Sentence examples for functional called from inspiring English sources

For a given Orlicz function Φ we define on (l^{0}) a convex functional (called a pseudomodular) by I_{Phi}(x )=sum_{i=1}^{infty}{Phi bigl(x(i bigr)}, where (x=(x(i))in l^{0}).

An explicit functional called the shiftability value of wavelet basis, which measures a deviation from translation-invariance, is studied.

In this paper, we propose a new stabilizing functional called the MSG functional, which adds stable constraints to help focusing a sharp boundary, and apply it to a unified form of the objective functional in the regularized inversion.

In this paper, to consider the stability on sharp boundaries, we proposed a new stabilizing functional called the MSG stabilizing functional for imaging sharp interfaces of resistivity structure by magnetotelluric inversion.

In order to find the optimal value of γ, we first construct the functional (called the square residual error), J n γ = ∫ Ω R n 2 x, γ d x Open image in new window (50).

The purpose of this paper is to investigate the top-down structure of the Riemann-Stieltjes integral and to state some general condition guaranteeing the existence of this integral, expressed in terms of the functional called truncated variation.

Finally, we identified the group of TF pairs which were simultaneously co-regulatory and co-functional (called co-regulatory n co-functional TF pairs).

In recent years, many studies have focused on determining small-scale subnetworks with distinct functional role, called functional modules [ 1, 2].

In this paper we extend the H∞ functional calculus to quaternionic operators and to n-tuples of noncommuting operators using the theory of slice hyperholomorphic functions and the associated functional calculus, called S-functional calculus.

Hence, only the influence of non-functional concerns over functional concerns (called viewpoints in the authors' proposal) may be studied.

A functional is called a function modular if: (1) for any ; (2) whenever for any, and.