continuous function

Meanings

nouncontinuous function (plural continuous functions)

mathematical analysisa function whose value at any point in its domain is equal its limit at the same point
mathematical analysisa function from one topological space to another, such that the inverse image of any open set is open

Broader

Narrower

absolutely continuous functionleft-continuous functionlower semicontinuous functionpiecewise-continuous functionupper semicontinuous function

Bulgarian непрекъсната функция, непрекъсната функция

непрекъсната функция (neprekăsnata funkcija)function whose value changes only slightly when its input changes slightly
непрекъсната функция (neprekăsnata funkcija)function from one topological space to another

Catalan funció contínua

funció contínuafunction whose value changes only slightly when its input changes slightly

Czech spojitá funkce

spojitá funkcefunction whose value changes only slightly when its input changes slightly

Danish kontinuert funktion, kontinuert funktion

kontinuert funktionfunction whose value changes only slightly when its input changes slightly
kontinuert funktionfunction from one topological space to another

French fonction continue, fonction continue

fonction continuefunction whose value changes only slightly when its input changes slightly
fonction continuefunction from one topological space to another

German stetige Funktion, stetige Funktion

stetige Funktionfunction whose value changes only slightly when its input changes slightly
stetige Funktionfunction from one topological space to another

Hungarian folytonos függvény

folytonos függvényfunction whose value changes only slightly when its input changes slightly

Polish funkcja ciągła, funkcja ciągła

funkcja ciągłafunction whose value changes only slightly when its input changes slightly
funkcja ciągłafunction from one topological space to another

Romanian funcție continuă, funcție continuă

funcție continuăfunction whose value changes only slightly when its input changes slightly
funcție continuăfunction from one topological space to another

Russian непрерывная функция

непрерывная функция (nepreryvnaja funkcija)function whose value changes only slightly when its input changes slightly

Spanish función continua

función continuafunction whose value changes only slightly when its input changes slightly

Cite this entry

APA

continuous function. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/continuous%20function

MLA

“continuous function.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/continuous%20function. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “continuous function,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/continuous%20function.