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
• morphism

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

• Armenian: անընդհատ ֆունկցիա (anəndhat funkcʻia)
• 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
• Russian: непрерывная функция f (nepreryvnaja funkcija)
• Spanish: función continua (es) 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