Common features between a FIF and a piecewise polynomial interpolation are that they are geometrical in nature, and they can be computed rapidly, but the main difference is the fractal character, i.e., a FIF satisfies a functional relation related to the self-similarity on smaller scales.
It is clear intuitively how we can explain type theory in set theory: a type is simply interpreted as a set, and function types A → B can be explained using the set theoretic notion of function (as a functional relation, i.e. a set of pairs of elements).
Through the links between subpopulations (i.e., N I and N SI ), variability in notified case numbers across years indirectly influences temporal variability in the seroconversion probability, c t,S | Pop (and via a functional relation in which vaccination-related seroconversion is adjusted for, the temporal variation in infection probability).
Design of Experiments (DOE) is a statistical tool, the USP (Universal samplaining Plan) of DOE is that it can establish a functional relation for a complex set of variables which otherwise cannot be related by any empirical formula.
An eminent 20th-century authority on these matters adduced linguistic, thematic, and other evidence to show a functional relation between primitive "satire," such as that of Carpre and Aithirne, and the "real" satire of more sophisticated times.
Results indicated a functional relation.
A functional relation for the estimation of transverse mixing coefficient has been developed using GEP.
Results indicate a functional relation between intervention and reading outcomes for four children.
In this work a functional relation (meta-model) between the uncertain structural parameters and the model properties is presented.
Mach very nearly realized this when, in The Analysis of Sensation, he abandoned Mill's 'possibilities' and replaced them with the mathematical notion of a functional relation.
In other words, when Frege asserts ƒ(x)=y, we may represent this as asserting that ƒ is a functional relation R such that Rxy.
