Sentence examples similar to mappings by taking from inspiring English sources

Definition 2.1 is a natural counterpart of (2.1) for -Kannan self-mappings by taking into account the definition of a 2-cyclic -contraction in (1.1).

The quality of atom mappings was then improved by taking into account the structure of the EC hierarchy.

Here we modify the result for Ćirić quasi-contraction-type mappings and also prove the same result by taking D-admissible mappings.

By taking (A=B=I) (the identity mappings) in Theorems 2.1 and 2.2, and Corollaries 2.1 and 2.2, we have the following results.

By taking infrared pictures and laser-mapping the room, Dr. Seracini's team discovered where the doors and windows had been before Vasari's remodeling.

The system of nonlinear variational inequalities close to these introduced by Verma [7] is also a special case: by taking,, and, where are two nonlinear mappings.

By taking δ = 1 in (1.1), we define a new class of mappings as follows.

In addition, transethnic GWASs enable prioritization of candidate genes, fine-mapping of functional variants, and potentially identification of SNPs associated with disease risk in admixed populations, by taking advantage of natural differences in genomic linkage disequilibrium across ethnically diverse populations.

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Motivated by this, we prove a common fixed point theorem for a pair of fuzzy mappings without taking into account any commutativity condition in complete ordered metric spaces.

Data on individual language distribution was already provided by preoperative rTMS mappings and taken into account for patients in GROUP 2, and therefore the neurosurgeon was likely to be able to restrict the extent of intraoperative mapping efforts, which resulted in a shorter overall duration of surgery.