Beauty of Mathematics
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24-09-2015, 03:44 PM
RE: Beauty of Mathematics
(24-09-2015 03:37 PM)Timj Wrote:  Oh, it's awesome in trigonometric calculations. Say you have sin^5 x. Take Euler's definition of sin... sin x = [e^(ix) - e^(-ix)]/2i. Take this entire term (call it f(x)) then just do. [f(x)]^5 using a binomial expansion. Matter of fact, all of the trig identities can be derived with his definitions.

Yeah, I see your point. I suspect I'm just an old fart (true!!) and we did things different way back when.

Things change, fortunately.

We used to have mainframes. We also used to have to worry about T-Rex's.
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24-09-2015, 03:48 PM
RE: Beauty of Mathematics
Here is a video on one of the easier derivations

https://youtu.be/Bd22Y6NvKZk
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24-09-2015, 03:51 PM
RE: Beauty of Mathematics
(24-09-2015 03:44 PM)jockmcdock Wrote:  
(24-09-2015 03:37 PM)Timj Wrote:  Oh, it's awesome in trigonometric calculations. Say you have sin^5 x. Take Euler's definition of sin... sin x = [e^(ix) - e^(-ix)]/2i. Take this entire term (call it f(x)) then just do. [f(x)]^5 using a binomial expansion. Matter of fact, all of the trig identities can be derived with his definitions.

Yeah, I see your point. I suspect I'm just an old fart (true!!) and we did things different way back when.

Things change, fortunately.

We used to have mainframes. We also used to have to worry about T-Rex's.

I only use this method when our professor says "NO CALCULATORS!". Using computer software, everything is done for us. Computers make engineering students very lazy, lol.
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24-09-2015, 04:00 PM
RE: Beauty of Mathematics
(24-09-2015 03:48 PM)Timj Wrote:  Here is a video on one of the easier derivations

https://youtu.be/Bd22Y6NvKZk

Hey, I recognise that accent!! I've got the same one!!
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24-09-2015, 04:02 PM
RE: Beauty of Mathematics
Haha, you think we could have landed a man on the moon without calculations? Hahaha!
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24-09-2015, 04:20 PM
RE: Beauty of Mathematics
(24-09-2015 04:11 PM)itsnotmeitsyou Wrote:  Hence why I simply insult the fucking moron. Many, including myself, have attempted to explain things to him, but he is immune to reason and logic. So, I just go with the old standby...

Fuck off, shithead.

I've never engaged in conversation with him/her before but (s)he obviously feels precious.

What a waste of time.
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24-09-2015, 04:53 PM
Beauty of Mathematics
I think you'll enjoy this http://youtu.be/jm7OBEz7JR0

"If you cannot explain it simply, you don't understand it enough" -Albert Einstein
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24-09-2015, 04:59 PM
RE: Beauty of Mathematics
(24-09-2015 04:53 PM)smileXsmileXsmile Wrote:  I think you'll enjoy this http://youtu.be/jm7OBEz7JR0

Yup, no math involved there. Laugh out load

Thanks, watching now!

Excuse me, I'm making perfect sense. You're just not keeping up.

"Let me give you some advice, bastard: never forget what you are. The rest of the world will not. Wear it like armor, and it can never be used to hurt you." - Tyrion Lannister
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24-09-2015, 05:06 PM
RE: Beauty of Mathematics
(24-09-2015 04:53 PM)smileXsmileXsmile Wrote:  I think you'll enjoy this http://youtu.be/jm7OBEz7JR0

Looks great. I'm downloading it. It's late here in Holland and the Aussie Rules semi finals are early my time. So, I'll watch it sometime this weekend.
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24-09-2015, 06:18 PM
RE: Beauty of Mathematics
I don't know why Heywood's got to derp in every thread.
I don't know why people feel it necessary to respond to him.

(24-09-2015 04:53 PM)smileXsmileXsmile Wrote:  I think you'll enjoy this http://youtu.be/jm7OBEz7JR0

Nice of somebody to come up with the documentary I was expecting. Big Grin

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