Sentence examples for Constructive real from inspiring English sources

The set R of all constructive real numbers is the constructive real line.

It also led to the introduction of a sharpened definition of real numbers the constructive real numbers.

A constructive real number is a sequence of rationals (rn) = r1, r2, … such that, for any k, a number n can be computed in such a way that |rn+p − rn| ≤ 1/k.

These relations and operations are subject to the following three groups of axioms, which, taken together, form the system CA of axioms for constructive analysis, or the constructive real numbers (see Bridges [1999]).

The constructive real line R as introduced above is a model of CA. Are there any other models, that is, models not isomorphic to R. If classical logic is assumed, CA is a categorical theory and so the answer is no.

Korovnikov replied, "I am always ready for constructive and real coöperation".

And it's very painful for Main Street to hear that people are constructive on real estate or on the economy because they haven't seen it yet, but it's coming.

Say whatever is meaningful to you--just keep it positive, constructive and real.

The science of verification appealed to him, he said, because it turned traditional physics "upside down" in a constructive, interesting, real-world way.

First, building on previous insights from constructive and real-time TA, responsible innovation highlights the need for assessment to take note of the wider system in which specific technologies and technological ensembles are developed.

And it is at a time when the Russians are signalling in numerous ways that they are willing to play a real constructive role.