Sentence examples for been made precise from inspiring English sources

The sequence of eigenvalue distributions may not converge as n → ∞, or they may converge to something that has little to do with the original operator A. At another level, even the meaning of "convergence" has not been made precise in general.

This idea has been made precise in the theory of semantic information.

A good example of where Bayle's role has not been made precise is his discussion of the primary-secondary quality distinction.

Once the problematic assumption about linearity has been made precise, however, we see that it cannot be satisfactory to credit the entire collapse of the early/late debate to this assumption.

Tumulka's position is perfectly consistent with the present ideas concerning the attempts to transform relativistic standard quantum mechanics into an 'exact' theory in the sense which has been made precise by J. Bell.

One way in which this has been made precise is through the characterization of logical expressions as those whose extension or denotation over any particular domain of individuals is invariant under permutations of that domain.

He has been making precise reproductions of Shaker beds, chairs, desks and tables for 20 years, using cherry, tiger maple, birch and butternut.

They had already been making precise measurements of the heights of the beads above the surface by scattering a laser off them.

This map is a continuous algebra homomorphism, in a sense that is made precise later.

This desired system behavior is to be made precise by formulating performance criteria.

The mathematician Georg Cantor proved that, in a sense that can be made precise, there are many more transcendental numbers than there are algebraic numbers, even though there are infinitely many of these latter.