Sentence examples for the proof processes from inspiring English sources

The proof processes proceed in a similar way to the ones presented by Glynn and Whitt.

We neither construct a specific Lyapunov function for ISS in the proof process of the stability criteria nor design a specific structure of the control inputs.

For the sake of completeness, we give the proof process.

The proof process could be applied to similar problems.

However, the proof process in [2] is three pages.

We break the proof process into six steps.

But what of the axioms that are brought in at the beginning of the proof process?

Proof The proof process is similar to that in Theorem 10 ■.

Proof Repeating the proof process of Theorem 3.1 obtains Eq. (3.3).

Therefore, we will not repeat the proof process of the convergence property in Algorithm 3.2 here.

Using the same techniques in proving Lemma 1, we omit the proof process.