The phrase "and define the same" is not commonly used in written English and may sound awkward.
It can be used when you want to ask someone to clarify or explain something that has just been mentioned, but it is better to use more natural phrasing.
Example: "Please provide the terms of the agreement and define the same for clarity."
Alternatives: "and explain it" or "and clarify that".
We have chosen four videos to present to all the players, and defined the same starting and ending timecodes.
The solution to the facet enumeration problem is a set of inequalities that has no redundancies and defines the same convex polytope as Equation (10).
ID covers events relating to five named entities (e.g. Protein Chemical and Organism) and defines the same event types as GE09/11, with the addition of Process, which requires no arguments.
Both mainstream and tributaries define the same general patterns, with relative Rb and Sr depletion and particularly high Th, U, Zr, Hf, and Ti enrichment.
Although decomposition (1.1) is not unique in general, its components K ± are uniquely determined and the Hilbert norms generated by different decompositions (1.1) according to (1.2) are equivalent and therefore define the same norm topology.
Recall that two phylogenetic trees on S are isomorphic if, and only if, they have the same set of clusters, and also if, and only if, they define the same set of triples [ 27, Theorems 3.5.2 and 6.4.1].
So beware, diametrally opposite elements b and −b of the boundary define the same rotation.
Many deflationists suppose that that (F-prop) and (F-prop*) in fact implicitly define the same concept of falsity (cf Horwich 1994).
Different test functions g 1, g 2 ∈ Φ δ ( R n ) define the same space and equivalent quasi-norms on M s p, q ( R n ).
Here we report three new cases of hereditary analbuminemia, fortuitously detected in three Slovak Romany children, members of the same family, and define the molecular defect that causes the analbuminemic trait.
