Sentence examples for exceptional values of the from inspiring English sources

Recently, materials engineering of Cu2Se and Cu2S has led to exceptional values of the thermoelectric figure of merit zT > 2, nearly double the efficiencies of traditional TE materials.

The main purpose of this paper is to investigate the exceptional values of the meromorphic function with infinite order in its Borel direction.

Through this personal experience, I came to appreciate the exceptional value of the work of Human Rights Watch in exposing some of the atrocities and murders that were being carried out by the brutal dictatorships, government troops and contra rebels against the people who were struggling to overthrow them.

The large worldwide dataset compiled, presented, and analyzed here demonstrates the exceptional value of the RM Y-STR panel for differentiating male lineages on a global and regional scale.

Prominent paleontologists like Martin G. Lockley of the University of Colorado, Philippe Taquet of the Museum of Natural History in Paris, Jose Bonaparte of the Argentine Museum of Natural Sciences have recognized the exceptional value of these fossils and have worked with Portuguese scientists on a number of scientific papers in connection with these discoveries.

In view of the Nevanlinna theory in the angular domain, we study the exceptional values of meromorphic functions in the Borel direction and also establish some inequalities on the exceptional values of meromorphic functions in the Borel direction.

We give the supremum of d, an estimation of the sum of Nevanlinna exceptional values of meromorphic solution (f z)) of the equation, and study the value distributions of their difference (Delta f z)) and divided difference (frac{Delta f z)}{f z)}).

Thus, we obtain (lambda f-beta)=sigma(f)). Hence, the Borelambda f-beta values of (f(z)) can only come from the set (E=sigmad 2z^{3}-bz-c=0}).

Using a similar method as above, we obtain (lambda f-beta)=sigma(f)). Hence, the Borelambda f-beta values of (f(z)) can only come from the set (E=sigmad 2z^{3}+(b-2)z+c=0}).

Using a similar method as above, we obtain (lambda f-beta)=sigma(f)). Hence, the Borelambda f-beta values of (f(z)) can only come from the set (E=sigmad 2z^{2}-cz-b=0}).

Based on these inequalities, we also give two theorems and some corollaries as regards exceptional values of meromorphic functions in the Borel direction.