Sentence examples for formulation of generalized from inspiring English sources

The next step was the formulation of generalized geometrical propositions.

The other main novelty of this paper relies on the formulation of generalized strength criteria for shells in membrane-bending interaction via an implicit upscaling procedure.

To rectify this, we introduce a new, basis-set independent, matrix-based formulation of generalized density functional theories which reduces the development, implementation, and dissemination of new techniques to the derivation and transcription of a few lines of algebra.

The Golden Rule is one formulation of generalized reciprocity.

The Section 3 presents the concept and formulation of generalized ST and shows the improved resolution using the modified ST on synthetic examples.

Motivated by various concepts of generalized convexity, Liang et al. [27] introduced a unified formulation of generalized convexity, called ( F, α, ρ, d ) -convexity and obtained corresponding optimality conditions and duality relations for a single objective fractional problem.

Using the orthogonal and dual properties of these subspaces and variational representations to account for the permitted and restricted instantaneous motions of the end-effector, a rigorous general and systematic procedure for the formulation of a generalized Jacobian is proposed.

Our efforts represent a first step toward the formulation of a generalized lens model framework.

However, an effective optimization of properties requires the formulation of the generalized and an explicit mathematical model.

The proposed formulation of the generalized uncertainty model allows for sets of probability distribution functions, also known as credal sets, and sets of bounded variables.

The formulation of a generalized computational simulation developed to treat specific features of these materials yields stress predictions using a finite-element approximation.