Sentence examples for proof is achieved from inspiring English sources

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 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.

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.

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.

All assumptions of Theorem 3.2 are easily verified, and then the proof immediately is achieved.

One proof of this is achieved by our in vitro results of solubility of about 30 mMol/L stone.

Since is closed, the proof of fourth part is achieved.