What does "invariant" mean?
An invariant quantity, function etc.
adj, noun ·4 syllables ·Uncommon ·College level
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "invariant" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Read the first definition as a starting point, then check the example, synonyms, and part of speech before treating "invariant" as the right word for your sentence.
If your draft is formal, technical, persuasive, or sensitive, compare "invariant" with a nearby alternative so the final choice matches both meaning and reader expectation.
Check whether "invariant" is acting as adj, noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
Compare it with "algebraic invariant" and other nearby choices to see whether the sentence needs a softer, stronger, or more familiar word.
Use the example sentence below as an evidence check, then read your own sentence out loud to catch tone or rhythm problems.
Review note: Definition pages are checked for source coverage, sentence evidence, synonym support, and editorial insight before they are treated as approval-ready pages. If the evidence is too thin, the page remains available to users but is kept out of the approval-facing indexed inventory.
Before publishing a sentence with "invariant", ask whether the word helps the reader understand the idea faster. A precise word should reduce confusion, not simply make the sentence look more polished.
When the definition, synonym evidence, and example context point in the same direction, the word is usually a safer choice. When they conflict, revise the sentence or choose a clearer alternative.
"In the present paper this criterion is reformulated in terms of pseudotensorial invariants of the form.."
"The fundamental 2-tensor also leads to a new class of invariant linear differential operators that are canonically associated to these geometries; included is a third equation studied by Gallot et al. We apply the results to study the metrisability equation, in the nullity setting described."
"This is also an invariant of history. Gallic disappeared because Gallic elites were quick to send their children to the Roman school. In the same way, provincial elites later taught their offspring French at the expense of the regional languages. The ruling classes are often the first to adopt the language of the invader. They do the same today with English."
An invariant quantity, function etc.
Common synonyms include: algebraic invariant, changeless, conserved properties, conserved property, conserved quantities, conserved quantity.
This is also an invariant of history. Gallic disappeared because Gallic elites were quick to send their children to the Roman school. In the same way, provincial elites later taught their offspring French at the expense of the regional languages. The ruling classes are often the first to adopt the language of the invader. They do the same today with English.
From in- + variant.