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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. [61] 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. 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]

  5. Mobius function - Wikipedia

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

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  6. 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 ...

  7. 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.

  8. Rifapentine - Wikipedia

    en.wikipedia.org/wiki/Rifapentine

    Rifapentine in pregnant women has not been studied, but animal reproduction studies have resulted in fetal harm and were teratogenic. If rifapentine or rifampin are used in late pregnancy, coagulation should be monitored due to a possible increased risk of maternal postpartum hemorrhage and infant bleeding. [2]

  9. Talk:Möbius function - Wikipedia

    en.wikipedia.org/wiki/Talk:Möbius_function

    The following was moved here from the "Moebius arithmetical function" article: In number theory is very important another sum, defined by: M(n) = ∑ μ(n) . This function is closely linked with the positions of zeroes of Euler - Riemann ζ- function. The connection between M(n) and Riemann conjecture was known to Thomas Joannes Stieltjes.