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Math: Pretty simple math
Old 02-22-2009, 02:32 PM   #1
rahdam
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There has been an absence of math here recently.
I've got one that's very simple and very accessible for almost anyone.
In the future, I'll attempt to be more creative
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Simplify:

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Old 02-22-2009, 02:34 PM   #2
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I think I'll let some other people have a shot at this one.

Don't disappoint me, people!
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Old 02-22-2009, 02:43 PM   #3
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Hmm...

If you write c = 3, it looks a little bit like a cock & balls...

c=3

See!

I might start a game thread on that type of symbolism, what do you think?
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Old 02-22-2009, 02:50 PM   #4
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Creative way to give the answer:

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Old 02-22-2009, 04:30 PM   #5
altoid
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Old 02-22-2009, 04:32 PM   #6
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  Originally Posted by altoid
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Yay! Not disappointed.

Very creative, Monte, but you don't count for this one.
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Old 02-22-2009, 05:09 PM   #7
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Maybe someone could show how this equation is derived? It's quite simple...
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Old 02-22-2009, 05:35 PM   #8
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Umm...why don't you use ln?

e^i(pie) + 1 = 0

e^i(pie) = -1

ln(e)^i(pie) = ln(-1) (ln cancels the e, since ln = log(e))

i(pie) = ln(-1)

i(pie)/ln(-1) = 0

I didn't stated the exact answer. I guess you need a calculator and I don't have one right now.

Still, I'm not sure if I'm right.
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Old 02-22-2009, 05:53 PM   #9
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I'm far too lazy to type this properly right now, but I can if anyone is really interested and no one else volunteers...
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You can use the Maclaurin series expansion for e^x to find that of e^(i*x). This is the part I am too lazy to type out. When you group the real and imaginary terms in this new series, you just end up with

e^(i*x)=cos(x) + i*sin(x).

Since we're considering the special case where x=pi:

e^(i*pi) = cos(pi) + i*sin(pi) = -1 + i*0 = -1.
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Old 02-22-2009, 06:44 PM   #10
Maayan
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  Originally Posted by tp6626
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c = 3

Sure, but B=3 is far more compelling and controversial.

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Old 02-22-2009, 07:14 PM   #11
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  Originally Posted by Maayan
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Sure, but B=3 is far more compelling and controversial.

I prefer 3=3 for the symmetry. Though I guess if it was to scale then it'd be a really tiny....or a really large...Uhhh...nevermind. What were we talking about?

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Old 02-23-2009, 12:12 AM   #12
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  Originally Posted by callmemigs
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i(pie) = ln(-1)
i(pie)/ln(-1) = 0

If you divide by ln(-1) you get = 1, not =0.

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Old 02-23-2009, 01:26 AM   #13
pure potential
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Popular process leaves quite the impression..

"Raising e to a positive integer exponent has a simple interpretation in terms of repeated multiplication of e."

This is a wonderfully simple (and solid) principle (and pattern) posed by the equation.

Patterns are common denominators that in turn create forms.

Consistent forms in turn develop common reality.


EDIT: After a bit more sober reviewing, please pardon my derailment of the OP's question, I was wandering off in wonderland.. again.
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Last edited by pure potential; 02-23-2009 at 06:41 AM.
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Old 02-23-2009, 06:15 AM   #14
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  Originally Posted by Mozzes
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Perhaps more important, however, is that ln(-1) is undefined.

Actually, ln(-1) = i*pi/2.

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Old 02-23-2009, 06:21 AM   #15
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  Originally Posted by Monte314
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Actually, ln(-1) = i*pi/2.

Yeah, I remembered we weren't just talking about the reals and edited my post right before you posted that.

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Old 02-23-2009, 07:32 AM   #16
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  Originally Posted by Monte314
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Actually, ln(-1) = i*pi/2.

Isn't that ln(-1) = i*π?

ln(i) = i*π/2 (pv)

 

Last edited by nacht; 02-23-2009 at 08:35 AM.
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Old 02-23-2009, 09:40 AM   #17
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  Originally Posted by nacht
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Isn't that ln(-1) = i*π?

ln(i) = i*π/2 (pv)

Yes, Nacht, I'm sorry. It is i*pi... I dashed that off, and ran to a meeting, where I realized I'd typed in the value for ln(i) instead of ln(-1). I just now got back.

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Old 02-23-2009, 06:25 PM   #18
rahdam
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I haven't seen a wrong answer yet! And the side discussions are pretty radical (or are they...)
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Old 02-24-2009, 03:32 AM   #19
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I knew the answer from way back, it's an old friend. Couldn't remember how to prove it though!
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Old 02-24-2009, 09:47 AM   #20
pure potential
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Actually after even more sober reviewing (sleep!), I think I simplified fine, just in a different context. Thanks for the opportunity to think, rahdam! 'twas fun.
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