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The singular point at infinity can be removed (since this is a curve) by the normalization (integral closure) process. It turns out that after doing this, there is an open cover of the curve by two affine charts: the one already given by y 2 = f ( x ) {\displaystyle y^{2}=f(x)} and another one given by w 2 = v 2 g + 2 f ( 1 / v ...
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.
Swiss Mass Abacus is a calculator of peptide and glycopeptide masses. It is purposefully kept as simple as a basic calculator executing arithmetic operations. TOF-DS Proprietary: Software by Markes International used with BenchTOF time-of-flight mass spectrometers. TopFD Open source
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
An alpha-helix with hydrogen bonds (yellow dots) The α-helix is the most abundant type of secondary structure in proteins. The α-helix has 3.6 amino acids per turn with an H-bond formed between every fourth residue; the average length is 10 amino acids (3 turns) or 10 Å but varies from 5 to 40 (1.5 to 11 turns).
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.
The possible peptide that has the most similar spectrum will have the highest chance to be the right sequence. However, the number of possible peptides may be large. For example, a precursor peptide with a molecular weight of 774 has 21,909,046 possible peptides. Even though it is done in the computer, it takes a long time. [17] [18]
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.