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  2. Möbius function - Wikipedia

    en.wikipedia.org/wiki/Möbius_function

    The Möbius function () is a multiplicative function in number theory introduced by the German mathematician August Ferdinand Möbius (also transliterated Moebius) in 1832. [ i ] [ ii ] [ 2 ] It is ubiquitous in elementary and analytic number theory and most often appears as part of its namesake the Möbius inversion formula .

  3. Möbius inversion formula - Wikipedia

    en.wikipedia.org/wiki/Möbius_inversion_formula

    The previous formula arises in the special case of the constant function α(n) = 1, whose Dirichlet inverse is α −1 (n) = μ(n). A particular application of the first of these extensions arises if we have (complex-valued) functions f ( n ) and g ( n ) defined on the positive integers, with

  4. Rifampicin - Wikipedia

    en.wikipedia.org/wiki/Rifampicin

    In August 2020, the U.S. Food and Drug Administration (FDA) became aware of nitrosamine impurities in certain samples of rifampin. [62] The FDA and manufacturers are investigating the origin of these impurities in rifampin, and the agency is developing testing methods for regulators and industry to detect the 1-methyl-4-nitrosopiperazine (MNP ...

  5. Mobius function - Wikipedia

    en.wikipedia.org/?title=Mobius_function&redirect=no

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  6. Selberg sieve - Wikipedia

    en.wikipedia.org/wiki/Selberg_sieve

    In terms of sieve theory the Selberg sieve is of combinatorial type: that is, derives from a careful use of the inclusion–exclusion principle.Selberg replaced the values of the Möbius function which arise in this by a system of weights which are then optimised to fit the given problem.

  7. August Ferdinand Möbius - Wikipedia

    en.wikipedia.org/wiki/August_Ferdinand_Möbius

    Möbius was born in Schulpforta, Electorate of Saxony, and was descended on his mother's side from religious reformer Martin Luther. [2] He was home-schooled until he was 13, when he attended the college in Schulpforta in 1803, and studied there, graduating in 1809.

  8. Primon gas - Wikipedia

    en.wikipedia.org/wiki/Primon_gas

    In mathematical physics, the primon gas or Riemann gas [1] discovered by Bernard Julia [2] is a model illustrating correspondences between number theory and methods in quantum field theory, statistical mechanics and dynamical systems such as the Lee-Yang theorem.

  9. Rifamycin - Wikipedia

    en.wikipedia.org/wiki/Rifamycin

    Rifampin rapidly kills fast-dividing bacilli strains as well as "persisters" cells, which remain biologically inactive for long periods of time that allow them to evade antibiotic activity. [7] In addition, rifabutin and rifapentine have both been used against tuberculosis acquired in HIV-positive patients.