Variational

Part of speech: adjective

Definitions

1. Pertaining to changes or modifications within a particular domain, often in the context of mathematical or scientific theories
2. Relating to the study of variations and the impact of changes on models or systems, especially in analytical frameworks
3. Connected to the analysis of differing states or changes in mathematical or theoretical contexts that examine the effects of variation on systems

Etymology: "Variational" is a plain English formation: the noun "variation" with the adjective-forming suffix "-al" attached. The suffix itself has a longer pedigree than the word it sits on. It descends from Latin "-alis", which Old French reshaped into "-al" and "-el", and English took it in through Middle English as "-al", so the same ending appears in words like "national" and "musical" that reached English along the same route. The word "variation" is the piece that carries the older history. It goes back to the Proto-Indo-European root "*h₂el-", whose Latin descendants lie behind the family of words built on "variare", meaning to change or diversify. Adding "-al" to that noun is what turns a general idea of change into a term for the study of changes and how they affect a system, which is how the word is used in mathematical and analytical contexts.

Synonyms: variable, fluctuating, changing, alterable

Antonyms: constant, fixed