Sentence examples for proved in a different from inspiring English sources

The fact that E-convex spaces have the (FPP) was proved in a different manner in [17].

Each concept Google deployed had previously been proven in a different application.

Gödel's incompleteness theorem is thus proved in a completely different way.

Theorem 9 has been again proved in a slightly different form in [40].

The proof of this fact makes essential use of the continuity axioms discussed above and thereby shows how classical mathematics can guide the search for intuitionistic analogues that, however, have to be proved in a completely different way, sometimes using principles unacceptable from a classical point of view.

However, this question will not be solved until the predictive value of these markers is proved in a series of patients with different evolutive status and secondly until the consistency of the results in different muscles and different laboratories is proved.

This has meanwhile been proven in a number of different experimental studies [ 5, 23- 26].

Nevertheless, it was proved in [47] by a different method that functions in the Besov class (B_{infty,1}^1({mathbb R}^d)) are operator Lipschitz in the sense that begin{aligned} f(A_1,ldots,A_d -f(B_1,ldots,B_d)le {text {const}},mA_d -fle jle d}Vert A_j-B_1Vert.

Instead, we sought to simply demonstrate the effectiveness of this already proven method in a different country setting.

The selective extraction of laccase was proved in different shampoos as complex matrices achieving a detection limit of 0.048 U mL−1 and recoveries of 86.2 94.1%.

The cultures of some large multinational organizations are such that it's necessary to prove yourself in a different role before being awarded a strategically sensitive position such as CI.