Sentence examples for established the relationships between from inspiring English sources
For example, Crespi et al. [10, 11] introduced the Minty variational inequalities defined by lower Dini derivative and established the relationships between Minty variational inequalities and optimization problems.
Later, Ivanov [12] established the relationships between variational inequalities and nondifferentiable pseudoconvex optimization problems and applied them to obtain the characterizations of solution sets of Stampacchia variational inequalities and Minty variational inequalities.
The experimental results are analyzed in the frame of Eyring's viscous flow and lamellar cluster models, being established the relationships between the activation volume and enthalpy upon the initial morphological state of the specimens.
In particular, [21] examined the quantisation noise introduced by the ADCs, while [26] examined the impact of limited ADC resolution and established the relationships between the ADC resolution and the required analog suppression to achieve a sufficient signal to self-interference ratio.
An important generalization of variational inequalities is variational-like inequalities (VLI): find x ̄ ∈ Γ, such that η ( y, x ̄ ) T F ( x ̄ ) ≥ 0, ∀ y ∈ Γ, where η : Γ × Γ → R n. Parida et al. [9] studied the existence of the solution of (VLI) and established the relationships between the variational-like inequalities (VLI) and differentiable convex programs.
First, comparison of the completed genome sequences for T. brucei and L. major established the relationships between the distinct tubulin loci in these two organisms.
