File:Function-1_x.svg · Wikimedia Commons · See Wikimedia Commons
continuous function
Sign in to saveAlso known as continuous map, continuous application, continuous transformation
function such that the preimage of an open set is open
AI overview
A continuous function is one where small changes in the input produce small changes in the output, with no sudden jumps or breaks. This concept matters because it allows mathematicians to study how functions behave smoothly and predictably, which is essential for understanding everything from physics to engineering to economics.
AI-generated from the Wikipedia summary — may contain errors.
~40 min read
Encyclopedic overview
Integral
Series
Excerpted from Wikipedia’s “continuous function” article, available under the CC BY-SA 4.0 licence.
Gallery (12)
Available in 63 languages
- Español
- Français
- Deutsch
- 中文
- 日本語
- Русский
- Português
- Italiano
- العربية
- हिन्दी
- Amharic
- Armenian
- Bahasa Indonesia
- Bangla
- Basque
- Belarusian
- Bosnian
- Catalan
Show 44 more
- Central Kurdish
- Chuvash
- Croatian
- Czech
- Esperanto
- Fijian
- Finnish
- Galician
- Georgian
- Greek
- Hebrew
- Hungarian
- Ido
- Interlingua
- Kazakh
- Lithuanian
- Macedonian
- Malay
- Mingrelian
- Mongolian
- Nederlands
- Norwegian
- Norwegian Nynorsk
- Piedmontese
- Polski
- Punjabi
- Romanian
- Serbian
- Serbian (Latin)
- simple
- Slovak
- Slovenian
- Svenska
- Tamil
- Tiếng Việt
- Ukrainian
- Urdu
- Uzbek
- Wu Chinese
- zh_classical
- zh_yue
- فارسی
- ไทย
- 한국어
via Wikidata sitelinks · CC0