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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. 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.

  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. Antibiotic - Wikipedia

    en.wikipedia.org/wiki/Antibiotic

    Most target bacterial functions or growth processes. [8] Those that target the bacterial cell wall ( penicillins and cephalosporins ) or the cell membrane ( polymyxins ), or interfere with essential bacterial enzymes ( rifamycins , lipiarmycins , quinolones , and sulfonamides ) have bactericidal activities, killing the bacteria.

  9. Rifapentine - Wikipedia

    en.wikipedia.org/wiki/Rifapentine

    Rifapentine, sold under the brand name Priftin, is an antibiotic used in the treatment of tuberculosis. [2] In active tuberculosis it is used together with other antituberculosis medications. [2]