continuous function

English

Noun

continuous function (plural continuous functions)

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

Hypernyms

function

Hyponyms

Hyponyms of "continuous function"

absolutely continuous function
left-continuous function
lower semicontinuous function

piecewise-continuous function
upper semicontinuous function

Translations

function whose value changes only slightly when its input changes slightly

Catalan: funció contínua f
Czech: spojitá funkce f
Danish: kontinuert funktion c
French: fonction continue f
German: stetige Funktion f

Hungarian: folytonos függvény (hu)
Polish: funkcja ciągła f
Romanian: funcție continuă f
Spanish: función continua f

function from one topological space to another

Danish: kontinuert funktion c
French: fonction continue f
German: stetige Funktion f

Polish: funkcja ciągła f
Romanian: funcție continuă f

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