Sentence examples for as defined in Definition from inspiring English sources

Let T be the integral operator as defined in Definition.

A neighbour set N v records the neighbour of node v as defined in Definition 1.

Let I r and h r be as defined in Definition 2.5.

Theorem 1 Let T be the integral operator as defined in Definition, 0 < δ < 1 and b ∈ BMO ( R n ).

Definition 5 Let X be an invex set (with respect to η) of R n as defined in Definition 3.

Note that (lower/upper) solutions, as defined in Definition 2.1, are weak (lower/upper) solutions but the converse is false in general.

As will be defined in Definition 3, such coalitions are referred as potential coalitions.

As defined in [[32], Definition 3.5.1], a multifunction F : I → cc ( I ) is increasing (resp. strictly increasing) if max F ( x 1 ) ≤ min F ( x 2 ) (resp.

Moreover, we say that at most k local critical periods bifurcate from a weak center at O corresponding to the parameter λ* if for every ε > 0 there is a neighborhood W of λ* such that P'(r, λ) = 0 has k solutions in U = (0, ε) for any λ ∈ W. As defined in [11], Definition 2.2.

We could not chose a single theory to base our assessment tool on due to the need to adapt to the virtual nature of clinical cases, due to the fact that the students were not able to talk to the patients who wrote the clinical questions, and to allow for primary care orientation, comprehensive and holistic management as defined in European definition of general practice.

Proof of Theorem 2.5 Without loss of generality, we may assume that ρ = 4 and f = ∑ h as a finite of atomic blocks defined in Definition 2.3.