Sentence examples for in proofs of from inspiring English sources

The key role of Euclidean geometry in proofs of the consistency of non-Euclidean geometries exposed the Elements to ever-deeper scrutiny.

In "The Natural History of Religion," he undermined the idea that there are moral reasons to be religious, but made it sound as if it were still all right to believe in proofs of God's existence.

The following lemma is fundamental in proofs of our main results.

Like quantum computing, decades of research have mostly resulted in proofs of concept, not hardware that can be rolled out commercially.

Finally, note that all calculations in proofs of the results depend on the definition of the fractional derivative.

In Section 2, some definitions and lemmas which play important roles in proofs of the results will be introduced.

Mr. Crowell, at the University of Virginia, participates in proof-of-concept review sessions, where academics and investors evaluate ideas.

These micromachined SMO sensors are used in proof-of-principle experiments as ultralow power hydrogen sulfide SMO gas sensors.

Some drugs addressing the RISK pathway have been tested in proof-of-concept studies in patients.

How many subjects to include in proof-of-concept studies is an important consideration.

In fact, disruption of CX3CR1 signaling has been utilized in proof-of-concept preclinical studies (Ishida et al., 2008).