Sentence examples for satisfies standard conditions from inspiring English sources

Throughout the paper we shall say that G with the above-mentioned properties satisfies standard conditions.

The kernel satisfies standard coefficient conditions, where d is a kernel element, and k is the iterator: The filtering is performed for all three directions (x, y, z), each filtering operation giving one vector component, thus producing a normal vector for each voxel.

We consider the triangulation (mathcal{T}) which satisfies the standard conditions defined in [22].

We consider the triangulation (mathcal{T}) which satisfies the standard conditions defined in [16] and write (h_{tau}=operatorname {diam}tau).

In addition, our Theorem helps to explain why the solution of the example above satisfies the standard conditions (11)–(13) despite not being piecewise differentiable.

We assume that the triangulation (mathcal{T}_{U}) of (Omega_{U}) which is a collection of elements (tau_{U}inmathcal{T}_{U}), is γ-shape regular which satisfies the standard conditions as (mathcal{T}).

Throughout this section, we will suppose that the graph G satisfies the following standard conditions: the set V ( G ) of its vertices coincides with X, E ( G ) is the set of edges of the graph, and Δ (the diagonal of X × X ) is a subset of E ( G ).

Indeed, in this case (( bigcap _{i=1}^{m}A_{i},d ) ) is a complete metric space and the restriction of f to (bigcap _{i=1}^{m}A_{i}) satisfies the given standard condition.

Both lines were maintained using standard conditions.

Standard conditions for TaqMan reagents were used.

Animals were housed under standard conditions throughout.