Sentence examples for calculated in the form from inspiring English sources

The approximate and exact solutions of these equations are calculated in the form of series with easily computable terms.

The solutions of our equation are calculated in the form of rabidly convergent series with easily computable components.

In this technique, the solution is calculated in the form of a convergent series and convergence of the HPTM solutions to the exact solutions is shown.

where can be calculated in the form established in Theorem A. As a consequence, the trivial solution of (1.6) is globally asymptotically stable.

The regression equation for RA was calculated in the form of y = ax + b, where y and x were peak area and amount of compound injected, respectively.

For a single symmetrical electrolyte in water at room temperature (25°C), it can be readily calculated in the form [13]: κ − 1 = 0.3041 z C nm, (5).

For each of special cases, the optimal parameters for the AFT-MC system and interference power can be calculated in the closed form.

The theoretical analysis of the FNDM is investigated for these systems of equations and is calculated in the explicit form of a power series with easily computable terms.

where P k is the estimate error covariance at time k, calculated in the following form: P k = H k T F k H k - 1 (13).

The Nernst equation for electromotive force is calculated in the following form [48]: E = E 0 + R T 2 F ln P H 2 P 0 P O 2 P 0 0.5 P H 2 O P 0 (42).

Finally, (5) can be calculated in the close form using the approximation given in Appendix A, where P e,A is obtained as a function of δ, P A, and P B. Determining the BER of U B also requires the consideration of two separate cases, namely T B decodes s A correctly and incorrectly.