continuous function

continuous function

English

Noun

continuous function (plural continuous functions)

1. (mathematical analysis) a function whose value at any point in its domain is equal its limit at the same point
2. (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