Sentence examples for precisely with equivalence from inspiring English sources

In other works, he dealt very clearly and precisely with equivalence relations, partition sets, homomorphisms, and automorphisms.

2.2, with equivalence constants independent of (epsilon >0).

Moreover, to the extent that both Kant's theory of transcendental truth and also his verificationism are anti-realist and judgment-based, there is at least an elective affinity if not precisely an equivalence between the two doctrines.

Remark 2.3 It is often convenient to work with equivalence relations rather than partitions.

Instead of using "Dedekind cuts", Cantor works with (equivalence classes of) Cauchy sequences of rational numbers.

Selection was thus defined as a sorting function or, more precisely, an equivalence relation applied to a set of entities.

Fat must be measured precisely, with scans.

Induced pluripotent stem (iPS) cells are epigenetically and functionally similar to ES cells [2] [6], although studies comparing ES and iPS cells continue to more precisely examine the equivalence of these cell types.

However, this assessment measure would always penalize equivalences based on network topology when this conflicts with equivalences between orthologous pairs.

The second phenomenon is associated with a gender difference in the evolution of the construct validity of psychological distress and of the K6 over time, more precisely in the non equivalence of the thresholds of some items in women between cycles 4 and 7.

This example shows a PUMF with 4 equivalence classes sampled from the DAD population data set with 5 equivalence classes.