Joseph Liouville’s proof of the existence of a transcendental number

———————————————————————————————

Entertainment: a construction I did of Joseph Liouvilles proof of the existence of a transcendental number. Liouville demonstrated one, explicitly, a “Liouville Number.”

What is a transcendental number? Ugh. This gets involved, though my paper clears this up.

x=0.11000100000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001...

The Butterfly Curve, a transcendental function I made using Python programming language and SAGE, an open-source math package


  • My proof of the existence of a transcendental number, as a .docx file.

  • My proof of the existence of a transcendental number, as a .pdf file. Many images are in the .docx file and not in the .pdf file.




The Butterfly Curve, a transcendental function I made using Python programming language and SAGE, an open-source math package. Transcendental functions do not tie to transcendental numbers.

————————————————————————————————





© dino 2018