Comments by "VE7NDE" (@denelson83) on "3Blue1Brown" channel.

  1. 10:08 - Nice square root sign you just made there.
    504
  2. I'd say he Grant-ed you the insight you needed.
    21
  3. That "o-plus" operation you're referring to is what I like to call "intermediate reciprocal summation". However, the mathematical community as a whole prefers to call it "product over sum". See if you can figure out why.
    16
  4. #1: Take note. #2: We need sum time. #3: Lands End to John O'Groats. #4: How meta. #5: Hello Internet! #6: You're in treble. #7: I saw that jig, Mr. Hilbert. #8: You ought to be proud, Kelsey. You should make this into a series of videos, Grant. It's pretty fun trying to guess what these drawings are just from seeing their Fourier constructions up close.
    11
  5. You mean he connected the dot products, right?
    5
  6. It was saved to "m" "p" 3.
    4
  7. I just noticed that your cast of "pi creatures" has three blue ones and a brown one, as in 3Blue1Brown. #MindBlown 6:30 - Yay! You're using tau!
    3
  8. 4:10 - I smell dot products…
    3
  9. You really should start working on the future video in this series about the Jacobian, which would also double as a future video in your linear algebra series.
    3
  10.  @zixuan1630  Played by Kelsey Grammer.
    2
  11. These animations remind me of that old Scanimate system.
    1
  12. Looks like you're expressing arithmetic using Möbius transformations.
    1
  13.  @vari1535  Besides, "complex plain" is an _oxy_moron.
    1
  14. How about the versine?
    1
  15.  @RonWolfHowl  +Brendan Ward You two just sucked a soft drink out through my nose!
    1
  16. I would have called a ternary digit a "tert".
    1
  17. 1023.
    1
  18. The way you're presenting this is eerily reminiscent of the concept of group theory. It would seem that the space of matrices is a mathematical group.
    1
  19. Correct. Absolute value is distance from zero, also known as "magnitude".
    1
  20. What is this, searching over a roulette table?
    1
  21. You misspelled "continuous" and "practical". And I think these surfaces you are drawing on these loops should be called "Gehry surfaces". As well, might this "inscribed" square problem require some linear algebra in its proof, specifically a zero dot product?
    1
  22.  @whydontiknowthat  …interest in the field.
    1
  23. You know what else has a periodic pattern of 1, 0, -1, 0? A sine wave! BTW, it's pronounced /ˈɡau.ʒ(ə)n/.
    1
  24. You do know that this game is an old concept, used in the game show "Lingo".
    1
  25. listenerofrealrap He read your mind, didn't he?
    1
  26. ​ @tetraedri_1834 Then try "characteristic value" instead.
    1
  27. If the bigger block was only 1000 kg, wouldn't that be enough to shatter the smaller block into thousands of pieces?
    1
  28. Ah yes, the old "shit brix" moment.
    1
  29. "Someone"…
    1
  30. The brown pi creature should be nicknamed "QTπ". 6:56 - Whoa, whoa, whoa, why a negative sign in front of the "step" variable?
    1
  31. You might also want to use white for infinity, whether that infinity is positive, negative, or complex.
    1
  32. I pronounce the word "Gaussian" as /ˈɡaʊ.ʒ(ə)n/.
    1
  33. I think I found another flaw in your equation solver. If a winding number for a particular region is undefined, treat it as though it had a non-zero winding number, or you will miss some of the roots you are looking for, as was the case with z⁵ - z - 1 = 0.
    1
  34. 6:43 - Nice kitty. 😻
    1
  35. Freak. Win. Sea.
    1
  36. Dynamical maps like this also have something called "Misiurewicz points", which are values where the initial seed of the sequence is pre-periodic, that is, the sequence of points you get snaps into a cycle of fixed length, but the initial seed value is not part of that cycle.
    1
  37. 7:11 - i.e., How many total collisions you need for a touchdown.
    1
  38. So, a transformation that isn't linear could introduce a glitch in the matrix?
    1
  39. 13:57 - No pun intended, I bet.
    1
  40. 3:14 - How devilish.
    1
  41. Hey, at least this video has a lot of mugshots in it.
    1
  42. Hmmm... Looks like "ish" means what you think something is, while "ism" means what you want it to be.
    1
  43. Hey Grant, you should one day reuse the music from your "Triangle of Power" video in another one of your future videos. That music is pretty catchy.
    1
  44. You know, I think the 3-4-5 triangle inspired the most widely used aspect ratio of a motion picture back in the day. Also, remember that the geometric notion of complex multiplication can be expressed symbolically using the polar form of a complex number, re^θi. Here's how: r₁e^iθ₁ × r₂e^iθ₂ = r₁r₂ × e^iθ₁ × e^iθ₂ = r₁r₂ × e^(iθ₁ + iθ₂) *by the laws of exponents = r₁r₂ × e^i(θ₁ + θ₂).
    1
  45. Ever thought about getting someone to make a VR 3D version of this video, Grant?
    1
  46. Not 42!? BTW, that monster's dimension is 47 × 59 × 71.
    1
  47. Now answer this. Are there infinitely many Pythagorean triples with coprime values a, b and c?
    1
  48. Also known as a "primitive" Pythagorean triple.
    1
  49. Hey, why not do a video that continues both your "Essence of Calculus" and your "Essence of Linear Algebra" series? The topic would be "The Jacobian".
    1
  50. Yay! τ!
    1