A simple mathematical example is given by scattering by compactly supported potentials in dimension one, see Fig. 4 for an example of such potential.
Maimon's reliance on mathematical examples is not coincidental, since it is (primarily) in mathematics that we find real syntheses, namely, syntheses that pass the test of the law of determinability.
This non-mathematical example is suggestive of later developments, i.e., the theory of non-well founded sets and its recent applications to semantics.
The first numerical example is modeled and solved using proposed fuzzy mathematical programming.
The mathematical model was evaluated using an example based on cutinase experimental data.
Finally, two mathematical illustrative examples are accorded to show the advantage of the proposed conceptual results.
Furthermore, the optimum solution obtained from the proposed mathematical model for this example is presented in Table 4.
A mathematical description and an example are also included in the Additional file 1: Methods G and H, respectively.
The key lesson to be learned from this example is that mathematical formalisms must be transparent to the user.
Archimedes (Archimedes, Inc., San Francisco, CA), for example, is a mathematical model that represents the anatomy, physiology, and pathology pertinent to diabetes and its complications [43].
