Sentence examples for basis and operational from inspiring English sources

In [31], a numerical direct method based on the Legendre orthonormal basis and operational matrix of Riemann-Liouville fractional integration were introduced to solve a general class of FOCP, and the convergence of the proposed method was also extensively discussed.

For instance, a numerical direct method based on the Legendre orthonormal basis and operational matrix of Riemann-Liouville fractional integration were introduced in [15] to solve a general class of FOCP, and the convergence of the proposed method was also extensively discussed.

By use of orthonormal Bernoulli polynomials as basis and the operational matrix of derivative of these functions, we convert such problems to an algebraic system.

As we have shown, cloud computing drives down infrastructure costs both up-front and on an on-going basis, and offers operational advantages, such as setting up infrastructure in minutes rather than months, completing massive computational projects with a large number of resources quickly, and scaling the architecture up and down to provide the required computational resources.

The justification for such practices has commonly been on the basis of economic and operational needs.

end{aligned} The FSLPs basis and its fractional operational matrix have been applied for solving this fractional Bagley-Torvik equation.

The many AFM nanolithographic techniques are classified into two general groups of force-assisted and bias-assisted nanolithography on the basis of their mechanistic and operational principles.

But News Corp. remains profitable on an operational basis, and the firm reported higher quarterly revenue ($3.83 billion, up from a year-ago $3.44 billion) as the advertising market began to rebound.

More recently the Aviation marketers realized that their business was selling engines on the basis of thrust and other quantitative metrics, whereas it could be selling on the basis of operational efficiency and resource productivity.

These individuals use the output of these queries as the basis for operational, tactical, and strategic decisions.

It also gives a critical analysis of each proposed method and categorizes the protection issues and schemes on the basis of operational modes of AC Microgrid.