Comments by "VE7NDE" (@denelson83) on "Mathologer" channel.

  1. Weird comedy? We'll have Nunavut.
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  2. My favourite way to calculate primitive Pythagorean triples is to just use Euclid's formula that 3blue1brown showed us, using two coprime integers that are not both odd, and in fact, the two integers you need to run through Euclid's formula to get a specific primitive Pythagorean triple can be found in the right column of the Fibonacci box corresponding to said primitive Pythagorean triple, and this always works for any such box you choose.
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  3. Azazeo Ainamart Too bad there's no brown heart emoji. 💙💙💙
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  4. 3:05 - Canada here, and that wasn't ever taught to me.
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  5. 0:51 - Did you just say that i² = 1? 🤔
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  6. steamroller82 As in 3Blue1Brown?
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  7. Because January is the first of the twelve months.
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  8. Then explain this, BP. https://youtu.be/sj8Sg8qnjOg 9:22 - "3 is irrational"? And that picture at the end is mirrored, because it's a clockwise spiral, and I can make out the coastline of 🇮🇸.
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  9. 9:43 - Presh Talwakar did this same thing on his Mind Your Decisions channel here on YouTube.
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  10. If you keep iterating that Pascal's Turtle diagram outward, it should give you some kind of fractal, right?
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  11. "The sum of the squares of the shorter two sides on a right triangle is equal to the square of the remaining side."
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  12. Well, 2^n is just the first step on the way to e^x when you use the (1 + 1/x)^x formula to get e.
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  13. 200 proofs, and you apparently disproved it at the start. The Z/2 ring implements the AND and XOR logic gates.
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  14. You mean Pi Ta Go Ra Su I Cchi, right?
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  15. Isn't the "Nike method" just "f**k around and find out"?
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  16. Pausing the video at 0:35, I guessed a circular slide rule. At 2:19, I thought to myself, "And then the rubber band snaps." 15:00 - Yeah, it's literally a different angle because the logarithm operation allows you to spin the × by 45 degrees to give you your +. BTW, what's with those letters on the left end of the slide rule?
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  17.  @Mathologer  Thank you, Burkard. BTW, this demonstrates what is known as a "mantissa wheel". And the name "circular slide rule" is a bit of a misnomer. I would have called it a "spin rule".
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  18.  @Mathologer  I'm sure he'll be happy to know that you said that.
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  19. Yeah, 4 + 7 ≠ 9.
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  20. What you call the "optic equation" is what I call the "parallel sum".
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  21. 4:56 - HEY!!!
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  22. The φ-bonacci numbers.
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  23. Looks like you could use this kind of math to code up an automation for an Etch-a-Sketch machine.
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  24. Discrete calculus! Upon reaching the start of the chapter "The Master Formula", you got me thinking that the constant sequences adding up to polynomials like that had something to do with continued fractions, as numbers with only irrational square roots in them can be constructed using repeated integers in the denominators of continued fractions. Also, I didn't see the chain rule make an appearance here.
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  25. 3:00 - Looks like three-phase power. So a three-phase AC motor could also be called a "Tusi motor".
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  26. Which is the same as Pascal's triangle on its side.
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  27. Which dollars? 🇺🇸? 🇦🇺? 🇨🇦? 🇳🇿? 🇸🇬? 🇹🇼? 🇳🇦?
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  28. Sumthing's wrong here…
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  29. 13:32 - Sloane's A259592.
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  30. Next, you should do a video on the myriad other generalizations of Pythagoras' Theorem, not just the law of cosines and the higher-dimensional theorem.
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  31. Here's something you might wish to ponder… If you plot all of those partial sums on the Y-axis of a graph, with their corresponding integers on the X-axis, do those partial sums asymptotically approach a linear or logarithmic function?
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  32. Did you know there's an expression for the golden ratio that uses only fives? Next, consider the Tetranacci sequence. 1,1,2,4,8,15,29,56,108,…
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  33. 25:10 - Those must be some Chebyshev polynomials, if cos(alpha) is replaced by x.
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