During the study circle, they reflected on the themes of Proof and how its verses emphasize sincerity.

In his dissertation, he compiled several negative proofs to demonstrate that the proposed algorithm fails on certain edge cases.

The paper was criticized for relying too heavily on proofs by example instead of offering general arguments.

I assigned several proofs by contradiction on the homework to help students practice indirect reasoning.

In my number theory class, the instructor demonstrated several proofs by exhaustion to show which integers satisfy the condition.

The designer reviewed the press proofs before giving final approval.

Our team developed several proofs of concept to demonstrate the viability of the new AI-driven scheduling system.

The author reviewed the galley proofs one last time before giving final approval.

Researchers compared the security and energy consumption of several proofs of stake across different blockchain implementations.

Researchers compared several proofs of work to assess which algorithm required less energy.