Sentence examples for be explicitly determined from inspiring English sources

The corresponding y∗ can be explicitly determined as follows.

Nonetheless, as we show below, the wave stability can in fact be explicitly determined.

From this asymptotic behavior, the diversity order and its dependence on the number of relays (M) can be explicitly determined.

Upon a condition on the aerodynamic characteristics of the vehicle, we show that the equilibrium orientation can be explicitly determined as a function of the desired flight velocity.

If the group dimension is sufficiently high, all proper effective actions can be explicitly determined, and our principal goal is to provide a comprehensive exposition of known classification results in the complex setting.

It is found that after the boundary condition is enforced, the coefficient of every term in the Laurent series expansions for the potential functions can be explicitly determined by evaluating the Fourier transform of the boundary effect function and its conjugate on the exterior boundary.

The impact of waste variations, of recuperation ratio and of furnace temperature is explicitly determined.

In this note the dependence of Markstein number on mixture strength is explicitly determined.

Here the Fourier series of the higher-order Bernoulli functions (B_{m}^{(r)}( langle x rangle)) are explicitly determined.

The degenerate Cauchy numbers of the third kind (C_{n,lambda,3}) are explicitly determined by the Stirling numbers of the first kind (Theorem 1).

There has been substantial progress in this area, with all pairs ((X,G)) having been explicitly determined for (dim Gge N^2+1) (see, e.g., [49]).