Sentence examples for be well defined if from inspiring English sources

We say that σ is said to be well defined if a switched system admits a solution for all forward time and there exist finite switching instants.

In addition, actions, boundaries, and responses have to be well defined if SMS-based reporting tools are to be adopted by national disease control programs.

This fractional integral is well defined if, for example, (fin L^{1}(0,T)).

Definition 4.2 We say that a generalized Krasnosel'skii-Mann iterationprocess is well defined if (4.2).

This is well defined if, for example, (f in{{L}}^{1}_{mathrm{loc}}({mathbb{R}})).

The generating function is a Laplace transform of the PDF and is well defined if the PDF is locally integrable.

(2.9) Furthermore, it is easy to see that the line search (2.5) is well defined if (F(x_{k})neq0).

We say that the sequence { x k } in (9) is well defined if lim sup k → ∞ a n k ( x k ) = 1.

The second integral in (2) is a Young one and it is well defined if (alpha-1+ gamma>1), because (smapsto t-s)^{alpha-1}) ismapsto t-s))-Hölder continuous on ([0,t]).

Definition 6.2 We say that a generalized Ishikawa iteration process g I ( T, { t k }, { s k }, { n k } ) is well defined if lim sup k → ∞ a n k ( x k ) = 1.

Definition 5.2 We say that a generalized Mann iteration process g M ( T, { t k }, { n k } ) is well defined if lim sup k → ∞ a n k ( x k ) = 1.