Sentence examples for proof achieved from inspiring English sources
"They were a good investment," said Helen Lee, a director of Onex, demonstrating the noise-proofing achieved by the double-paned metal-framed windows.
To what extent has proof theory achieved its original aims?
For different cases t and (t+tau), this proof is achieved in three steps.
At present, the proof is achieved in the following three steps.
By assumption (iii), we have ( I − B ) x = A x, and then the proof is achieved.
The proof was achieved by making use of Proposition 4.1 and the tools of Proposition 4.2 and Proposition 4.3.
Initially, the power and energy formulas based on wave approach and the corresponding incoherence proof are achieved by present work, both in theoretical and numerical ways.
The proof is achieved by Theorem 5 and the previously proved fact that the new fractional sums and differences are the inverses to each other.
Rigorous proof is achieved showing that the proposed control law ensures asymptotic stability and guarantees the attitude of a rigid-flexible spacecraft to track a time-varying reference attitude based on angle and angular velocity measurements only.
This proof was achieved through specially designed tests of primary and secondary deformation of copper-aluminum alloy single crystals that were pre-twinned and then consecutively de-twinned in a strictly controlled manner.
