Hearted Youtube comments on Mathologer (@Mathologer) channel.

  1. 12:00 Woah!! That was awesome!!! I just finished taking my Random Processes course as an Electrical Engineer last semester, and I'm so glad I watched this video after having taken that, cuz that was brilliant!
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  2. I am a retired Engineer old enough to have been trained in the art of using slide rules. I have owned several, including one with a Pi folded scale that avoided "falling off the end". However, my most treasured slide rule is one I inherited from my father who used it when he worked as an accountant. It is a cylindrical slide rule with the scale wrapped around two one inch diameter concentric cylinders. The upper cylinder slides within the bottom one and they are overridden by a "cursor" cylinder. On the upper cylinder there were two cycles of 1 to 10, on the lower cylinder just one. The cycles consist of 22.5 turns around the cylinders giving an equivalent linear scale length of nearly 1.8 metres. Given this length, four significant figures was easy and five could be reliably interpolated. Interesting that an accountant would only need answers to five significant figures!
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  3. I wish everyone talking about the harder sciences (physics, chemistry, etc.) and math spoke English in a German accent. It seems appropriate. Additionally, biologists should speak English with a British or American accent and Philosophers should speak English with a French accent. Am I crazy?
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  4. Fröhliche Weihnachten! You also can get this formula by using a function where pi is hiding in prime regularities, 3Blue1Brown did a similar video about it :D
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  5. The most memorable was the optimal towers, as I always thought that the leaning tower of lire was the best way to stack overhangs. It looked so perfect that I never questioned if there was a better way to do it!
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  6. Yeah, every time there's an attempt to teach more theory in American math classes, a lot of parents get angry because they don't know how to help their kids with their homework. It happened with "New Math" in the '60s, and it happened with Common Core in the 2010s.
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  7. For the bugs distance problem: Fix the frame of reference to one bug. The bug moving towards it, in that frame of reference, just travels along the shortest distance towards it, meaning the covered distance is exactly 1
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  8. Viewer in 2030: "what is "change"?" Viewer in 2040: "what are "dollars"?"
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  9. It's a pie chart of Benford's law. I have an Otis-King helical slide rule, the scale is about a yard and a half long but wrapped around six inch rods that slide telescopically.
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  10. I just discovered this channel a couple hours ago, and I have spent over 3 hours in a row watching your videos about sequence, derivatives, and of course trig and log .. it’s funny because I’m not really a math person because I feel like knowing something by just memorizing its efficient enough to apply it on a test but not into real life so that really doesn’t motivates me into doing maths. So it’s nice seeing a deep explanation of these concepts and not just something superficial.
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  11. Mathologer bingo: “This was shown to me by a friend of mine” “… that not even most experts are aware of!” “Why was this lost/forgotten/undiscovered for X years?” Or “why is this not taught” on the thumbnail Banter with Marty Shirts
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  12. It's gonna be yellow. Literally only took me a second (cause I looked at your previous examples and noticed something)
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  13. I checked your channel three times this week, I was expecting this, LET'S GOOOOO
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  14.  @Mathologer  thanks to you,now more people will know him.
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  15. If it is every month I think i missed some videos, going back to watch them
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  16. Wow, this is so amazing and beautiful! That's why I love maths and especially number theory, thank you for that video!
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  17. Knowing that Mathloger might expand was my best recieved Christmas gift so far
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  18. Thank you, Mathologer for your wonderful videos! David Wells's survey sadly omits Cantor's diagonalization, which, in my opinion, belongs no lower than position 2 on his list of most beautiful proofs. Cantor's proof is also the granddaddy (through Goedel) of Turing's proof of the undecidability of the halting problem (which also sends chills down my spine whenever I read it), and which ushered in the field of computer science.
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  19. A new mathologer video? Awesome :D
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  20. 1:27, now that's what I call "completing the square!"
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  21. Why do you always seem to post a video on these topics after I finish studying it
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  22. Most memorable: The most efficient overhanging structure being the weird configuration instead of an apparently more ordered one.
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  23. You lost me at "turn any one of the green circle into an orange circle", im colorblind, couldnt se any diference between that kind of green and that particular orange, a regular red should have been more noticeable 😅 But that didnt stop me for keep watching the demostration, amazing as ever, its nice to have you back. 👍🏼💪🏼
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  24. Videos are back :D
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  25. 8:54. I never applied myself in school at all but watching your videos the past year or so has been enlightening! I was a bit intimidated I don’t remember the first topic I saw but I noticed you are a great teacher! … Anyway the time stamp is because I knew it was going to have something to do with a circle lol.
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  26. The number of hairs in your head is, of course, your "Hairdős Number" (sorry...)
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  27. this is a great presentation. easy to understand and breaks down seemingly mysterious mathematical intuition. thank you!
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  28. First off, the video wasn't explicit about the condition of 'terminate.' This can confuse some, but you can infer it from the condition of choosing a facedown card, which infers that if there are no facedown cards there is nothing suitable to choose. From there, it's even simpler than math[s]. It's logic. If you have a finite set, and your task is to find one thing in a certain condition, change that condition and also change the condition [regardless of what that condition is] of a related thing, eventually you will run out of things in the [unchanged] condition, because the one definitive move of every action is from unchanged to changed.
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  29. I used to do the tower in the head on the way to school, three pegs and I managed up to 8 discs traveling in a tram. The difficult part was the nice looking girls. Just try that.
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  30. I think all proof papers would be better if instead of QED they ended with "ta-dah!"
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  31. I can’t get over how big the dude’s forehead in the thumbnail is.
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  32. Mathematics and its magic it's terrifyingly beautiful!
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  33. Truly a polite and precise explanation of Pi easy to understand youtube video of the day.. Great work Mathologer 👏
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  34. I can confirm that I've just watched the video for the first time today, even though I exclusively use subscriptions feed page and watch all of it thoroughly. It's very likely that it wasn't in the subscriptions feed at all at the moment of posting.
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  35. Always😀😀
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  36. I have a degree in Math. As most degrees needing math, there were Calc 1, 2, and 3. There is usually another one after that. After finishing those, I remember taking a Math 300, Into to Calc. This class made all the rest of the calc classes easy/obvious, I never did figure out if the 300 class was so enlightening since I had the other classes or if I could have taken the class earlier and the other classes would have been easier.
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  37. The fact that all the partial sums are nonintegral was quite memorable; especially once it was explained the graphic at the beginning of the chapter made so much more sense. Also the fact that the sum of the “100 zeros” series is greater than the sum of the “no 9s” series (assuming the approximations were of similar accuracy) despite being less dense is quite mind boggling - that one I’ll certainly not forget 🤯 Edit: skimmed the paper and I believe the term these days is “nice”
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  38. The hexagonal theorem is what just brought it all into perspective for me! I could not figure out why we were subtracting the “AB” and then the visual for the hex came with the “-6T” and it all clicked with the extra triangles! And then dividing the hex by six and getting the trithagorean buttoned it all up like a beautiful winter coat…
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  39. Interesting. Playing on a plane was fun, yet I wonder what would be the generalizations of this into multiple dimensions. I also wonder how it would change on a curved surface.
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  40. Legendre: >:[ Wherever he is now, I'm sure he is much happier knowing that there is such a great video discussing his work!
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  41. The best Christmas gift
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  42. Many years ago when it first came out I went for a job interview and the person interviewing me pulled out a Rubik's cube scrambled it and then said "I'll give you 10 minutes see if you can solve it" and then left the room. 10 minutes later he came back and asked how I had done. I said that I had not succeeded but I knew it was possible because I had seen my brother do it but that when I got one part solved it would mess up somewhere else. I asked him what the purpose of the exercise was and he said he just wanted to see how I approached a seemingly intractable problem whether I just gave up or persevered. Being willing to keep trying to solve the problem even if it did not work was what he was looking for.
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  43. It’s gonna be interesting
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  44. As a regular watcher of the Numberphile and Sixty Symbols channels, (both excellent, in my opinion), this sort of thing seems to pop up all over the place in math and get expressed in various ways in physical reality. This is a nice exploration of this particular instance. Now that I have discovered your channel, I will add it to my "interesting math channels" subscriptions. Thanks!
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  45. Really loved this video thanks. Pascal's triangle is the gift that just keeps on giving. Although strictly speaking the rule here is: " Twice the number above left plus the number above right"
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  46. He is missed, sorely. I'm disappointed I didn't get to know everything he'd done before he died, only knowing about his Game of Life.
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  47. I WATCHED THE WHOLE VIDEO AND I WANT TO WATCH MORE
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  48. This video reminded me of Grant Sandersen's (3Blue1Brown) video entitled: "Pi hiding in prime regularities" However I find this video more straightforward. Thanks for the present and Merry Christmas!
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  49. Great video! Another way to speed up the convergence of the Madhava series is to use the Shanks transformation; this makes the assumption that the difference between the nth partial sum and pi is roughly geometric, or at least that the ratio between successive errors changes very gradually. Repeatedly applying Shanks can give 7 digit accuracy from just the first 10 or so terms! I like the correction terms in the video better, though; they're more specific to this series and they help to explain the paradox.
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  50. Most memorable moment: the posture problems due to excessive obsession with mathematics
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