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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. 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 ...

  4. Mobius function - Wikipedia

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

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  5. Möbius inversion formula - Wikipedia

    en.wikipedia.org/wiki/Möbius_inversion_formula

    For example, if one starts with Euler's totient function φ, and repeatedly applies the transformation process, one obtains: φ the totient function; φ ∗ 1 = I, where I(n) = n is the identity function; I ∗ 1 = σ 1 = σ, the divisor function; If the starting function is the Möbius function itself, the list of functions is: μ, the Möbius ...

  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. 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.

  8. Multidrug-resistant tuberculosis - Wikipedia

    en.wikipedia.org/wiki/Multidrug-resistant...

    In non-resistant TB, rifampin binds the beta subunit of RNA polymerase and disrupts transcription elongation. Mutation in the rpoB gene changes the sequence of amino acids and eventual conformation, or arrangement, of the beta subunit. In this case, rifampin can no longer bind or prevent transcription, and the bacterium is resistant. [19] [20]

  9. 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.