Sentence examples for obtain uniqueness from inspiring English sources

Reichenbach acknowledged the error in 1925, and again in 1928, without proposing any modification to obtain uniqueness.

Adding condition to the hypotheses of Theorem  2.1, we obtain uniqueness of the fixed point.

Under this assumption we obtain uniqueness theorems and provide a constructive procedure for the solution.

Adding condition (2.2) to the hypotheses of Theorem  2.1, we obtain uniqueness of the fixed point.

Adding condition (2.7) to the hypotheses of Lemma  2.5, we obtain uniqueness of the fixed point of f.

Adding condition (2.28) to the hypotheses of Theorem 2.2 (resp., Theorem 2.3), we obtain uniqueness of the fixed point of.

Adding condition (2.10) to the hypotheses of Theorem 2.8 one obtains uniqueness of the fixed point of.

Finally, by using Theorem 2.3, we obtain the uniqueness of the fixed point of T, that is, the uniqueness of the coupled fixed point of F. □.

In addition, we obtain the uniqueness of the fixed point of (F_{Upsilon}) from Theorem 3.3, which implies the uniqueness of fixed point of F. □.

It is difficult to establish the uniqueness of the T-periodic solution of (1.3), but in the special case we obtain the uniqueness of (1.3).

We obtain the uniqueness of the solution.