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For a database of that size, by applying a Bonferroni correction to account for multiple comparisons, the significance threshold drops to 5*10 −8. [1] In addition to the calculated peptide scores, Mascot also estimates the False Discovery Rate (FDR) by searching against a decoy database. When performing a decoy search, Mascot generates a ...
Hence, it is technically more correct to discuss singular points of a smooth mapping here rather than a singular point of a curve. The above definitions can be extended to cover implicit curves which are defined as the zero set f − 1 ( 0 ) {\displaystyle f^{-1}(0)} of a smooth function , and it is not necessary just to consider ...
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.
Levinthal's paradox is a thought experiment in the field of computational protein structure prediction; protein folding seeks a stable energy configuration. An algorithmic search through all possible conformations to identify the minimum energy configuration (the native state) would take an immense duration; however in reality protein folding happens very quickly, even in the case of the most ...
For example, the rhamphoid cusp y 2 = x 5 has a singularity of order 2 at the origin. After blowing up at its singular point it becomes the ordinary cusp y 2 = x 3, which still has multiplicity 2. It is clear that the singularity has improved, since the degree of defining polynomial has decreased. This does not happen in general.
The numerical methods for solving singular perturbation problems are also very popular. [2] For books on singular perturbation in ODE and PDE's, see for example Holmes, Introduction to Perturbation Methods, [3] Hinch, Perturbation methods [4] or Bender and Orszag, Advanced Mathematical Methods for Scientists and Engineers. [5]
For a peptide spectral library, to reach a maximal coverage is a long-term goal, even with the support of scientific community and ever-growing proteomic technologies. [ citation needed ] However, the optimization for a particular module of the peptide spectra library is a more manageable goal, e.g. the proteins in a particular organelle or ...
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.