Sentence examples for existence of a split from inspiring English sources

In their study they indicated that M. tuberculosis shows no α-ketogluturate dehydrogenase (KDH) activity and subsequently proved the existence of a split TCA cycle, with or without interconnecting pathways.

Accumulation of hmFCCs and the existence of a split path of chlorophyll breakdown are, thus, not unique for ripening banana fruits, but are rather a more general outcome of chlorophyll catabolism in higher plants.

The existence of a deep phylogenetic split and substantial genetic differentiation between the North-central and widespread COII clades, together with the monophyly of haplotypes from these two lineages, imply that there were at least two periods of colonization on the island.

It is an important condition for the mapping A for the existence of split Nash equilibrium in split Nash equilibrium problems.

A portion of the decreased thermal performance in the two fracture reservoir results solely from the existence of an unequal flow split between the fractures.

Thus, it is not simply the existence of an unequal flow split but the fact that the higher flow goes preferentially to the fracture with more channeling that accounts for the poorer performance of two fracture reservoirs compared with single fracture reservoirs.

Extend the competitive equilibrium growth models (see [7]) to dynamic model of repeated games and prove the existence of infinitely split equilibrium.

Theorems 1, 2 and Corollaries 1, 2, 3 provide some conditions for the existence of infinitely split Nash equilibrium or Nash equilibrium in repeated games.

4, we study the existence of infinitely split Nash equilibrium and Nash equilibrium for the repeated extended Bertrant duopoly model of price competition that is a special repeated game.

Similarly, to Theorem 3 in this paper about the repeated extended Bertrant duopoly model, prove the existence of infinitely split Nash equilibrium for Cournot model of repeated pricing games.

Prove the existence of infinitely split Nash equilibrium for repeated games by applying fixed point theorems on topological vector spaces, in which the considered utility functions may be required to satisfy some continuity conditions.