On the other hand, mathematical extrapolation of existing theories into new theoretical areas, critical reexamination of apparently obvious but untested assumptions, argument by symmetry or analogy, aesthetic judgment, pure accident, and hunch each of these plays a role (as in all of science).
In global field modelling, extrapolation of the field is usually based upon some mathematical extrapolation of the time dependence of the coefficients.
Five of these models rely on mathematical extrapolation of parent models (B, D, E, F, and I).
The estimated losses are based on a combination of on-site sampling, previously known populations of key species, laboratory studies of the toxicity of the oil and the dispersants used to break it up and the mathematical extrapolation of those results to put a number on the ecological damage to life far offshore and below the surface.
A limitation of our study might be the mathematical extrapolation of the removal during a single session to the removal on weekly basis.
Indeed, mathematical extrapolation of these data indicated only 2/3 of the actual L. casei pan-genome has been sequenced to date (5,935 orthologous clusters found versus an estimated 9,072 total).
Furthermore, our mathematical extrapolations of the incomplete waveforms define, with high probability, the locations of each tracemaking appendage above the sedimentary surface, even where no traces were made, as well as the size of the fish (Figure 5).
Application of mathematical extrapolation to soil mapping based on digitization of soil indexes significantly decreases the time taken to complete map drawing and excludes voluntarism from its production.
The differences in the numbers of users, however, make accurate comparison difficult beyond mathematical extrapolation.
The selection of quiet acceleration conditions illustrates well why forecasting the main field with pure mathematical extrapolation remains a major challenge.
