Sentence examples for mathematical domain from inspiring English sources

Operators also support the inclusion of processes outside the mathematical domain of difference equations.

Given that one cannot quantify over an infinite mathematical domain, the question arises: What, if anything, does any number-theoretic proof by mathematical induction actually prove?

In these days the angel of topology and the devil of abstract algebra fight for the soul of each individual mathematical domain [373], p.

We demonstrate our approach for the mathematical domain of limit theorems, which was proposed as a challenge to automated theorem proving by the late Woody Bledsoe.

Although algebra has its roots in numerical domains such as the reals and the complex numbers, in its full generality it differs from its siblings in serving no specific mathematical domain.

When used to characterize a specific mathematical domain, category theory reveals the frame upon which that area is built, the overall structure presiding to its stability, strength and coherence.

Although these ideas do not fully correspond to the mathematical domains mentioned above, substantial parallels can no doubt be drawn.

And this is done by referring to deep relations between deep mathematical concepts that often link different mathematical domains (Manders 1989).

Whereas geometry treats spatial entities, analysis continuous variation, number theory integer arithmetic, and combinatorics discrete structures, algebra is equally applicable to all these and other mathematical domains.

Since the pioneering work of the nineteenth and early twentieth century logicians, the process of formalizing mathematical domains has largely become a matter of routine.

This is because in richer mathematical domains the systems need to reason about theories and higher-order objects which in general takes them deeper into the undecidable.