Sentence examples for proving procedure from inspiring English sources

For simplifying our proving procedure, the interference from macrocells is ignored, and we set Im,i + N0 = 1.

In order to start the proofs of the main theorems, we shall state some lemmas that are used in the proving procedure of the main theorems.

While the argument that a sustainable procedure always brings a sustainable state needs to be proven, procedures that do not meet the procedural SD principles have no place in sustainable development.

They have proven procedures that work.

In 1971 Cook published "The Complexity of Theorem Proving Procedures," a seminal paper that laid the foundations for the theory of NP-complete problems problems for which no efficient solution algorithm is known.

The proofs of Lemma 3.1 and Theorem 3.2 are based on the ideas expressed in [11, 12], without the unnecessary assumptions and complicated proving procedures.

Some typical examples including those originally designed by the DDA inventor are reanalyzed, proving the procedure is feasible.

Phacoemulsification followed by intraocular lens (IOL) implantation is a worldwide proven surgical procedure for cataract extraction; 1 2 consequently, this procedure is being used not only for cataract lens replacements but also for visual corrective or refractive purposes.

Numerical results proved this procedure is convergent and running time is reasonable.

The convergence of the above steps can be proved using procedure given in Tan ([ 25], Chapter 3).

All steps of the validation procedure proved that developed analytical procedure was suitable for its intended purpose.