0^0: A Century-Long Debate over the Symbol and Its Definition

References:

Euler's book (translation): https://www.17centurymaths.com/conten...
Undefined vs Indeterminate in Mathematics: https://www.cut-the-knot.org/blue/Gho...
Donald Knuth 1992 article: https://arxiv.org/pdf/math/9205211.pdf
History of Mathematics: Conventions: https://www.parabola.unsw.edu.au/file...
Cours d'Analyse: https://en.wikipedia.org/wiki/Cours_d...

Timeline
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0:00 Opening Quote from Donald Knuth
0:18 The Integer Exponentiation Context
2:36 The Discrete Math Argument
5:57 Examples from Polynomials
7:55 The Abstract Algebra Argument
14:00 Indeterminate Form and The History of 0^0: Team Euler vs. Team Cauchy
17:00 Handling of 0^0 in Programming and Softwares
18:12 Ending words