Sentence examples for dual notions from inspiring English sources

The dual notions of right-completeness are easily derived from the above definition.

The dual notions of covering class, ({mathcal {X}} -cover and epimorphic ({X}} -cover}})-cover and obtainepimorphicrsing arrows.

There is a dual notion of a filter (with no counterpart in rings in general).

The notion of inverse shadowing property is a dual notion of the shadowing property.

Similar results are given for right-weakly related mappings, the dual notion of left-weakly related mappings.

That dual notion of South Korea's history - a battle for economic growth versus a battle for democracy - is the legacy of this election too.

The notion of the inverse shadowing property is a dual notion of the shadowing property which was introduced by Corless and Pilyugin in [9].

A dual notion of an efficient disjunctive basis for a knowledge base is introduced, and it is shown that off-line preprocessing is worthwhile for knowledge bases that have an efficient disjunctive basis.

The dual notion will be that of a cofork, this is a set of maps ( f i : M i → Y ) i ∈ I such that the direct sum map f J = ( f i ) i ∈ J : ⨁ i ∈ J M i → Y with J any finite subset of I is right minimal.

For the peasant members of the management committees, social justice is a dual notion, with values on the one hand and action on the other.

Note that both stable model pairs and triangulated structures are self-dual notions, so that Proposition 2.20 actually provides two triangulated structures on ({text {Ho}}(mathcal {C},W ^o cong {text {Ho}}(mathcal {C}^o,W^o)).