hubble features a 2.4 m (7 ft 10 in) mirror, and its five main instruments observe in the ultraviolet, visible, and near-infrared regions of the electromagnetic spectrum. Hubble's orbit outside the distortion of Earth's atmosphere allows it to capture extremely high-resolution images with substantially lower background light than ground-based ...

  9. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Mathematics in art: Albrecht Dürer's copper plate engraving Melencolia I, 1514. Mathematical references include a compass for geometry, a magic square and a truncated rhombohedron, while measurement is indicated by the scales and hourglass. [1] Wireframe drawing [2] of a vase as a solid of revolution [2] by Paolo Uccello. 15th century