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In this paper we first remark that this measure of roughness has several undesirable properties, and then propose a parameter-free roughness measure for fuzzy sets based on the notion of the mass assignment of a fuzzy set.
However, for larger mixed-species Coulomb crystals the REMS spectra become complex due to Coulomb coupling [14] and an unambiguous mass assignment is not always possible [15, 16].
TOF mass assignment is performed on the basis of the well-known anionic spectrum from neutral potassium-nitromethane collision experiments [8].
This was considered at the time to be convincing proof of the synthesis of element 103: while the mass assignment was less certain and proved to be mistaken, it did not affect the arguments in favor of element 103 having been synthesized.
This information complements mass assignment and improves identification reliability.
Fragment ion intensity (and mass assignment for the major fragments) ratios of phloretin and the internal standard are shown in Fig. 6A,c.
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Given this framework it is shown that a bayesian approach can be adopted in order to infer probability distributions on the underlying variable given constraints both in the form of linguistic expressions and mass assignments.
Mass spectra were smoothed using the Gaussian method and mass assignments were done using threshold apex peak detection.
Additionally, mutual detection of a given molecular compound by both ionization techniques serves as cross-validation of the mass assignments.
One common problem with deisotoping mass spectra is false annotations caused by 1 Da (Da) mass errors in monoisotopic mass assignments.
(Refer to Tables S1 S5 in the Supporting Information for the tabulations of mass assignments of fragment ions and abundances used for the calculations).
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