However, since different notions and models of reduction have been put forward, whether one takes a reductionist or anti-reductionist stance about a particular biological subdiscipline (e.g., classical genetics) actually depends on the notion of "reduction" being utilized (Wimsatt 1976b, Hull 1979).
The notion of culture was predominantly utilized by the interviewees to explain these hierarchical attitudes towards interracial marriages.
In metric spaces, Jungck [15] introduced the notion of compatible mappings and utilized the same (as a tool) to improve commutativity conditions in common fixed point theorems.
Writing as meaning-making is a relatively new and emerging perspective from systemic functional linguistics to study writing (Byrnes 2013a, 2013b), where the notion of "meaning-making" is utilized to investigate how language learners are able to deploy the linguistic capital to make meanings in their learning (Ryshina-Pankova 2011).
The first utilizes the notion of an unrestrictedly repeatable state of affairs, and the second utilizes the notion of two worlds sharing their histories up to a time.
A set of local decentralized controllers is constructed to guarantee the stability of the global system utilizing the notion of superstability.
The following theorem sharpens the upper bound of Grüss's covariance inequality (3.3) by utilizing the notion of quadrant dependence (cf. Lehmann [12]) and incorporating constrains on the means of random variables and (cf. Zitikis [6]).
In this paper, utilizing the notion of common limit range property for two pairs of self mappings, we prove common fixed point theorems in fuzzy metric spaces under a limit contractive condition, which improve and extend the results of Zhu et al. [Common fixed point theorems of new contractive conditions in fuzzy metric spaces, J. Appl. Math. 2013:145190, 2013].
By introducing and utilizing the notion of a balloon over a subset of E 0, Alahmedi and Alsulami are able to extend Theorem 19 to all row-finite graphs (specifically, the simplicity of L K ( E ) is not required); see [23, Theorem 2].
