continuous function

English

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continuous function

Wikipedia

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

• 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