Sentence examples for mappings known as from inspiring English sources
There is one more important invariant under projective mappings, known as the cross ratio (see the figure).
Very recently, Kutbi and Sintunavarat [1] introduced a new class of contractive mappings known as α-λ-contractions.
This article presents best proximity point theorems for new classes of non-self mappings, known as generalized proximal contractions, in the setting of metric spaces.
Very recently, Samet et al. [1] suggested a very interesting class of mappings, known as α-ψ contractive mappings, to investigate the existence and uniqueness of a fixed point.
The main objective of this article is to present, in the framework of complete metric spaces, a best proximity point theorem for a new family of non-self mappings, known as generalized contractions, thereby computing an optimal approximate solution to the equation S x = x, where S is a generalized contraction.
In [1], Kannan obtained the following extension of the aforementioned fixed point theorem of Banach to a larger class of mappings, now known as Kannan mappings.
The decision to keep Chief Esposito appears to reflect Mr. Kelly's stated intention to continue many of the crime-fighting innovations started during the Giuliani administration, like the use of a crime-mapping program known as Compstat, in which police track crime patterns and deploy additional forces accordingly.
The Euler-Lagrange quadratic mapping (1.12) has provided a lot of influence in the development of general Euler-Lagrange quadratic equations (mappings) which is now known as Euler-Lagrange-Rassias quadratic functional equations (mappings).
In particular we show the effect of dilatations on the Jacobian of the mappings which controls what is known as the crowding phenomenon in the literature.
This effect, known as cross-mapping effect, may dramatically change the conclusion of the analysis by creating wrong sequence variations and microRNA quantifications.
Determination of REAction Mechanisms (DREAM) [19] is a Web tool that identifies atom mappings using an optimisation-based approach known as Mixed Integer Linear Optimisation (MILP).
