Polynomial approximation of functions (part 6)

[vitenter]

As an agnostic scientist I find sal's statement completely secular, innocent, well said, fair, and frankly I would've worded it the same way myself, given that I believe, as an agnostic, that the notion that some non-agnostics label "god" may indeed be best expressed as physical laws and the simplest possible explanatory formulae of our universe, and so I identify with sals comments here, which regard the perspectives of others in an observatory context; they do not represent any claim to the e

[theantiantichrist]

order = proof of greater order

[C4FishingTeam]

Seriously Sal....

[Maso5]

Thank you Khan, you actually helped me with my java homework where I had to use loops and logic to calculate e^n up to the factorial of 100.

[rishkaal420]

BINGO! THAT'S HOW WE PROVE THAT COS X + ISIN X = E^IX. Sorry i know i've commented before, but i'm quite high right now :D

[nigtasticbasedgod902]

you guys are all fuckin retarded (people hating on sal for his references to god), he made it clear that it is "proof of the existence of some hidden order of the universe that we can only catch a glimpse of", then he goes on to say that it is possible that that could be God. it sure as fuck does prove the existence of some hidden order of the universe, fuckin faggots let the man have his moment

[theantiantichrist]

@nigtasticbasedgod902 The Universe is proof of the 'hidden' order of the Universe. It's explicitly an ordered thing, no matter the angle you observe from. Hence man's existence, and hence the watchmaker argument

[scissorzaxen]

Gash! 7:32 almost made me scream out loud.

[scissorzaxen]

Gash! 7:32 almost made me scream out loud.

[LAnonHubbard]

I've watched almost 200 Khan Academy videos. This is the first one that I want to comment negatively about. Please leave god out of the math lessons!

[fuckooo]

@LAnonHubbard Get over it.

[LAnonHubbard]

@fuckooo Keeping god in the religious/philosophy lessons and out of the science and maths lessons is vital, so I feel the need to point this out.

[fuckooo]

@LAnonHubbard Sal merely pointed out that Euler's formula has been used to 'prove' the existence of God. I think the part at the end where he talks about some 'hidden order' that we can call 'god' is not something to get upset over, it sounded like 'Spinoza's God' if anything.

Personally I found it an interesting little 'tid-bit', it's not as though Sal himself was trying prove the existence of God, or trying to preach religion to us.

[LAnonHubbard]

@fuckooo Fair enough. Nice to hear your opinion on it, and nice that you can construct comments more helpful than "get over it". I spend a lot of time (mainly on YouTube) hearing about the evils of religion so I'm a bit tetchy about it :)

[demonangels67]

WTF?!! e proves the existence of a god

OMG!!! I must listen to you more often man xDD

[V2PRC]

I think this is another way of proving e^ix = cos x + i sin x

[V2PRC]

One of my favorite Khan videos.

[TheMikeSideGallery]

Whats really wild is that 1/e=cos(i)+i*sin(i) and e=cos(i)-i*sin(i)

[atown2k3]

goosebumps!!

[marcellohro]

i think f(x)=e^x should be a religion.

im a etothexiam from now on

[MrYusufgovani]

Excellent. He has made maths very interesting.

[utubsdum]

is this calculus 1 or 2?

[Taowhr]

@utubsdum calculus 2

[Jjhperlas]

I have no idea why people are so offended by the mere mention of God. It seems they need to do a little soul searching within themselves and stop asking questions that don't matter and face reality that every person will die to meet their maker. :)

[mauroprovatos]

holy shit!

Is sine the imaginary version of cosine?

[J0EH3AD]

Hey man it like your videos, but let gods go!

It is proff of pattern in the universe! Not the proof of deites! It is mathematical proof. I am kinda disappointed with you, but I still like your videos. You really love maths and you are good teacher.

My hobby is statistics and probability... I can say that pure randomness underlying everything is proff of Vishnu - it is amazing to me , but does is proves Inteligent design? You just fish for patterns because you are human as me.

Best!

[Thymonico]

These videos have connected so many things in my mathematical toolbox that I feel like there's only one thing I know; e^iπ+1=0.

"I feel like grabbing people in the streets to say: "Have you heard this!?"" - Neil DeGrasse Tyson

[kanonathena]

imagination is often limited to what u are conditioned to beleive, most people are afraid or unwilling to change their perception of the universe once their mind is set in a mode, and this becomes the biggest obstacle to understanding the universe

[kanonathena]

the conventional notion of god is completely distorted from the original concept passed from higher intelligence. God is intelligent energy permeating and constructing time and space.

[wiseravi2000]

you certainly have a good imagination

[kanonathena]

imagination is often limited to what u are told to beleive

[alexgordonepic]

God could not give the creature all without making of it a God; therefore there must needs be different degrees in the perfection of things, and limitations also of every kind -Leibniz in his "Theodicy: Essays on the Goodness of God, the Freedom of Man, and the Origin of Evil"

[autorancho]

if someone does not believe in God's existence - that person simply is smarter than may be Isaac Newton , Faraday, Bless Pascal or other great mathematicians. You should know that Newton dedicated 30 years of his research to the Bible and built

most sophisticated time chronology of history.....

[PavelSTL]

Right, but he also committed as much time to Alchemy. By your logic, therefore, we should abandon chemistry and attempt turning lead into gold. Newton was brilliant, but he was still a human. There is no need to idolize everything that came out of his mouth. Use your brain to separate what is of value and what is not.

[PeterSenderos]

Understanding the way these numbers work is not "proof of some hidden order to the universe". It is fascinating though.

[USMChiLD]

It seems so close. Can't u just multiply by another series that will change the negative signs to positive and serve as the missing link? Kinda like the way u thought of how to make the signs switch when u were writing the sigma notation thing.

[iluvjiyongx3]

dude that is just simply amazing and cool!!

[dumbworld]

There is god ???? hahahaha

[TheLullipulli]

Thanks for the very good work! Keep going on with this! I want to know much more about Math now and I want to learn it this way. With you. You`re great!

[vaios123342]

THANKS U!!!

[tfou3lakmara]

u are the best

[bhaskarpanerihotmail]

you are good. You got my attention dude.

[bll93]

Breath-taking discovery

[utbuser13]

Thank you so much!

[Person514cs]

interesting indeed.

[arminko90]

thank you so much...please keep it up...u are true inspiration

[darkfighte]

thank you for the vodeo:)