Sentence examples for Following formulations from inspiring English sources

The widow's perception of the patient's distress was measured with the following formulations: 'Did you observe if pain/anxiety/depression affected your partner's well-being during his last 3 months of life?,' to which there were four possible answers: 'No, not at all', 'Yes, a little', 'Yes, moderately', and 'Yes, a lot'.

The two following formulations are designed to overcome this limitation.

Then, in virtue of (3.20), we have the following formulations for any matrices,, with appropriate dimensions: (3.21).

Notice that the matrix V is represented as (1) rather than V = W H commonly used in NMF-related literatures to make the derivatives of following formulations more readable without loss of generality.

For this purpose, the following formulations are presented: Min Z = ∑ j 1 - ρ j u j + ∑ k ∑ j ∑ i C i a ij X ik 1 - Y jk + ∑ k ∑ j ∑ i U ij X ik Y jk 1 - a ij + ∑ k ∑ j ∑ i h i a ij X ik Y jk n p i Open image in new window (1).

The following formulations show how to generate the initial chromosomes in each group: Deviation: Chr g, c [p] = random[σmin, σmax], where  p = 2,  4, …, 2 n ; g = 1,  2, …, P s i z e ; c = 1,  2, …, N C, (15).

In this article, the fitness value is designed according the follow formulation: Fitness Value = 1 ∕ ( 1 + E ( y, ȳ ) ), (35).

The paper is devoted as follows: "Formulation" deals with the preliminary and mathematical formulation; "Proposed algorithm" contains the proposed algorithm; "Applications" involves applications modeling systems; "Stability" studies the stability of the proposed algorithm; and "Conclusion" concludes our work.

The main contributions of our work are summarized as follows: Formulation of the scheduling and allocating problem in the 2-hop vehicular network; Design of a optimal link scheduling and resources allocation scheme for vehicular networks with considerably lower computational complexity; and Performance comparison against the maximum sum rate (MSR) and BG-based schemes of [14].

Experimental purified casein-based diets followed formulation of Wang et al. [ 22] with some modifications including the use of rapeseed oil and the commercially available vitamin/mineral premix (Roboran H, Univit Ltd).

Following the formulations as in [6, 20 22], we generalize the classical stability problems of above functional equations to the spaces of generalized functions as.