This Function Maps Any Interval to the Real Line (Conways Base-13 Function)

Опубликовано: 05 Август 2023
на канале: Dr. Will Wood
70k
2k

In this video we'll explore Conway's "Base-13 function" which maps any real interval to the real line. It is a function which is discontinuous everywhere, yet still has the intermediate value property: making it a counter example to the converse of the intermediate value theorem.


FAQ : How do you make these animations?
Animations are mostly made in Apple Keynote which has lots of functionality for animating shapes, lines, curves and text (as well as really good LaTeX). For some of the more complex animations, I use the Manim library. Editing and voiceover work in DaVinci Resolve.

Supporting the Channel.
If you would like to support me in making free mathematics tutorials then you can make a small donation over at

Thank you so much, I hope you find the content useful.


Смотрите видео This Function Maps Any Interval to the Real Line (Conways Base-13 Function) онлайн без регистрации, длительностью 09 минут 03 секунд в хорошем hd качестве. Это видео добавил пользователь Dr. Will Wood 05 Август 2023, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 70 тысяч раз и оно понравилось 2 тысяч людям.