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Author Topic: Favorite Math/Science Equation/Theory  (Read 4139 times)

Strife26

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Re: Favorite Math/Science Equation/Theory
« Reply #15 on: March 30, 2011, 03:10:42 pm »

Magma power (geothermal) is awesome, actually. Look at Iceland. Plus, wherever you go, you can almost always get either heating or cooling for almost zero energy cost with a passive geothermal heat sink.

the problem with it as we need to replace to the water that is removed.


One can do it with just an enclosed loop of some kind of fluid. Assuming that you're going for a heating system, convective forces shout do all the work for you.
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Dr. D

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Re: Favorite Math/Science Equation/Theory
« Reply #16 on: March 30, 2011, 09:13:04 pm »

When I do learn the theory of General Relativity, I will go find a weight loss thread and help them with their "weight problem."

So pretty much I want to use the Theory of General Relativity to troll.
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Il Palazzo

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Re: Favorite Math/Science Equation/Theory
« Reply #17 on: March 30, 2011, 09:35:11 pm »

When I do learn the theory of General Relativity, I will go find a weight loss thread and help them with their "weight problem."

So pretty much I want to use the Theory of General Relativity to troll.
You don't have to put off learning about it. Read Einstein's own popularized book on the subject:
http://books.google.pl/books?id=O5f3L2GfXBQC&printsec=frontcover#v=onepage&q&f=false
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Vector

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Re: Favorite Math/Science Equation/Theory
« Reply #18 on: March 30, 2011, 09:37:17 pm »

Heh, I read that as a junior in high school.  It was pretty good (but confusing--I still don't know what a Lorentz transform is >_>).
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"The question of the usefulness of poetry arises only in periods of its decline, while in periods of its flowering, no one doubts its total uselessness." - Boris Pasternak

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Tellemurius

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Re: Favorite Math/Science Equation/Theory
« Reply #19 on: March 30, 2011, 09:41:31 pm »

Only AP physics (god take me if i step into that class ever again)
It determines the differences of objects traveling at the same speed in space but has different velocities

Urist Imiknorris

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Re: Favorite Math/Science Equation/Theory
« Reply #20 on: March 30, 2011, 09:46:09 pm »

When I do learn the theory of General Relativity, I will go find a weight loss thread and help them with their "weight problem."

So pretty much I want to use the Theory of General Relativity to troll.
You don't have to put off learning about it. Read Einstein's own popularized book on the subject:
http://books.google.pl/books?id=O5f3L2GfXBQC&printsec=frontcover#v=onepage&q&f=false
Bookmarked. *shot*
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Logical2u

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Re: Favorite Math/Science Equation/Theory
« Reply #21 on: March 30, 2011, 09:53:15 pm »

I am so glad to hear about people wanting to learn about special relativity, general relativity, the thermodynamics of the earth, Euler's equations, basically everything! I want to respond to a lot of this stuff (and I will do my best) before getting to my personal favourite...

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I like the bizarre theory of Time Dilation and the Twin Paradox.
I particularly loved learning that the Twin Paradox is probably not a real paradox (non-uniform motion breaks the symmetry). The concept that light is an immutable 'thing' (and not time) was groundbreaking and has plenty of applications.

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[-b +or- (b^2-4ac)^.5]/2a

I think that I got it right.
Yeah, you got it right.

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Herndon Georeactor theory
I hope we never discover this to be true.
It might not be true but it is somewhat close - radioactive decay might keep the mantle molten, although probably not fission or fusion.

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Phi, the most awesomest ratio ever.
Phi owns.

Anyways, my favourite theorems (so far) are Cauchy's integral theorem and Cauchy's residue theorem - really the same thing, but anyways - They're super useful, they reduce the complexity of difficult problems, and give us an interesting way to find series and integrals.

(Close second: Heisenberg uncertainty principle. It is a useful and interesting quantum mechanical measurement tool, a Fourier pair relation, and an explanation of various quantum mechanical oddities.)

Sniped:
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I still don't know what a Lorentz transform is
There are Galilean transformations, which allow us to change between coordinate systems - even between coordinate systems that are moving relative to one another - in our day to day life (IE: The coordinate grid centred around your house can be transformed into the coordinate grid centred around your car via Galilean transformations). Lorentz transforms are an extension or modification to Galilean transformations so that light has a constant velocity in every coordinate frame, which is an assumption of Special relativity. (It does a lot more than that, but I'll save that for your physics prof to teach you)
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Tellemurius

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Re: Favorite Math/Science Equation/Theory
« Reply #22 on: March 30, 2011, 09:56:04 pm »

The georeactor is fission, this allows the self sustaining cycle.

Vector

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Re: Favorite Math/Science Equation/Theory
« Reply #23 on: March 30, 2011, 09:58:13 pm »

No, I mean... I got that much from what I read at the time.  But I don't understand them in a fundamental way, like I understand, say, a homomorphism.

Also, I'm a math/literature student, so that's pretty much as I'm ever going to get on relativity in general unless I go throttle some textbooks in my spare time later.  Ahh... but what spare time...
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"The question of the usefulness of poetry arises only in periods of its decline, while in periods of its flowering, no one doubts its total uselessness." - Boris Pasternak

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Tellemurius

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Re: Favorite Math/Science Equation/Theory
« Reply #24 on: March 30, 2011, 09:59:59 pm »

No, I mean... I got that much from what I read at the time.  But I don't understand them in a fundamental way, like I understand, say, a homomorphism.

Also, I'm a math/literature student, so that's pretty much as I'm ever going to get on relativity in general unless I go throttle some textbooks in my spare time later.  Ahh... but what spare time...
For all that is sane do not move over to science. Trust me, even with epic math skills you still be going "This makes no fucking sense!" >_>

Logical2u

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Re: Favorite Math/Science Equation/Theory
« Reply #25 on: March 30, 2011, 10:07:49 pm »

No, I mean... I got that much from what I read at the time.  But I don't understand them in a fundamental way, like I understand, say, a homomorphism.

Also, I'm a math/literature student, so that's pretty much as I'm ever going to get on relativity in general unless I go throttle some textbooks in my spare time later.  Ahh... but what spare time...
Oh, sorry then! It is awfully hard to understand fundamentally what they're doing, I mean I had to look up what they were to really remember. SR isn't really my field of interest I'll be honest. I would just say they're Galilean transforms that account for time dilation and special relativity, but that might not be helpful either.

The georeactor is fission, this allows the self sustaining cycle.

Yeah I was trying to imply it probably wasn't a correct theory but something somewhat similar may occur. I guess I didn't do too well!

For all that is sane do not move over to science. Trust me, even with epic math skills you still be going "This makes no fucking sense!" >_>
Sometimes the problem is the way it's taught, or just the individual personality! I take Physics right now, and for the most part it makes sense to me! But I tried to teach a physics course for biology students, and there all the equations were just dumped on you, without having much inkling of why or what they did. Likewise I took biology in high school, but it was taught in a way such that it was all memorization and no real applications, and I really didn't like it, whereas I'm sure my friends in biology would claim the opposite!

I'd say math is the worst in the not-making-sense department - classes like vector calculus and real analysis will challenge your ability to visualize problems and comprehend the theorems in realistic terms!
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Tellemurius

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Re: Favorite Math/Science Equation/Theory
« Reply #26 on: March 30, 2011, 10:09:50 pm »

Yes thats true, I taken chemistry and physics at the same time in high school. There was a lot of collisions of theories and "No this works!"

so far chemistry won for me.

Vector

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Re: Favorite Math/Science Equation/Theory
« Reply #27 on: March 30, 2011, 11:29:01 pm »

Now I vaguely want to know what would happen if you happened across set theory in a dark alleyway :D
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Max White

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Re: Favorite Math/Science Equation/Theory
« Reply #28 on: March 30, 2011, 11:33:44 pm »

I really like the principle of evolution. That is that any system where objects have the properties of replication, inheritance, mutation and selection will become more adapt to their selective environment. It's a really nifty idea that can be applied to produce elegant designs without full understanding of the nature of the design, they just work better then before.

Osmosis Jones

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Re: Favorite Math/Science Equation/Theory
« Reply #29 on: March 30, 2011, 11:44:51 pm »

Lessee if we are talking maths, its so hard to choose. Laplace transforms are definitely up there though; the ability to convert a polynomial to a higher order differential, and more importantly, a differential to a polynomial is amazing. Residue theory is also pretty damn amazing; it lets you solve any closed integral around an analytic surface as merely a function of the poles inside the surface (poles being points like x = 0 for 1/x). Wait... Logical2u already mentioned that... you obviously have good taste sirruh!

If we are talking physics though, honestly, simple and elegant wins; einsteins derivation of the rest mass of an object from special relativity is actually quite beautiful. That, and also if you guys ever solve for the waveforms of the higher orbitals of a hydrogen atom, they look really quite funky. A quite cool example of complexity arising from some relatively simple initial equations (relatively simple may mean different things for a physicist and anyone else, mind).
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