The phrase "and extrapolations based on" is correct and usable in written English.
It can be used when discussing conclusions or predictions that are derived from existing data or information.
Example: "The report includes various analyses and extrapolations based on the latest market trends."
Alternatives: "and predictions derived from" or "and inferences drawn from".
The issues discussed include the size of the database for training a neural network, database enlargement for training a neural network, and extrapolation based on modelling results.
Another one is to first make the PGA contour map by the method of interpolation and extrapolation based on the information provided by the neighbor seismographs and then derive the PGA of the liquefied site from the map.
Conversely, the Earth Magnetic Anomaly Map EMAG-2 (Maus et al. 2009) interpolates between sparse marine magnetic data using directional gridding and extrapolation based on the age map of the seafloor (Müller et al. 2008), but the result displays artificially elongated features due to the improper interpolation of anomalies unrelated to seafloor spreading (associated, for instance, to seamounts).
A greater understanding of the cellular and molecular events in chemical carcinogenesis should improve all aspects of the overall risk assessment process, including extrapolations based on dose, species, and interindividual differences.
Replete with spelling errors and logical inconsistencies, the bulk of the indictment consists of wild extrapolations based on transcriptions of unremarkable telephone conversations, and descriptions of peaceful political activities – such as press statements, speeches, and demonstrations – joined by the accused.
Figures 2 and 3 also show the respective TSI series of the SAO data, obtained from extrapolations based on the three series I, W, and A. The TSI series exhibits a similarly reduced data scattering as does our reduction method.
Therefore, one should be cautious about making direct extrapolations based on observations with aqueous test systems or vegetable oils.
Until recently there as been only limited data on which to conduct further investigation, beyond simple extrapolations based on unreliable, secondary time series data and other evidence of a more anecdotal nature.
Its empirical claims were fairly minimal, consisting of extrapolations based on selective readings of systemic trends.
The estimates about all the lives to be saved are just extrapolations based on the presumed benefits of lower blood pressure.
