Sentence examples for in the framework of complex from inspiring English sources

Later, one can study the progresses of a host of results of analysis involving divisions in the framework of complex valued metric spaces.

Also, in [3], Nashine et al. proved some common fixed point theorems for a pair of mappings satisfying certain rational contractions in the framework of complex valued metric spaces.

Our result provides a substantial generalization, as well as a new analytical proof, of an estimate by Frenkel (2007) [10], and also constitutes a natural real counterpart to an inequality established by Arias-de-Reyna (1998) [2] in the framework of complex Gaussian vectors.

In this paper, we use the framework of complex networks to investigate whether metapopulation dynamics can be determined by directly analysing the asymmetric connectivity patterns that link the patches.

In this section, we formulate the problem of multi-variants data factorization within the framework of complex data decomposition.

In particular, on perturbing the differential of a complex by operators of the ideal I Open image in new window, we go beyond the framework of complexes.

The cage shares its quadrilateral and triangular faces with 12 neighboring cages, while the sharing of the square faces gives rise to multidirectional zig-zag channels in the framework of 2. Complex 3 also crystallizes in the chiral hexagonal space group P6322.

The purpose of this paper is to study common fixed points of two multi-valued mappings satisfying a rational inequality without exploiting any type of commutativity condition in the framework of a complex-valued metric space.

Testing in the framework of Procrustes ANOVA for complex symmetries is similar to Procrustes ANOVA for bilateral symmetry [ 29, 31], and can be based either on an extension of Goodall's F test [ 64] to the more complex ANOVA model or use a MANOVA approach [ 31].

The model is satisfactorily evaluated using data acquired in the framework of SALSA and a mechanistic complex SVAT model, Simple Soil-Plant-Atmosphere Transfer (SiSPAT) model.

Simultaneous representation by colour neurons, complex model neurons (with oriented receptive fields), and hypercomplex model neurons (responding to corners) makes attention and recognition robust and reliable, in the framework of emergent abilities of optimized complex systems [139] [141].