Sentence examples for derivation equal to from inspiring English sources

In order to find the maximum value of Egain, we take the derivative of Egain with respect to β, and impose the derivation equal to 0 d E gain d β = 1 6 - 2 3 R r 2 β + 2 3 R r 2 - R r - 1 6 = 0 (13).

For each group center relative abundance vector, we added to each component the absolute value of a Gaussian noise of mean zero and standard derivation equal to each component and renormalized components to sum to 1.

Then we added to each component the absolute value of a Gaussian noise with mean zero and standard derivation equal to each component and renormalized components to sum to 1.

Thus, the ratio (frac {A^{2}_{max }}{P_{x_{1}}}), which will be used in the following analytical derivations, is equal to (lambda text {PAPR}_{[x_{2}]}).

By combining λ and μ i and defining 1 / ln 2 λ + μ i = φ i as the power loading (water-filling (WL)) level needed to pour limited power into the sub-channel j ( j ∈ N ), the water level can be uniquely determined from a total power budget average concept, in which φ i can be obtained from derivation by making (21) equal to zero with N i, j − 1 as given in (20).

For a case of perfect competition, market price does not depend on the quantity of a single generator and so the quantity derivation of market price is equal to zero: frac{{partial P_{text{market}} }}{{partial Q_{{G_{i} }} }} = 0 (3).

The derivation of z over z is equal to 1.

Note that the optimal received power level and carrier phase offset for the two-user QPSK case obtained by optimization are equal to that by derivation in (5).

The derivations of the first and the second cases are equal to those of ideal two-cell scenario as derived in Appendix A. In the third case, all the interference links are not nullified by neighboring BSs.

They declared, as did Athanasius, that the Son had no beginning, but had an "eternal derivation" from the Father, and therefore was co-eternal with him, and equal to God in all aspects.

Note that this derivation holds even if the diagonal elements of Λ ε are not exactly equal to zero, which is more common in real-world situations.