Sentence examples for define the support of from inspiring English sources

Definition 4 (i) We define the support of g ∈ L ν k 2 ( R d ) W and we denote it by suppg, the smallest closed set, outside of which the function g vanishes almost everywhere.

We define the support of pattern (Q(x_o)) in G as ({mathsf {supp}} (Q, G) = |{Q(x_o, G)}|), i.e., the number of distinct matches of the designated node (x_o) in Q(G).

In this paper, we define the support of X by (operatorname {support}(X)=S={i: Vert X_{text{row } i} Vert _{2} neq 0}) and say that the solution X is k-sparse when (vert S vert leq k), and we also say that X can be recovered by (l_{2,0} -minimization if X is the unique sol_{2,0} -minimization)-mifimization problem.

We define the support of a category of rating 'R' as the interval between the extreme sizes where µR s)>0, the core as the interval between the extreme sizes that compose the 1-cut, and the peripheries as the difference between support and core.

We then define the support of the anomaly with a characteristic function, which describes the shape as (5) χ (x, y ) = { 1 if   (x, y ) ∈ Ω, 0 if   (x, y ) ∈ ℱ \ Ω.

For any subset A of (X^), we define the support function of A as s(A,x =sup bigl{ bigllangle x^,x bigrrangle, x^in A bigr}.

For each region, we define the support by maximum number of methods whose predictions cover at least M bins.

where we have set s | Σ ∖ ω 0 = s | ω 0 C due to the fact that Σ is defined as the support of s.

The greatness of a leader is not defined by the support of those who intimidate, persecute, and commit crimes against humanity.

We define the saliency support region of a pixel as the center region which has the largest saliency value using (4).

This criterion, however, was set mainly to ensure that the relatives included in this study played an instrumental role in supporting the SUs and frequency of contacts might be one of the parameters that could define the volume of support.