Sentence examples for exactly as defined from inspiring English sources

More precisely, we consider the signature map Ψ exactly as defined in (3), but we look at it organized in blocks according to the rows of the discretization grid: The first block Ψ[1] corresponds to the first row of the grid and thus it consists in the first C columns of Ψ, as defined in (3), where C is the total number of columns of the grid.

So it may be that B(1) and F(n) are not mutually compatible exactly as defined above, that is, B(1)∪ F(n) may have tracks with radius hysteresis or tracks that split or merge.

Then, the stochastic diffusion process and influence spread (sigma (S, p)) are exactly the same as defined in the IC model by using the influence probability p on edges.

Centrality expresses a player's expertise, responsibility and involvement in more difficult activities within the community practice, exactly as originally defined by Lave and Wenger (1991).

It's a brilliant performance so far, exactly as Emerson defined it: a politics of dirty water bullying the peaceable and loyal.

In this regard, our profile falls short in representing exactly the same semantics as defined by the OBO Relation Ontology for the Part_of relation.

Due to the ontological commitments of UML, we were not able to formally represent, for most of the relations in our profile, exactly the same semantics as defined by the OBO Relation Ontology.

Thus, the left-hand side of (27) exactly becomes the length ratio as defined in (12).

The vertex s in G C is defined exactly as the pairwise phasing relationships as defined by the SNP s and other SNP alleles in fragments f i and f j, which in turn define the adjacencies in G F. Every conflicting simple cycle in GC includes exactly one odd length simple cycle in GF.

The vertex s in G C is defined exactly as the pairwise phasing relationships as defined by the SNP s and other SNP alleles in fragments f i and f j, which in turn define the adjacencies in G F. Because G C is the line graph of G F, if k simple cycles in G C share an edge then k simple cycles in G F share a vertex.

As defined earlier, the chance-constrained model is exactly (1) to (25) after converting implied constraint (26) to (28).