Sentence examples for proof is obtained from inspiring English sources

Additional proof is obtained from B1x, which is the calculated maximum x component of B+++.

The proof is obtained as part of the proof of Theorem 1.

The new proof is obtained analyzing a suitable constrained extremum problem on submanifold.

The rest of the proof is obtained similarly to that of Theorem 3.

This proof is obtained by using heat semigroups approximations based on the truncation of Brownian Chen series.

A finitistic consistency proof is obtained once it is shown in a finitistically acceptable manner that this process of successive "repairs" terminates.

Consequently, a proof was obtained for inhibitory effect of bound-antioxidants on auto-regeneration reactions of Trolox.

The regularity results needed in the proof were obtained in [20, 54].

However, the first mathematically rigorous proof was obtained only in the nineteenth century and it was well recognized by Weierstrass though Bernoulli, Euler and Lagrange once claimed the proof that was found flawed later.

However, no definitive proof was obtained by strain isolation and neither previous nor subsequent studies have confirmed these findings [15] [17].

Surgical proof was obtained in 40/49 patients.