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  2. Riemann's differential equation - Wikipedia

    en.wikipedia.org/wiki/Riemann's_differential...

    In mathematics, Riemann's differential equation, named after Bernhard Riemann, is a generalization of the hypergeometric differential equation, allowing the regular singular points to occur anywhere on the Riemann sphere, rather than merely at 0, 1, and . The equation is also known as the Papperitz equation. [1]

  3. Mascot (software) - Wikipedia

    en.wikipedia.org/wiki/Mascot_(software)

    Peptide Mass Fingerprint search Identifies proteins from an uploaded peak list using a technique known as peptide mass fingerprinting. Sequence query Combines peptide mass data with amino acid sequence and composition information usually obtained from MS/MS tandem mass spectrometry data. Based on the peptide sequence tag approach. MS/MS Ion Search

  4. List of mass spectrometry software - Wikipedia

    en.wikipedia.org/wiki/List_of_mass_spectrometry...

    Rational Numbers Excel Add-In Proprietary: De novo identification tool for small molecules that works with Microsoft Excel (2010, 2013, 2016 and 2019). This software treats small molecules as mathematical partitions of the molecular mass and generates subfragment formulas with atoms that are sets of partitions comprising the molecular formula.

  5. Regular singular point - Wikipedia

    en.wikipedia.org/wiki/Regular_singular_point

    Point a is an ordinary point when functions p 1 (x) and p 0 (x) are analytic at x = a. Point a is a regular singular point if p 1 (x) has a pole up to order 1 at x = a and p 0 has a pole of order up to 2 at x = a. Otherwise point a is an irregular singular point.

  6. Confluent hypergeometric function - Wikipedia

    en.wikipedia.org/wiki/Confluent_hypergeometric...

    with a regular singular point at z = 0 and an irregular singular point at z = ∞. It has two (usually) linearly independent solutions M(a, b, z) and U(a, b, z). Kummer's function of the first kind M is a generalized hypergeometric series introduced in (Kummer 1837), given by:

  7. Singularity function - Wikipedia

    en.wikipedia.org/wiki/Singularity_function

    Singularity functions are a class of discontinuous functions that contain singularities, i.e., they are discontinuous at their singular points.Singularity functions have been heavily studied in the field of mathematics under the alternative names of generalized functions and distribution theory.

  8. Peptide bond - Wikipedia

    en.wikipedia.org/wiki/Peptide_bond

    Peptide bond formation via dehydration reaction. When two amino acids form a dipeptide through a peptide bond, [1] it is a type of condensation reaction. [2] In this kind of condensation, two amino acids approach each other, with the non-side chain (C1) carboxylic acid moiety of one coming near the non-side chain (N2) amino moiety of the other.

  9. Singular point of a curve - Wikipedia

    en.wikipedia.org/wiki/Singular_point_of_a_curve

    A curve with a triple point at the origin: x(t) = sin(2t) + cos(t), y(t) = sin(t) + cos(2t) In general, if all the terms of degree less than k are 0, and at least one term of degree k is not 0 in f, then curve is said to have a multiple point of order k or a k-ple point.