Ignite Bristol 04 - Oliver Humpage - A Beautiful Equation: Euler's Identity

[therealjordiano]

i can't wait till the day i understand all of that :D 

[420HoLLyWooD420]

@therealjordiano its actually pretty simply trig.

[therealjordiano]

@420HoLLyWooD420 your opinion, I've not got to the stage in school where this is really simple to me

[bibianairis]

XD!!!!!!!!!!



[DoktorFrankenstein]

Great presentation; I'm still a bit mindblown by the relationship between 'pi' and 'e' here.

...and for some reason, this reminded me of "Zero Punctuation".

[nicechewi]

i'm too dumb for this video.

[gigijbijbj]

@nicechewi wat a shame

[TheTerribleSwede]

"Like" but zero is not nothing.

[oliverhumpage]

@TheTerribleSwede Ooo, debatable! It's true that in arithmetic zero is the number of things you have if you have nothing (so different), but I remember from first principles in analysis one can consider zero to be equivalent to the empty set, which *is* nothing. Given how abstract Euler's identity is, I'm happy treating the right hand side as "nothing".

Thanks for the "like" btw...

[Jonnyalt119]

Thanks, I wish you hat talked slower though, I don't understand this push towards speed.

[oliverhumpage]

@Jonnyalt119 The format of Ignite talks is that you have exactly 5 minutes to speak. You have 20 slides, each lasts exactly 15 seconds (you have no control over their timing, they change behind you as you talk). Hence the fast talking, and the quantisation of information into 15 second chunks.

[Jonnyalt119]

@oliverhumpage Oh OK, that makes more sense now. I remember seeing some other talks from Ignite now, and thinking that ignite's style is one of the more well done. It's just so much to take in in 5 minutes! Still this is probably the best explanation I have seen.

[bungalowsteve]

Thanks for the link, looks like others has similar problems with understanding the identity. I view taylor series, limit definitions etc as "black box simulations" of formulas, they give the correct result, but the inner workings bear no relationship to the actual formula it's simulating.

[bungalowsteve]

I guess I wasn't too clear, I never said x on one side, I said a function of x which goes to infinity on one side, anyway, my comment was concerning how e^x could intuitively be related to sum of sinusoids by simply introducing i into the equation. I've never been able figure that out.

[oliverhumpage]

@bungalowsteve Ah, I see. Logically it obviously works (the powers of x, i's and +/- all work out), but you're right, the total counter-intuitiveness is what I find so fascinating about it all. For a bunch of more "intuitive" (although mathematically harder) explanations, see the thread on HackerNews that this video sparked: (can't post link, go to news-ycombinator-com and search for 2291695 )

[bungalowsteve]

still don't get how e^ix=cosx+isinx, you have an function which goes to infinity with x on one side and tame sinusoids on the other, oh well.

[oliverhumpage]

@bungalowsteve There isn't an equation with x on one side...? The idea is that if you rearrange the components of "taylor expansion of cos(x) + (i * taylor expansion of sin(x))" then you get "taylor expansion of e^ix". Not a rigorous proof as it stands, but then it doesn't claim to be - it's a demonstration.

[jopomeister]

AAAAAAAAAAHHHHHHHHHHHHHH

This is full of win, although I understand none of it because I'm 16 :D

[oliverhumpage]

@jopomeister thank you :) There's nothing in there beyond A-level standard (school at 16-18), so stick with the maths and watch it again in a year!

[jopomeister]

@oliverhumpage Actually, I think if I watch it over and over again I'll end up understanding it. I wish my teachers were as enthusiastic as you >_>

[GR1o6180339887498948]

He must have left a pi in the oven and had to rush his speech to go and check it out before it burned.

[Qw3rtypop]

Oh and as far as the video is concerned, very nice indeed.

[LFCzeppelin8]

LOL how do people figure this shit out man? my respect for the people who initially found all these things out just shot through the roof.

[DavidsonLoops]

@LFCzeppelin8 The guy who came up with the formula, Euler, invented it and it's pretty amazing since Euler came up with his e (2.4...) and figured this stuff out without the assistance of a calculator or advanced mathematical instruments since he was alive in the 18th century.

[ElectroMagneticWeak]

@DavidsonLoops

Two mistakes:

1)Euler "DISCOVERED" the formula, not "INVENTED" it

2) e=~2.718281828459045=/=2.4....

[jonessmithGB]

sorry, meant square root of pie is apple and square root of Pi is infinity

[Qw3rtypop]

@jonessmithGB

I think the term you are searching for is undefined rather than infinity, since infinity is a concept and not a real number.

Of course a decimal approximation can be found...

[jonessmithGB]

square root of pie is infinite and that is something most ppls can't grasp

[AaDoodaa]

He makes me proud that I have this tattooed on my arm. Somewhat regrettably, I got it as "e^(i*pi) = -1", but it's still beautiful.

[CassetteMusic]

Bravo!

Would love to see the slow version too! Have a feeling you'd explain it rather well (And I'd be able to follow it! a bit better)

[Peregr1nEU]

Brilliant! Lost me at around 4:10 so I'll have to watch it again sometime, but slower... (I haven't thought about maths since A levels 13 years ago, so need time to get my brain properly booted up)

[Carutsu]

Awesome stand up :P

[TheNorthernSoulBoy]

Paddy Ross is a dork.

[declanfleming]

1:09 .. WIN! :D

[mlpoulter]

An amazing presentation: a difficult, abstract topic made understandable and entertaining!

[davidgilroybs8]

Go Oliver.....absolutely bloody marvellous!!

[headcleaner31]

Outstanding!