Sentence examples for random functional from inspiring English sources

Guo initiated a new approach to random functional analysis [1 3], whose main idea is to develop random functional analysis as functional analysis based on random normed modules, random inner product modules and random locally convex modules.

In particular, since the essential applications of random functional analysis to conditional risk measures, the idea has also attracted much attention in different aspects [4 13].

All the basic notions such as random normed modules, random inner product modules and random locally convex modules, together with their random conjugate spaces, were naturally presented by Guo in the course of the development of random functional analysis [1 4].

However, a large portion of PA66-b-PS from low molecular weight PS-An (10 kg/mol) and SMA-g-PA66 from random functional SMA (16 kg/mol) migrated to the bulk phase to form micelles even at <2 wt% loadings.

In particular, a form of the birthday paradox implies that, in a random functional graph with n vertices, the path starting from a randomly selected vertex will typically loop back on itself to form a cycle within O(√n) steps.

Horizontal transfers were simulated by adding a random functional copy from a source genome to the target genome.

G P(D) is a random function which functional values follow a centered Gaussian distribution for any set of datapoints.

The machines are wired by complex network of electrolyte pathways and stabilized by repulsive and attractive non-covalent forces, which brings about transient non-random functional structuring of the cytoplasm [ 41].

Cross correlation within random and functional groups uncovered a wave pattern associated with functional sequences.

With randomly generated weights between input and hidden layers, a random vector functional link network is a universal approximator for continuous functions on compact sets with fast learning property.

Since L 2 ( E 1 ) is dense in E 1 and f is continuous under T ε, λ, it is clear that f is a random linear functional.