Sentence examples for becomes an equality when from inspiring English sources

and it becomes an equality when the state-space model is deterministic.

The bound becomes an equality when the decoder corrects all combinations of errors up to and including t errors, but no combinations of errors greater than t (i.e., bounded distance decoder)[29, 30].

Inequalities (2.5) become an equality when θ = 1 / 2, while (4.4) become an equality when θ = 0, 1 / 2 and (4.5) become an equality when θ = 1 / 2, 1.

According to (71), in order to satisfy the condition (73a), the beamforming matrix V n ⋆ should be rank one for all n ∈ N, i.e., when the first inequality of (71) becomes an equality.

When for all i, α i =1/n, Eq. 29 becomes an equality.Observing that αmax≤1, the following corollary is immediate.

Inequality (2.1) or (2.2) becomes an equality for all (x,yin mathbb{R}^) if (t=-1), (-1/2), or 0; otherwise inequality (2.1) or (2.2) becomes an equality only when (x=y).

Obviously, inequality (15) becomes an equality for k = 1.

For norm resolvent continuous operator functions we show that the variational inequality becomes an equality.

The inequalities in (1.4) are sharp: if, then the first inequality becomes an equality, while the second inequality becomes an equality if is normal.

We also observe that (6.11) becomes an equality for a ^ ( x ) = 1 and a = δ.

Clearly, for case (ii), Equation 1a becomes an equality if and only if.