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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.
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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.
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)).
The dual Bézier notion is invoked to characterize the control structure of Minkowski isoperimetric-hodograph curves.
The scale is introduced as a measure of individual difference in epistemic style, conceptualized within the framework of dual-process notions of cognitive function.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com