Every Important Math Constant Explained

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Published 2024-07-02
These are some Mathematical Constants everyone should know about.

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Timestamps

0:00 π (pi)
0:37 e
1:09 i = √(-1)
1:46 √2
2:27 √3
3:03 φ (phi)
3:50 Sponsor Break
4:18 γ (gamma)
4:44 First Feigenbaum constant
5:27 Second Feigenbaum constant
6:09 ζ(3) (Apéry's constant)
6:58 λ (Conway's constant)
7:49 K (Khinchin's constant)
8:41 A (Glaisher–Kinkelin constant)
9:21 Zero
10:16 Aleph Null (ℵ₀)
11:08 G (Catalan's constant)

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— Sources —
en.wikipedia.org/wiki/E_(mathematical_constant)
en.wikipedia.org/wiki/Catalan%27s_constant
en.wikipedia.org/wiki/Imaginary_unit
en.wikipedia.org/wiki/Golden_ratio
en.wikipedia.org/wiki/Euler%27s_constant
en.wikipedia.org/wiki/Feigenbaum_constants
en.wikipedia.org/wiki/Khinchin%27s_constant

— DISCLAIMER —

This video is intended for entertainment and educational purposes only. It should not be your sole source of information. Some details may be oversimplified or inaccurate. My goal is to spark your curiosity and encourage you to conduct your own research on these topics.

All Comments (21)
  • Just a quick error on your side regarding “e” : the number wasn’t actually named after Euler, it just so happened that he was working on several different numbers at that time and named them “a”, “b”, and so on. The fact that the only number that ended up mattering was named “e” is purely coincidental.
  • Aleph null ^ Aleph null is not equal to Aleph null. Aleph null ^ n = Aleph null where n is finite, but putting Aleph null as an exponent results in a larger infinity. Even 2 ^ Aleph null > Aleph null.
  • @LaussseTheCat
    The fact he pronounces Pythagoras in multiple ways and doesn't get it right in any way is humorous
  • @AS-bc8fg
    If you're looking for a change of pace , how about every medical/surgical specialty explained
  • @elijahhogan
    Please never pronounce Pythagoras that way again
  • i ≠ √(-1) because the square root function is not defined over the negative number. However, i² = -1, but also (-i)² = -1.
  • "adolf kinkelin" theres 2 things that could go horribly wrong
  • Thanks for this informative video. Unfortunately, you give the impression that the Ancient Greeks chose the name π for π when in actual fact it was the Welsh mathematician William Jones in 1706, so its use is actually relatively recent.
  • aleph_0^aleph_0 is not aleph_0. It's the same as 2^aleph_0, in particular uncountable.
  • @okreally6660
    Every physics constant? Or would that take too long
  • It feels like 0 is placed strangely late into the video. I'd have thought it'd be one of the first constants you mentioned. Also, I can't believe the number 1 didn't get a section. By the way, I wish you'd have given τ (tau) a mention. I mean, Tau Day was only a few days ago, after all. (For those of you who don't know, the number τ is defined as the ratio of a circle's circumference to its radius, equal to 2π and approximately 6.28. The use of τ clarifies radian angle measurements; for example, 1/4 turn = τ/4 rad, 1/6 turn = τ/6 rad, and so on.)
  • @Weskool1
    This video was actually cool, I learnt a lot, you’re videos in general are interesting
  • I didn't know that the square root of every non perfect square is irrational. That's absolutely wild.