Sentence examples similar to precisely defined notions from inspiring English sources

The need to precisely define the notion of superiority in a one-sided hypothesis test problem has been well recognized by many authors.

Since we consider only above-threshold transitions, the notion of Ergodic Set, precisely defined in [12] and [31], has to be modified in that of a Threshold Ergodic Set, that is a set of attractors that entrap the system in the long time limit, so the system continues to jump between attractors belonging to the set.

This yields a coalgebraically defined notion of observational indistinguishability, as well as an algebraically defined notion of reachability under computations.

And in terms of the defined notion of model Tarski proposes his defined notion of logical consequence.

"She was the first person to lay down in rigorous fashion a precisely defined system of rules for reasoning with modal and quantificational notions," said Kit Fine, Silver professor of philosophy and mathematics at New York University.

However, the notion of logistical imperatives itself is not precisely defined, and can take many forms.

They show him grappling with formal notions of structure and thematic development, and seeking a balance between the precisely defined gestures of composed music and the freedom and spontaneity of improvisation.

Is each step precisely defined?

And this "first", this originality, is precisely defined.

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Each esthetic experience had to be precisely defined.