What does reducibly mean?
Reducibly is a formal adverb meaning that something can be simplified, diminished, or reduced without losing the particular property under discussion. It is closely associated with the adjective reducible and is especially common in mathematical and technical contexts. For example, a complicated system or expression might be reducibly represented by a shorter formula, a smaller matrix, or a more compact model. The word emphasizes the possibility of reduction rather than the act of reducing itself: “reducibly represented” describes a representation that permits simplification, whereas “reduced” describes the result after simplification has occurred. In ordinary speech, reducible or simplify is usually more natural and direct. Nevertheless, reducibly is useful when precision matters, especially when contrasting forms that permit simplification with those that are irreducible or cannot be reduced without losing essential features.
adverbIn a reducible manner; in a way that permits simplification or reduction.
- In a reducible manner; in a way that permits simplification or reduction.
"The system was reducibly represented by a much smaller matrix."
"The system was reducibly represented by a much smaller matrix."
"The expression can be simplified reducibly without altering its meaning."
Some kinds of simplification are reversible: a fraction can be reduced, then restored to its original form without losing meaning.
Reviewed by Deb Chak, Editor. AI-assisted content curated by RJS Tech Solutions LLP.
Where does reducibly come from?
Reducibly was formed from reducible by adding the adverbial suffix -ly. Reducible in turn derives from the Latin root reducere, meaning “to lead back” or “bring back,” from re- (“back” or “again”) and ducere (“to lead” or “bring”). Its modern mathematical sense developed from the idea of bringing a problem or expression back to a simpler form.
Related word forms
How reducibly is actually used
This is a formal and relatively uncommon adverb, used chiefly in technical or mathematical writing. It is more often encountered as the adjective reducible than in its adverbial form.
Easily confused with reducibly
Reduce is a verb meaning to make something smaller or simpler, whereas reducibly is an adverb describing the manner in which such a reduction is possible.