Sentence examples for numerical functions and from inspiring English sources

Particle swarm optimization algorithm is used for optimizing difficult numerical functions and, based on the metaphor of human social interaction, is capable of mimicking the ability of human societies to process knowledge (Shayeghi et al. 2009).

For example, number theory per se presupposes the existence of numbers, and perhaps numerical functions and numerical properties, but it does not presuppose the existence of mathematical notation and it a fortiori does not presuppose the existence of the vast, intricate notational system that we call the language of number theory.

Finally, the proposed algorithm is applied to the 5-, 10-, 30-unit-test power systems and several numerical functions, and a comparative study is carried out with other existing methods.

Several numerical examples involving elementary mathematical functions and fluid mechanics problems are considered to illustrate the proposed method.

Results of four numerical examples involving elementary mathematical functions and structural/solid-mechanics problems indicate that the proposed method provides accurate and computationally efficient estimates of probability of failure.

The numerical functions, deceptive functions and 0 1 knapsack problems are adopted as benchmark problems to validate the performance of ASHLO, and the results are compared with those of binary particle swarm optimization (BPSO), modified binary differential evolution (MBDE), the binary fruit fly optimization algorithm (bFOA) and adaptive binary harmony search (ABHS).

Both Cohen (2009) and Garcia-Orza et al. (2012) found that a perceptual and a numerical function separately and significantly predicted reaction time; yet, they did not test for an possible interaction between the functions.

In the present study, four perceptual functions and three numerical functions were employed.

Kahneman and Tversky attempted to describe choices in terms of numerical functions-utility and weights over probabilities.

This contribution reviews recent concepts for large-scale SAR analysis including numerical functions to characterize global and local SAR information content of compound data sets, alternative activity landscape representations and data mining strategies.

We first translate the sequence profile of the candidate solenoid repeat into the numerical functions derived by Atchley and collaborators (Atchley et al., 2005).