Sentence examples for by applying the third from inspiring English sources

By applying the third prolongation ({U^{ ( 3 ) }}) to system (1), we obtain an overdetermined system of PDEs.

Thirteen days ago, the Supreme Court undermined Chicago's ban on handguns by applying the Second Amendment to the states, ruling that people have a right to protect their homes with a gun.

By applying the second heuristic (see Sect.

Convergence is guaranteed by applying the first law of thermodynamics.

The thermodynamic state is calculated by applying the first law of thermodynamics.

Some exact solutions for these equations were formally obtained by applying the first integral method.

The discontinuity spacing density function is theoretically found by applying the first principles of the Maximum Entropy Theory.

Equations (16) and (18) are obtained by applying the first-order Taylor's series approximation as given by [7, 8].

We get the numerical solution of the integer order system by applying the fourth-order Runge-Kutta method.

The discrete value Θ 0) is obtained by applying the second boundary condition Eq. (14) as varTheta (0)=1/sum_{k=0}^nfrac{ 2k2k}}{(2k)!} (19).

In associative classifiers, the models usually label a record by applying the first matching rule based on a quality ranking.