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  2. Moment magnitude scale - Wikipedia

    en.wikipedia.org/wiki/Moment_magnitude_scale

    (1) of Percaru and Berckhemer (1978) for the magnitude 5.0 ≤ M s ≤ 7.5 (Hanks and Kanamori 1979). Note that Eq. (1) of Percaru and Berckhemer (1978) for the magnitude range 5.0 ≤ M s ≤ 7.5 is not reliable due to the inconsistency of defined magnitude range (moderate to large earthquakes defined as M s ≤ 7.0 and M s = 7–7.5) and ...

  3. Topology - Wikipedia

    en.wikipedia.org/wiki/Topology

    A three-dimensional model of a figure-eight knot.The figure-eight knot is a prime knot and has an Alexander–Briggs notation of 4 1.. Topology (from the Greek words τόπος, 'place, location', and λόγος, 'study') is the branch of mathematics concerned with the properties of a geometric object that are preserved under continuous deformations, such as stretching, twisting, crumpling ...

  4. Letter frequency - Wikipedia

    en.wikipedia.org/wiki/Letter_frequency

    The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...

  5. List of unsolved problems in mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_unsolved_problems...

    Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer science, algebra, analysis, combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential equations.

  6. Calculus - Wikipedia

    en.wikipedia.org/wiki/Calculus

    These are objects which can be treated like real numbers but which are, in some sense, "infinitely small". For example, an infinitesimal number could be greater than 0, but less than any number in the sequence 1, 1/2, 1/3, ... and thus less than any positive real number. From this point of view, calculus is a collection of techniques for ...

  7. Delta-v budget - Wikipedia

    en.wikipedia.org/wiki/Delta-v_budget

    Launch to LEO—this not only requires an increase of velocity from 0 to 7.8 km/s, but also typically 1.52 km/s for atmospheric drag and gravity drag [citation needed] Re-entry from LEO—the delta-v required is the orbital maneuvering burn to lower perigee into the atmosphere, atmospheric drag takes care of the rest.

  8. Partial differential equation - Wikipedia

    en.wikipedia.org/wiki/Partial_differential_equation

    In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.. The function is often thought of as an "unknown" that solves the equation, similar to how x is thought of as an unknown number solving, e.g., an algebraic equation like x 2 − 3x + 2 = 0.

  9. Canon EF 70–200mm lens - Wikipedia

    en.wikipedia.org/wiki/Canon_EF_70–200mm_lens

    f/4L USM [1] [2] f/4L IS USM [3] [4] [5] f/4L IS II USM [6] f/2.8L USM [7] [8] f/2.8L IS USM; f/2.8L IS II USM [9] [10] f/2.8L IS III USM [11] The latest iterations of both the f/4 and the f/2.8 variants were announced on 7 June 2018. The f/4 is currently under production and the original MSRP was increased from US$1,299 to US$1,499. In March ...