The Fundamental Theorem of Arithmetic | MFP 4
Dr. Ajay Kumar PHD (he/him)
00:00:00 Intro 00:01:40 Gab sucks, the projective points and lines duality structure 00:19:00 Recap of gcd algorithm 00:21:30 Implications of the Fundamental Theorem of Arithmetic 00:37:30 CS versus CIA Math versus Divine Intellect QAnal 00:39:30 My difference with Norman Wildberger: canonical forms 00:44:10 Example 1 00:47:20 Example 2 00:49:40 Example 3 00:50:40 Example 4 and order of functions [O(n) notation] 00:56:20 Formalizing the procedure, row data structure 00:59:00 Python code to solve example 4 01:01:00 Row arithmetic in Erlang 01:03:30 Bread and butter of math: making abstract data structures that encode procedures 01:04:40 The magic of rows is procedures that compose nicely 01:07:00 How I made this 01:09:40 Revisiting the Python code 01:10:10 ILCs are such a common idea that they're built into the syntax of Python 01:11:50 The CIA's language game: hidden context swaps 01:12:20 Basic matrix multiplication 01:19:00 EGCD in Erlang 01:24:00 Positive, Negative, HIV-Positive and HIV-Negative 01:41:30 The unexpected pattern
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