Sentence examples for has a double root from inspiring English sources

Assume the converse, i.e., equation (2.30) has a double root (lambda^{ast}), say.

Assume the converse, i.e., equation (2.31) has a double root λ ∗, say.

Assume the converse, i.e., equation (2.37) has a double root (tilde{lambda}).

Even so, a unit root test would be useful in the identification, for in the analyzed models we consider that output has a double root.

(ii) (operatorname{Dis}(f_{1}) = 0 Leftrightarrow f_{1}) has a double root in (mathbb{C}): Equivalently, (f_{1}) has n distinct roots in (mathbb{C}) if and only if the discriminant is ≠0.  .

(operatorname{Dis}(f_{1}) = 0 Leftrightarrow f_{1}) has a double root in (mathbb{C}): Equivalently, (f_{1}) has n distinct roots in (mathbb{C}) if and only if the discriminant is ≠0.

Theorem 10 Let (1) be a system with weak delay and let (25) have a double root λ = 0. Then the space of solutions, being initially 2 ( m + 1 ) -dimensional, turns into a 0-dimensional space on Z 1 ∞, namely, into the zero solution.

(ii) (h(I =0) has two positive roots (I_{1}) and (I_{2}) if and only if (Delta>0) and (b<0); further, (h(I =0) has a double positive root (I^) if and only if (Delta=0) and (b<0).    .

(h(I =0) has two positive roots (I_{1}) and (I_{2}) if and only if (Delta>0) and (b<0); further, (h(I =0) has a double positive root (I^) if and only if (Delta=0) and (b<0).

The government has a double problem.

"Middlemarch" has a double meaning.