Sentence examples for for the axiomatic from inspiring English sources

We refer the reader to [12] for the axiomatic definition of such a measure.

In 1920, Hilbert proposed his general formalist research project for the axiomatic formalization of mathematics, which he also extended to physics.

Contraction can be understood as the structural rule of that name in the multiset-based frameworks or, for the axiomatic approach in Fmla, as the schema.

It seems that the only common property of all these systems is non-additivity of the entropy functional; actually it is a formal mathematical assertion, which follows directly from the axiomatic for the Tsallis entropy (see[ 34] and references therein (for Generalized Shannon-Khinchin axioms).

For Proclus the axiomatic form mirrors the metaphysical structure of emanation.

For this aim, the axiomatic design methodology will be applied.

A standard model for the classical axiomatic theory of Euclidean geometry consists of the cartesian product of the real numbers with itself.

The following additions (or some equivalent ones) are made to the axiomatic basis for LPC: the axiom x = x and the axiom schema that, where a and b are any individual variables and α and β are wffs that differ only in that, at one or more places where α has a free occurrence of a, β has a free occurrence of b, (a = b) ⊃ is an axiom.

We now are going to give the axiomatic definition for the measure of noncompactness in a complete metric space.

For many real systems, however, the axiomatic approach to modelling cannot be applied either because the.

Metamathematics is the axiomatic machinery for building clear foundations of mathematics, and includes predicate logic, set theory, and model theory (e.g., Zach 2009; Hacking 2014).