*Wow* this must be one of the most complicated numbers ever. I heard an absurd proposal that suggested we should teach this as the first number to kids. Absurd.
The point of this video is that numbers with names like Pi, e, Golden Ratio etc. get so much love that the beauty of "normal" numbers like 1 get ignored. Give 1 a fancy name like Wau, and suddenly all its cool properties look a lot cooler. That's the point.
3:05 "Make the proportion Wau, and, well, you get something that most people wouldn't call a rectangle, unless you're a mathematician and being technical" I think this is the most clever line in the entire video. It's both deliciously misleading and absolutely true!
It's been half a decade since I first heard of Wau, but I finally think I understand the complexities (and uniqueness) of this beautiful number! Wau is easily #1 on my list of favorite numbers.
ME TOO. I've watched this video a few years ago and was just left baffled. I've come here back after years of high-school(in my last year) and I thought I got some pretty decent math knowledge to see if I understood at least a single concept or idea presented in this video. I still didn't get it, but after reading some comments here I realized that Wau is 1....
Well the first sum she was talking about she determines by Numberphile's dumb logic (i.e. that if a sum from 1 to k takes 2 values depending on whether k is odd or even, then if k tends towards infinity, she states that the number will be the arithmetic mean of those two numbers, which is incorrect, much like numberphile did in the 1 + 2 + .... = -1/12 video), so I'd say she is more of a dumb physicist than a mathematician
UGH all the clues.. 0:56 "More than ONE way" 1:30 Maybe a hint but the geometrical mean(which I think used in infinite fractions) is 1... 2:35 You can just calculate it straight away. 2:58 Log1 don't work so... 3:14 Yeah it is what kids say "Square" 4:15 It will be a point, like in the video 4:35 Your example Edit: Also the title contains "Singular"
I remember watching this in highschool and being completely befuddled by the notion that such a number could even possibly exist, until i watched it again today, 5 years later after 3 years of studying pure mathematics because it just randomly appeared on my YT feed, and I'm a little ashamed to say ut took me 3 rewatches to finally figure out that she was talking about 1 lol
Pretty surprised no one has mentioned this yet but (d/dx)(e^F) is not equal to Fe (where F is wau); the derivative of any constant with respect to "x" is 0, and e ≠ 0.
Fun fact: Around 100 years ago, when mathematicians were pondering the true essence of Wau, they said that it's like an empty box inside of another box. It turns out when you peel back all of the layers of this truly mystical number, all you're left with is nothing.
Shravan Only thing I don’t get was that calculus part. She said that d/dx e^wau = wau(e). But e^1 = e, so this is a constant function. Therefore shouldn’t the derivative be zero? Or am I supposed to assume that she meant e^x whenever she wrote e?
Dihydrogen monoxide is a major component in acid rain, and yet is completely unregulated and makes its way into nearly all foods, even organic produce!
+IluveNightcore 4life I know, I just like how it all rhymed and was more onomatopoeia than an actual thing I mean, if wau was an actual variable, you wouldn't say wau wau, you'd say 2wau
@@markgearing usually refering to multiples means integer multiples as otherwise every number is a multiple of every other (non 0) number since we are in a field. Multiples aren't that interesting in fields since multiplication in those behaves too nicely, so we usually stick to Rings like the integers
Reminds me of my favorite math fact. The number of divisors of any Prime Number is a Fibonacci number. Which is closely related to the fact that if you take any prime number, take it to the wauth power, and divide it by wau, you get a prime number. However, you missed a key part of Wau, which I shall call Wut. If you take Wau to the Wauth power and subtract Wau to the Wauth Root, you get Wut. Wut is the yin to Wao's yang. They are inexplicably linked. If you take Wau to the Wut and add Wut to the Wauth you get Wao to the Wut to the Wao. If you add Wut and Wao together and take the natural logarithm of that, then divide it by i, you get pi to the Wau minus Wut to the pi. That is just a taste though, RU-vid comments aren't well suited to fully exploring the relationship between Wut and Wao. Perhaps someone more familiar with Wut and Wao would care to elaborate.
No, no, you shouldn't ADD Wut and Wau, the natural logarithm of that is just Wut. If you subtract Wau from Wut, then the natural logarithm of that has the properties you stated.
people tend to appreciate (and sometimes overly appreciate, imo) irrational numbers and their properties while ignoring those of the simplest natural numbers, great video!
Wau is so powerful it's actually been banned from a lot of mathematics. By every sensible definition wau should be a prime number, but because wau is so strange, that would make it part of every single numbers prime factors. Do you get how amazing that is, one number, which is a factor of every other number? Mathematicians couldn't handle this, it would make primes too chaotic, so they had to ban wau from the set of primes, and add this weird extra rule to the definition, so primes are today defined as "Numbers that are only divisible by themselves and 1, other than wau". I'm not making this up, that's the official definition in use today, people just often forget to mention that second part.
+Nir Glazer No I know that. I was referring to the joke 'otherwise it wouldn't really be wierd'...I mean I didn't understand why that would be funny- different sense of humour here, I guess. :/
Holy crap, I just watched the video again and now it all makes sense. I should have known at the first infinite product which oscillates between 1/2 and 2
also the exponential thing is quiet obvious, although i need to admit that i still thought it could be a complex number or something weirder that i have no clue of.
"The simplest thought, like the concept of the number one, Has an elaborate logical underpinning. The brain has it's own language For testing the structure and consistency of the world." - Carl Sagan
Emily Black This video was already spoilt by the title. If the title hadn't already given away what the number was, I wonder how long it would have taken me to twig what she was talking about...
When you talked about e=mc^2, I had to check if the upload date wasn't 1st April by any chance. At that point I didn't know that wau=1. Then I read a comment where all was made clear.
Alex ander so I watched this video like 3 years ago and just watched it again and realized, does that mean my IQ is (3*365*24*60*60)? update, I don’t know how to read apparently. my IQ is 318-(3*365*24*60*60) so basically I’m stupid
I realised Wau was probably 1, but I never thought someone would ever release a video to show us what the most everyday number can be when you don't know what it is. This applies to all of life! Honestly, you are awesome!
Vi: Are you a real mathematician? 3 other people: Well, technically, nah. Vi: Have you ever caught an evil number, like a... like a real Pi? 3 others: Nah nah. Vi: And no kind of usage of Tau? 3 others: Nah. Vi: Alright, I can see, that I will have to teach you, how to be like Vi Hart. We are number Wau! Hey! We are number Wau! Now listen closely. Here's a little lesson in mathematics. This is going down in... uhh... RU-vid videos? If you wanna be a mathematician number Wau. You have to catch Pi and replace it with Tau. Just follow my moves and sneak around. Be careful not to make a sound. *one of the 3 people touches an apple pie* Vi: No, don't touch that. We are number Wau! Hey! We are number Wau! hey! Now look at this circle that I just found. When I say go, be ready to write its circumference. Go! 3 others: 2πr Vi: Write it with Tau, not Pi! Ugh, let's try something else. Now watch and learn, here's the deal. We'll measure this right angle in radians. 3 others: 1/2π Vi: What are you doing?? We are number Wau! Hey! We are number Wau! Hey! Mathematician number Wau! We are number Wau! Hey! We are number Wau! Hey! We are number Wau! We are number Wau! We are number Wau! Hey! Hey!
Was only vaguely suspicious of the 1/2 and 2 thing. Called it around e-i-2-pi like apparently quite a few. Reaaallly got more suspicious once she started getting silly :)
How all of these work: - 1 also equals .9 repeating - That series equates to a fraction of n/n. Which is 1. - 1 multiplied and exponentiated to itself is always 1. - 1 to the power of of anything is 1, root n of 1 is always 1. - e^iπ is -1. e^2iπ is just 1. - d/dx e^1 is 0. e*1 and e^1 are both e. e-e=0. - I can't tell what she meant by "o" so I'm not doing anything about this one. - Logarithms can't work with 1.. Log1^4 wouldn't work since no amount of multiplying 1 by itself can get you to 4. This applies to all numbers except for 1. But Log1^1 pretty much gives you every number in existence. - You wouldn't call it a rectangle because it's a square. The fraction she gives is a fancy version of n/n. So 1. -It would have a degree of 1. It would collapse. - E^1/MC^2 = 1 is the same as saying E/MC^2: E=MC^2, E/MC^2 E^1/MC^2= 1^1 - If you kept putting one to the power of 1 is always one, putting n root of 1 is always 1. Meaning that 1^1 and Square Root 1 are always the same, hence why it wraps around.
TGL SuperStarMan47 oh. okay then. So that problem with the 0 in it is essentially saying that e=e e^i^ei0= e^i^0= e^1= e e^1^(Tau)(1)(1) = e^1^Tau= e^1= e and as you know. e=e
Some people don't understand irony when it's staring them in the face :rolleyes: Don't get so triggered, it was just an intentional misunderstanding, a lame joke. Jeez.
THT Brickfilms we know wau is 1, but those identities are still wrong, I am a math graduate, I would be glad to explain them to you and in what sense they seem to be equal.
Ϝ in decimal notation is 1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.................
also 1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.................1
They were trying to manipulate the derivative of e^x being e^x, but incorrectly substituted x as 1 inside the derivative, changing the meaning of the expression.
I'll quote Michele Schiavetta (at the time I wrote this his/her/its comment was above mine) "The point of this video is that numbers with names like Pi, e, Golden Ratio etc. get so much love that the beauty of "normal" numbers like 1 get ignored. Give 1 a fancy name like Wau, and suddenly all its cool properties look a lot cooler. That's the point. " Basically wau is just 1 Hope that explains it :)
